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;
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		>>    modules name< ION		>>
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		>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
Cion:		> 	Concentration of an ion				>
		>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

>----------------------->------------------------------------------------------>
>	1		>						       >
>	4.34	>Vc< 	>				-------		       >
>	1.2	>K1<	>				       \	       >
>	3.4	>K2<	>				        \	       >
>	5.6	>K3<	>	dCion     CIion - Iu - Id	|	       >
>	7.8	>Dgain<	>	----- = -----------------	|	       >
>	6.7	>Dmid<	>	 dt             Vc		|	       >
>	1.112	>p<	>					|	       >
>			>		     | -------  |	|	       >
>			>		     | \        |	|	       >
>			>	CIion = K1 x |  > Iion  | - K2	|	       >
>			>		     | /        |	 >	(1)    >
>			>		     | -------  |	|	       >
>			>					|	       >
>			>		Dgain			|	       >
>			>	Iu = ---------------		|	       >
>			>			    p		|	       >
>			>		1+ dmid/Cion		|	       >
>			>					|	       >
>			>	Id = K3 x Cion			|	       >
>			>					/	       >
>			>				       /	       >
>			>				-------		       >
>			>						       >
>----------------------->------------------------------------------------------>
	2		>		    +--		           --+	       >
	0.003	>K1<	>		    |     | -------  |	     |	       >
	0.0975	>K2<	>	dCion	    |     | \        |	     |	       >
			>	-----= K1 x |K2 x |  > Iion  | -Cion |	(2)    >
			>	 dt	    |     | /        |	     |	       >
			>		    |     | -------  |	     |	       >
			>		    |			     |	       >
			>		    +--		           --+	       >
			>						       >
>----------------------->------------------------------------------------------>




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