Fock space approach to schnakenberg model

Detalhes bibliográficos
Autor(a) principal: LEANDRO, Marlon Oliveira Martins
Data de Publicação: 2016
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFPE
Texto Completo: https://repositorio.ufpe.br/handle/123456789/17595
Resumo: This work has as objective to study the relationship between Fock spaces, quantum operators and chemical reaction systems used to model many stochastic processes with biological motivation, such as population growth, heartbeats and cell metabolism. In particular, we work with a generalization of Schnakenberg model, in its deterministic and stochastic versions, and which is used to describe the process of cellular glycolysis. As it is a new and at the same time a interdisciplinary area, involving knowledge in stochastic processes, theoretical physics, chemistry and biomathematics, this text seeks to be self-contained, including all the elements needed for the study of theme, for the purpose of contribute to the better understanding between these diverse areas.
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spelling LEANDRO, Marlon Oliveira Martinshttp://lattes.cnpq.br/6588962742799305http://lattes.cnpq.br/9100032882367430SANTOS, Fernando Antônio Nóbrega2016-08-02T18:02:48Z2016-08-02T18:02:48Z2016-05-24https://repositorio.ufpe.br/handle/123456789/17595This work has as objective to study the relationship between Fock spaces, quantum operators and chemical reaction systems used to model many stochastic processes with biological motivation, such as population growth, heartbeats and cell metabolism. In particular, we work with a generalization of Schnakenberg model, in its deterministic and stochastic versions, and which is used to describe the process of cellular glycolysis. As it is a new and at the same time a interdisciplinary area, involving knowledge in stochastic processes, theoretical physics, chemistry and biomathematics, this text seeks to be self-contained, including all the elements needed for the study of theme, for the purpose of contribute to the better understanding between these diverse areas.CapesEste trabalho tem como objetivo estudar a relação entre espaços de Fock, operadores de mecânica quântica e sistemas de reações químicas usados para modelar diversos processos estocásticos com motivação biológica, como crescimento populacional, batimentos cardíacos e metabolismo celular. Em particular, vamos trabalhar com uma generalização do modelo de Schnakenberg, em suas versões determinística e estocástica, e que pode ser utilizado para descrever o processo de glicólise celular. Como é uma área recente e ao mesmo tempo interdisciplinar, envolvendo conhecimento em processos estocásticos, física teórica, química e biomatemática, este texto procura ser autocontido, incluindo todos os fundamentos necessários para o estudo do tema, visando contribuir para o melhor entendimento entre estas diversas áreas.porUniversidade Federal de PernambucoPrograma de Pos Graduacao em MatematicaUFPEBrasilAttribution-NonCommercial-NoDerivs 3.0 Brazilhttp://creativecommons.org/licenses/by-nc-nd/3.0/br/info:eu-repo/semantics/openAccessEspaços de Fock. Reações químicas. Osciladores biológicos. Modelo de Schnakenberg.Fock spaces. Chemical reactions. Biological oscillators. 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dc.title.pt_BR.fl_str_mv Fock space approach to schnakenberg model
title Fock space approach to schnakenberg model
spellingShingle Fock space approach to schnakenberg model
LEANDRO, Marlon Oliveira Martins
Espaços de Fock. Reações químicas. Osciladores biológicos. Modelo de Schnakenberg.
Fock spaces. Chemical reactions. Biological oscillators. Schnakenberg model
title_short Fock space approach to schnakenberg model
title_full Fock space approach to schnakenberg model
title_fullStr Fock space approach to schnakenberg model
title_full_unstemmed Fock space approach to schnakenberg model
title_sort Fock space approach to schnakenberg model
author LEANDRO, Marlon Oliveira Martins
author_facet LEANDRO, Marlon Oliveira Martins
author_role author
dc.contributor.authorLattes.pt_BR.fl_str_mv http://lattes.cnpq.br/6588962742799305
dc.contributor.advisorLattes.pt_BR.fl_str_mv http://lattes.cnpq.br/9100032882367430
dc.contributor.author.fl_str_mv LEANDRO, Marlon Oliveira Martins
dc.contributor.advisor1.fl_str_mv SANTOS, Fernando Antônio Nóbrega
contributor_str_mv SANTOS, Fernando Antônio Nóbrega
dc.subject.por.fl_str_mv Espaços de Fock. Reações químicas. Osciladores biológicos. Modelo de Schnakenberg.
Fock spaces. Chemical reactions. Biological oscillators. Schnakenberg model
topic Espaços de Fock. Reações químicas. Osciladores biológicos. Modelo de Schnakenberg.
Fock spaces. Chemical reactions. Biological oscillators. Schnakenberg model
description This work has as objective to study the relationship between Fock spaces, quantum operators and chemical reaction systems used to model many stochastic processes with biological motivation, such as population growth, heartbeats and cell metabolism. In particular, we work with a generalization of Schnakenberg model, in its deterministic and stochastic versions, and which is used to describe the process of cellular glycolysis. As it is a new and at the same time a interdisciplinary area, involving knowledge in stochastic processes, theoretical physics, chemistry and biomathematics, this text seeks to be self-contained, including all the elements needed for the study of theme, for the purpose of contribute to the better understanding between these diverse areas.
publishDate 2016
dc.date.accessioned.fl_str_mv 2016-08-02T18:02:48Z
dc.date.available.fl_str_mv 2016-08-02T18:02:48Z
dc.date.issued.fl_str_mv 2016-05-24
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rights_invalid_str_mv Attribution-NonCommercial-NoDerivs 3.0 Brazil
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dc.publisher.none.fl_str_mv Universidade Federal de Pernambuco
dc.publisher.program.fl_str_mv Programa de Pos Graduacao em Matematica
dc.publisher.initials.fl_str_mv UFPE
dc.publisher.country.fl_str_mv Brasil
publisher.none.fl_str_mv Universidade Federal de Pernambuco
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