traub_cond_multisyn

traub_cond_multisyn - Traub model according to Borgers 2017

Description

Reduced Traub-Miles Model of a Pyramidal Neuron in Rat Hippocampus [1]. parameters got from reference [2] chapter 5.

AMPA, NMDA, GABA_A, and GABA_B conductance-based synapses with beta-function (difference of two exponentials) time course corresponding to “hill_tononi” model.

References

[1]

18. 4. Traub and R. Miles, Neuronal Networks of the Hippocampus,Cam- bridge University Press, Cambridge, UK, 1991.

[2]

Borgers, C., 2017. An introduction to modeling neuronal dynamics (Vol. 66). Cham: Springer.

See also

hh_cond_exp_traub

Parameters

Name	Physical unit	Default value	Description
t_ref	ms	2.0ms	Refractory period 2.0
g_Na	nS	10000.0nS	Sodium peak conductance
g_K	nS	8000.0nS	Potassium peak conductance
g_L	nS	10nS	Leak conductance
C_m	pF	100.0pF	Membrane Capacitance
E_Na	mV	50.0mV	Sodium reversal potential
E_K	mV	-100.0mV	Potassium reversal potentia
E_L	mV	-67.0mV	Leak reversal Potential (aka resting potential)
V_Tr	mV	-20.0mV	Spike Threshold
AMPA_g_peak	nS	0.1nS	Parameters for synapse of type AMPA, GABA_A, GABA_B and NMDApeak conductance
AMPA_E_rev	mV	0.0mV	reversal potential
tau_AMPA_1	ms	0.5ms	rise time
tau_AMPA_2	ms	2.4ms	decay time, Tau_1 < Tau_2
NMDA_g_peak	nS	0.075nS	peak conductance
tau_NMDA_1	ms	4.0ms	rise time
tau_NMDA_2	ms	40.0ms	decay time, Tau_1 < Tau_2
NMDA_E_rev	mV	0.0mV	reversal potential
NMDA_Vact	mV	-58.0mV	inactive for V << Vact, inflection of sigmoid
NMDA_Sact	mV	2.5mV	scale of inactivation
GABA_A_g_peak	nS	0.33nS	peak conductance
tau_GABAA_1	ms	1.0ms	rise time
tau_GABAA_2	ms	7.0ms	decay time, Tau_1 < Tau_2
GABA_A_E_rev	mV	-70.0mV	reversal potential
GABA_B_g_peak	nS	0.0132nS	peak conductance
tau_GABAB_1	ms	60.0ms	rise time
tau_GABAB_2	ms	200.0ms	decay time, Tau_1 < Tau_2
GABA_B_E_rev	mV	-90.0mV	reversal potential for intrinsic current
I_e	pA	0pA	constant external input current

State variables

Name	Physical unit	Default value	Description
r	integer	0	number of steps in the current refractory phase
V_m	mV	-70.0mV	Membrane potential
Act_m	real	alpha_m_init / (alpha_m_init + beta_m_init)	Activation variable m for Na
Inact_h	real	alpha_h_init / (alpha_h_init + beta_h_init)	Inactivation variable h for Na
Act_n	real	alpha_n_init / (alpha_n_init + beta_n_init)	Activation variable n for K
g_AMPA	real	0
g_NMDA	real	0
g_GABAA	real	0
g_GABAB	real	0
g_AMPA$	real	AMPAInitialValue
g_NMDA$	real	NMDAInitialValue
g_GABAA$	real	GABA_AInitialValue
g_GABAB$	real	GABA_BInitialValue

Equations

\[\frac{ dV_{m} } { dt }= \frac 1 { C_{m} } \left( { (-(I_{Na} + I_{K} + I_{L}) + I_{e} + I_{stim} + I_{syn}) } \right)\]

\[\frac{ dAct_{n} } { dt }= \frac 1 { \mathrm{ms} } \left( { (\alpha_{n} \cdot (1 - Act_{n}) - \beta_{n} \cdot Act_{n}) } \right)\]

\[\frac{ dAct_{m} } { dt }= \frac 1 { \mathrm{ms} } \left( { (\alpha_{m} \cdot (1 - Act_{m}) - \beta_{m} \cdot Act_{m}) } \right)\]

\[\frac{ dInact_{h} } { dt }= \frac 1 { \mathrm{ms} } \left( { (\alpha_{h} \cdot (1 - Inact_{h}) - \beta_{h} \cdot Inact_{h}) } \right)\]

Source code

The model source code can be found in the NESTML models repository here: traub_cond_multisyn.

Characterisation