Synaptic transmission and fokker-planck equation

Detalhes bibliográficos
Autor(a) principal: Filho, Elso Drigo [UNESP]
Data de Publicação: 2012
Outros Autores: Araujo, Marcelo T. [UNESP]
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://hdl.handle.net/11449/226840
Resumo: 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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spelling Synaptic transmission and fokker-planck equationEscape rateFokker-Planck equationSynaptic transmissionAn 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.Department of Physics State University of São Paulo - UNESP, Cristovao Colombo, 2265, Sao Jose do Rio PretoDepartment of Physics State University of São Paulo - UNESP, Cristovao Colombo, 2265, Sao Jose do Rio PretoUniversidade Estadual Paulista (UNESP)Filho, Elso Drigo [UNESP]Araujo, Marcelo T. [UNESP]2022-04-29T02:57:33Z2022-04-29T02:57:33Z2012-06-13info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject59-63ICORES 2012 - Proceedings of the 1st International Conference on Operations Research and Enterprise Systems, p. 59-63.http://hdl.handle.net/11449/2268402-s2.0-84861971464Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengICORES 2012 - Proceedings of the 1st International Conference on Operations Research and Enterprise Systemsinfo:eu-repo/semantics/openAccess2022-04-29T02:57:33Zoai:repositorio.unesp.br:11449/226840Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:44:35.913884Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Synaptic transmission and fokker-planck equation
title Synaptic transmission and fokker-planck equation
spellingShingle Synaptic transmission and fokker-planck equation
Filho, Elso Drigo [UNESP]
Escape rate
Fokker-Planck equation
Synaptic transmission
title_short Synaptic transmission and fokker-planck equation
title_full Synaptic transmission and fokker-planck equation
title_fullStr Synaptic transmission and fokker-planck equation
title_full_unstemmed Synaptic transmission and fokker-planck equation
title_sort Synaptic transmission and fokker-planck equation
author Filho, Elso Drigo [UNESP]
author_facet Filho, Elso Drigo [UNESP]
Araujo, Marcelo T. [UNESP]
author_role author
author2 Araujo, Marcelo T. [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Filho, Elso Drigo [UNESP]
Araujo, Marcelo T. [UNESP]
dc.subject.por.fl_str_mv Escape rate
Fokker-Planck equation
Synaptic transmission
topic Escape rate
Fokker-Planck equation
Synaptic transmission
description 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.
publishDate 2012
dc.date.none.fl_str_mv 2012-06-13
2022-04-29T02:57:33Z
2022-04-29T02:57:33Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv ICORES 2012 - Proceedings of the 1st International Conference on Operations Research and Enterprise Systems, p. 59-63.
http://hdl.handle.net/11449/226840
2-s2.0-84861971464
identifier_str_mv ICORES 2012 - Proceedings of the 1st International Conference on Operations Research and Enterprise Systems, p. 59-63.
2-s2.0-84861971464
url http://hdl.handle.net/11449/226840
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv ICORES 2012 - Proceedings of the 1st International Conference on Operations Research and Enterprise Systems
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 59-63
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808129352906309632

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