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 spiking$1111$ 200 −70 −58 90 −40
$VR$ [mV]$1111111$ $VT$ [mV] $δgA$ [nS] $g¯A$ [nS] $gL$ [nS] $τA$ [ms]
Adaptive spiking$1111$ −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 spiking$1111$ 200 −70 −58 90 −40
$VR$ [mV]$1111111$ $VT$ [mV] $δgA$ [nS] $g¯A$ [nS] $gL$ [nS] $τA$ [ms]
Adaptive spiking$1111$ −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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