TYPE-DEPENDENT STOCHASTIC ISING MODEL DESCRIBING T... - BV FAPESP
Busca avançada
Ano de início
Entree
(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

TYPE-DEPENDENT STOCHASTIC ISING MODEL DESCRIBING THE DYNAMICS OF A NON-SYMMETRIC FEEDBACK MODULE

Texto completo
Autor(es):
Gonzalez-Navarrete, Manuel
Número total de Autores: 1
Tipo de documento: Artigo Científico
Fonte: Mathematical Biosciences and Engineering; v. 13, n. 5, p. 981-998, OCT 2016.
Citações Web of Science: 0
Resumo

We study an alternative approach to model the dynamical behaviors of biological feedback loop, that is, a type-dependent spin system, this class of stochastic models was introduced by Fernandez et. al {[}13], and are useful since take account to inherent variability of gene expression. We analyze a non symmetric feedback module being an extension for the repressilator, the first synthetic biological oscillator, invented by Elowitz and Leibler {[}7]. We consider a mean-field dynamics for a type-dependent Ising model, and then study the empirical-magnetization vector representing concentration of molecules. We apply a convergence result from stochastic jump processes to deterministic trajectories and present a bifurcation analysis for the associated dynamical system. We show that non-symmetric module under study can exhibit very rich behaviours, including the empirical oscillations described by repressilator. (AU)

Processo FAPESP: 15/02801-6 - Modelos de Ising com campo externo periódico: diagrama de fase e evolução estocástica
Beneficiário:Manuel Alejandro González Navarrete
Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado