Self-activating gene as a nonlinear oscillator

摘要

In this contribution we report on a study of a common cellular regulatory unit with positive feedback loop: self activating gene. The system was described by the chemical kinetics theory, that provides a set of ordinary differential equations. Analysis of them allow us to consider the self activating gene as a nonlinear convergent oscillator with the potential function in the form of a third degree polynomial. The model developed is convenient for applications in description and analysis of a wide range of biological processes.