Fock space approach to schnakenberg model

• Ano de defesa: 2016
• Autor(a) principal: LEANDRO, Marlon Oliveira Martins
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de Pernambuco; UFPE; Brasil; Programa de Pos Graduacao em Matematica
• Palavras-chave em Português: Espaços de Fock. Reações químicas. Osciladores biológicos. Modelo de Schnakenberg.; Fock spaces. Chemical reactions. Biological oscillators. Schnakenberg model
• Link de acesso: https://repositorio.ufpe.br/handle/123456789/17595

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.