Análisis determińistico de la red de regulación génica involucrada en la expresión y función del factor de transcripción σ32 en E. coli

Motivation: Factor expression is a response of E.coli under heat shock conditions. The mechanism of induction of heat shock chaperone proteins and proteases has been well studied, but much of the regulatory network of the factor is not fully understood. For this reason, in this work we propose a deterministic model of the network, which is solved by means of the tools present in Matlab® and then we evaluate the influence of the transcription, translation and degradation rates on all the concentrations of the species involved in the network, in order to determine which of these factors is the one that the cell possibly uses to regulate the expression of the factor.
Results: In the resolution of the system of ordinary equations by means of the ode45 algorithm, it was corroborated that the half-life of sigma 32 is 1 minute for the steady state concentration. In addition, it was found that variations in the rpoH transcription and mRNA degradation constants of the network ( are not significant in the production of the factor, nor in the production of heat shock proteins. On the other hand, from the sensitivity analysis it was inferred that the mRNA translation constant is the most critical rate for the regulation of factor expression in the network. Finally, with respect to it is concluded that it is an important term in factor stabilization .
Availability and Implementation: The análi