Titlebook: Analysis of Deterministic Cyclic Gene Regulatory Network Models with Delays; Mehmet Eren Ahsen,Hitay ?zbay,Silviu-Iulian Nicule Book 2015

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書(shū)目名稱(chēng)Analysis of Deterministic Cyclic Gene Regulatory Network Models with Delays讀者反饋




書(shū)目名稱(chēng)Analysis of Deterministic Cyclic Gene Regulatory Network Models with Delays讀者反饋學(xué)科排名

乞丐

Basic Tools from Systems and Control Theory, fundamental feedback stability analysis techniques. Delay-differential equations are considered, and the small gain theorem is given for a delay independent stability condition for linear feedback systems. The Nyquist criterion is given in order to derive the necessary and sufficient conditions for

Unsaturated-Fat

Deterministic ODE-Based Model with Time Delay, equivalent simplified mathematical model of the GRN model is proposed through some interpretations of the interconnection scheme. Next, the stability conditions for the linearized system around an equilibrium point are discussed. Finally, a specific example (the repressilator) is given to illustrat

粘連

DAMN

Gene Regulatory Networks Under Positive Feedback,f a single function determined from the nonlinear connections, we show that the system may have three equilibrium points in the positive cone. When the system has a unique equilibrium, generically all solutions converge to this point. When there are three equilibrium points, the system shows a bista

金絲雀

Transferorientierte Schlussbetrachtung,, most popular classification and regression methods are briefly mentioned to give an idea on how data collected using microarrays can be used in modeling gene regulatory networks. The chapter ends with the formal definition of the continuous-time ODE-based model with delay to be analyzed in the res

持久

寬宏大量

Digital Divide: How India and China Stack Up equivalent simplified mathematical model of the GRN model is proposed through some interpretations of the interconnection scheme. Next, the stability conditions for the linearized system around an equilibrium point are discussed. Finally, a specific example (the repressilator) is given to illustrat

陳舊

Time Zone Differences and Service Tradef a single function determined from the nonlinear connections, we show that in this case the system has a unique equilibrium point in the positive cone. Then, delay independent global stability, and instability, conditions are derived. For a delay dependent stability condition the secant condition i

flutter

Poulomi Bhattacharya,Vivekananda Mukherjeef a single function determined from the nonlinear connections, we show that the system may have three equilibrium points in the positive cone. When the system has a unique equilibrium, generically all solutions converge to this point. When there are three equilibrium points, the system shows a bista