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

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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< fBR		>>
		>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
		>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>


		>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
fBR:		> 	Modulation by regulator				>
		>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

>----------------------->----------------------------------------------->
			>						>
	1		>	fBR = BR			(1)	>
			>						>
>----------------------->----------------------------------------------->
>			>						>
>	2		>	fBR = 1 + BR			(2)	>
>			>						>
>----------------------->----------------------------------------------->
>			>						>
>	3		>		 1				>
>	4.5	>ß<	>	fBR = ----------------		(3)	>
>			>	     1 + ß x BR				>
>			>						>
>----------------------->----------------------------------------------->


		>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
BR:		> 	Modulation by regulator				>
		>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

>----------------------->----------------------------------------------->
>			>						>
>	1		>	dBR    Creg - BR			>
>	1.2	>IV<	>	--- = ----------		(1)	>
>	3.4	>u<	>	dt       u				>
>			>						>
>----------------------->----------------------------------------------->
			>						>
	2		>	      Creg				>
	0.5	>a<	>	BR = ----------			(2)	>
			>	     a + Creg				>
			>						>
>----------------------->----------------------------------------------->
>			>						>
>	3		>	            Creg			>
>	xxx.xx	>a<	>	BR = 1 + ---------		(3)	>
>			>	          a + Creg			>
>			>						>
>----------------------->----------------------------------------------->
>			>						>
>	4		>		1				>
>	0.5	>ß<	>	BR = ------------		(4)	>
>			>	     1 + ß x Creg			>
>			>						>
>			>						>
>----------------------->----------------------------------------------->


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