Alireza Rowhanimanesh - Assistant Professor of Control Engineering, University of Neyshabur, Neyshabur, Iran.

One of the most practical biological circuits is a genetic toggle switch that can be implemented inside a biological cell using biotechnology (Gardner et al. ۲۰۰۰). Such a biological circuit is able to perform logical functions at molecular level. Consequently, it can be severely used in gene regulation and cell fate control (Loinger et al. ۲۰۰۹). The dynamics of a genetic toggle switch is nonlinear (Jing et al. ۲۰۰۵), stochastic (Ribeiro et al. ۲۰۰۶), and very sensitive to the uncertainty and external noise. Hence, analysis and control of this dynamical system is complex (Fiore et al. ۲۰۱۸). One of the most important problems is the accurate and robust identification of the attractors (Strasser et al. ۲۰۱۲). The central question is how the attractors of a genetic toggle switch can be accurately and robustly identified from gene expression time series in the presence of uncertainty and external noise. This paper addresses this issue by fuzzy logic.

Genetic Toggle Switch, Fuzzy Logic, Nonlinear Systems, Attractor, Stochastic Differential Equations