A continuous time stochastic model for biological neural nets
Probability
2015-07-24 v1
Abstract
We propose a new stochastic model for biological neural nets which is a continuous time version of the model proposed by Galves and L\"ocherbach in [A. Galves and E. L\"ocherbach, "Infinite systems of interacting chains with memory of variable length - a stochastic model for biological neural nets", J. Stat. Phys. 151 (2013), no. 5, 896-921]. We also show how to computationally simulate such model for easy neuron potential decays and probability functions and characterize when the model has a finite time of death almost surely.
Keywords
Cite
@article{arxiv.1507.06331,
title = {A continuous time stochastic model for biological neural nets},
author = {Leonardo Nagami Coregliano},
journal= {arXiv preprint arXiv:1507.06331},
year = {2015}
}
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17 pages