Self-activating gene as a nonlinear oscillator

Zakhar M. Frenkel; Alexander I. Melker

doi:10.1117/12.375422

25 January 2000 Self-activating gene as a nonlinear oscillator

Zakhar M. Frenkel, Alexander I. Melker

Proceedings Volume 4064, Third International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering; (2000) https://doi.org/10.1117/12.375422
Event: Third International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, 1999, St. Petersburg, Russian Federation

Abstract

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.

Citation Download Citation

Zakhar M. Frenkel and Alexander I. Melker "Self-activating gene as a nonlinear oscillator", Proc. SPIE 4064, Third International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, (25 January 2000); https://doi.org/10.1117/12.375422

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