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Deterministic chaos in a mathematical model of a snail neuron (Komendantov and Kononenko 1996)
Accession: 125683
"Chaotic regimes in a mathematical model of pacemaker activity in the bursting neurons of a snail Helix pomatia, have been investigated. The model includes a slow-wave generating mechanism, a spike-generating mechanism, an inward Ca current, intracellular Ca ions, [Ca2+]in, their fast buffering and uptake by intracellular Ca stores, and a [Ca2+]in-inhibited Ca current. Chemosensitive voltage-activated conductance, gB*, responsible for termination of the spike burst, and chemosensitive sodium conductance, gNa*, responsible for the depolarization phase of the slow-wave, were used as control parameters. ... Time courses of the membrane potential and [Ca2+]in were employed to analyse different regimes in the model. ..."
Reference: Komendantov AO, Kononenko NI (1996) Deterministic chaos in mathematical model of pacemaker activity in bursting neurons of snail, Helix pomatia. J Theor Biol 183:219-30 [PubMed]
Citations  Citation Browser
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:  Helix pomatia (snail);
Cell Type(s):   Pacemaker bursting neuron RPa1;
Channel(s):  I Na,t; I K; I Calcium;  
Gap Junctions:  
Receptor(s):  
Gene(s):  
Transmitter(s):  
Simulation Environment:  XPP;
Model Concept(s):  Activity Patterns; Bursting; Invertebrate; Calcium dynamics;
Implementer(s):  Komendantov, Alexander O [akomenda at tulane.edu];
Search NeuronDB for information about:  I Na,t; I K; I Calcium;
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KomendantovEtAl1996
readme.html
screenshot.jpg
mode-transition.pdf
chaotic-bursting.pdf
jtb-kk.ode
                            
This is the readme for the model associated with the paper

Komendantov AO, Kononenko NI (1996) Deterministic chaos in
mathematical model of pacemaker activity in bursting neurons of snail,
Helix pomatia. J Theor Biol 183:219-30

The XPP model was contributed by Dr Komendantov. XPP is available
from http://www.math.pitt.edu/~bard/xpp/xpp.html

Example usage under linux:
Start with a command like

xppaut jtb-kk.ode

Select Initalconds -> Go with the mouse.  After a short time you
should get this graph

screenshot

which replicates figure 9 A from the paper.

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