Humans prefer smaller sooner over larger later rewards, a tendency denoted as temporal discounting. Discounting of future rewards is increased in multiple maladaptive behaviors and clinical conditions. Although temporal discounting is stable over time, it is partly under contextual control. Appetitive (erotic) cues might increase preferences for immediate rewards, although evidence to date remains mixed. Reward circuit activity was hypothesized to drive increases in temporal discounting following cue exposure, yet this was never tested directly. We examined erotic vs. neutral cue exposure effects on subsequent temporal discounting in a preregistered within-subjects study in healthy male participants (n = 38). Functional magnetic resonance imaging assessed neural cue-reactivity, value-computations, and choice-related effects. We replicated previous findings of value-coding in ventromedial prefrontal cortices, striatum, and cingulate cortex. Likewise, as hypothesized, lateral prefrontal cortex activity increased during delayed reward choices, potentially reflecting cognitive control. Erotic cue exposure was associated with increased activity in attention and reward circuits. Contrary to preregistered hypotheses, temporal discounting was unaffected by cue exposure, and cue responses in reward circuits did not reliably predict changes in behavior. Our results raise doubts on the hypothesis that upregulation of (dopaminergic) reward systems following erotic cue exposure is sufficient to drive myopic approach behavior towards immediate rewards.

People and many animals devalue future rewards as a function of time, resulting in an increased preference for immediate rewards (temporal discounting (TD); Kalenscher & Pennertz, 2008; Peters & Büchel, 2011). Despite high intra-individual stability (Bruder et al., 2021; Enkavi et al., 2019; Kirby, 2009), TD varies substantially across individuals (Peters & Büchel, 2011; Soman et al., 2005). High discount rates are observed in clinical groups exhibiting impulsive and/or short-sighted behavior (Bulley & Schacter, 2020), including gambling disorder, substance abuse, impulse control disorders, or lesions to the prefrontal cortices (Amlung et al., 2019; Garofalo et al., 2022; Lempert et al., 2019; Peters & D’Esposito, 2016; Weinsztok et al., 2021).

TD can be affected by environmental factors and cues (Lempert & Phelps, 2016; Peters & Büchel, 2011). In men, TD increases following block-wise presentation of arousing images of opposite-sex faces or erotica (Kim & Zauberman, 2013; Van den Bergh et al., 2007; Wilson & Daly, 2004), stimuli which possess inherently rewarding or appetitive qualities and elicit basic emotional responses (Klucken et al., 2013). More recent results support a more fine-graded association between visual appetitive stimulus processing and impulsivity, possibly moderated by internal motivational (e.g., mating mindset; see Chiou et al., 2015) or metabolic (e.g., hunger; see Otterbring & Sela, 2020) conditions (Chiou et al., 2015; Otterbring & Sela, 2020). Such internal states might foster active approach behavior towards immediate rewards.

Previous studies hypothesized that an upregulation of reward circuitry following appetitive cue exposure might drive this effect (Van den Bergh et al., 2007). Indeed, exposure to primary reinforcers including appetitive (erotic) cues increases activity in reward circuits, including ventral striatum (VS), orbitofrontal cortex (OFC), and ventral tegmental area (VTA; Brand, Snagowski, et al., 2016; Gola & Draps, 2018; Gola et al., 2016, 2017; Golec et al., 2021; Klein et al., 2020; Markert et al., 2021; Stark et al., 2019, 2022; Voon et al., 2014; Wehrum-Osinsky et al., 2014). Such exposure might also lead to a bias towards short-term rewards (Li, 2008; Mathar et al., 2022; Yeomans & Brace, 2015) possibly driven by increased dopamine (DA) release. Cortical and striatal dopamine tone have been shown to modulate TD (Arrondo et al., 2015; Cools, 2008; de Wit, 2002; Hamidovic et al., 2008; Kayser et al., 2012; Petzold et al., 2019; Pine et al., 2010; Wagner et al., 2020; Weber et al., 2016), although overall directionality of DA effects appears still mixed (D’Armour-Horvat & Leyton, 2014).

Erotic cue processing and a resulting present orientation in healthy participants might share conceptual similarities with cue-reactivity in addiction, referring to increased subjective, physiological, and neural responses to addiction-related cues (Courtney et al., 2015; Starcke et al., 2018; Volkow et al., 2010; Zhou et al., 2019). Exposure to gambling-related cues can drive increases in TD in gambling disorder (Dixon et al., 2006; Miedl et al., 2014; Wagner et al., 2022). Moreover, increased ventral striatal reactivity to erotic visual stimuli has been associated with the self-reported symptoms of Internet pornography addiction (Brand, Snagowski, et al., 2016), pornography use (Gola et al., 2017), and compulsive sexual behaviors (CSB; Gola & Draps, 2018; Voon et al., 2014).

The study of appetitive cue effects on TD in healthy participants might thus inform our understanding of maladaptive behaviors in clinical groups and potential interventions.

To sum up, there is considerable evidence that exposure to highly appetitive (erotic) cues can increase TD (Kim & Zauberman, 2013; Otterbring & Sela, 2020; Wilson & Daly, 2004) and that erotic cues upregulate activity in reward-related (dopaminergic) regions (Gola et al., 2016; Stark et al., 2005, 2019; Wehrum-Osinsky et al., 2014). However, the degree to which neuronal (erotic) cue-reactivity in these areas directly contributes to changes in TD remains unclear.

The current study addressed these issues in the following ways. First, extending previous work, we used fMRI to directly measure the effects of erotic cue exposure on reward circuit activity and subsequent temporal discounting. Second, we linked reward-system-reactivity to TD. Based on the previous literature, we preregistered the following hypotheses (https://osf.io/w5puk/):

  • Behavioral hypotheses

    • H1: Temporal discounting will be selectively increased following erotic cue exposure. This effect will be driven by an enhanced bias towards smaller but sooner options

  • Neuronal hypotheses—replication of previous study findings

    • H2: The subjective value (SV) of the delayed rewards (LL) will be coded in striatal and ventromedial prefrontal areas (vmPFC; see Peters & Büchel, 2009)

    • H3: Lateral prefrontal cortex activity (LPFC) will be increased during choices of LL vs. SS rewards (see Hare et al., 2014; Smith et al., 2018)

    • H4: Erotic vs. neutral cues will upregulate activity in a set of a priori-defined regions related to the processing of visual erotic stimuli (see Stark et al., 2019; a detailed procedure on ROI definition is outlined in the methods section)

  • Neuronal hypotheses—novel insights (linking neuronal cue effects to temporal discounting)

    • H5: Lateral prefrontal cortex (lPFC) activity at onset of LL-option onset will be reduced following erotic vs. neutral cues

    • H6: Increased reward-system-reactivity (erotic>neutral) within key dopaminergic regions (Nacc, VTA) and reduced LPFC activity in response to erotic cues will both be positively associated with cue-induced increases in TD

2.1 Participants

Based on mean effect size estimates from two previous studies on erotic cue exposure effects on TD (Kim & Zauberman, 2013; Wilson & Daly, 2004), a power analysis (G*Power; Faul et al., 2007) yielded a preregistered sample size of N = 31 when taking a test-retest reliability estimate of TD into account (Enkavi et al., 2019) (effect size Cohen’s f = 0.22, error probability α = .05, power = .80; F-tests, number of groups: 1; number of measurements: 2; correlation between repeated measures: 0.65). To account for potential drop out and data loss, we tested a total sample of 38 participants. Two participants dropped out after the first testing session. fMRI data from one additional participant was lost due to technical error at the MRI environment, while behavioral data was preserved. The final sample therefore consisted of N = 36 male participants (mean age ± SD (range) = 31.2 ± 7.5 (20-50)). Participants were recruited via advertisements on Internet bulletin boards, mailing lists, and local notices. Main inclusion criteria included male gender, right-handedness, heterosexuality, normal or corrected-to-normal vision, no alcohol or drug abuse, no psychiatric, neurological, or cardiovascular disease (past or current), and no pacemakers or other ferromagnetic materials on the body. All experimental procedures were approved by the institutional ethics committee of the University of Cologne Medical Center (application number: 17-045), and participants provided informed written consent prior to participation in the study.

2.2 Appetitive cues

During each of the fMRI sessions, participants underwent two analogous cue exposure phases and performed two different decision-making tasks (see Tasks & Procedure section 2.3). Depending on the experimental condition of the day, participants were exposed to either erotic or neutral visual stimuli. Experimental images were partly derived from IAPS database, Nencki Affective Picture System (NAPS), EmoPics (Lang et al., 2008; Marchewka et al., 2014; Wessa et al., 2010) and from a google search. Our preliminary stimulus set consisted of 220 erotic and neutral images which were roughly matched for image content and complexity. In a preceding pilot study, the preliminary set was rated concerning valence and arousal levels by an independent sample. The most arousing erotic (N = 90) and the least arousing neutral images (N = 90) were included into our experimental image pool. Consequently, erotic and neutral cues differed in arousal (erotic: 65.07 ± 3.51, neutral: 4.89 ± 3.39; t(178) = 140.67, p < 0.001) and valence (erotic: 64.92 ± 3.39, neutral: 48.90 ± 9.84; t(178) = 14.59, p < 0.001). We ensured that images were matched on intensity (erotic: 0.46 ± 0.09, neutral: 0.45 ± 0.14; t(178) = 0.26, p = 0.79) and contrast (erotic: 0.19 ± 0.04, neutral: 0.19 ± 0.03; t(178) = -0.47, p = 0.64). Control scrambled images were created by randomly shuffling pixel locations, thereby preserving intensity and contrast. Unique image sets were created for each participant and for each cue phase by randomly drawing 40 intact and 20 scrambled control images without replacement from their respective image pools (N = 90).

2.3 Tasks & procedure

The current study was conducted as one group within-subject design, including two experimental conditions (erotic vs. neutral). Data collection took place on two testing days with an approximate interval of 11 days (mean ± SD (range) = 11.31 ± 12.62 (1-70)). Each day, participants performed two decision-making tasks and two cue-exposure phases during fMRI. After introduction to the experimental set-up and scanning-preparation, participants completed the first cue-exposure phase. The cue phase consisted of 40 neutral or appetitive (erotic) images (depending on the condition on that day) and 20 scrambled control images which should be passively viewed. Each image was shown on the screen for a fixed duration of 6 s. To maintain participants’ attention, 10 trials were randomly chosen, in which participants had to indicate (via keypress) whether the last presented image depicted a person or not. We included an intertrial-interval (ITI) between consecutive image presentations, which was marked by a white fixation cross. The duration of the ITI was sampled from a poisson distribution (M = 2 s; range: 1-9 s). The total duration of the cue phase was 10 min. Following the first cue phase, participants completed 128 trials of a classical delay-discounting task (Peters & Büchel, 2009). On each trial, participants chose between a fixed immediate reward of 20€ (SS) and a variable delayed amount (LL). Every trial started with the presentation of the available LL-reward and the associated delay (e.g., 38€, 14 days). The LL-reward was depicted centrally on the screen for a fixed duration of 2 s. LL-presentation was followed by a short jitter interval which was marked by a white fixation cross. The jitter interval was included to better differentiate phases of valuation (LL-presentation phase) and choice for conducted fMRI analyses (see below). The duration of the jitter interval was sampled from a poisson distribution (M = 2 s; range: 1-9 s) and was followed by the decision screen. Here, participants chose between one of two symbols corresponding to the two options (SS: circle; LL: square). The response window was 4 s. The chosen option was highlighted for 1 s. The ITI was again marked by a white fixation cross with a presentation duration sampled from a poisson distribution (M = 2 s; range: 1-9 s). An example trial is depicted in Figure 1.

Fig. 1.

Example trial from the delay discounting task. Larger later reward (LL) presentation was preceded and followed by short jitter intervals (ITI), marked by white fixation crosses; Durations for the jitter intervals were sampled from a poisson distribution (M = 2 s; range: 1-9 s); Thereafter, the decision screen was presented. The fixed smaller sooner reward (SS; 20€) was never shown throughout the experiment.

Fig. 1.

Example trial from the delay discounting task. Larger later reward (LL) presentation was preceded and followed by short jitter intervals (ITI), marked by white fixation crosses; Durations for the jitter intervals were sampled from a poisson distribution (M = 2 s; range: 1-9 s); Thereafter, the decision screen was presented. The fixed smaller sooner reward (SS; 20€) was never shown throughout the experiment.

Close modal

The LL-rewards were calculated beforehand by multiplying the SS-amount with two different sets of multipliers, differing slightly across days (Set 1: [1.01 1.02 1.05 1.10 1.15 1.25 1.35 1.45 1.65 1.85 2.05 2.25 2.65 3.05 3.45 3.85]; Set 2: [1.01 1.03 1.08 1.12 1.20 1.30 1.40 1.50 1.60 1.80 2.00 2.20 2.60 3.00 3.40 3.80]). We likewise used two sets of delays (Set 1: [1 3 5 8 14 30 60 122 days]; Set 2: [2 4 6 9 15 32 58 119 days]). Multiplier and delay combinations were randomly assigned to testing days per participant. Participants were instructed explicitly about the task structure and performed 10 test trials during a practice run within the scanner. In accordance with previous studies (Green et al., 1997; Mathar et al., 2022; Wagner et al., 2020), we used hypothetical choice options. However, note that discount rates for real and hypothetical rewards are highly correlated and similarly processed on the neuronal level (Bickel et al., 2009; Johnson & Bickel, 2002).

Following the TD task, participants underwent a second analogous cue phase, which was then followed by a reinforcement learning task (Two-Step task). This task is preregistered separately and will be reported elsewhere.

The second day followed exactly the same structure, with the exception of the cue phases. Depending on the condition on the first day, participants were presented with images from the other condition (neutral or erotic). The sequence was counterbalanced between participants (50% of the participants started with the erotic cue condition, and the other 50% were first presented with neutral cues). After completing the scanning session on the second day, participants performed three short working memory tasks (operation span (Foster et al., 2015), listening span (van den Noort et al., 2008), and digit span (Wechsler, 2008)) on a laptop and filled out a computerized questionnaire battery as well as a demographic survey. However, note that data from demographic, health, and personality questionnaires will be reported elsewhere.

2.4 Data analysis

2.4.1 Behavioral data analysis of intertemporal choice

We used two different approaches to quantify impulsivity as measured by the TD task. Our model-based approach assumed hyperbolic devaluation of delayed rewards (Green & Myerson, 2004; Mazur, 1987) and a softmax choice rule for modeling subjects’ intertemporal decisions. For model-free analysis, we directly focused on actual choice preferences of SS- and LL-options.

Model-agnostic approach

A model-free analysis can avoid problems associated with the choice for a particular theoretical framework (e.g., hyperbolic discounting) or extreme parameter estimates that result in skewed distributions. The latter might yield problems for statistical approaches that require normally distributed variables. We therefore simply computed the relative proportion of SS-choices for every participant and condition (neutral vs. erotic) to obtain a model-agnostic measure of TD (Eq. 1).

(1)
Computational modeling

We used hierarchical Bayesian modeling to fit a hyperbolic discounting model with softmax action selection to the choice data. This approach enables to separately assess cue condition effects on both steepness of temporal discounting and decision noise which cannot be disentangled via model-free approaches.

For each parameter (discount rate k, modeled in log-space, and inverse temperature ß), we fit separate group-level Gaussian distributions for the neutral condition from which individual subject parameters were drawn. To model condition effects on each parameter, we fit separate group-level distributions modeling deviations from the neutral condition for erotic cues, respectively (“shift”-parameter; Eqs. 2-3). Whereas higher k-parameters reflect an increased devaluation of the LL over time or more impulsive choice preferences, ß scales the influence of value differences on choice probabilities. Lower values of ß indicate a high choice stochasticity, whereas higher values indicate that choices depend more on value differences.

(2)
(3)

Here, IEro is a dummy-coded indicator variable coding the experimental condition (1 = erotic, 0 = neutral) and SEro are subject-specific parameters modeling changes in log(k) and ß depending on the condition in trial t. Computation of the discounted subjective value (SV) of the larger later option (LL) for a given delay D and amount A in a given trial then uses the standard hyperbolic model (Eq. 4):

(4)

However, cue exposure might also affect TD beyond a modulation of log(k), for example, by inducing an overall offset in the discounting function. To account for such effects, we examined another model that allowed for an offset in the discounting function in the neutral condition (modeled by the parameter ωNeutSV), which might then again be differentially affected by erotic cues (SEroω, Eq. 5).

(5)

Because a positive ωNeutSV would indicate a subjective value of the LL that exceeds the objective amount (at delay = 0), the range of the offset-parameter was restricted between 0 and 1. Finally, subjective values of SS- and LL-options as well as modulated inverse temperature parameter ß (Eq. 3) were then used to calculate trial-wise choice probabilities according to a softmax choice rule:

(6)

In summary, we compared two models: Model 1 (Base-model) only included SEroβ and SErok to assess cue exposure effects on ß and log(k). Model 2 (Offset-model) additionally included a potential change in the offset, SEroω.

Parameter estimation

Posterior parameter distributions were estimated via no-U-turn sampling (NUTS; Hoffmann & Gelman, 2014) implemented in STAN (Carpenter et al., 2017) using R (R Core Team, 2022) and the RStan Package (Stan Development Team, 2018). Prior distributions for the group-level parameters are listed in Table 1. Group mean priors were derived from posterior means and standard deviations from a recent study from our group, based on the Base-model (Mathar et al., 2022). STAN model code for all models is publicly available at OSF (Base-Model: osf.io/6uz8g; Offset-Model: osf.io/mgjx5). Model convergence was assessed via the Gelman-Rubinstein convergence diagnostic R^, and values of 1 ≤ R^ < 1.05 were considered acceptable. We ran 4 chains with a burn-in period of 1500 samples and no thinning. 4000 samples were then retained for further analysis. For details on MCMC convergence, see Gelman & Rubin (1992). We used Bayesian statistics (see Kruschke, 2010) to evaluate cue effects on model parameters of the best fitting model. Relative model fit was assessed via the loo-package in R using the Widely-Applicable Information Criterion (WAIC), where lower values reflect a superior fit of the model while considering its complexity (Vehtari et al., 2017; Watanabe, 2010).

Table 1.

Priors of group-level parameter means

Base-model Parameter Group mean prior 
k Normal (-4.2, 2.01) 
SErok Normal (.15, .64) 
ß Normal (.51, .3) 
SEroß Normal (.02, .11) 
Offset-model Parameter Group mean prior 
k Normal (-4.2, 2.01) 
SErok Normal (.15, .64) 
ß Normal (.51, .3) 
SEroß Normal (.02, .11) 
ω Uniform (0, 1) 
SEroω Normal (0, .4) 
Base-model Parameter Group mean prior 
k Normal (-4.2, 2.01) 
SErok Normal (.15, .64) 
ß Normal (.51, .3) 
SEroß Normal (.02, .11) 
Offset-model Parameter Group mean prior 
k Normal (-4.2, 2.01) 
SErok Normal (.15, .64) 
ß Normal (.51, .3) 
SEroß Normal (.02, .11) 
ω Uniform (0, 1) 
SEroω Normal (0, .4) 

We analyzed posterior distributions of group mean condition effects (as reflected in the SEro parameters, see Eqs. 2, 3, and 5 above) by computing their highest density intervals (HDI) and assessed their overlap with zero. We further report undirected Bayes factors (BF01) based on the Savage-Dickey-Density Ratio, which quantify the degree of evidence for a null model that would restrict a parameter of interest at a given value (e.g., SEro = 0) against an alternative model where the parameter can vary freely (see Marsman & Wagenmakers, 2017 for details). To test the degree of evidence for increases vs. decreases in parameter values, we computed directional Bayes factors (dBFs) for condition effects. A dBF corresponds to the ratio of the posterior mass of the shift-parameter distribution below zero to the posterior mass above zero (Marsman & Wagenmakers, 2017). We considered Bayes Factors between 1 and 3 as anecdotal evidence, Bayes Factors above 3 as moderate evidence, and Bayes Factors above 10 as strong evidence. Likewise, the inverse of these values reflects evidence in favor of the opposite hypothesis (Beard et al., 2016).

Posterior predictive checks

We used posterior predictive checks to assess the degree to which the included models (Base-model, Offset-model) reproduced key patterns in the data, in particular the change in LL choice proportions across delays. For this purpose, we simulated 4000 datasets from each model’s posterior distribution and plotted the mean observed proportion of LL choices and the simulated LL choice proportions across delay. This was done separately for both conditions (neutral, erotic).

2.4.2 fMRI data acquisition

MRI images were acquired on a 3 Tesla Magnetom Prisma Fit system (Siemens, Erlangen, Germany) equipped with a 64-channel head coil. Task stimuli were presented on an MR compatible screen and a rearview mirror system. Participants responded with their index and middle fingers on a two-button box, held in their right hand. Psychophysics Toolbox Version 3.52 implemented within MATLAB R2019b software (The Mathworks Inc., MA, USA) was used for stimulus presentation and behavioral data collection. Functional images were acquired in 5 separate runs (Cue phase1, TD, Cue phase 2, Two-step (first half), Two-step (second half)) by utilizing a multiband gradient echo-planar imaging (mb-EPI) sequence with repetition time (TR) = 0.7 s, echo time (TE) = 37 ms, flip angle = 52°, field of view (FOV) = 208 mm, voxel size = 2 mm³ isotropic (slice thickness = 2 mm, no gap), and multiband acceleration factor of 8. Each volume consisted of 72 transverse slices acquired in alternating order from the anterior-posterior commissure plane. The 5 runs contained ~7700 volumes for each participant and ~90 min of total scan time per day.

2.4.3 fMRI data analysis

Preprocessing and analyses of fMRI data was performed using SPM12 (v7771; Wellcome Trust Centre for Neuroimaging) implemented in MATLAB R2019b (The MathWorks), and the FMRIB Software Library (FSL; Version 6.0.4; 150). Prior to statistical analysis, the first five functional volumes were discarded to allow for magnetic saturation. Functional images were corrected for motion and distortion artifacts using the FSL tools MCFLIRT and topup (Andersson et al., 2003; Smith et al., 2004). Next, anatomical T1-images were co-registered to functional images and normalized to the Montreal Neurological Institute (MNI) reference space using the unified segmentation approach in SPM12 (voxel size after normalization: [2,2,2] mm). Finally, we normalized functional images using the ensuing deformation parameters, and smoothed using a 6 mm full-width-half-maximum Gaussian kernel.

Cue phase
1st/2nd level modeling

Both testing days entailed two separate cue exposure phases (session 1 & 2). Note that to examine cue effects on TD, we only focused on the first cue exposure session directly preceding the TD task. In each cue phase, participants viewed 40 intact and 20 scrambled images. Depending on the condition of the day, intact images depicted either everyday scenes and portraits of people (neutral condition) or nude women (erotic condition).

Using SPM12, functional images from each day were analyzed using a general linear model (GLM). Each GLM examined the sustained activity during the presentation of intact and scrambled image types using boxcar regressors (duration = 6 s) which were convolved with the canonical hemodynamic response function (HRF). To account for residual variance caused by subject movement, we included the following nuisance regressors: 24 motion parameters (6 motion parameters relating to the current and the preceding volume, respectively, plus each of these matrices squared, see Friston et al., 1996), mean signal extracted from the ventricular cerebrospinal fluid (CSF), and a matrix containing motion-outlier volumes (identified by assessing global intensity differences between subsequent volumes; threshold: >75th percentile + 2.5 * interquartile range of the global signal).

Contrast images for intact and scrambled image presentation from the cue exposure phases (Cuephase1Erotic; Cuephase1Neutral) were then entered into a second-level random effects model (flexible factorial design; factors: subjects, visibility (intact, scrambled), condition (erotic, neutral)) to evaluate BOLD-activity changes attributable to erotic image content. Variances for all factors were set to: equal. We included a main effect for “subject” and an interaction term for the factors “visibility” and “condition.”

We ran two analyses to evaluate neural effects of neutral vs. erotic cues. First, to replicate erotic cue effects (vs. intact neutral cues), we examined a priori-defined regions-of-interest (ROIs) related to the processing of visual erotic stimuli (see H4; Stark et al., 2019). The ROI mask was created using the group-level results (t-map) for the contrast erotic>neutral from Stark et al. (2019). For this purpose, we first used custom MATLAB code to filter out all voxels whose t-values fell below a cut-off of 6. Thereby we only kept the “most significant” voxels, showing increased responsiveness to erotic stimulus content. We then used small volume family wise error (FWE) correction (p < 0.05) across the entire mask to control for multiple comparisons. Further whole-brain effects of visual cue exposure are reported at an FWE-corrected threshold (p < 0.05; peak-level).

Second, we tested for associations between reward-system activity (erotic>neutral) within key dopaminergic (Nacc, VTA) and prefrontal (DLPFC) regions and behavioral cue effects on TD following erotic vs. neutral cue exposure (see H6). In more detail, we assessed associations between neuronal cue-reactivity-responses within the first cue phase (Eroticsession1>Neutralsession1) and subject-specific shift-parameters (SEro(k), SEro(ω)), capturing condition-specific changes in TD. Associations were quantified via Bayesian correlations (using JASP (JASP Team, 2022; Version 0.14.3)) separately for predefined subcortical (Nacc, VTA) and cortical (DLPFC) ROIs.

To extract VTA activity, we first constructed an anatomical mask based on Stark and colleagues (2019; see above). Specifically, we used reported peak coordinates from the group contrast erotic>neutral (VTA: -6, -8, -10 and the mirrored location) as centers of two 10 mm spherical ROIs, which we then combined into a bilateral mask. For Nacc, we focused on the striatal cluster within the “reward” mask based on two meta-analyses, provided by the Rangel Neuroeconomics lab (http://www.rnl.caltech.edu/resources/index.html  ). This mask combines bilateral striatum, vmPFC, posterior cingulate cortex (PCC), and anterior cingulate cortex (ACC). Lastly for DLPFC, we built a custom mask based on previous studies reporting increased DLPFC-activity during LL vs. SS choices (Smith et al., 2018; see below). To calculate brain-behavior correlations, we first identified peak voxels from our group-level contrast erotic(intact)>neutral(intact) within the mentioned VTA, striatum, and DLPFC masks and extracted parameter estimates from these voxels for each participant.

Delay-discounting-task
1st/2nd level modeling

On both testing days, the first cue exposure phase was followed by a classical delay discounting task (see methods section 2.3). Functional images from both days (i.e., conditions) were analyzed separately using general linear models (GLM) implemented in SPM12. Each GLM included the following regressors: (1) the presentation of the larger later option (LL) as event regressor (duration = 2 s), standardized discounted subjective value (SV) as parametric modulator (computed based on the best-fitting model), (3) the onset of the decision period as stick regressor (duration = 0 s), and (4) the choice (LL vs. SS) as parametric modulator. Invalid trials on which the participant failed to respond within the response window (limit: 4 s) were modeled separately. All regressors were convolved with the canonical hemodynamic response function as provided by SPM12. Residual movement artifacts were corrected by using the same nuisance regressors as for the cue phase (see above).

We hypothesized subjective value (SV) of delayed rewards to be encoded in ventral striatal (VS) and ventromedial prefrontal areas (vmPFC) and that lateral prefrontal cortex activity (DLPFC) would be increased during choices of LL rewards (see H2 & H3). Further, we predicted that DLPFC activity during delayed reward presentation would be reduced following erotic cue exposure (see H5). To test H2 and H3, we entered the respective contrast images of parametric effects of subjective value (SV) and the chosen option (LL vs. SS) into separate second-level random effects models. We focused on predefined ROIs implicated in TD SV-computations (H2; Bartra et al., 2013; Clitero & Rangel, 2014) and choice behavior (H3; Smith et al., 2018). Specifically, H2 was tested using again the combined “reward” mask, which was provided by the Rangel Neuroeconomics lab (http://www.rnl.caltech.edu/resources/index.html), and combines bilateral striatum, vmPFC, PCC, and ACC. To test H3, we again used the above-mentioned DLPFC-mask created on findings on LL vs. SS choices (Smith et al., 2018). To control for multiple comparisons, we applied small volume correction (SVC; p < 0.05, peak-level) across the reward mask (H2) or the DLPFC mask (H3).

Finally, we tested for condition-related (erotic vs. neutral) differences in prefrontal activation related to the onset of the LL-rewards (H5). For this purpose, LL-onset regressors were directly compared between neutral and erotic image conditions on the group level. Here, we again used the above-mentioned preregistered DLPFC-ROI (Smith et al., 2018) for SVC (p < 0.05, peak-level).

2.4.4 Deviations from preregistered analyses

This study was preregistered (https://osf.io/w5puk). We deviated from the preregistered analyses in the following ways: First, based on mean effect size estimates from two previous studies on erotic cue exposure effects on TD, we preregistered a minimum sample size of n = 31 to reach a power of .80 (effect size Cohen’s f = 0.22, error probability α = .05). To account for potential dropout, we aimed for a final sample size of n = 40. Due to technical issues of the MRI scanning environment, the final sample consisted of 38 subjects which was further reduced to 36, as two participants voluntarily dropped out of the experiment. Nevertheless, this still exceeds the minimum sample size by 5, indicating that we had enough power to detect potential erotic cue effects on TD.

Second, we slightly deviated from our planned computational modeling approach to quantify erotic cue effects on TD. We initially preregistered three models which all used hierarchical Bayesian modeling to fit variants of the hyperbolic model with softmax action selection to the choice data. However, two of the preregistered models suffered from two shortcomings (Model 2 & 3 in the preregistration). First, they both assumed cue-induced SV-offsets only in the erotic condition, thereby selectively increasing flexibility and predictive power in one condition. To correct this asymmetry, we now allowed for an offset of the discounting function in the neutral condition, which again could be differentially modulated by erotic cues (see Model 2, section 2.4.1). Second, the preregistered offset-parameter was initially defined as additive. However, validation analyses revealed that this formulation yielded implausible SVs (e.g., SVLL < 0) in a few individuals who exhibited extremely unbalanced choice behavior (e.g., only very few SS or LL choices). Therefore, we changed the model formulation to a multiplicative offset (see Eq. 5).

The results section is structured as follows. In accordance with our preregistered analysis plan, we first report the results of the replication analyses for the fMRI data for subjective value coding (H2), intertemporal choice (H3), and erotic cue processing (H4). Next, we report behavioral and modeling results regarding effects of cue exposure on TD (H1). Finally, to link neuronal cue-reactivity to TD, we report findings from two separate analyses. First, we assessed cue exposure effects on DLPFC activity at the during LL-reward presentation (H5). Second, we examined between-subjects associations between erotic reward-system-responsivity within key dopaminergic (Nacc, VTA) and prefrontal (DLPFC) areas, and alterations in TD (H6).

3.1 Neuronal correlates of subjective discounted value

We hypothesized subjective value (SV) coding of delayed rewards in striatal (VS) and ventromedial prefrontal areas (vmPFC; see Peters & Büchel, 2009; see H2). Our GLM incorporated the onset of the LL-option as event regressor (duration = 2 s) and the standardized discounted subjective value (SV) of the LL option as parametric modulator. SVs were based on the best-fitting Offset-model (methods section 2.4.2, lowest WAIC, see below). We used a combined “reward” ROI mask provided by the Rangel Neuroeconomics lab (http://www.rnl.caltech.edu/resources/index.html). This mask combines bilateral striatum, vmPFC, PCC, and ACC and was used for small-volume correction.

Figure 2A shows brain activation that covaried with subjective discounted value of larger later rewards across experimental conditions (main effect across erotic and neutral). ROI analysis replicated previous findings on subjective value coding in a large cluster within medial prefrontal cortex (peak coordinates x, y, z (in mm): 2, 54, -10; z-value = 5.83, pSVC < 0.001), posterior cingulate cortex (PCC; -10, -34, 38; z-value = 4.38, pSVC = 0.005), and right ventral striatum/caudate (VS; 4, 10, 2; z-value = 4.22, pSVC = 0.010)—confirming hypothesis H2. Parameter estimates extracted from vmPFC, PCC, and VS peak voxels illustrate that this effect was evident in the vast majority of individual participants (see Fig. 2B). Value-related activity in predefined ROIs did not differ between experimental conditions (no suprathreshold clusters for the contrasts: erotic>neutral or neutral>erotic). When running separate analyses for each condition, significant SV coding was confirmed in mPFC, PCC, and VS in the erotic condition (pSVC < 0.05). In the neutral condition, this was true for the mPFC, VS reached trend level (see Supplementary Table S1). T-maps from the respective group-level contrasts are publicly available at OSF (https://osf.io/9uzm8/).

Fig. 2.

Neuronal correlates of subjective value (SV). (A) Display of the parametric SV-regressor (main effect across conditions); red, p < 0.001 (uncorrected); yellow, whole-brain FWE-corrected p < 0.05; blue, preregistered regions of interest from reward mask (see above); (B) Extracted ß-estimates of each participant extracted from medial prefrontal cortex (mPFC), posterior cingulate cortex (PCC), and ventral striatum/caudate (VS) peak coordinates of the parametric SV-regressor; error bars denote SEM.

Fig. 2.

Neuronal correlates of subjective value (SV). (A) Display of the parametric SV-regressor (main effect across conditions); red, p < 0.001 (uncorrected); yellow, whole-brain FWE-corrected p < 0.05; blue, preregistered regions of interest from reward mask (see above); (B) Extracted ß-estimates of each participant extracted from medial prefrontal cortex (mPFC), posterior cingulate cortex (PCC), and ventral striatum/caudate (VS) peak coordinates of the parametric SV-regressor; error bars denote SEM.

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3.2 Neuronal correlates of intertemporal choice

We predicted increased dorsolateral prefrontal cortex activity (DLPFC) during choices of LL vs. SS rewards (Smith et al., 2018; see H3). Our GLM included the onset of the decision period as event regressor (duration = 0 s) and the selected option (LL vs. SS) as parametric modulator. We built (and preregistered) a custom (left) DLPFC-mask based using a 12 mm sphere centered at the group peak coordinates for the contrast “LL- vs. SS-choice” reported by Smith and colleagues (2018) (peak coordinates (x = -38, y = 38, z = 6)).

This ROI analysis replicated increased activity in left DLPFC associated with LL vs. SS choices across conditions (main effect across erotic and neutral; peak coordinates: -40, 48, 4; z-value = 4.26, pSVC = 0.003; see Fig. 3), confirming hypothesis H3. We found no suprathreshold clusters for the contrasts: erotic>neutral or neutral>erotic. This effect was also confirmed in our preregistered ROI when each condition was analyzed separately (Supplementary Table S2). T-maps from the respective group-level contrasts are publicly available at OSF (https://osf.io/9uzm8/).

Fig. 3.

Neuronal correlates of larger-later (LL) vs. smaller-sooner (SS) choices. (A) LL>SS contrast (main effect across conditions); red, p < 0.001 (uncorrected); yellow, whole-brain FWE-corrected p < 0.05; blue, predefined regions of interest from custom DLPFC mask (see above); (B) ß-estimates of each participant extracted from left DLPFC peak coordinates; error bars denote SEM.

Fig. 3.

Neuronal correlates of larger-later (LL) vs. smaller-sooner (SS) choices. (A) LL>SS contrast (main effect across conditions); red, p < 0.001 (uncorrected); yellow, whole-brain FWE-corrected p < 0.05; blue, predefined regions of interest from custom DLPFC mask (see above); (B) ß-estimates of each participant extracted from left DLPFC peak coordinates; error bars denote SEM.

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Subsequent whole-brain (FWE-corrected) analysis revealed two additional clusters coding for LL vs. SS choices across conditions (main effect across erotic and neutral), located in the right insular cortex (36, 20, -4; z-value = 5.38, pFWE = 0.007) and the cerebellum (-34, 66, -34, z-value = 5.28, pFWE = 0.012). We found no suprathreshold clusters for either condition contrast (erotic>neutral; neutral>erotic) using whole-brain FWE correction (p < 0.05).

In an exploratory whole-brain approach, we also checked for brain activity associated with choices of the immediately available option, that is the smaller but sooner option/reward (SS). Here, we found that brain activity within a multitude of cortical (cerebellum, mid-cingulate, bilateral insula, mid-frontal cortex) but especially subcortical regions (bilateral caudate, right putamen, thalamus, hippocampus) positively correlated with SS-choices across both experimental conditions (see Supplementary Fig. S1). For the condition contrasts, erotic>neutral and neutral>erotic however, no voxels survived whole-brain FWE correction (p < 0.05).

3.3 Appetitive cue effects on neuronal reward circuitry

We predicted (erotic-) cue effects on TD to be at least partly moderated by activations in neuronal reward circuits (Li, 2008; Stark et al., 2019; Yeomans & Brace, 2015). During the cue exposure phase, participants were exposed to 40 intact (erotic or neutral) and 20 scrambled control images. Analyses only focused on the first cue exposure session directly preceding the TD task. We ran a flexible factorial random-effects model (factors: visibility (intact/scrambled), condition (erotic/neutral)) and preregistered ROIs based on a previous study (Stark et al., 2019; see methods section for details). ROI analyses applied small-volume FWE correction (p < 0.05) across the entire mask.

A sanity check confirmed widespread functional responses across occipital and ventral temporal cortices for the intact vs. scrambled contrast (see Supplementary Fig. S2).

As depicted in Figure 4, (intact) erotic, compared to (intact) neutral cue exposure was associated with increased activity in widespread cortical and subcortical regions. Our preregistered ROI analysis revealed increased activity in four large posterior (cortical) clusters for erotic vs. neutral cues, including right inferior temporal cortex (52, -60, -4; z-value = 6.25, pSVC < 0.001), left inferior occipital cortex (-48, -68, -6; z-value = 5.42, pSVC = 0.001), right superior parietal cortex (26, -60, 62, z-value = 4.76, pSVC = 0.013), and right middle occipital cortex (28, -72, 30; z-value = 4.51, pSVC = 0.036).

Fig. 4.

Neuronal correlates of (intact) experimental image processing (erotic>neutral). Red, p < 0.001 (uncorrected); yellow, whole-brain FWE-corrected p < 0.05; blue, predefined regions of interest from ROI mask (see above).

Fig. 4.

Neuronal correlates of (intact) experimental image processing (erotic>neutral). Red, p < 0.001 (uncorrected); yellow, whole-brain FWE-corrected p < 0.05; blue, predefined regions of interest from ROI mask (see above).

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We had predicted subcortical activations in reward-related brain regions (e.g., VS, vmPFC) to be linked to erotic cue exposure (H4), but many subcortical effects fell just beyond the preregistered ROI-mask based on Stark et al. (2019). We therefore followed up with a second (not preregistered) ROI analysis using the above-mentioned “reward” mask, based on two meta-analyses, provided by the Rangel Neuroeconomics Lab (http://www.rnl.caltech.edu/resources/index.html). Small-volume correction was again applied across the entire mask. As expected, this confirmed highly robust bilateral effects in the VS/caudate (left: -10, 2, -10; z-value = 4.59; pSVC = 0.002; right: 4, 6, 2; z-value = 3.70; pSVC = 0.047) and the vmPFC (-6, 58, -2; z-value = 4.54; pSVC = 0.002; see Figure 5).

Fig. 5.

Neuronal correlates of (intact) experimental image processing (erotic>neutral). Red, p < 0.001 (uncorrected); yellow, whole-brain FWE-corrected p < 0.05; blue, regions of interest from reward mask (not preregistered, see above).

Fig. 5.

Neuronal correlates of (intact) experimental image processing (erotic>neutral). Red, p < 0.001 (uncorrected); yellow, whole-brain FWE-corrected p < 0.05; blue, regions of interest from reward mask (not preregistered, see above).

Close modal

A t-map depicting all activations associated with erotic>neutral image processing is publicly available at OSF (https://osf.io/9uzm8/). We also checked for increased brain activity following neutral compared to erotic image presentation. However, here we identified no suprathreshold clusters.

3.4 Appetitive cue effects on intertemporal choice

Having thus replicated previous findings on subjective value coding (H2), intertemporal choice (H3), and erotic stimulus processing (H4) (Peters & Büchel, 2009; Smith et al., 2018; Stark et al., 2019), we next assessed condition-related changes in TD behavior.

3.4.1 Model-agnostic approach

Contrary to our hypothesis (H1), TD was not differentially affected by appetitive cue exposure (see Fig. 6). In the neutral condition, the SS-option was chosen in 39.6% of trials whereas in the erotic condition the SS-option was chosen in 38.5% of trials (t(35) = 0.714, p = 0.480).

Fig. 6.

Percentage of smaller-sooner choices split by experimental condition (neutral vs. erotic). Colored dots = single subjects; Dashed lines = condition means; Black diamonds = condition medians; The edges of the boxes depict the 25th and 75th percentiles, and the whiskers extend to the most extreme datapoints the algorithm considers to be not outliers.

Fig. 6.

Percentage of smaller-sooner choices split by experimental condition (neutral vs. erotic). Colored dots = single subjects; Dashed lines = condition means; Black diamonds = condition medians; The edges of the boxes depict the 25th and 75th percentiles, and the whiskers extend to the most extreme datapoints the algorithm considers to be not outliers.

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3.4.2 Computational modeling

Model comparison revealed that choice data were best captured by a hyperbolic model with an additional SV-offset-parameter ω, in addition to parameters accounting for choice consistency (ß) and steepness of TD (log(k); Offset-model). This model comparison replicated across conditions (neutral, erotic), and was confirmed in the combined model including parameters modeling condition effects (see Table 2). The superior fit of the offset-model was also reflected in choice predictions. The Offset-model accounted for around 82.2% (Base-model: 79.6%) of all decisions (Supplementary Table S3, Supplementary Fig. S3). Finally, posterior predictive checks confirmed that LL-choice proportions across delays were much better accounted for by the Offset-model (Fig. 7). All further analyses therefore focused on the Offset-model. However, note that due to an extreme behavioral choice pattern (only one single SS-choice in both conditions), data from one participant could not be explained by our winning model and was excluded from all further analyses.

Fig. 7.

Group-level posterior predictive checks for the included temporal discounting models (Base-model, Offset-model). Here, we plotted the mean observed proportion of LL-choices and the simulated LL-choices from both models for each delay. Specifically, we created 4k simulated data sets from each model’s posterior distribution. For each simulated participant, we calculated the fraction of LL-choices across eight delay bins. Next, we calculated group average proportion of LL-choices for each delay and associated standard errors (vertical bars). Simulated data were then overlaid over the observed choice data. We did this separately for the neutral (A) and erotic (B) conditions as well as for the combined datasets (C).

Fig. 7.

Group-level posterior predictive checks for the included temporal discounting models (Base-model, Offset-model). Here, we plotted the mean observed proportion of LL-choices and the simulated LL-choices from both models for each delay. Specifically, we created 4k simulated data sets from each model’s posterior distribution. For each simulated participant, we calculated the fraction of LL-choices across eight delay bins. Next, we calculated group average proportion of LL-choices for each delay and associated standard errors (vertical bars). Simulated data were then overlaid over the observed choice data. We did this separately for the neutral (A) and erotic (B) conditions as well as for the combined datasets (C).

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Table 2.

Summary of the WAICs of all included hyperbolic models in all sessions

ModelNeutral conditionErotic conditionCombined
WAICRankWAICRankWAICRank
Base-model 2654.537 2699.152 5365.867 
Offset-model 2292.945 2453.293 4771.835 
ModelNeutral conditionErotic conditionCombined
WAICRankWAICRankWAICRank
Base-model 2654.537 2699.152 5365.867 
Offset-model 2292.945 2453.293 4771.835 

Note. Ranks are based on the lowest WAIC.

WAIC, Widely applicable information criterion.

Examination of the posterior distributions of the best-fitting model then confirmed the model-agnostic results. TD (log(k); Fig. 8A) was not substantially affected by erotic cue exposure (SERO(k); Fig. 8B), such that the highest density intervals for SERO(k) substantially overlapped with zero. These data were more likely to be observed under a null hypothesis assuming SERO(k) to be equal to zero (BF01 = 4.11). Interestingly, SV-offset parameters ωneutral clearly differed from one in all participants, emphasizing the general utility of this additional parameter to account for a choice bias irrespective of delay. However, the observed data were much more compatible with the null model where the condition effect in the offset was equal to zero (BF01 = 43.18; Fig. 8C, D), strongly suggesting the offset was not modulated by erotic cue exposure. Likewise, data for the SERO(ß) parameter were much more compatible with the null model, indicating that the change in stochasticity following erotic cue exposure was equal to zero (BF01 = 18.473, see Fig. 9A, B). See Table 3 for summary statistics and Bayes factors of the posterior distributions of all relevant parameters. For completeness, posterior distributions and Bayes factors from the inferior Base-model are reported in the supplement (Supplementary Fig. S4, Supplementary Table S4).

Fig. 8.

Posterior distributions for log(kneutral) and ωneutral (A, C) as well as associated erotic shift parameters (SERO (k, ω), B, D). Colored dots depict single-subject posterior means. Thick and thin horizontal lines indicate 85% and 95% highest density intervals.

Fig. 8.

Posterior distributions for log(kneutral) and ωneutral (A, C) as well as associated erotic shift parameters (SERO (k, ω), B, D). Colored dots depict single-subject posterior means. Thick and thin horizontal lines indicate 85% and 95% highest density intervals.

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Fig. 9.

Posterior distributions for ßneutral (A) and SEROß (B). Colored dots depict single-subject means. Thick and thin horizontal lines indicate 85% and 95% highest density intervals.

Fig. 9.

Posterior distributions for ßneutral (A) and SEROß (B). Colored dots depict single-subject means. Thick and thin horizontal lines indicate 85% and 95% highest density intervals.

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Table 3.

Summary statistics of the posterior distributions of computational shift-parameters (offset-model)

ParameterMeanSDdBFBF01
SERO(k) -0.050 0.634 1.450 4.113 
SERO(ω) -0.001 0.009 0.800 43.184 
SERO(ß) 0.008 0.377 1.380 18.473 
ParameterMeanSDdBFBF01
SERO(k) -0.050 0.634 1.450 4.113 
SERO(ω) -0.001 0.009 0.800 43.184 
SERO(ß) 0.008 0.377 1.380 18.473 

Note. BF01, undirected Bayes factor in favor of null model; dBF, directional Bayes factor; SD, standard deviation.

To confirm the validity of our modeling approach, we also examined associations between SEro(k) and model-free measures of TD (SS-option choice proportions). Correlations between model parameters and model-free measures were consistently in the expected direction (see Supplementary Fig. S5, Supplementary materials).

3.5 Appetitive cue effects on neuronal and behavioral indices of temporal discounting

Despite increased (sub-) cortical processing of erotic compared to neutral cues, TD did not differ between experimental conditions. We next assessed the preregistered links between neuronal cue-reactivity and TD. We first report cue exposure effects on DLPFC activity during LL-reward presentation (H5), possibly indicating changes in (prefrontal) cognitive control. We next show between-subjects associations between erotic reward-system-responsivity within key dopaminergic (Nacc, VTA) and prefrontal (DLPFC) areas, and changes in TD (H6).

Recall that we reasoned (and preregistered) that cue effects on TD reported in previous studies (Kim & Zauberman, 2013; Van den Bergh et al., 2007; Wilson & Daly, 2004) might be due to cue-induced changes in prefrontal control regions and subcortical reward circuits. We tested the first prediction by comparing (left) DLPFC activity during LL-reward presentation (duration = 2 s) between experimental conditions (H5) using the preregistered DLPFC mask and small volume correction (12 mm sphere, peak coordinates (x = -38, y = 38, z = 6); Smith et al., 2018). Contrary to our hypothesis, we found no differences in DLPFC activity for the contrasts erotic> neutral or neutral>erotic. Likewise, on the whole-brain level no voxels survived FWE (p < 0.05) correction. A t-map depicting all activations associated with erotic> neutral LL-reward processing is publicly available at OSF (https://osf.io/9uzm8/).

Next, we tested associations between neuronal cue-reactivity-responses within key dopaminergic (Nacc, VTA) and prefrontal (DLPFC) areas and subject-specific condition effects on behavior (SERO(k), SERO(ω), H6), capturing individual differences of cue effects. Associations were quantified via Bayesian correlations (using JASP) separately for peak voxels from preregistered subcortical (Nacc, VTA) and cortical (DLPFC) ROIs (see methods section for details). We found no evidence for a significant correlation between functional cue-reactivity towards erotic cues and change in discounting behavior (SERO(k), SERO(ω)). Contrarily, associations between cue-evoked changes in log(k) (SERO(k)) and subcortical ROI activity (Nacc, VTA) yielded highest BF01 (Nacc: 4.226; VTA: 4.663), indicating moderate evidence for a model assuming no association between dopaminergic brain activity and changes in steepness of TD. This model was approximately 4 to 4.5 times more likely than an alternative model given the data (see Table 4, upper panel; Supplementary Fig. S6, Supplementary materials).

However, we reasoned that characterizing cue-reactivity responses solely based on one peak-voxel could be problematic—potentially yielding biased estimates. Using mean voxel activity across the whole region of interest or respective sub-clusters might increase robustness (of approximations). In an exploratory approach, we therefore extracted average beta-values for the contrast erotic>neutral from above-mentioned VTA and DLPFC masks and the striatal cluster included in the reward mask. This analysis confirmed the non-significant association between SERO(k) and brain activity across all three ROIs. Simultaneously, previous numerically negative correlation between SERO(ω) and cue-reactivity within DLPFC and the ventral striatum (VS) was now even more pronounced, indicating that higher erotic cue-reactivity within these regions now appeared (significantly) associated with an increased preference for immediate (SS-) reward (see Table 4, lower panel; Supplementary Fig. S7, Supplementary materials). Although Bayes Factors (BF01) indicated at least moderate evidence for this association (DLPFC = 0.332: VS = 0.264), findings from this exploratory analysis should be interpreted with caution.

Table 4.

Correlation statistics quantifying associations between brain activity in key dopaminergic (VS/Nacc, VTA) and prefrontal (DLPFC) areas and subject-specific shift-parameters (SERO(k), SERO (ω)) at the subject level

(A) Peak-voxel approach
ROI peak voxel [x,y,z]Model parameterCorrelation coefficient (r)CIBF01
DLPFC [-30, 36, 4] SERO(k) -0.259 [-0.531, 0.085] 1.638 
SERO(ω) -0.239 [-0.516, 0.105] 1.932 
VS/Nacc [-10, 2, -10] SERO(k) 0.083 [-0.252, 0.393] 4.226 
SERO(ω) -0.242 [-0.518, 0.102] 1.881 
VTA [-10, 0, -12] SERO(k) -0.018 [-0.340, 0.309] 4.663 
SERO(ω) -0.240 [-0.517, 0.104] 1.911 
(A) Peak-voxel approach
ROI peak voxel [x,y,z]Model parameterCorrelation coefficient (r)CIBF01
DLPFC [-30, 36, 4] SERO(k) -0.259 [-0.531, 0.085] 1.638 
SERO(ω) -0.239 [-0.516, 0.105] 1.932 
VS/Nacc [-10, 2, -10] SERO(k) 0.083 [-0.252, 0.393] 4.226 
SERO(ω) -0.242 [-0.518, 0.102] 1.881 
VTA [-10, 0, -12] SERO(k) -0.018 [-0.340, 0.309] 4.663 
SERO(ω) -0.240 [-0.517, 0.104] 1.911 
(B) Mean cluster activity approach
ROIModel parameterCorrelation coefficient (r)CIBF01
DLPFC SERO(k) -0.146 [-0.445, 0.194] 3.378 
SERO(ω) -0.403 [-0.635, -0.068] 0.332 
VS/Nacc SERO(k) 0.061 [-0.272, 0.376] 4.432 
SERO(ω) -0.416 [-0.644, -0.083] 0.264 
VTA SERO(k) -0.117 [-0.422, 0.221] 3.801 
SERO(ω) -0.218 [-0.501, 0.125] 2.237 
(B) Mean cluster activity approach
ROIModel parameterCorrelation coefficient (r)CIBF01
DLPFC SERO(k) -0.146 [-0.445, 0.194] 3.378 
SERO(ω) -0.403 [-0.635, -0.068] 0.332 
VS/Nacc SERO(k) 0.061 [-0.272, 0.376] 4.432 
SERO(ω) -0.416 [-0.644, -0.083] 0.264 
VTA SERO(k) -0.117 [-0.422, 0.221] 3.801 
SERO(ω) -0.218 [-0.501, 0.125] 2.237 

Notes. ROI: Region of interest; CI: 95%-confidence interval; BF01, undirected Bayes factor in favor of null model; (A) Peak-Voxel approach: Beta-values were extracted from single peak-voxels within each ROI/sub-cluster; (B) Mean cluster activity approach: Average beta-values extracted from respective ROI/sub-cluster.

Here, we followed up on the literature on erotic cue exposure effects on TD (Kim & Zauberman, 2013; Mathar et al., 2022; Van den Bergh et al., 2007; Wilson & Daly, 2004). We expanded previous work by leveraging a preregistered fMRI approach to assess cue exposure-related activity changes in prefrontal and subcortical reward-related brain areas, and by linking these effects to TD. We first replicated a range of effects from the imaging literature on TD, including subjective value coding in vmPFC, striatum, and cingulate cortex (Peters & Büchel, 2009), and increased left DLPFC activity for LL vs. SS choices (Smith et al., 2018). We also replicated the finding of increased visual and subcortical reward-related responses for erotic vs. neutral cues (Gola et al., 2016; Markert et al., 2021; Stark et al., 2019; Wehrum-Osinsky et al., 2014). However, these effects did not lead to increased TD, neither overall, nor in preregistered between-subject correlations focusing on key dopaminergic (Nacc, VTA) and prefrontal regions (DLPFC).

4.1 Neuronal correlates of subjective value and choice

We preregistered two replications for neural effects underlying TD. As predicted, and in line with previous work, activity in vmPFC, striatum, and cingulate cortex tracked subjective discounted value (SV) of LL-options (Bartra et al., 2013; Clitero & Rangel, 2014; Lee et al., 2021; Levy & Glimcher, 2012; Peters & Büchel, 2009; Sescousse et al., 2013). This effect was generally observed in most subjects and similarly evident following neutral and erotic cue exposure (at least for VMPFC and striatum). We found no evidence for condition differences in any of the reported clusters. This observation is inconsistent with the idea that upregulated activity levels, for example, in (dopaminergic) striatal regions following erotic cue exposure might disrupt subjective value encoding, which, in turn, might promote impulsive responding (Miedl et al., 2014).

We then focused on (left) dorsolateral prefrontal cortex (DLPFC), a region frequently implicated in TD (Guo & Feng, 2015; Hare et al., 2014) and self-control more generally (Hare et al., 2009). As preregistered, we observed increased decision-related left DLPFC activity for LL vs. SS choices. This pattern was observed across both experimental conditions (neutral, erotic), with no evidence for condition differences. Elevated DLPFC activity during LL choices (Smith et al., 2018) might be due to increased cognitive control during LL selections. This is supported by (1) increased TD following DLPFC disruption (Figner et al., 2010) and (2) fatigue effects manifested in increased TD that were associated with reduced DLPFC excitability (Blain et al., 2016). Our preregistered analyses therefore confirm an involvement of DLPFC, specifically in LL choices.

On the whole-brain level, two additional areas, right insular cortex and a cerebellar cluster showed increased activity for LL vs. SS choices. Whereas cerebellum has been observed in a wide range of tasks involving cognitive control and inhibition processes (Bellebaum & Daum, 2007; D’Mello et al., 2020; Stoodley & Schmahmann, 2009), insula activity was found to be specifically activated in LL-reward decisions and to depict a critical brain area involved in delaying gratification (Wittmann et al., 2007). This also resonates with findings from previous studies, reporting changes in insular activation in people with deficient foresight (Tsurumi et al., 2014), or reduced bilateral insula volumes in pathological gamblers compared with healthy controls (Mohammadi et al., 2016).

4.2 Appetitive cues affect neuronal reward circuitry

Exposure to appetitive visual cues, presented in a blockwise manner, can increase impulsive choice in subsequent TD tasks (Kim & Zauberman, 2013; Van den Bergh et al., 2007; Wilson & Daly, 2004). We reasoned such cue effects on TD to be at least in part driven by upregulated reward circuitry (Li, 2008; Stark et al., 2019; Yeomans & Brace, 2015), an account not directly tested before. We focused on predefined ROIs previously associated with erotic stimulus processing (Stark et al., 2019) and presented participants with 40 intact experimental (neutral, erotic) and 20 scrambled control images. A comparison of intact vs. scrambled visual image processing confirmed highly plausible activation patterns, including large clusters across occipital cortices and the entire visual stream (Margalit et al., 2017).

Exposure to (intact) erotic compared to (intact) neutral stimuli revealed increased activity in widespread cortical and subcortical brain areas. Preregistered ROI analysis (FWESVC < 0.05) yielded strong posterior occipital and temporal clusters showing increased cortical responses to erotic vs. neutral cues. However, subcortical effects in reward-related circuits (e.g., ventral striatum, vmPFC) in our data in many cases fell just beyond the ROI mask constructed from the Stark et al. (2019) data, which mainly contained more dorsal striatal effects. We therefore followed up with an additional ROI analysis that used the same reward mask that we used (and preregistered) for the subjective value analysis (bilateral striatum, vmPFC, PCC, and ACC) based on two meta-analyses (Bartra et al., 2013; Clitero & Rangel, 2014). This confirmed significant bilateral activations in ventral striatum and VMPFC.

Our results are consistent with previously reported erotic cue responses across stimulus types (images or videos) and sexes (Ferretti et al., 2005; Mitricheva et al., 2019; Stark et al., 2019). While effects in parietal and occipital cortices might reflect attentional orientation towards erotic vs. neutral stimuli, striatal and anterior cingulate effects might reflect the intrinsic value of erotic vs. neutral cues (Georgiadis & Kringelbach, 2012; Kuehn & Gallinat, 2011; Poeppl et al., 2016; Stark et al., 2019; Stoléru et al., 2012).

Neuronal cue-reactivity responses in visual regions largely overlapped with our preregistered ROI (based on group-level results (t-map) for the contrast erotic>neutral provided by Stark and colleagues (2019)). However, subcortical effects (e.g., in striatal regions) fell beyond the effects in the Stark et al. mask, and were instead located more ventrally, overlapping with the reward mask provided by the Rangel lab that we also used for the subjective value effects. We applied a binarization threshold (t-value = 6) to the entire T-map provided by Stark et al., to extract target voxels showing increased responsiveness to visual erotic stimuli. However Stark et al. (2019) used a somewhat longer stimulus duration (8 s vs. 6 s) and presented participants with both pictures and video clips to compare erotic vs. neutral cue reactivity responses. In their statistical analysis, they did not differentiate between both stimulus types to increase generalizability. Stark et al. also used an expectation/anticipation phase prior to image/video onset which cued the nature of the upcoming stimulus (erotic or neutral). These differences might have contributed to the somewhat more ventral striatal effects that we observed compared to Stark et al. (2019).

4.3 No evidence for temporal discounting changes following blockwise exposure to appetitive cues

We used model-free and model-based approaches to quantify TD. Whereas model-free analyses focused on raw choice proportions, our best-fitting computational model allowed us to separate cue effects on steepness of TD (log(k)) from a delay-independent offset in the discounting curve. H1 was not confirmed—TD measures were not differentially affected by erotic cue exposure. Instead, Bayesian statistics suggested moderate evidence for the null model. This contrasts with earlier findings from similarly design studies, reporting increased TD following blockwise exposure to erotic visual stimuli (Kim & Zauberman, 2013; Van den Bergh et al., 2007; Wilson & Daly, 2004). On the other hand, it is consistent with a recent study from our group (Mathar et al., 2022) that used a similar cue exposure design. In Mathar et al. (2022), we used psychophysiology rather than fMRI. The lack of jitter between trial phases thus allowed us to use comprehensive modeling of RT distributions using diffusion models. Cue exposure led to a robust change in the starting point of the diffusion process towards SS options, but, as in the present study, did not reliably affect log(k).

Multiple reasons could account for this discrepancy. First, we used fMRI to assess neuronal correlates of cue-exposure and TD. The scanning environment, including loud noises, narrowness, and movement restrictions, itself might have acted as an external stressor, possibly attenuating behavioral effects. Indeed, neuroendocrine stress parameters (salivary alpha amylase, cortisol) increase at the beginning of an fMRI session (48; Lueken et al., 2012; Muehlhan et al., 2011), irrespective of stimulus presentation, and especially in scanner naïve participants (Tessner et al., 2006). Similarly, behavioral priming studies report smaller effects inside the scanner (Hommel et al., 2012), although such findings need replication. Both aspects might have contributed to an attenuation of behavioral cue effects in the current study. But, as noted above, in our earlier study (Mathar et al., 2022), cue exposure effects on log(k) were similarly largely absent, despite the lack of fMRI environment effects.

Further, our implementation of the cue-exposure phase differed slightly from previous approaches. Our cue phase was prolonged and included more experimental visual stimuli (n = 40) than earlier studies (max n = 25; Kim & Zauberman, 2013; Mathar et al., 2022; Van den Bergh et al., 2007; Wilson & Daly, 2004), although this should arguably have increased behavioral effects. We included additional design changes due to the fMRI design (scrambled control images, attention checks, jitter intervals between stimuli). These aspects could have attenuated the continuous blockwise character of cue-exposure, and concomitant rise in tonic dopaminergic tone, which might be required to affect TD (Pine et al., 2010). This resonates with previous studies showing that intermittent exposure to erotic cues is not sufficient to elevate TD (Knauth & Peters, 2022; Simmank et al., 2015).

Participants in our study passively viewed the presented images, rather than performing explicit arousal or valence ratings. However, explicit ratings might have induced deeper processing in earlier studies, which could have exhibited stronger effects on choice behavior (Van den Bergh et al., 2007; Wilson & Daly, 2004). Such attention effects can modulate behavioral (Gawronski et al., 2010) and neural effects (Anderson et al., 2003) of emotional stimuli. However, passive vs. active viewing of emotional images leads to similar physiological arousal effects (Snowden et al., 2016). Furthermore, our observation of increased activity in widespread cortical and subcortical networks in response to erotic vs. neutral control stimuli strongly argues against the idea that these cues were not adequately processed.

Although cue exposure was directly followed by the TD task, it could be argued that cue effects, and upregulated physiological reward circuit activity diminished rapidly over time, which might have also limited behavioral effects. However, we think two aspects speak against such idea. First, as already mentioned, our design largely mirrored previous experimental approaches which consistently detected cue effects on actual choice behavior (e.g., Wilson & Daly, 2004) or on more subtle bias parameters from computational models (Mathar et al., 2022). Moreover, a recent study from our lab (Knauth & Peters, 2022) also showed that trialwise emotional cue exposure (erotic, aversive, neutral visual cues) and associated upregulated arousal signals during the time of intertemporal choice were not sufficient to induce changes in TD.

Taken together, behavioral effects of erotic cue exposure on TD might not be as unequivocal as previously thought (Kim & Zauberman, 2013; Van den Bergh et al., 2007; Wilson & Daly, 2004). Recent studies utilizing trialwise erotic cue exposure failed to find changes in TD (Simmank et al., 2015). More critically, cue-evoked physiological arousal did not predict changes in discounting behavior (Knauth & Peters, 2022), casting doubt on the idea of an upregulated internal arousal state, that drives approach behavior towards immediate reward (Knauth & Peters, 2022). Also, recent blockwise studies question simple main effects of erotic cue exposure on impulsivity. Some studies find that cue exposure effects only occur under specific motivational or metabolic conditions (e.g., hunger; Otterbring & Sela, 2020). A noted above, we recently observed a robust change in the starting point of the evidence accumulation process towards SS rewards, which was revealed by extensive drift diffusion modeling of response time distributions (Mathar et al., 2022), whereas log(k) was largely unchanged. It is thus possible that the detection of cue exposure effects might require modeling of choices and response times. However, our fMRI-based experimental design separated option presentation responses, thereby precluding us from using comprehensive diffusion modeling of response times.

4.4 Elevated activity levels in dopaminergic brain areas cannot account for behavioral changes in temporal discounting

A major strength of the current study is its ability to empirically test the theoretical assumption of a cue-evoked upregulation in neural reward circuits, which might reflect increased dopaminergic activity (O’Sullivan et al., 2011; Redouté et al., 2000). Such effects might facilitate reward approach across domains (Van den Bergh et al., 2007). This idea is supported by pharmacological modulations of central dopamine transmission that affect TD (Arrondo et al., 2015; Cools, 2008; de Wit, 2002; Hamidovic et al., 2008; Kayser et al., 2012; Petzold et al., 2019; Pine et al., 2010; Wagner et al., 2020; Weber et al., 2016).

Here, we directly examined associations between neuronal cue-reactivity-responses towards erotic cues within key dopaminergic (Nacc, VTA) and prefrontal (DLPFC) areas and subject-specific condition effects on TD (SERO(k), SERO(ω)). However, if anything we found rather small evidence for our (preregistered) hypothesized association.

We first identified peak voxels from the group-level contrast erotic(intact)>neutral(intact) within all three above-mentioned ROIs and then correlated extracted beta-values with subject-specific shift parameters (SERO(ω), SERO(k)), as preregistered. This revealed no significant brain-behavior-associations. Based on feedback from a reviewer, we then ran an additional (exploratory) analysis, where we repeated above-mentioned analysis but now used average beta-values from the respective ROIs (DLPFC, VTA, ventral striatal sub-cluster within the preregistered reward mask). This confirmed non-significant association between SERO(k) and brain activity across ROIs. Further, we observed a small to moderate positive correlation between higher erotic cue-reactivity in VS and DLPFC and preference for immediate (SS-) rewards (corresponding to a more pronounced negative shift of the discounting curve offset). This association was numerically similar in the initial analysis, but now appeared more pronounced. However, these results should be cautiously interpreted for at least two reasons. First, while a positive correlation between myopic choice behavior and increased dopaminergic neurotransmission in the VS appears plausible, increased activity in DLPFC is harder to reconcile with this effect. DLPFC activity is often associated with cognitive control (Blain et al., 2016; Figner et al., 2010). Although cue-exposure phases did not entail any task requiring inhibition of prepotent impulsive responding, if anything, one would have expected decreased frontal activity to be related to SS-reward bias on the subject level. Further, the discrepancy between both approaches suggests that these brain-behavior correlations are susceptible to specific methodological details, which highlights that caution is warranted in their interpretation.

While a general dopaminergic impact on TD is well established, direction of reported effects in human studies appears somewhat inconsistent. Pine et al. (2010) observed increased TD following administration of the catecholamine precursor L-DOPA vs. placebo in a small sample of n = 14. In contrast, Petzold and colleagues (2019) observed no overall effect of L-DOPA administration on TD. Instead, effects depended on baseline impulsivity, supporting the view of an inverted-U-model of dopamine effects on cognitive control (Cools & D’Esposito, 2011). We recently observed (Wagner et al., 2020) reduced TD after a single low dose of the D2 receptor antagonist haloperidol, which is thought to increase striatal dopamine. The current study complements these previous findings and attempted to link (dopaminergic) reward system activity—which pharmacological approaches aim to evoke—to behavioral effects. However, upregulated reward system activity appears to be not sufficient to evoke behavioral cue effects (see previous section).

In the light of these contradictory findings, future studies should consider additional factors possibly involved in previously reported effects on TD. On the physiological level, arousal-related enhancement of noradrenaline (NE) release may be one possible mechanism (Ventura et al., 2008). Previous studies, indeed, found increased pupil dilation following highly arousing cues (Aston-Jones & Cohen, 2005; Finke et al., 2017; Kinner et al., 2017; Knauth & Peters, 2022; Murphy et al., 2014). NE agonists have been found to affect several forms of impulsivity (Robinson et al., 2008) and to directly increase the preference for LL rewards (Bizot et al., 2011). Further, Yohimbine, an α2-adrenergic receptor antagonist that increases NE release, reduced discounting in humans (Herman et al., 2019; Schippers et al., 2016). It appears highly plausible that (appetitive) cue-exposure will always affect both, noradrenergic and dopaminergic neurotransmitter systems.

4.5 Implications for addiction research

Appetitive cue effects on TD in healthy individuals might potentially also provide insights into mechanisms underlying maladaptive behaviors in clinical groups. Specifically, erotic cue effects on impulsive choice may partly resemble cue-reactivity processes in addiction. Drug cues trigger increased subjective, physiological, and neural responses which are associated with increased cravings, impulsive choice, and higher relapse rates (Preston et al., 2018; Vafaie & Kober, 2022). We initially hypothesized two potential routes through which erotic cues could have impacted TD. First, cue exposure could have interfered with (sub-) cortical value coding, thereby diminishing subjective perception of objective reward differences, promoting SS-option preferences. Similar findings have been reported in gambling disorder, when highly arousing gambling cues were presented (Miedl et al., 2014). Second, erotic cues could have impaired executive (cognitive) control over short-sighted choice behavior. Models such as the Interaction of Person-Affect-Cognition-Execution (I-PACE; Brand, Young, et al., 2016) model suggest an imbalance between executive control and reward networks in addicted individuals, which may be further exacerbated by cue exposure and contribute to disadvantageous decision-making. Our findings contribute to these considerations by demonstrating largely unaltered value coding and largely intact prefrontal executive control following exposure to non-drug-related erotic cues.

Notably, the analogy between erotic (appetitive) cue effects in healthy participants and addiction-related cue effects in addiction is complicated by several potential differences. Specifically, evoked cue-reactivity in the two cases might differ both quantitatively and qualitatively. While erotic cues in healthy participants might signal the upcoming occurrence of a pleasurable stimulus (learned via positive reinforcement), addiction-related cues might act via both positive and negative reinforcement routes. Over the course of addiction, cue exposure might be associated not only with rewarding (mesolimbic) effects but also with reductions of subjective craving and withdrawal symptoms. Similarly, recent evidence on the development of addiction-like, pathological use of sexual erotic material (SEM) also suggested that escalated impulsive or addictive behavior towards sexual material (compared to recreational use) might be fostered by both, negative and positive reinforcement processes (Brand et al., 2019; 15; Stark et al., 2022). Resonating with this idea, Stark et al. (2022) found that elevated stress (indicated by cortisol responses) enhanced the neural reward activation to erotic material, suggesting that the behavioral relevance of reward cues might be strongly affected by the specific expectation (e.g., pleasure vs. stress reduction). Such expectation effects likely differ substantially between healthy subjects and those suffering from addiction. Future studies on erotic cue effects might therefore assess the motivation for the use of erotic stimulus material, as this might moderate potential cue effects and might highlight driving factors of a dysfunctional cue-reactivity response.

4.6 Limitations

Our study has a few limitations that need to be acknowledged. First, we only tested male heterosexual participants. Men and women might differ in neuronal responses to affective stimulus material and emotional processing (Bradley et al., 2001; Lithari et al., 2010; Wrase et al., 2003), although a recent meta-analysis found at most negligible sex differences in neural correlates of sexual arousal (Mitricheva et al., 2019). However, to extend generalizability of results, future studies should include participants from both sexes and different sexual orientations.

Second, we did not include an image rating task, capturing arousal, valence, or related dimensions. Therefore, we cannot directly quantify subjective arousal-associated individual cues. However, fMRI revealed substantial differences in neural responses to erotic vs. neutral cues in plausible brain regions implicated in attention and reward. Further, a pilot study in an independent sample confirmed that the applied stimulus material clearly modulated subjective arousal. Still, future studies might complement fMRI and task-based measures with self-reported arousal.

Third, we did not include an additional aversive cue condition to control for unspecific arousal effects. Previously reported erotic cue effects on TD might be at least partly attributable to increased arousal, although aversive cue effects on TD likewise appear mixed (Cai et al., 2019; Guan et al., 2015; Knauth & Peters, 2022). Nonetheless, it would be interesting to assess whether neuronal measures of aversive cue processing are predictive for choices.

Lastly, on each trial, participants only viewed the LL option, whereas the SS reward was fixed and never shown on the screen, as done in numerous earlier studies (Kable & Glimcher, 2007; Peters & Büchel, 2009). However, additionally displaying the smaller sooner reward (separated by a further jitter interval) could be interesting for two reasons. First, although we showed that value computations for LL rewards were largely unaffected by cue condition, neuronal representations of an immediate reward might have been affected by cue condition. Second, elevated dopamine tone might foster approach behavior towards rewards that appear spatially near or available. Only presenting one of two possible choice options instead of both (Guan et al., 2015) might have biased or even compensated cue effects.

4.7 Conclusion

Previous studies indicated that highly appetitive stimuli might increase TD behavior (Kim & Zauberman, 2013; Otterbring & Sela, 2020; Wilson & Daly, 2004). Cue-reactivity in reward-related circuits was suspected as a potential mechanism underlying these effects (Van den Bergh et al., 2007). Here, we leveraged combined fMRI during both cue exposure and decision-making to link activity in reward circuits to changes in TD. We first replicated core neural effects underlying TD (value coding in vmPFC, striatum, and posterior cingulate, LL-choice-related activity in DLPFC) (Bartra et al., 2013; Clitero & Rangel, 2014; Kable & Glimcher, 2007; Peters & Büchel, 2009; Smith et al., 2018). Further, we confirmed increased (sub-) cortical processing during erotic vs. neutral cue exposure in core regions of the reward circuit. However, our preregistered hypothesis of increased TD following erotic cue exposure was not confirmed. This resonates with recent findings from our lab, where such effects were only observed for the bias parameter in the drift diffusion model, and not for choice behavior per se (Mathar et al., 2022). Importantly, and in contrast to our preregistered hypothesis, activity in key reward regions (Nacc, VTA) did not predict changes in behavior. Our results cast doubt on the hypothesis that upregulated activity in the reward system is sufficient to drive myopic approach behavior towards immediately available rewards.

T-maps of 2nd-level contrasts as well as STAN model code and raw behavioral data are available on the Open Science Framework (T-maps: https://osf.io/9uzm8/; Stan model code: Base-Model: osf.io/6uz8g; Offset-Model: osf.io/mgjx5; Raw data: https://osf.io/nxcas).

Kilian Knauth: Conceptualization, Methodology, Software, Validation, Formal analysis, Investigation, Data Curation, Writing—Original Draft, Writing—Review & Editing, and Visualization. David Mathar: Conceptualization, Methodology, Software, Validation, and Writing—Review & Editing. Bojana Kuzmanovic: Software, Resources, and Writing—Review & Editing. Marc Tittgemeyer: Resources, Writing—Review & Editing. Jan Peters: Conceptualization, Methodology, Validation, Resources, Writing—Review & Editing, and Supervision.

The authors declare no competing interests.

The authors are grateful to Elke Bannemer, Patrick Weyer, and Milena Marx for their tremendous support with recruitment and data collection. This work was supported by Deutsche Forschungsgemeinschaft (PE1627/5-1 to J.P.). Open Access funding was enabled and organized by Projekt DEAL.

Supplementary material for this article is available with the online version here: https://doi.org/10.1162/imag_a_00008.

Amlung
,
M.
,
Marsden
,
E.
,
Holshausen
,
K.
,
Morris
,
V.
,
Patel
,
H.
,
Vedelago
,
L.
,
Naish
,
K. R.
,
Reed
,
D. D.
, &
McCabe
,
R. E
. (
2019
).
Delay discounting as a transdiagnostic process in psychiatric disorders: A meta-analysis
.
JAMA Psychiatry
,
76
(
11
),
1176
. https://doi.org/10.1001/jamapsychiatry.2019.2102
Anderson
,
A. K.
,
Christoff
,
K.
,
Panitz
,
D.
, De
Rosa
,
E.
, &
Gabrieli
,
J. D. E.
(
2003
).
Neural correlates of the automatic processing of threat facial signals
.
The Journal of Neuroscience
,
23
(
13
),
5627
5633
. https://doi.org/10.1523/JNEUROSCI.23-13-05627.2003
Andersson
,
J. L. R.
,
Skare
,
S.
, &
Ashburner
,
J.
(
2003
).
How to correct susceptibility distortions in spin-echo echo-planar images: Application to diffusion tensor imaging
.
NeuroImage
,
20
(
2
),
870
888
. https://doi.org/10.1016/S1053-8119(03)00336-7
Arrondo
,
G.
,
Aznárez-Sanado
,
M.
,
Fernández-Seara
,
M. A.
,
Goñi
,
J.
,
Loayza
,
F. R.
,
Salamon-Klobut
,
E.
,
Heukamp
,
F. H.
, &
Pastor
,
M. A.
(
2015
).
Dopaminergic modulation of the trade-off between probability and time in economic decision-making
.
European Neuropsychopharmacology
,
25
(
6
),
817
827
. https://doi.org/10.1016/j.euroneuro.2015.02.011
Aston-Jones
,
G.
, &
Cohen
,
J. D.
(
2005
).
An integrative theory of locus coeruleus-norepinephrine function: Adaptive gain and optimal performance
.
Annual Review of Neuroscience
,
28
(
1
),
403
450
. https://doi.org/10.1146/annurev.neuro.28.061604.135709
Bartra
,
O.
,
McGuire
,
J. T.
, &
Kable
,
J. W.
(
2013
).
The valuation system: A coordinate-based meta-analysis of BOLD fMRI experiments examining neural correlates of subjective value
.
NeuroImage
,
76
,
412
427
. https://doi.org/10.1016/j.neuroimage.2013.02.063
Beard
,
E.
,
Dienes
,
Z.
,
Muirhead
,
C.
, &
West
,
R.
(
2016
).
Using Bayes factors for testing hypotheses about intervention effectiveness in addictions research
.
Addiction (Abingdon, England)
,
111
(
12
),
2230
2247
. https://doi.org/10.1111/add.13501
Bellebaum
,
C.
, &
Daum
,
I.
(
2007
).
Cerebellar involvement in executive control
.
The Cerebellum
,
6
(
3
),
184
192
. https://doi.org/10.1080/14734220601169707
Bickel
,
W. K.
,
Pitcock
,
J. A.
,
Yi
,
R.
, &
Angtuaco
,
E. J. C.
(
2009
).
Congruence of BOLD response across intertemporal choice conditions: Fictive and real money gains and losses
.
Journal of Neuroscience
,
29
(
27
),
8839
8846
. https://doi.org/10.1523/JNEUROSCI.5319-08.2009
Bizot
,
J.-C.
,
David
,
S.
, &
Trovero
,
F.
(
2011
).
Effects of atomoxetine, desipramine, d-amphetamine and methylphenidate on impulsivity in juvenile rats, measured in a T-maze procedure
.
Neuroscience Letters
,
489
(
1
),
20
24
. https://doi.org/10.1016/j.neulet.2010.11.058
Blain
,
B.
,
Hollard
,
G.
, &
Pessiglione
,
M.
(
2016
).
Neural mechanisms underlying the impact of daylong cognitive work on economic decisions
.
Proceedings of the National Academy of Sciences
,
113
(
25
),
6967
6972
. https://doi.org/10.1073/pnas.1520527113
Bradley
,
M. M.
,
Codispoti
,
M.
,
Cuthbert
,
B. N.
, &
Lang
,
P. J.
(
2001
).
Emotion and motivation I: Defensive and appetitive reactions in picture processing
.
Emotion (Washington, D.C.)
,
1
(
3
),
276
298
.
Brand
,
M.
(
2022
).
Can internet use become addictive?
Science
,
376
(
6595
),
798
799
. https://doi.org/10.1126/science.abn4189
Brand
,
M.
,
Snagowski
,
J.
,
Laier
,
C.
, &
Maderwald
,
S.
(
2016
).
Ventral striatum activity when watching preferred pornographic pictures is correlated with symptoms of Internet pornography addiction
.
NeuroImage
,
129
,
224
232
. https://doi.org/10.1016/j.neuroimage.2016.01.033
Brand
,
M.
,
Wegmann
,
E.
,
Stark
,
R.
,
Müller
,
A.
,
Wölfling
,
K.
,
Robbins
,
T. W.
, &
Potenza
,
M. N.
(
2019
).
The Interaction of Person-Affect-Cognition-Execution (I-PACE) model for addictive behaviors: Update, generalization to addictive behaviors beyond internet-use disorders, and specification of the process character of addictive behaviors
.
Neuroscience & Biobehavioral Reviews
,
104
,
1
10
. https://doi.org/10.1016/j.neubiorev.2019.06.032
Brand
,
M.
,
Young
,
K. S.
,
Laier
,
C.
,
Wölfling
,
K.
, &
Potenza
,
M. N.
(
2016
).
Integrating psychological and neurobiological considerations regarding the development and maintenance of specific internet-use disorders: An interaction of person-affect-cognition-execution (I-PACE) model
.
Neuroscience & Biobehavioral Reviews
,
71
,
252
266
. https://doi.org/10.1016/j.neubiorev.2016.08.033
Bruder
,
L. R.
,
Scharer
,
L.
, &
Peters
,
J.
(
2021
).
Reliability assessment of temporal discounting measures in virtual reality environments
.
Scientific Reports
,
11
(
1
),
7015
. https://doi.org/10.1038/s41598-021-86388-8
Bulley
,
A.
, &
Schacter
,
D. L.
(
2020
).
Deliberating trade-offs with the future
.
Nature Human Behaviour
,
4
(
3
),
238
247
. https://doi.org/10.1038/s41562-020-0834-9
Cai
,
X.
,
Weigl
,
M.
,
Liu
,
B.
,
Cheung
,
E. F. C.
,
Ding
,
J.
, &
Chan
,
R. C. K.
(
2019
).
Delay discounting and affective priming in individuals with negative schizotypy
.
Schizophrenia Research
,
210
,
180
187
. https://doi.org/10.1016/j.schres.2018.12.040
Carpenter
,
B.
,
Gelman
,
A.
,
Hoffman
,
M. D.
,
Lee
,
D.
,
Goodrich
,
B.
,
Betancourt
,
M.
,
Brubaker
,
M.
,
Guo
,
J.
,
Li
,
P.
, &
Riddell
,
A.
(
2017
).
Stan: A probabilistic programming language
.
Journal of Statistical Software
,
76
(
1
). https://doi.org/10.18637/jss.v076.i01
Chiou
,
W.-B.
,
Wu
,
W.-H.
, &
Cheng
,
Y.-Y.
(
2015
).
Beauty against tobacco control: Viewing photos of attractive women may induce a mating mindset, leading to reduced self-control over smoking among male smokers
.
Evolution and Human Behavior
,
36
(
3
),
218
223
. https://doi.org/10.1016/j.evolhumbehav.2014.11.006
Clitero
,
J. A.
, &
Rangel
,
A.
(
2014
).
Informatic parcellation of the network involved in the computation of subjective value
.
Social Cognitive and Affective Neuroscience
,
9
(
9
),
1289
1302
. https://doi.org/10.1093/scan/nst106
Cools
,
R.
(
2008
).
Role of dopamine in the motivational and cognitive control of behavior
.
The Neuroscientist
,
14
(
4
),
381
395
. https://doi.org/10.1177/1073858408317009
Cools
,
R.
, &
D’Esposito
,
M.
(
2011
).
Inverted-U–shaped dopamine actions on human working memory and cognitive control
.
Biological Psychiatry
,
69
(
12
),
e113
e125
. https://doi.org/10.1016/j.biopsych.2011.03.028
Courtney
,
K. E.
,
Ghahremani
,
D. G.
, &
Ray
,
L. A.
(
2015
).
The effect of alcohol priming on neural markers of alcohol cue-reactivity
.
The American Journal of Drug and Alcohol Abuse
,
41
(
4
),
300
308
. https://doi.org/10.3109/00952990.2015.1044608
D’Amour-Horvat
,
V.
, &
Leyton
,
M.
(
2014
).
Impulsive actions and choices in laboratory animals and humans: Effects of high vs. low dopamine states produced by systemic treatments given to neurologically intact subjects
.
Frontiers in Behavioral Neuroscience
,
8
,
432
. https://doi.org/10.3389/fnbeh.2014.00432
de
Wit
,
H.
(
2002
).
Acute administration of d-amphetamine decreases impulsivity in healthy volunteers
.
Neuropsychopharmacology
,
27
(
5
),
813
825
. https://doi.org/10.1016/S0893-133X(02)00343-3
Dixon
,
M. R.
,
Jacobs
,
E. A.
, &
Sanders
,
S.
(
2006
).
Contextual control of delay discounting by pathological gamblers
.
Journal of Applied Behavior Analysis
,
39
(
4
),
413
422
. https://doi.org/10.1901/jaba.2006.173-05
D’Mello
,
A. M.
,
Gabrieli
,
J. D. E.
, &
Nee
,
D. E.
(
2020
).
Evidence for hierarchical cognitive control in the human cerebellum
.
Current Biology
,
30
(
10
),
1881
1892.e3
. https://doi.org/10.1016/j.cub.2020.03.028
Enkavi
,
A. Z.
,
Eisenberg
,
I. W.
,
Bissett
,
P. G.
,
Mazza
,
G. L.
,
MacKinnon
,
D. P.
,
Marsch
,
L. A.
, &
Poldrack
,
R. A.
(
2019
).
Large-scale analysis of test–retest reliabilities of self-regulation measures
.
Proceedings of the National Academy of Sciences
,
116
(
12
),
5472
5477
. https://doi.org/10.1073/pnas.1818430116
Faul
,
F.
,
Erdfelder
,
E.
,
Lang
,
A.-G.
, &
Buchner
,
A.
(
2007
).
G*Power 3: A flexible statistical power analysis program for the social, behavioral, and biomedical sciences
.
Behavior Research Methods
,
39
(
2
),
175
191
. https://doi.org/10.3758/BF03193146
Ferretti
,
A.
,
Caulo
,
M.
,
Del Gratta
,
C.
,
Di Matteo
,
R.
,
Merla
,
A.
,
Montorsi
,
F.
,
Pizzella
,
V.
,
Pompa
,
P.
,
Rigatti
,
P.
,
Rossini
,
P. M.
,
Salonia
,
A.
,
Tartaro
,
A.
, &
Romani
,
G. L.
(
2005
).
Dynamics of male sexual arousal: Distinct components of brain activation revealed by fMRI
.
NeuroImage
,
26
(
4
),
1086
1096
. https://doi.org/10.1016/j.neuroimage.2005.03.025
Figner
,
B.
,
Knoch
,
D.
,
Johnson
,
E. J.
,
Krosch
,
A. R.
,
Lisanby
,
S. H.
,
Fehr
,
E.
, &
Weber
,
E. U.
(
2010
).
Lateral prefrontal cortex and self-control in intertemporal choice
.
Nature Neuroscience
,
13
(
5
),
538
539
. https://doi.org/10.1038/nn.2516
Finke
,
J. B.
,
Deuter
,
C. E.
,
Hengesch
,
X.
, &
Schächinger
,
H.
(
2017
).
The time course of pupil dilation evoked by visual sexual stimuli: Exploring the underlying ANS mechanisms
.
Psychophysiology
,
54
(
10
),
1444
1458
. https://doi.org/10.1111/psyp.12901
Foster
,
J. L.
,
Shipstead
,
Z.
,
Harrison
,
T. L.
,
Hicks
,
K. L.
,
Redick
,
T. S.
, &
Engle
,
R. W.
(
2015
).
Shortened complex span tasks can reliably measure working memory capacity
.
Memory & Cognition
,
43
(
2
),
226
236
. https://doi.org/10.3758/s13421-014-0461-7
Friston
,
K. J.
,
Williams
,
S.
,
Howard
,
R.
,
Frackowiak
,
R. S. J.
, &
Turner
,
R.
(
1996
).
Movement-related effects in fMRI time-series: Movement artifacts in fMRI
.
Magnetic Resonance in Medicine
,
35
(
3
),
346
355
. https://doi.org/10.1002/mrm.1910350312
Garofalo
,
S.
,
Degni
,
L. A. E.
,
Sellitto
,
M.
,
Braghittoni
,
D.
,
Starita
,
F.
,
Giovagnoli
,
S.
, di
Pellegrino
,
G.
, &
Benassi
,
M.
(
2022
).
Unifying evidence on delay discounting: Open task, analysis tutorial, and normative data from an Italian sample
.
International Journal of Environmental Research and Public Health
,
19
(
4
),
2049
. https://doi.org/10.3390/ijerph19042049
Gawronski
,
B.
,
Cunningham
,
W. A.
,
LeBel
,
E. P.
, &
Deutsch
,
R.
(
2010
).
Attentional influences on affective priming: Does categorisation influence spontaneous evaluations of multiply categorisable objects?
Cognition & Emotion
,
24
(
6
),
1008
1025
. https://doi.org/10.1080/02699930903112712
Gelman
,
A.
, &
Rubin
,
D. B.
(
1992
).
Inference from iterative simulation using multiple sequences
.
Statistical Science
,
7
(
4
). https://doi.org/10.1214/ss/1177011136
Georgiadis
,
J. R.
, &
Kringelbach
,
M. L.
(
2012
).
The human sexual response cycle: Brain imaging evidence linking sex to other pleasures
.
Progress in Neurobiology
,
98
(
1
),
49
81
. https://doi.org/10.1016/j.pneurobio.2012.05.004
Gola
,
M.
, &
Draps
,
M.
(
2018
).
Ventral striatal reactivity in compulsive sexual behaviors
.
Frontiers in Psychiatry
,
9
,
546
. https://doi.org/10.3389/fpsyt.2018.00546
Gola
,
M.
,
Wordecha
,
M.
,
Marchewka
,
A.
, &
Sescousse
,
G.
(
2016
).
Visual sexual stimuli—Cue or reward? A perspective for interpreting brain imaging findings on human sexual behaviors
.
Frontiers in Human Neuroscience
,
10
. https://doi.org/10.3389/fnhum.2016.00402
Gola
,
M.
,
Wordecha
,
M.
,
Sescousse
,
G.
,
Lew-Starowicz
,
M.
,
Kossowski
,
B.
,
Wypych
,
M.
,
Makeig
,
S.
,
Potenza
,
M. N.
, &
Marchewka
,
A.
(
2017
).
Can pornography be addictive? An fMRI study of men seeking treatment for problematic pornography use
.
Neuropsychopharmacology
,
42
(
10
),
2021
2031
. https://doi.org/10.1038/npp.2017.78
Golec
,
K.
,
Draps
,
M.
,
Stark
,
R.
,
Pluta
,
A.
, &
Gola
,
M.
(
2021
).
Aberrant orbitofrontal cortex reactivity to erotic cues in compulsive sexual behavior disorder
.
Journal of Behavioral Addictions
,
10
(
3
),
646
656
. https://doi.org/10.1556/2006.2021.00051
Gossett
,
E. W.
,
Wheelock
,
M. D.
,
Goodman
,
A. M.
,
Orem
,
T. R.
,
Harnett
,
N. G.
,
Wood
,
K. H.
,
Mrug
,
S.
,
Granger
,
D. A.
, &
Knight
,
D. C.
(
2018
).
Anticipatory stress associated with functional magnetic resonance imaging: Implications for psychosocial stress research
.
International Journal of Psychophysiology
,
125
,
35
41
. https://doi.org/10.1016/j.ijpsycho.2018.02.005
Green
,
L.
, &
Myerson
,
J.
(
2004
).
A discounting framework for choice with delayed and probabilistic rewards
.
Psychological Bulletin
,
130
(
5
),
769
792
. https://doi.org/10.1037/0033-2909.130.5.769
Green
,
L.
,
Myerson
,
J.
, &
Mcfadden
,
E.
(
1997
).
Rate of temporal discounting decreases with amount of reward
.
Memory & Cognition
,
25
(
5
),
715
723
. https://doi.org/10.3758/BF03211314
Guan
,
S.
,
Cheng
,
L.
,
Fan
,
Y.
, &
Li
,
X.
(
2015
).
Myopic decisions under negative emotions correlate with altered time perception
.
Frontiers in Psychology
,
6
. https://doi.org/10.3389/fpsyg.2015.00468
Guo
,
Y.
, &
Feng
,
T.
(
2015
).
The mediating role of LPFC–vmPFC functional connectivity in the relation between regulatory mode and delay discounting
.
Behavioural Brain Research
,
292
,
252
258
. https://doi.org/10.1016/j.bbr.2015.06.035
Hamidovic
,
A.
,
Kang
,
U. J.
, &
de Wit
,
H.
(
2008
).
Effects of low to moderate acute doses of pramipexole on impulsivity and cognition in healthy volunteers
.
Journal of Clinical Psychopharmacology
,
28
(
1
),
45
51
. https://doi.org/10.1097/jcp.0b013e3181602fab
Hare
,
T. A.
,
Camerer
,
C. F.
, &
Rangel
,
A.
(
2009
).
Self-control in decision-making involves modulation of the vmPFC valuation system
.
Science
,
324
(
5927
),
646
648
. https://dl.acm.org/doi/10.5555/2627435.2638586
Hare
,
T. A.
,
Hakimi
,
S.
, &
Rangel
,
A.
(
2014
).
Activity in dlPFC and its effective connectivity to vmPFC are associated with temporal discounting
.
Frontiers in Neuroscience
,
8
. https://doi.org/10.3389/fnins.2014.00050
Herman
,
A. M.
,
Critchley
,
H. D.
, &
Duka
,
T.
(
2019
).
The impact of Yohimbine-induced arousal on facets of behavioural impulsivity
.
Psychopharmacology
,
236
(
6
),
1783
1795
. https://doi.org/10.1007/s00213-018-5160-9
Hoffman
,
M. D.
, &
Gelman
,
A.
(
2014
).
The No-U-turn sampler: Adaptively setting path lengths in Hamiltonian Monte Carlo
.
Journal of Machine Learning Research
,
15
,
1593
1623
. https://dl.acm.org/doi/10.5555/2627435.2638586
Hommel
,
B.
,
Fischer
,
R.
,
Colzato
,
L. S.
,
van den Wildenberg
,
W. P. M.
, &
Cellini
,
C.
(
2012
).
The effect of fMRI (noise) on cognitive control
.
Journal of Experimental Psychology: Human Perception and Performance
,
38
(
2
),
290
301
. https://doi.org/10.1037/a0026353
JASP Team
. (
2022
). JASP (Version 0.14.3) [Computer software]. https://jasp-stats.org/faq/how-do-i-cite-jasp/
Jenkinson
,
M.
,
Beckmann
,
C. F.
,
Behrens
,
T. E. J.
,
Woolrich
,
M. W.
, &
Smith
,
S. M.
(
2012
).
FSL
.
NeuroImage
,
62
(
2
),
782
790
. https://doi.org/10.1016/j.neuroimage.2011.09.015
Johnson
,
M. W.
, &
Bickel
,
W. K.
(
2002
).
Within-subject comparison of real and hypothetical money rewards in delay discounting
.
Journal of the Experimental Analysis of Behavior
,
77
(
2
),
129
146
. https://doi.org/10.1901/jeab.2002.77-129
Kable
,
J. W.
, &
Glimcher
,
P. W.
(
2007
).
The neural correlates of subjective value during intertemporal choice
.
Nature Neuroscience
,
10
(
12
),
1625
1633
. https://doi.org/10.1038/nn2007
Kalenscher
,
T.
, &
Pennartz
,
C. M. A.
(
2008
).
Is a bird in the hand worth two in the future? The neuroeconomics of intertemporal decision-making
.
Progress in Neurobiology
,
84
(
3
),
284
315
. https://doi.org/10.1016/j.pneurobio.2007.11.004
Kayser
,
A. S.
,
Allen
,
D. C.
,
Navarro-Cebrian
,
A.
,
Mitchell
,
J. M.
, &
Fields
,
H. L.
(
2012
).
Dopamine, corticostriatal connectivity, and intertemporal choice
.
Journal of Neuroscience
,
32
(
27
),
9402
9409
. https://doi.org/10.1523/JNEUROSCI.1180-12.2012
Kim
,
B. K.
, &
Zauberman
,
G.
(
2013
).
Can Victoria’s secret change the future? A subjective time perception account of sexual-cue effects on impatience
.
Journal of Experimental Psychology: General
,
142
(
2
),
328
335
. https://doi.org/10.1037/a0028954
Kinner
,
V. L.
,
Kuchinke
,
L.
,
Dierolf
,
A. M.
,
Merz
,
C. J.
,
Otto
,
T.
, &
Wolf
,
O. T.
(
2017
).
What our eyes tell us about feelings: Tracking pupillary responses during emotion regulation processes: Pupillary responses during emotion regulation
.
Psychophysiology
,
54
(
4
),
508
518
. https://doi.org/10.1111/psyp.12816
Kirby
,
K. N.
(
2009
).
One-year temporal stability of delay-discount rates
.
Psychonomic Bulletin & Review
,
16
(
3
),
457
462
. https://doi.org/10.3758/PBR.16.3.457
Klein
,
S.
,
Kruse
,
O.
,
Markert
,
C.
, Tapia
León
,
I.
,
Strahler
,
J.
, &
Stark
,
R.
(
2020
).
Subjective reward value of visual sexual stimuli is coded in human striatum and orbitofrontal cortex
.
Behavioural Brain Research
,
393
,
112792
. https://doi.org/10.1016/j.bbr.2020.112792
Klucken
,
T.
,
Wehrum
,
S.
,
Schweckendiek
,
J.
,
Merz
,
C. J.
,
Hennig
,
J.
,
Vaitl
,
D.
, &
Stark
,
R.
(
2013
).
The 5-HTTLPR polymorphism is associated with altered hemodynamic responses during appetitive conditioning: Appetitive conditioning and the 5-HTTLPR genotype
.
Human Brain Mapping
,
34
(
10
),
2549
2560
. https://doi.org/10.1002/hbm.22085
Knauth
,
K.
, &
Peters
,
J.
(
2022
).
Trial‐wise exposure to visual emotional cues increases physiological arousal but not temporal discounting
.
Psychophysiology
,
59
(
4
). https://doi.org/10.1111/psyp.13996
Kruschke
,
J. K.
(
2010
).
Bayesian data analysis
.
Wiley Interdisciplinary Reviews: Cognitive Science
,
1
(
5
),
658
676
. https://doi.org/10.1002/wcs.72
Kühn
,
S.
, &
Gallinat
,
J.
(
2011
).
Common biology of craving across legal and illegal drugs—A quantitative meta-analysis of cue-reactivity brain response: Common biology of craving across legal and illegal drugs
.
European Journal of Neuroscience
,
33
(
7
),
1318
1326
. https://doi.org/10.1111/j.1460-9568.2010.07590.x
Lang
,
P. J.
,
Bradley
,
M. M.
, &
Cuthbert
,
B. N.
(
2008
).
International affective picture system (IAPS): Affective ratings of pictures and instruction manual (Technical Report A-8.)
.
University of Florida
.
Lee
,
S.
,
Yu
,
L. Q.
,
Lerman
,
C.
, &
Kable
,
J. W.
(
2021
).
Subjective value, not a gridlike code, describes neural activity in ventromedial prefrontal cortex during value-based decision-making
.
NeuroImage
,
237
,
118159
. https://doi.org/10.1016/j.neuroimage.2021.118159
Lempert
,
K. M.
, &
Phelps
,
E. A.
(
2016
).
The malleability of intertemporal choice
.
Trends in Cognitive Sciences
,
20
(
1
),
64
74
. https://doi.org/10.1016/j.tics.2015.09.005
Lempert
,
K. M.
,
Steinglass
,
J. E.
,
Pinto
,
A.
,
Kable
,
J. W.
, &
Simpson
,
H. B.
(
2019
).
Can delay discounting deliver on the promise of RDoC?
Psychological Medicine
,
49
(
2
),
190
199
. https://doi.org/10.1017/S0033291718001770
Levy
,
D. J.
, &
Glimcher
,
P. W.
(
2012
).
The root of all value: A neural common currency for choice
.
Current Opinion in Neurobiology
,
22
(
6
),
1027
1038
. https://doi.org/10.1016/j.conb.2012.06.001
Li
,
X.
(
2008
).
The effects of appetitive stimuli on out-of-domain consumption impatience
.
Journal of Consumer Research
,
34
(
5
),
649
656
. https://doi.org/10.1086/521900
Lithari
,
C.
,
Frantzidis
,
C. A.
,
Papadelis
,
C.
,
Vivas
,
A. B.
,
Klados
,
M. A.
,
Kourtidou-Papadeli
,
C.
,
Pappas
,
C.
,
Ioannides
,
A. A.
, &
Bamidis
,
P. D.
(
2010
).
Are females more responsive to emotional stimuli? A neurophysiological study across arousal and valence dimensions
.
Brain Topography
,
23
(
1
),
27
40
. https://doi.org/10.1007/s10548-009-0130-5
Lueken
,
U.
,
Muehlhan
,
M.
,
Evens
,
R.
,
Wittchen
,
H.-U.
, &
Kirschbaum
,
C.
(
2012
).
Within and between session changes in subjective and neuroendocrine stress parameters during magnetic resonance imaging: A controlled scanner training study
.
Psychoneuroendocrinology
,
37
(
8
),
1299
1308
. https://doi.org/10.1016/j.psyneuen.2012.01.003
Marchewka
,
A.
,
Żurawski
,
Ł.
,
Jednoróg
,
K.
, &
Grabowska
,
A.
(
2014
).
The Nencki Affective Picture System (NAPS): Introduction to a novel, standardized, wide-range, high-quality, realistic picture database
.
Behavior Research Methods
,
46
(
2
),
596
610
. https://doi.org/10.3758/s13428-013-0379-1
Margalit
,
E.
,
Biederman
,
I.
,
Tjan
,
B. S.
, &
Shah
,
M. P.
(
2017
).
What is actually affected by the scrambling of objects when localizing the lateral occipital complex?
Journal of Cognitive Neuroscience
,
29
(
9
),
1595
1604
. https://doi.org/10.1162/jocn_a_01144
Markert
,
C.
,
Klein
,
S.
,
Strahler
,
J.
,
Kruse
,
O.
, &
Stark
,
R.
(
2021
).
Sexual incentive delay in the scanner: Sexual cue and reward processing, and links to problematic porn consumption and sexual motivation
.
Journal of Behavioral Addictions
,
10
(
1
),
65
76
. https://doi.org/10.1556/2006.2021.00018
Marsman
,
M.
, &
Wagenmakers
,
E.-J.
(
2017
).
Three insights from a Bayesian interpretation of the one-sided P value
.
Educational and Psychological Measurement
,
77
(
3
),
529
539
. https://doi.org/10.1177/0013164416669201
Mathar
,
D.
,
Wiebe
,
A.
,
Tuzsus
,
D.
,
Knauth
,
K.
, &
Peters
,
J.
(
2022
).
Erotic cue exposure increases physiological arousal, biases choices towards immediate rewards and attenuates model-based reinforcement learning [Preprint]
.
Neuroscience
. https://doi.org/10.1101/2022.09.04.506507
Mazur
,
J. E.
(
1987
).
An adjusting procedure for studying delayed reinforcement
. In
Commons
M. L.
,
Mazur
J. E.
,
Nevin
J. A.
, &
Rachlin
H.
(Eds.),
The effect of delay and of intervening events on reinforcement value, quantitative analyses of behavior
(pp.
55
73
).
Erlbaum
.
Miedl
,
S. F.
,
Buchel
,
C.
, &
Peters
,
J.
(
2014
).
Cue-induced craving increases impulsivity via changes in striatal value signals in problem gamblers
.
Journal of Neuroscience
,
34
(
13
),
4750
4755
. https://doi.org/10.1523/JNEUROSCI.5020-13.2014
Mitricheva
,
E.
,
Kimura
,
R.
,
Logothetis
,
N. K.
, &
Noori
,
H. R.
(
2019
).
Neural substrates of sexual arousal are not sex dependent
.
Proceedings of the National Academy of Sciences
,
116
(
31
),
15671
15676
. https://doi.org/10.1073/pnas.1904975116
Mohammadi
,
B.
,
Hammer
,
A.
,
Miedl
,
S. F.
,
Wiswede
,
D.
,
Marco-Pallarés
,
J.
,
Herrmann
,
M.
, &
Münte
,
T. F.
(
2016
).
Intertemporal choice behavior is constrained by brain structure in healthy participants and pathological gamblers
.
Brain Structure and Function
,
221
(
6
),
3157
3170
. https://doi.org/10.1007/s00429-015-1093-9
Muehlhan
,
M.
,
Lueken
,
U.
,
Wittchen
,
H.-U.
, &
Kirschbaum
,
C.
(
2011
).
The scanner as a stressor: Evidence from subjective and neuroendocrine stress parameters in the time course of a functional magnetic resonance imaging session
.
International Journal of Psychophysiology
,
79
(
2
),
118
126
. https://doi.org/10.1016/j.ijpsycho.2010.09.009
Murphy
,
P. R.
,
O’Connell
,
R. G.
,
O’Sullivan
,
M.
,
Robertson
,
I. H.
, &
Balsters
,
J. H.
(
2014
).
Pupil diameter covaries with BOLD activity in human locus coeruleus
.
Human Brain Mapping
,
35
(
8
),
4140
4154
. https://doi.org/10.1002/hbm.22466
O’Sullivan
,
S. S.
,
Wu
,
K.
,
Politis
,
M.
,
Lawrence
,
A. D.
,
Evans
,
A. H.
,
Bose
,
S. K.
,
Djamshidian
,
A.
,
Lees
,
A. J.
, &
Piccini
,
P.
(
2011
).
Cue-induced striatal dopamine release in Parkinson’s disease-associated impulsive-compulsive behaviours
.
Brain
,
134
(
4
),
969
978
. https://doi.org/10.1093/brain/awr003
Otterbring
,
T.
, &
Sela
,
Y.
(
2020
).
Sexually arousing ads induce sex-specific financial decisions in hungry individuals
.
Personality and Individual Differences
,
152
,
109576
. https://doi.org/10.1016/j.paid.2019.109576
Peters
,
J.
, &
Buchel
,
C.
(
2009
).
Overlapping and distinct neural systems code for subjective value during intertemporal and risky decision making
.
Journal of Neuroscience
,
29
(
50
),
15727
15734
. https://doi.org/10.1523/JNEUROSCI.3489-09.2009
Peters
,
J.
, &
Büchel
,
C.
(
2011
).
The neural mechanisms of inter-temporal decision-making: Understanding variability
.
Trends in Cognitive Sciences
,
15
(
5
),
227
239
. https://doi.org/10.1016/j.tics.2011.03.002
Peters
,
J.
, &
D’Esposito
,
M.
(
2016
).
Effects of medial orbitofrontal cortex lesions on self-control in intertemporal choice
.
Current Biology
,
26
(
19
),
2625
2628
. https://doi.org/10.1016/j.cub.2016.07.035
Petzold
,
J.
,
Kienast
,
A.
,
Lee
,
Y.
,
Pooseh
,
S.
,
London
,
E. D.
,
Goschke
,
T.
, &
Smolka
,
M. N.
(
2019
).
Baseline impulsivity may moderate L-DOPA effects on value-based decision-making
.
Scientific Reports
,
9
(
1
),
5652
. https://doi.org/10.1038/s41598-019-42124-x
Pine
,
A.
,
Shiner
,
T.
,
Seymour
,
B.
, &
Dolan
,
R. J.
(
2010
).
Dopamine, time, and impulsivity in humans
.
Journal of Neuroscience
,
30
(
26
),
8888
8896
. https://doi.org/10.1523/JNEUROSCI.6028-09.2010
Poeppl
,
T. B.
,
Langguth
,
B.
,
Rupprecht
,
R.
,
Safron
,
A.
,
Bzdok
,
D.
,
Laird
,
A. R.
, &
Eickhoff
,
S. B.
(
2016
).
The neural basis of sex differences in sexual behavior: A quantitative meta-analysis
.
Frontiers in Neuroendocrinology
,
43
,
28
43
. https://doi.org/10.1016/j.yfrne.2016.10.001
Preston
,
K. L.
,
Kowalczyk
,
W. J.
,
Phillips
,
K. A.
,
Jobes
,
M. L.
,
Vahabzadeh
,
M.
,
Lin
,
J.-L.
,
Mezghanni
,
M.
, &
Epstein
,
D. H.
(
2018
).
Exacerbated craving in the presence of stress and drug cues in drug-dependent patients
.
Neuropsychopharmacology
,
43
(
4
),
859
867
. https://doi.org/10.1038/npp.2017.275
R Core Team
. (
2022
).
R: A language and environment for statistical computing
.
R Foundation for Statistical Computing
. https://www.R-project.org/
Redoute
,
J.
,
Stoleru
,
S.
,
Gregoire
,
M.-C.
,
Costes
,
N.
,
Cinotti
,
L.
,
Lavenne
,
F.
,
Le Bars
,
D.
,
Forest
,
M. G.
, &
Pujol
,
J.-F.
(
2000
).
Brain processing of visual sexual stimuli in human males
.
Human Brain Mapping
,
11
(
3
),
162
177
. https://doi.org/10.1002/1097-0193(200011)11:3<162::AID-HBM30>3.0.CO;2-A
Robinson
,
E. S. J.
,
Eagle
,
D. M.
,
Mar
,
A. C.
,
Bari
,
A.
,
Banerjee
,
G.
,
Jiang
,
X.
,
Dalley
,
J. W.
, &
Robbins
,
T. W.
(
2008
).
Similar effects of the selective noradrenaline reuptake inhibitor atomoxetine on three distinct forms of impulsivity in the rat
.
Neuropsychopharmacology
,
33
(
5
),
1028
1037
. https://doi.org/10.1038/sj.npp.1301487
Schippers
,
M. C.
,
Schetters
,
D.
,
De Vries
,
T. J.
, &
Pattij
,
T.
(
2016
).
Differential effects of the pharmacological stressor yohimbine on impulsive decision making and response inhibition
.
Psychopharmacology
,
233
(
14
),
2775
2785
. https://doi.org/10.1007/s00213-016-4337-3
Sescousse
,
G.
,
Caldú
,
X.
,
Segura
,
B.
, &
Dreher
,
J.-C.
(
2013
).
Processing of primary and secondary rewards: A quantitative meta-analysis and review of human functional neuroimaging studies
.
Neuroscience & Biobehavioral Reviews
,
37
(
4
),
681
696
. https://doi.org/10.1016/j.neubiorev.2013.02.002
Simmank
,
J.
,
Murawski
,
C.
,
Bode
,
S.
, &
Horstmann
,
A.
(
2015
).
Incidental rewarding cues influence economic decisions in people with obesity
.
Frontiers in Behavioral Neuroscience
,
9
. https://doi.org/10.3389/fnbeh.2015.00278
Smith
,
B. J.
,
Monterosso
,
J. R.
,
Wakslak
,
C. J.
,
Bechara
,
A.
, &
Read
,
S. J.
(
2018
).
A meta-analytical review of brain activity associated with intertemporal decisions: Evidence for an anterior-posterior tangibility axis
.
Neuroscience & Biobehavioral Reviews
,
86
,
85
98
. https://doi.org/10.1016/j.neubiorev.2018.01.005
Smith
,
S. M.
,
Jenkinson
,
M.
,
Woolrich
,
M. W.
,
Beckmann
,
C. F.
,
Behrens
,
T. E. J.
,
Johansen-Berg
,
H.
,
Bannister
,
P. R.
,
De Luca
,
M.
,
Drobnjak
,
I.
,
Flitney
,
D. E.
,
Niazy
,
R. K.
,
Saunders
,
J.
,
Vickers
,
J.
,
Zhang
,
Y.
, De
Stefano
,
N.
,
Brady
,
J. M.
, &
Matthews
,
P. M.
(
2004
).
Advances in functional and structural MR image analysis and implementation as FSL
.
NeuroImage
,
23
,
S208
S219
. https://doi.org/10.1016/j.neuroimage.2004.07.051
Snowden
,
R. J.
,
O’Farrell
,
K. R.
,
Burley
,
D.
,
Erichsen
,
J. T.
,
Newton
,
N. V.
, &
Gray
,
N. S.
(
2016
).
The pupil’s response to affective pictures: Role of image duration, habituation, and viewing mode
.
Psychophysiology
,
53
(
8
),
1217
1223
. https://doi.org/10.1111/psyp.12668
Soman
,
D.
,
Ainslie
,
G.
,
Frederick
,
S.
,
Li
,
X.
,
Lynch
,
J.
,
Moreau
,
P.
,
Mitchell
,
A.
,
Read
,
D.
,
Sawyer
,
A.
,
Trope
,
Y.
,
Wertenbroch
,
K.
, &
Zauberman
,
G.
(
2005
).
The psychology of intertemporal discounting: Why are distant events valued differently from proximal ones?
Marketing Letters
,
16
(
3–4
),
347
360
. https://doi.org/10.1007/s11002-005-5897-x
Stan Development Team
. (
2015
).
Stan modeling language users guide and reference manual (Version 2.9.0)
. https://mc-stan.org
Starcke
,
K.
,
Antons
,
S.
,
Trotzke
,
P.
, &
Brand
,
M.
(
2018
).
Cue-reactivity in behavioral addictions: A meta-analysis and methodological considerations
.
Journal of Behavioral Addictions
,
7
(
2
),
227
238
. https://doi.org/10.1556/2006.7.2018.39
Stark
,
R.
,
Klein
,
S.
,
Kruse
,
O.
,
Weygandt
,
M.
,
Leufgens
,
L. K.
,
Schweckendiek
,
J.
, &
Strahler
,
J.
(
2019
).
No sex difference found: Cues of sexual stimuli activate the reward system in both sexes
.
Neuroscience
,
416
,
63
73
. https://doi.org/10.1016/j.neuroscience.2019.07.049
Stark
,
R.
,
Markert
,
C.
,
Kruse
,
O.
,
Walter
,
B.
,
Strahler
,
J.
, &
Klein
,
S.
(
2022
).
Individual cortisol response to acute stress influences neural processing of sexual cues
.
Journal of Behavioral Addictions
,
11
(
2
),
506
519
. https://doi.org/10.1556/2006.2022.00037
Stark
,
R.
,
Schienle
,
A.
,
Girod
,
C.
,
Walter
,
B.
,
Kirsch
,
P.
,
Blecker
,
C.
,
Ott
,
U.
,
Schafer
,
A.
,
Sammer
,
G.
, &
Zimmermann
,
M.
(
2005
).
Erotic and disgust-inducing pictures—Differences in the hemodynamic responses of the brain
.
Biological Psychology
,
70
(
1
),
19
29
. https://doi.org/10.1016/j.biopsycho.2004.11.014
Stoléru
,
S.
,
Fonteille
,
V.
,
Cornélis
,
C.
,
Joyal
,
C.
, &
Moulier
,
V.
(
2012
).
Functional neuroimaging studies of sexual arousal and orgasm in healthy men and women: A review and meta-analysis
.
Neuroscience & Biobehavioral Reviews
,
36
(
6
),
1481
1509
. https://doi.org/10.1016/j.neubiorev.2012.03.006
Stoodley
,
C.
, &
Schmahmann
,
J.
(
2009
).
Functional topography in the human cerebellum: A meta-analysis of neuroimaging studies
.
NeuroImage
,
44
(
2
),
489
501
. https://doi.org/10.1016/j.neuroimage.2008.08.039
Tessner
,
K. D.
,
Walker
,
E. F.
,
Hochman
,
K.
, &
Hamann
,
S.
(
2006
).
Cortisol responses of healthy volunteers undergoing magnetic resonance imaging
.
Human Brain Mapping
,
27
(
11
),
889
895
. https://doi.org/10.1002/hbm.20229
Tsurumi
,
K.
,
Kawada
,
R.
,
Yokoyama
,
N.
,
Sugihara
,
G.
,
Sawamoto
,
N.
,
Aso
,
T.
,
Fukuyama
,
H.
,
Murai
,
T.
, &
Takahashi
,
H.
(
2014
).
Insular activation during reward anticipation reflects duration of illness in abstinent pathological gamblers
.
Frontiers in Psychology
,
5
. https://doi.org/10.3389/fpsyg.2014.01013
Vafaie
,
N.
, &
Kober
,
H.
(
2022
).
Association of drug cues and craving with drug use and relapse: A systematic review and meta-analysis
.
JAMA Psychiatry
,
79
(
7
),
641
. https://doi.org/10.1001/jamapsychiatry.2022.1240
Van den Bergh
,
B.
,
Dewitte
,
S.
, &
Warlop
,
L.
(
2007
).
Bikinis instigate generalized impatience in intertemporal choice
.
SSRN Electronic Journal
. https://doi.org/10.2139/ssrn.1094711
van den
Noort
,
M.
,
Bosch
,
P.
,
Haverkort
,
M.
, &
Hugdahl
,
K.
(
2008
).
A standard computerized version of the reading span test in different languages
.
European Journal of Psychological Assessment
,
24
(
1
),
35
42
. https://doi.org/10.1027/1015-5759.24.1.35
Vehtari
,
A.
,
Gelman
,
A.
, &
Gabry
,
J.
(
2017
).
Practical Bayesian model evaluation using leave-one-out cross-validation and WAIC
.
Statistics and Computing
,
27
(
5
),
1413
1432
. https://doi.org/10.1007/s11222-016-9696-4
Ventura
,
R.
,
Latagliata
,
E. C.
,
Morrone
,
C.
, La
Mela
,
I.
, &
Puglisi-Allegra
,
S.
(
2008
).
Prefrontal norepinephrine determines attribution of “high” motivational salience
.
PLoS One
,
3
(
8
),
e3044
. https://doi.org/10.1371/journal.pone.0003044
Volkow
,
N. D.
,
Fowler
,
J. S.
,
Wang
,
G.-J.
,
Telang
,
F.
,
Logan
,
J.
,
Jayne
,
M.
,
Ma
,
Y.
,
Pradhan
,
K.
,
Wong
,
C.
, &
Swanson
,
J. M.
(
2010
).
Cognitive control of drug craving inhibits brain reward regions in cocaine abusers
.
NeuroImage
,
49
(
3
),
2536
2543
. https://doi.org/10.1016/j.neuroimage.2009.10.088
Voon
,
V.
,
Mole
,
T. B.
,
Banca
,
P.
,
Porter
,
L.
,
Morris
,
L.
,
Mitchell
,
S.
,
Lapa
,
T. R.
,
Karr
,
J.
,
Harrison
,
N. A.
,
Potenza
,
M. N.
, &
Irvine
,
M.
(
2014
).
Neural correlates of sexual cue reactivity in individuals with and without compulsive sexual behaviours
.
PLoS One
,
9
(
7
),
e102419
. https://doi.org/10.1371/journal.pone.0102419
Wagner
,
B.
,
Clos
,
M.
,
Sommer
,
T.
, &
Peters
,
J.
(
2020
).
Dopaminergic modulation of human intertemporal choice: A diffusion model analysis using the D2-receptor antagonist haloperidol
.
The Journal of Neuroscience
,
40
(
41
),
7936
7948
. https://doi.org/10.1523/JNEUROSCI.0592-20.2020
Wagner
,
B.
,
Mathar
,
D.
, &
Peters
,
J.
(
2022
).
Gambling environment exposure increases temporal discounting but improves model-based control in regular slot-machine gamblers
.
Computational Psychiatry
,
6
(
1
),
142
165
. https://doi.org/10.5334/cpsy.84
Watanabe
,
S.
(
2010
).
Asymptotic equivalence of Bayes cross validation and widely applicable information criterion in singular learning theory
.
Journal of Machine Learning Research
,
11
,
3571
3594
. https://doi.org/10.48550/arXiv.1004.2316
Weber
,
S. C.
,
Beck-Schimmer
,
B.
,
Kajdi
,
M.-E.
,
Müller
,
D.
,
Tobler
,
P. N.
, &
Quednow
,
B. B.
(
2016
).
Dopamine D2/3- and μ-opioid receptor antagonists reduce cue-induced responding and reward impulsivity in humans
.
Translational Psychiatry
,
6
(
7
),
e850
e850
. https://doi.org/10.1038/tp.2016.113
Wechsler
,
D.
(
2008
).
Wechsler adult intelligence scale–fourth edition (WAIS–IV)
.
NCS Pearson
.
Wehrum‐Osinsky
,
S.
,
Klucken
,
T.
,
Kagerer
,
S.
,
Walter
,
B.
,
Hermann
,
A.
, &
Stark
,
R.
(
2014
).
At the second glance: Stability of neural responses toward visual sexual stimuli
.
The Journal of Sexual Medicine
,
11
(
11
),
2720
2737
. https://doi.org/10.1111/jsm.12653
Weinsztok
,
S.
,
Brassard
,
S.
,
Balodis
,
I.
,
Martin
,
L. E.
, &
Amlung
,
M.
(
2021
).
Delay discounting in established and proposed behavioral addictions: A systematic review and meta-analysis
.
Frontiers in Behavioral Neuroscience
,
15
,
786358
. https://doi.org/10.3389/fnbeh.2021.786358
Wessa
,
M.
,
Kanske
,
P.
,
Neumeister
,
P.
,
Bode
,
K.
,
Heissler
,
J.
, &
Schönfelder
,
S.
(
2010
).
EmoPics: Subjektive und psychophysiologische Evaluationen neuen Bildmaterials für die klinisch-bio-psychologische Forschung
.
Zeitschrift für Klinischer Psychologie und Psychotherapie
, Supplement,
1/11
,
77
.
Wilson
,
M.
, &
Daly
,
M.
(
2004
).
Do pretty women inspire men to discount the future?
Proceedings of the Royal Society of London. Series B: Biological Sciences
,
271
(
suppl_4
). https://doi.org/10.1098/rsbl.2003.0134
Wittmann
,
M.
,
Leland
,
D. S.
, &
Paulus
,
M. P.
(
2007
).
Time and decision making: Differential contribution of the posterior insular cortex and the striatum during a delay discounting task
.
Experimental Brain Research
,
179
(
4
),
643
653
. https://doi.org/10.1007/s00221-006-0822-y
Wrase
,
J.
,
Klein
,
S.
,
Gruesser
,
S. M.
,
Hermann
,
D.
,
Flor
,
H.
,
Mann
,
K.
,
Braus
,
D. F.
, &
Heinz
,
A.
(
2003
).
Gender differences in the processing of standardized emotional visual stimuli in humans: A functional magnetic resonance imaging study
.
Neuroscience Letters
,
348
(
1
),
41
45
. https://doi.org/10.1016/S0304-3940(03)00565-2
Yeomans
,
M. R.
, &
Brace
,
A.
(
2015
).
Cued to act on impulse: More impulsive choice and risky decision making by women susceptible to overeating after exposure to food stimuli
.
PLoS One
,
10
(
9
),
e0137626
. https://doi.org/10.1371/journal.pone.0137626
Zhou
,
X.
,
Zimmermann
,
K.
,
Xin
,
F.
,
Zhao
,
W.
,
Derckx
,
R. T.
,
Sassmannshausen
,
A.
,
Scheele
,
D.
,
Hurlemann
,
R.
,
Weber
,
B.
,
Kendrick
,
K. M.
, &
Becker
,
B.
(
2019
).
Cue reactivity in the ventral striatum characterizes heavy cannabis use, whereas reactivity in the dorsal striatum mediates dependent use
.
Biological Psychiatry: Cognitive Neuroscience and Neuroimaging
,
4
(
8
),
751
762
. https://doi.org/10.1016/j.bpsc.2019.04.006

Author notes

Note on the article history: This article was received originally at Neuroimage 14 December 2022 and transferred to Imaging Neuroscience 12 May 2023.

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