Interação entre genes no modelo de spins e bósons / Gene interactions in the spin-boson model
AUTOR(ES)
Willian Andrighetto Trevizan
DATA DE PUBLICAÇÃO
2011
RESUMO
Several functional modules in cells or bacteria are controlled by genes that regulate each other by coding repressive or inducer proteins. The understanding of these genetic networks is still an open problem in biology. In this work we apply the stochastic spin-boson model to the simplest interacting network, made of two genes, the first repressing the second. We present the exact solution for the stationary probability distribution over their both protein numbers, and the temporal evolution of the second genes state (on or off). We also discuss ways of generalizing these results to larger networks.
ASSUNTO(S)
analiticidade analyticity exact solutions expressão gênica gene expression método variacional modelos estocásticos soluções exatas stochastic models variational method
