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Stochasticity plays important roles in regulation of biochemical reaction networks when the copy numbers of molecular species are small. Studies based on Stochastic Simulation Algorithm (SSA) has shown that a basic reaction system can display stochastic focusing (SF) by increasing the sensitivity of the network as a result of the signal noise. Although SSA has been widely used to study stochastic...
Gene regulatory networks depict the interactions between genes, proteins, and other components of the cell. These interactions often are stochastic that can influence behavior of the cells. Discrete Chemical Master Equation (dCME) provides a general framework for understanding the stochastic nature of these networks. However solving dCME is challenging due to the enormous state space, one effective...
This paper deals with the stabilization of fuzzy stochastic systems with multiplicative noise subject to actuator saturation. The Itô's differential equation is used to present the nonlinear stochastic system. Moreover, the Takagi-Sugeno (T-S) fuzzy model is employed to approximate a nonlinear continuous system with multiplicative noise. The actually physical capacity of the actuator is limited and...
Stochasticity plays central role in molecular networks of small copy numbers, including those important in protein synthesis and gene regulation. The combination of copy numbers of molecular species defines the microscopic state of molecular interactions. With this formulation, nonlinear reactions can be effectively modeled through chemical master equations. However, currently little is known about...
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