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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Mehmet Eren Ahsen,Hitay ?zbay,Silviu-Iulian NiculeIncludes a concise introduction to the necessary molecular biology for mathematicians.Focuses on a deterministic, ODE-based model of GRNs, rather than the more difficult-to-analyze models based on Boo

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SpringerBriefs in Electrical and Computer Engineeringhttp://image.papertrans.cn/a/image/156346.jpg

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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 illustrate the motivation behind the model considered.

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https://doi.org/10.1007/978-3-319-15606-4Asymptotic Stability; Bi-stability; Gene regulatory network; Hill functions; Negative Schwarzian derivat

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