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The CAdEx model is able to reproduce a large repertoire of intrinsic electrophysiological firing patterns. In this section, we detail the dynamics of firing patterns in CAdEx, reproducing those found in AdEx. In order to facilitate the use of this model to reproduce specific behaviors, we describe which parameters influence specific firing patterns. The initial values of the two variables in the simulations were V(0)=-60mV for the membrane potential and gA(0)=0nS for the adaptation, except when ΔA<0 when gA is initialized at gA(-60mV). For the sets of parameters used in this section, the system does not have fixed points. Therefore, independent of the starting point location, the system converges to the same steady-state firing. However behaviors in the transient regime may change, which is crucial for spike frequency adaptation. The parameters for each pattern of Figure 9 are given in Table 1.

Table 1:
Parameters of the CAdEx Model for the Firing Patterns Shown in Figure 9.
Cm [pF]EA [mV]EL [mV]Is [pA]VA [mV]ΔA [mV]
Adaptive spiking 200 −70 −60 200 −50 
Tonic spiking 200 −70 −70 192 −45 
Bursting 200 −60 −58 150 −45 
Delayed bursting 200 −70 −60 100 −45 
Accelerated spiking 200 −70 −60 130 −60 −5 
Chaotic-like spiking1111 200 −70 −58 90 −40 
 VR [mV]1111111 VT [mV] δgA [nS] g¯A [nS] gL [nS] τA [ms] 
Adaptive spiking1111 −55 −50 10 10 200 
Tonic spiking −56 −50 10 40 
Bursting −46 −50 10 10 200 
Delayed bursting −46 −50 12 100 
Accelerated spiking −58 −48 10 300 
Chaotic-like spiking −47 −50 10 10 25 
Cm [pF]EA [mV]EL [mV]Is [pA]VA [mV]ΔA [mV]
Adaptive spiking 200 −70 −60 200 −50 
Tonic spiking 200 −70 −70 192 −45 
Bursting 200 −60 −58 150 −45 
Delayed bursting 200 −70 −60 100 −45 
Accelerated spiking 200 −70 −60 130 −60 −5 
Chaotic-like spiking1111 200 −70 −58 90 −40 
 VR [mV]1111111 VT [mV] δgA [nS] g¯A [nS] gL [nS] τA [ms] 
Adaptive spiking1111 −55 −50 10 10 200 
Tonic spiking −56 −50 10 40 
Bursting −46 −50 10 10 200 
Delayed bursting −46 −50 12 100 
Accelerated spiking −58 −48 10 300 
Chaotic-like spiking −47 −50 10 10 25 

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