SYNAPTIC TRANSMISSION AND FOKKER-PLANCK EQUATION

Elso Drigo Filho; Marcelo Araujo

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Paper

SYNAPTIC TRANSMISSION AND FOKKER-PLANCK EQUATION

Topics: Mathematical Modeling; Stochastic Processes

In Proceedings of the 1st International Conference on Operations Research and Enterprise Systems ICORES - Volume 1, 59-63, 2012 , Vilamoura, Algarve, Portugal

Authors: Elso Drigo Filho and Marcelo Araujo

Affiliation: State University of São Paulo - UNESP, Brazil

Keyword(s): Fokker-Planck equation, Synaptic transmission, Escape rate.

Related Ontology Subjects/Areas/Topics: Mathematical Modeling ; Methodologies and Technologies ; Operational Research ; Stochastic Processes

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 several formats:

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 - ICORES; ISBN 978-989-8425-97-3; ISSN 2184-4372, SciTePress, pages 59-63. DOI: 10.5220/0003757100590063

@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 - ICORES},
year={2012},
pages={59-63},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003757100590063},
isbn={978-989-8425-97-3},
issn={2184-4372},
}

TY - CONF

JO - Proceedings of the 1st International Conference on Operations Research and Enterprise Systems - ICORES
TI - SYNAPTIC TRANSMISSION AND FOKKER-PLANCK EQUATION
SN - 978-989-8425-97-3
IS - 2184-4372
AU - Drigo Filho, E.
AU - Araujo, M.
PY - 2012
SP - 59
EP - 63
DO - 10.5220/0003757100590063
PB - SciTePress