Multiple modes of a conditional neural oscillator (Epstein, Marder 1990)

 Download zip file 
Help downloading and running models
Accession:42321
We present a model for a conditional bursting neuron consisting of five conductances: Hodgkin-Huxley type time- and voltage-dependent Na+ and K+ conductances, a calcium activated voltage-dependent K+ conductance, a calcium-inhibited time- and voltage-dependent Ca++ conductance, and a leakage Cl- conductance. Different bursting and silent modes and transitions between them are analyzed in the model and compared to bursting modes in experiment. See the paper for details.
Reference:
1 . Epstein IR, Marder E (1990) Multiple modes of a conditional neural oscillator. Biol Cybern 63:25-34 [PubMed]
Model Information (Click on a link to find other models with that property)
Model Type: Neuron or other electrically excitable cell;
Brain Region(s)/Organism:
Cell Type(s):
Channel(s): I Chloride; I Na,t; I K; I Sodium; I Calcium; I Potassium;
Gap Junctions:
Receptor(s):
Gene(s):
Transmitter(s):
Simulation Environment: SNNAP;
Model Concept(s): Bursting; Invertebrate;
Implementer(s): Baxter, Douglas;
Search NeuronDB for information about:  I Chloride; I Na,t; I K; I Sodium; I Calcium; I Potassium;
		>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
		>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
		>>    modules name: m		>>
		>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
		>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>


		>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
m:		> 	Activation function (rate constant method)	>
		>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>


>----------------------->--------------------------------------->
			>					>
	1		>	     am				>
			>	m= --------		     (1)>
			>	    am+bm			>
			>					>
>----------------------->--------------------------------------->
>			>					>
>	2		>	dm/dt=am x (1-m) - bm x m    (2)>
>	-1	>IV<	>					>
>----------------------->--------------------------------------->
>			>					>
>	3		>	dm/dt=L[am x (1-m) - bm x m] (3)>
>	-1	>IV<	>					>
>	.56	>L<	>					>
>----------------------->--------------------------------------->



		>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
am:		> 	Rate parameter (1)				>	
		>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

>----------------------->----------------------------------------------->
>	1		>	         			(1)	>
>	xxx.xx	>A<	>	am = A        				>
>----------------------->----------------------------------------------->
>	2		>		A (V+B)				>
>	1.24	>A<	>	am = --------------------	(2)	>
>	2.46	>B<	>	          (C-V)/D 			>
>	23.2354	>C<	>	     1 + e        			>
>	235.234	>D<	>						>
>			>						>
>----------------------->----------------------------------------------->
	3		>		A (V+B)				>
	0.12	>A<	>	am = --------------------	(3)	>
	27.0	>B<	>	          (C-V)/D 			>
	-27.0	>C<	>	     1 - e        			>
	8.0	>D<	>						>
			>						>
>----------------------->----------------------------------------------->
>	4		>	          (A-V)/B 		(4)	>
>	xxx.xx	>A<	>	am = 1 + e        			>
>	xxx.xx	>B<	>						>
>			>						>
>----------------------->----------------------------------------------->
>	5		>	         (B-V)/C 		(5)	>
>	xxx.xx	>A<	>	am = A e        			>
>	xxx.xx	>B<	>						>
>	xxx.xx	>C<	>						>
>----------------------->----------------------------------------------->
>	6		>		A 				>
>	xxx.xx	>A<	>	am = --------------------	(6)	>
>	xxx.xx	>B<	>	          (B-V)/C 			>
>	xxx.xx	>C<	>	     1 + e        			>
>			>						>
>----------------------->----------------------------------------------->
>	7		>		A 				>
>	xxx.xx	>A<	>	am = --------------------	(7)	>
>	xxx.xx	>B<	>	          (B-V)/C 			>
>	xxx.xx	>C<	>	     1 - e        			>
>			>						>
>----------------------->----------------------------------------------->
>	8		>		1 				>
>	xxx.xx	>A<	>	am = --------------------	(8)	>
>	xxx.xx	>B<	>	          (A-V)/B 			>
>			>	     1 + e        			>
>			>						>
>----------------------->----------------------------------------------->
>	9		>		1 				>
>	xxx.xx	>A<	>	am = --------------------	(9)	>
>	xxx.xx	>B<	>	          (A-V)/B 			>
>			>	     1 - e        			>
>			>						>
>----------------------->----------------------------------------------->

		>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
bm:		> 	Rate parameter (2)				>	
		>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

>----------------------->----------------------------------------------->
>	1		>	         			(1)	>
>	xxx.xx	>A<	>	bm = A        				>
>----------------------->----------------------------------------------->
>	2		>		A (V+B)				>
>	1.24	>A<	>	bm = --------------------	(2)	>
>	2.46	>B<	>	          (C-V)/D 			>
>	23.2354	>C<	>	     1 + e        			>
>	235.234	>D<	>						>
>			>						>
>----------------------->----------------------------------------------->
>	3		>		A (V+B)				>
>	1.24	>A<	>	bm = --------------------	(3)	>
>	2.46	>B<	>	          (C-V)/D 			>
>	23.2354	>C<	>	     1 - e        			>
>	235.234	>D<	>						>
>			>						>
>----------------------->----------------------------------------------->
>	4		>	          (A-V)/B 		(4)	>
>	xxx.xx	>A<	>	bm = 1 + e        			>
>	xxx.xx	>B<	>						>
>			>						>
>----------------------->----------------------------------------------->
	5		>	         (B-V)/C 		(5)	>
	4.0	>A<	>	bm = A e        			>
	-47.0	>B<	>						>
	15.0	>C<	>						>
>----------------------->----------------------------------------------->
>	6		>		A 				>
>	xxx.xx	>A<	>	bm = --------------------	(6)	>
>	xxx.xx	>B<	>	          (B-V)/C 			>
>	xxx.xx	>C<	>	     1 + e        			>
>			>						>
>----------------------->----------------------------------------------->
>	7		>		A 				>
>	xxx.xx	>A<	>	bm = --------------------	(7)	>
>	xxx.xx	>B<	>	          (B-V)/C 			>
>	xxx.xx	>C<	>	     1 - e        			>
>			>						>
>----------------------->----------------------------------------------->
>	8		>		1 				>
>	xxx.xx	>A<	>	bm = --------------------	(8)	>
>	xxx.xx	>B<	>	          (A-V)/B 			>
>			>	     1 + e        			>
>			>						>
>----------------------->----------------------------------------------->
>	9		>		1 				>
>	xxx.xx	>A<	>	bm = --------------------	(9)	>
>	xxx.xx	>B<	>	          (A-V)/B 			>
>			>	     1 - e        			>
>			>						>
>----------------------->----------------------------------------------->

> Ligand
> -------

Loading data, please wait...