Typical frequency-current curves of neurons obtained from a model based on cellular automaton
| Autor: | T.G. Correale, Luiz Henrique Alves Monteiro |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
0301 basic medicine
Quantitative Biology::Neurons and Cognition Applied Mathematics Cellular automaton Ion 03 medical and health sciences Computational Mathematics 030104 developmental biology 0302 clinical medicine medicine.anatomical_structure nervous system Lattice (order) Axonal membrane medicine Constant current Axon Biological system Algorithm 030217 neurology & neurosurgery Bifurcation Ion channel Mathematics |
| Zdroj: | Applied Mathematics and Computation. 304:136-141 |
| ISSN: | 0096-3003 |
| Popis: | We had developed a cellular automaton model for computing the axon potential.This model is based on the behavior of the ion channels.We show it reproduces the frequency-current curve for type-1 and type-2 neurons.The curve for type-2 neurons is compared to the one derived from a classical model. Usually, neurons stimulated by constant current exhibit one of two types of behavior: for type-1 neurons, the curve representing firing frequency versus input current is continuous; for type-2 neurons, there is a discontinuity in such a curve. Here, we reproduce these typical behaviors from a discrete-time model based on the dynamics of ion channels. In this model, the axonal membrane is considered as a lattice and each patch of this lattice contains a set of ion channels. The state transitions of the voltage-gated ion channels are governed by deterministic rules. We show that the frequency-current relationship obtained from this model is similar to the one derived from the HodgkinHuxley equations, which are commonly used to describe type-2 neurons. We also show that our approach can be convenient to model type-1 neurons. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect