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BIOMD0000000141 - Izhikevich2004_SpikingNeurons_Class1Excitable

 

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Reference Publication
Publication ID: 15484883
Izhikevich EM.
Which model to use for cortical spiking neurons?
IEEE Trans Neural Netw 2004 Sep; 15(5): 1063-1070
The Neurosciences Institute, San Diego, CA 92121, USA. Eugene.Izhikevich@nsi.edu  [more]
Model
Original Model: http://senselab.med.yale.e...
Submitter: Enuo He
Submission ID: MODEL7210876282
Submission Date: 15 Aug 2007 21:32:22 UTC
Last Modification Date: 16 May 2012 10:08:26 UTC
Creation Date: 16 Jul 2007 09:41:14 UTC
Encoders:  Enuo He
set #1
bqbiol:occursIn Taxonomy Mammalia
bqbiol:isVersionOf Gene Ontology regulation of membrane potential
Gene Ontology action potential
Gene Ontology neuronal action potential
Notes

This a model from the article:
Which model to use for cortical spiking neurons?
Izhikevich EM. IEEE Trans Neural Netw. 2004 Sep;15(5):1063-70. 15484883 ,
Abstract:
We discuss the biological plausibility and computational efficiency of some of the most useful models of spiking and bursting neurons. We compare their applicability to large-scale simulations of cortical neural networks.

The model is according to the paper Which Model to Use for Cortical Spiking Neurons? Figure1(G) Class 1 excitable has been reproduced by MathSBML. The ODE and the parameters values are originally taken from the a paper Simple Model of Spiking Neurons The original format of the models are encoded in the MATLAB format existed in the ModelDB with Accession number 39948

Figure1 are the simulation results of the same model with different choices of parameters and different stimulus function or events.a=0.02; b=-0.1; c=-55; d=6; V=-60; u=b*V;

This model originates from BioModels Database: A Database of Annotated Published Models. It is copyright (c) 2005-2010 The BioModels Team.
For more information see the terms of use .
To cite BioModels Database, please use Le Novère N., Bornstein B., Broicher A., Courtot M., Donizelli M., Dharuri H., Li L., Sauro H., Schilstra M., Shapiro B., Snoep J.L., Hucka M. (2006) BioModels Database: A Free, Centralized Database of Curated, Published, Quantitative Kinetic Models of Biochemical and Cellular Systems Nucleic Acids Res., 34: D689-D691.

Model
Publication ID: 15484883 Submission Date: 15 Aug 2007 21:32:22 UTC Last Modification Date: 16 May 2012 10:08:26 UTC Creation Date: 16 Jul 2007 09:41:14 UTC
Mathematical expressions
Rules
Assignment Rule (variable: i) Rate Rule (variable: v) Rate Rule (variable: u)  
Events
event_0000001      
Physical entities
Compartments Species
cell      
Global parameters
a b c d
Vthresh i v u
Reactions (0)
Rules (3)
 
 Assignment Rule (name: i) i = piecewise(0, time < 30, 0.075*(time-30))
 
 Rate Rule (name: v) d [ v] / d t= 0.04*v^2+4.1*v+108-u+i
 
 Rate Rule (name: u) d [ u] / d t= a*(b*v-u)
 
Events (1)
 
 event_0000001
v = c
u = u+d
 
  Spatial dimensions: 3.0  Compartment size: 1.0
Global Parameters (8)
 
   a
Value: 0.02
Constant
 
   b
Value: -0.1
Constant
 
   c
Value: -55.0
Constant
 
   d
Value: 6.0
Constant
 
   Vthresh
Value: 30.0
Constant
 
   i  
 
   v
Value: -60.0
 
   u
Value: 6.0
 
Representative curation result(s)
Representative curation result(s) of BIOMD0000000141

Curator's comment: (updated: 18 Jun 2010 11:51:15 BST)

Figure1G -Class 1 excitable has been reproduced using Copasi v-4.5.31

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