Mathematical modeling of working memory in the presence of random disturbance using neural field equations

Bibliographic Details
Main Author: Lima, Pedro M.
Publication Date: 2021
Other Authors: Erlhagen, Wolfram, Kulikov, Gennady Yu., Kulikova, Maria V.
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: https://hdl.handle.net/1822/88016
Summary: In this paper, we describe a neural field model which explains how a population of cortical neurons may encode in its firing pattern simultaneously the nature and time of sequential stimulus events. Moreover, we investigate how noise-induced perturbations may affect the coding process. This is obtained by means of a two-dimensional neural field equation, where one dimension represents the nature of the event (for example, the color of a light signal) and the other represents the moment when the signal has occurred. The additive noise is represented by a Q-Wiener process. Some numerical experiments reported are carried out using a computational algorithm for two-dimensional stochastic neural field equations.
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spelling Mathematical modeling of working memory in the presence of random disturbance using neural field equationsStochastic neural field equationWorking memoryTwo-dimensional neural fieldCiências Naturais::MatemáticasIn this paper, we describe a neural field model which explains how a population of cortical neurons may encode in its firing pattern simultaneously the nature and time of sequential stimulus events. Moreover, we investigate how noise-induced perturbations may affect the coding process. This is obtained by means of a two-dimensional neural field equation, where one dimension represents the nature of the event (for example, the color of a light signal) and the other represents the moment when the signal has occurred. The additive noise is represented by a Q-Wiener process. Some numerical experiments reported are carried out using a computational algorithm for two-dimensional stochastic neural field equations.The authors acknowledge the financial support of the portuguese FCT (Fundação para a Ciência e Tecnologia), through projects UIDB/04621/2020, UIDP/04621/2020 (IST), UIDB/00013/2020, UIDP/00013/2020 (UMinho) and PTDC/MAT-APL/31393/2017EDP SciencesUniversidade do MinhoLima, Pedro M.Erlhagen, WolframKulikov, Gennady Yu.Kulikova, Maria V.2021-022021-02-01T00:00:00Zconference paperinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/1822/88016engLima, P. M., Erlhagen, W., Kulikov, G. Y., & Kulikova, M. V. (2021). Mathematical Modeling of Working Memory in the Presence of Random Disturbance using Neural Field Equations. (A. Nadykto, N. Aleksic, P. Lima, P. Pivkin, L. Uvarova, X. Jiang, & A. Zelensky, Eds.), EPJ Web of Conferences. EDP Sciences. http://doi.org/10.1051/epjconf/20212480102110.1051/epjconf/202124801021https://www.epj-conferences.org/articles/epjconf/abs/2021/02/epjconf_mnps2021_01021/epjconf_mnps2021_01021.htmlinfo:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-11T05:51:10Zoai:repositorium.sdum.uminho.pt:1822/88016Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T15:32:28.263186Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Mathematical modeling of working memory in the presence of random disturbance using neural field equations
title Mathematical modeling of working memory in the presence of random disturbance using neural field equations
spellingShingle Mathematical modeling of working memory in the presence of random disturbance using neural field equations
Lima, Pedro M.
Stochastic neural field equation
Working memory
Two-dimensional neural field
Ciências Naturais::Matemáticas
title_short Mathematical modeling of working memory in the presence of random disturbance using neural field equations
title_full Mathematical modeling of working memory in the presence of random disturbance using neural field equations
title_fullStr Mathematical modeling of working memory in the presence of random disturbance using neural field equations
title_full_unstemmed Mathematical modeling of working memory in the presence of random disturbance using neural field equations
title_sort Mathematical modeling of working memory in the presence of random disturbance using neural field equations
author Lima, Pedro M.
author_facet Lima, Pedro M.
Erlhagen, Wolfram
Kulikov, Gennady Yu.
Kulikova, Maria V.
author_role author
author2 Erlhagen, Wolfram
Kulikov, Gennady Yu.
Kulikova, Maria V.
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Lima, Pedro M.
Erlhagen, Wolfram
Kulikov, Gennady Yu.
Kulikova, Maria V.
dc.subject.por.fl_str_mv Stochastic neural field equation
Working memory
Two-dimensional neural field
Ciências Naturais::Matemáticas
topic Stochastic neural field equation
Working memory
Two-dimensional neural field
Ciências Naturais::Matemáticas
description In this paper, we describe a neural field model which explains how a population of cortical neurons may encode in its firing pattern simultaneously the nature and time of sequential stimulus events. Moreover, we investigate how noise-induced perturbations may affect the coding process. This is obtained by means of a two-dimensional neural field equation, where one dimension represents the nature of the event (for example, the color of a light signal) and the other represents the moment when the signal has occurred. The additive noise is represented by a Q-Wiener process. Some numerical experiments reported are carried out using a computational algorithm for two-dimensional stochastic neural field equations.
publishDate 2021
dc.date.none.fl_str_mv 2021-02
2021-02-01T00:00:00Z
dc.type.driver.fl_str_mv conference paper
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/1822/88016
url https://hdl.handle.net/1822/88016
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Lima, P. M., Erlhagen, W., Kulikov, G. Y., & Kulikova, M. V. (2021). Mathematical Modeling of Working Memory in the Presence of Random Disturbance using Neural Field Equations. (A. Nadykto, N. Aleksic, P. Lima, P. Pivkin, L. Uvarova, X. Jiang, & A. Zelensky, Eds.), EPJ Web of Conferences. EDP Sciences. http://doi.org/10.1051/epjconf/202124801021
10.1051/epjconf/202124801021
https://www.epj-conferences.org/articles/epjconf/abs/2021/02/epjconf_mnps2021_01021/epjconf_mnps2021_01021.html
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv EDP Sciences
publisher.none.fl_str_mv EDP Sciences
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
_version_ 1833595378126028800

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