Using of Phenomenological Piecewise Continuous Map for Modeling of Neurons Behaviour
Chaotic Dynamics
2007-05-23 v2 Adaptation and Self-Organizing Systems
q-bio
Abstract
A piecewise continuous map for modeling bursting and spiking behaviour of isolated neuron is proposed. The map was created from phenomenological viewpoint. The map demonstrates oscillations, which are qualitatively similar to oscillations generating by Rose-Hindmarsh model. The synchronization in small ensembles of the maps is investigated. It is considered the different number of elements in the ensemble and different connectivity topologies.
Cite
@article{arxiv.nlin/0208022,
title = {Using of Phenomenological Piecewise Continuous Map for Modeling of Neurons Behaviour},
author = {K. V. Andreev and L. V. Krasichkov},
journal= {arXiv preprint arXiv:nlin/0208022},
year = {2007}
}
Comments
4 pages RevTeX, 7 figures PostScript, revised version