| Texto completo | |
| Autor(es): |
Gonzalez-Navarrete, Manuel
Número total de Autores: 1
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| 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 |