Deterministic chaos in a mathematical model of a snail neuron (Komendantov and Kononenko 1996)


"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. ..."

Model Type: Neuron or other electrically excitable cell

Region(s) or Organism(s): Helix pomatia (snail)

Cell Type(s): Helix pacemaker bursting neuron (RPa1)

Currents: I Na,t; I K; I Calcium

Model Concept(s): Activity Patterns; Bursting; Invertebrate; Calcium dynamics

Simulation Environment: XPPAUT

Implementer(s): Komendantov, Alexander O [akomenda at tulane.edu]

References:

Komendantov AO, Kononenko NI. (1996). Deterministic chaos in mathematical model of pacemaker activity in bursting neurons of snail, Helix pomatia. Journal of theoretical biology. 183 [PubMed]


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