SYNAPTIC TRANSMISSION AND FOKKER-PLANCK EQUATION

Elso Drigo Filho, Marcelo Araujo

Abstract

An important neurologic process consists in a time dependent transmission of the electric signal between neurons. The description of such signal is the objective of this work. In this way, the Fokker-Planck equation with a term of control which depends on time is used. The applied force is characterized by the existence of a barrier that increases with time and reduces the diffusion of particles. The solution of the equation is obtained by an ansatz that satisfies the initial conditions of the problem. Numerical examples of the time evolution of the found solutions are analyzed by calculating the escape rate and the time necessary to across the barrier for different values of diffusion constant.

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Paper Citation


in Harvard Style

Drigo Filho E. and Araujo M. (2012). SYNAPTIC TRANSMISSION AND FOKKER-PLANCK EQUATION . In Proceedings of the 1st International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES, ISBN 978-989-8425-97-3, pages 59-63. DOI: 10.5220/0003757100590063


in Bibtex Style

@conference{icores12,
author={Elso Drigo Filho and Marcelo Araujo},
title={SYNAPTIC TRANSMISSION AND FOKKER-PLANCK EQUATION},
booktitle={Proceedings of the 1st International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,},
year={2012},
pages={59-63},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003757100590063},
isbn={978-989-8425-97-3},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 1st International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,
TI - SYNAPTIC TRANSMISSION AND FOKKER-PLANCK EQUATION
SN - 978-989-8425-97-3
AU - Drigo Filho E.
AU - Araujo M.
PY - 2012
SP - 59
EP - 63
DO - 10.5220/0003757100590063