Gap-junction coupled network activity depends on coupled dendrites diameter (Gansert et al. 2007)

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Accession:112633
"... We have previously shown that the amplitude of electrical signals propagating across gap-junctionally coupled passive cables is maximized at a unique diameter. This suggests that threshold-dependent signals may propagate through gap junctions for a finite range of diameters around this optimal value. Here we examine the diameter dependence of action potential propagation across model networks of dendro-dendritically coupled neurons. The neurons in these models have passive soma and dendrites and an action potential-generating axon. We show that propagation of action potentials across gap junctions occurs only over a finite range of dendritic diameters and that propagation delay depends on this diameter. ...". See paper for more and details.
Reference:
1 . Gansert J, Golowasch J, Nadim F (2007) Sustained rhythmic activity in gap-junctionally coupled networks of model neurons depends on the diameter of coupled dendrites. J Neurophysiol 98:3450-60 [PubMed]
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Model Information (Click on a link to find other models with that property)
Model Type: Realistic Network; Neuron or other electrically excitable cell;
Brain Region(s)/Organism:
Cell Type(s):
Channel(s): I Na,t; I K;
Gap Junctions: Gap junctions;
Receptor(s):
Gene(s):
Transmitter(s):
Simulation Environment: Network;
Model Concept(s): Activity Patterns; Temporal Pattern Generation; Spatio-temporal Activity Patterns; Simplified Models;
Implementer(s):
Search NeuronDB for information about:  I Na,t; I K;
#######################################
# Juliane Gansert 			  #
# Last Modified: April 3rd, 2008	  #	
# To be run with the software NETWORK #
#######################################


# Assignment of the parameters and equations
# for the compartments defined in TwoCells.cfg
# This is for the case that the diamter of the 
# dendrites is d=5um. 

th__=2

#define Kd_mpower 4
Kd_minf=1/(1+exp(-(x+53+th__)/16))
Kd_mtau=1+6/(1+exp((x+53+th__)/16))

#define Na_mpower 3
#define Na_hpower 1
Na_minf=1/(1+exp(-(x+40+th__)/9))
Na_hinf=1/(1+exp((x+62+th__)/10))
Na_htau=1+11/(1+exp((x+62+th__)/10))

#################################################

#	A lambda  = 3162.28	um
#	6 comps of length 100.00 um (total 600.00 um)
#	Comp taum = 40.00		msec
#	Comp area = 3141.59	um2
#	Comp ga   = 785.398	nS
#	Comp gm   = 0.785		nS
#	Comp cm   = 31.416	pF

#################################################

A0_Cm=31.415926		# pF
A0_Ga=785.398163		# nS
A0_L_Gmax=0.785398	# nS
A0_L_Erev=-54.300000	# mV
A0_Na_Gmax=471.238897	# nS
A0_Na_Erev=50		# mV
A0_Na_mpower=Na_mpower
A0_Na_minf=Na_minf(x)
A0_Na_hpower=Na_hpower
A0_Na_hinf=Na_hinf(x)
A0_Na_htau=Na_htau(x)
A0_Kd_Gmax=94.247779	# nS
A0_Kd_Erev=-77.5		# mV
A0_Kd_mpower=Kd_mpower
A0_Kd_minf=Kd_minf(x)
A0_Kd_mtau=Kd_mtau(x)

A1_Cm=31.415926		# pF
A1_Ga=785.398163		# nS
A1_L_Gmax=0.785398	# nS
A1_L_Erev=-54.300000	# mV
A1_Na_Gmax=471.238897	# nS
A1_Na_Erev=50		# mV
A1_Na_mpower=Na_mpower
A1_Na_minf=Na_minf(x)
A1_Na_hpower=Na_hpower
A1_Na_hinf=Na_hinf(x)
A1_Na_htau=Na_htau(x)
A1_Kd_Gmax=94.247779	# nS
A1_Kd_Erev=-77.5		# mV
A1_Kd_mpower=Kd_mpower
A1_Kd_minf=Kd_minf(x)
A1_Kd_mtau=Kd_mtau(x)

A2_Cm=31.415926		# pF
A2_Ga=785.398163		# nS
A2_L_Gmax=0.785398	# nS
A2_L_Erev=-54.300000	# mV
A2_Na_Gmax=471.238897	# nS
A2_Na_Erev=50		# mV
A2_Na_mpower=Na_mpower
A2_Na_minf=Na_minf(x)
A2_Na_hpower=Na_hpower
A2_Na_hinf=Na_hinf(x)
A2_Na_htau=Na_htau(x)
A2_Kd_Gmax=94.247779	# nS
A2_Kd_Erev=-77.5		# mV
A2_Kd_mpower=Kd_mpower
A2_Kd_minf=Kd_minf(x)
A2_Kd_mtau=Kd_mtau(x)

A3_Cm=31.415926		# pF
A3_Ga=785.398163		# nS
A3_L_Gmax=0.785398	# nS
A3_L_Erev=-54.300000	# mV
A3_Na_Gmax=471.238897	# nS
A3_Na_Erev=50		# mV
A3_Na_mpower=Na_mpower
A3_Na_minf=Na_minf(x)
A3_Na_hpower=Na_hpower
A3_Na_hinf=Na_hinf(x)
A3_Na_htau=Na_htau(x)
A3_Kd_Gmax=94.247779	# nS
A3_Kd_Erev=-77.5		# mV
A3_Kd_mpower=Kd_mpower
A3_Kd_minf=Kd_minf(x)
A3_Kd_mtau=Kd_mtau(x)

A4_Cm=31.415926		# pF
A4_Ga=785.398163		# nS
A4_L_Gmax=0.785398	# nS
A4_L_Erev=-54.300000	# mV
A4_Na_Gmax=471.238897	# nS
A4_Na_Erev=50		# mV
A4_Na_mpower=Na_mpower
A4_Na_minf=Na_minf(x)
A4_Na_hpower=Na_hpower
A4_Na_hinf=Na_hinf(x)
A4_Na_htau=Na_htau(x)
A4_Kd_Gmax=94.247779	# nS
A4_Kd_Erev=-77.5		# mV
A4_Kd_mpower=Kd_mpower
A4_Kd_minf=Kd_minf(x)
A4_Kd_mtau=Kd_mtau(x)

A5_Cm=31.415926		# pF
A5_Ga=785.398163		# nS
A5_L_Gmax=0.785398	# nS
A5_L_Erev=-54.300000	# mV
A5_Na_Gmax=471.238897	# nS
A5_Na_Erev=50		# mV
A5_Na_mpower=Na_mpower
A5_Na_minf=Na_minf(x)
A5_Na_hpower=Na_hpower
A5_Na_hinf=Na_hinf(x)
A5_Na_htau=Na_htau(x)
A5_Kd_Gmax=94.247779	# nS
A5_Kd_Erev=-77.5		# mV
A5_Kd_mpower=Kd_mpower
A5_Kd_minf=Kd_minf(x)
A5_Kd_mtau=Kd_mtau(x)

#################################################

#	PA lambda  = 3162.28	um
#	6 comps of length 100.00 um (total 600.00 um)
#	Comp taum = 40.00		msec
#	Comp area = 3141.59	um2
#	Comp ga   = 785.398	nS
#	Comp gm   = 0.785		nS
#	Comp cm   = 31.416	pF

#################################################

PA0_Cm=31.415926		# pF
PA0_Ga=785.398163		# nS
PA0_L_Gmax=0.785398	# nS
PA0_L_Erev=-54.300000	# mV
PA0_Na_Gmax=471.238897	# nS
PA0_Na_Erev=50		# mV
PA0_Na_mpower=Na_mpower
PA0_Na_minf=Na_minf(x)
PA0_Na_hpower=Na_hpower
PA0_Na_hinf=Na_hinf(x)
PA0_Na_htau=Na_htau(x)
PA0_Kd_Gmax=94.247779	# nS
PA0_Kd_Erev=-77.5		# mV
PA0_Kd_mpower=Kd_mpower
PA0_Kd_minf=Kd_minf(x)
PA0_Kd_mtau=Kd_mtau(x)

PA1_Cm=31.415926		# pF
PA1_Ga=785.398163		# nS
PA1_L_Gmax=0.785398	# nS
PA1_L_Erev=-54.300000	# mV
PA1_Na_Gmax=471.238897	# nS
PA1_Na_Erev=50		# mV
PA1_Na_mpower=Na_mpower
PA1_Na_minf=Na_minf(x)
PA1_Na_hpower=Na_hpower
PA1_Na_hinf=Na_hinf(x)
PA1_Na_htau=Na_htau(x)
PA1_Kd_Gmax=94.247779	# nS
PA1_Kd_Erev=-77.5		# mV
PA1_Kd_mpower=Kd_mpower
PA1_Kd_minf=Kd_minf(x)
PA1_Kd_mtau=Kd_mtau(x)

PA2_Cm=31.415926		# pF
PA2_Ga=785.398163		# nS
PA2_L_Gmax=0.785398	# nS
PA2_L_Erev=-54.300000	# mV
PA2_Na_Gmax=471.238897	# nS
PA2_Na_Erev=50		# mV
PA2_Na_mpower=Na_mpower
PA2_Na_minf=Na_minf(x)
PA2_Na_hpower=Na_hpower
PA2_Na_hinf=Na_hinf(x)
PA2_Na_htau=Na_htau(x)
PA2_Kd_Gmax=94.247779	# nS
PA2_Kd_Erev=-77.5		# mV
PA2_Kd_mpower=Kd_mpower
PA2_Kd_minf=Kd_minf(x)
PA2_Kd_mtau=Kd_mtau(x)

PA3_Cm=31.415926		# pF
PA3_Ga=785.398163		# nS
PA3_L_Gmax=0.785398	# nS
PA3_L_Erev=-54.300000	# mV
PA3_Na_Gmax=471.238897	# nS
PA3_Na_Erev=50		# mV
PA3_Na_mpower=Na_mpower
PA3_Na_minf=Na_minf(x)
PA3_Na_hpower=Na_hpower
PA3_Na_hinf=Na_hinf(x)
PA3_Na_htau=Na_htau(x)
PA3_Kd_Gmax=94.247779	# nS
PA3_Kd_Erev=-77.5		# mV
PA3_Kd_mpower=Kd_mpower
PA3_Kd_minf=Kd_minf(x)
PA3_Kd_mtau=Kd_mtau(x)

PA4_Cm=31.415926		# pF
PA4_Ga=785.398163		# nS
PA4_L_Gmax=0.785398	# nS
PA4_L_Erev=-54.300000	# mV
PA4_Na_Gmax=471.238897	# nS
PA4_Na_Erev=50		# mV
PA4_Na_mpower=Na_mpower
PA4_Na_minf=Na_minf(x)
PA4_Na_hpower=Na_hpower
PA4_Na_hinf=Na_hinf(x)
PA4_Na_htau=Na_htau(x)
PA4_Kd_Gmax=94.247779	# nS
PA4_Kd_Erev=-77.5		# mV
PA4_Kd_mpower=Kd_mpower
PA4_Kd_minf=Kd_minf(x)
PA4_Kd_mtau=Kd_mtau(x)

PA5_Cm=31.415926		# pF
PA5_Ga=785.398163		# nS
PA5_L_Gmax=0.785398	# nS
PA5_L_Erev=-54.300000	# mV
PA5_Na_Gmax=471.238897	# nS
PA5_Na_Erev=50		# mV
PA5_Na_mpower=Na_mpower
PA5_Na_minf=Na_minf(x)
PA5_Na_hpower=Na_hpower
PA5_Na_hinf=Na_hinf(x)
PA5_Na_htau=Na_htau(x)
PA5_Kd_Gmax=94.247779	# nS
PA5_Kd_Erev=-77.5		# mV
PA5_Kd_mpower=Kd_mpower
PA5_Kd_minf=Kd_minf(x)
PA5_Kd_mtau=Kd_mtau(x)

#################################################
#	Comp taum = 40.00		msec
#	Comp area = 1256.64	um2
#	Comp ga   = 20000.000	nS
#	Comp gm   = 0.314		nS
#	Comp cm   = 12.566	pF

#################################################

S_Cm=12.566371		# pF
S_Ga=20000.000000		# nS
S_L_Gmax=0.314159		# nS
S_L_Erev=-64.315641

#################################################
#	Comp taum = 40.00		msec
#	Comp area = 1256.64	um2
#	Comp ga   = 20000.000	nS
#	Comp gm   = 0.314		nS
#	Comp cm   = 12.566	pF

#################################################

PS_Cm=12.566371			# pF
PS_Ga=20000.000000		# nS
PS_L_Gmax=0.314159		# nS
PS_L_Erev=-64.315641		# mV

#################################################

#	D lambda  = 2236.07	um
#	6 comps of length 100.00 um (total 600.00 um)
#	Comp taum = 40.00		msec
#	Comp area = 1570.80	um2
#	Comp ga   = 196.350	nS
#	Comp gm   = 0.393		nS
#	Comp cm   = 15.708	pF

#################################################

D0_Cm=15.707963		# pF
D0_Ga=196.349541		# nS
D0_L_Gmax=0.392699	# nS
D0_L_Erev=-64.315641	# mV

D1_Cm=15.707963		# pF
D1_Ga=196.349541		# nS
D1_L_Gmax=0.392699	# nS
D1_L_Erev=-64.315641	# mV

D2_Cm=15.707963		# pF
D2_Ga=196.349541		# nS
D2_L_Gmax=0.392699	# nS
D2_L_Erev=-64.315641	# mV

D3_Cm=15.707963		# pF
D3_Ga=196.349541		# nS
D3_L_Gmax=0.392699	# nS
D3_L_Erev=-64.315641	# mV

D4_Cm=15.707963		# pF
D4_Ga=196.349541		# nS
D4_L_Gmax=0.392699	# nS
D4_L_Erev=-64.315641	# mV

D5_Cm=15.707963		# pF
D5_Ga=196.349541		# nS
D5_L_Gmax=0.392699	# nS
D5_L_Erev=-64.315641	# mV

#################################################

#	PD lambda  = 2236.07	um
#	6 comps of length 100.00 um (total 600.00 um)
#	Comp taum = 40.00		msec
#	Comp area = 1570.80	um2
#	Comp ga   = 196.350	nS
#	Comp gm   = 0.393		nS
#	Comp cm   = 15.708	pF

#################################################

PD0_Cm=15.707963		# pF
PD0_Ga=196.349541		# nS
PD0_L_Gmax=0.392699	# nS
PD0_L_Erev=-64.315641	# mV

PD1_Cm=15.707963		# pF
PD1_Ga=196.349541		# nS
PD1_L_Gmax=0.392699	# nS
PD1_L_Erev=-64.315641	# mV

PD2_Cm=15.707963		# pF
PD2_Ga=196.349541		# nS
PD2_L_Gmax=0.392699	# nS
PD2_L_Erev=-64.315641	# mV

PD3_Cm=15.707963		# pF
PD3_Ga=196.349541		# nS
PD3_L_Gmax=0.392699	# nS
PD3_L_Erev=-64.315641	# mV

PD4_Cm=15.707963		# pF
PD4_Ga=196.349541		# nS
PD4_L_Gmax=0.392699	# nS
PD4_L_Erev=-64.315641	# mV

PD5_Cm=15.707963		# pF
PD5_Ga=196.349541		# nS
PD5_L_Gmax=0.392699	# nS
PD5_L_Erev=-64.315641	# mV

D1_PD1_G_Ggap=20		# nS
PD1_D1_G_Ggap=20		# nS


# For 2ms a 2nA current is applied to the last segment
# of the axon of cell 1.
V if (t>4&&t<6) A5_Iext=2000; else A5_Iext=0;