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標(biāo)題: Titlebook: Analysis of Deterministic Cyclic Gene Regulatory Network Models with Delays; Mehmet Eren Ahsen,Hitay ?zbay,Silviu-Iulian Nicule Book 2015 [打印本頁]

作者: Adentitious    時間: 2025-3-21 16:54
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作者: 乞丐    時間: 2025-3-21 23:18
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
作者: Unsaturated-Fat    時間: 2025-3-22 02:06
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
作者: 粘連    時間: 2025-3-22 05:50

作者: DAMN    時間: 2025-3-22 09:57
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
作者: 金絲雀    時間: 2025-3-22 14:26
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
作者: 持久    時間: 2025-3-22 17:47

作者: 寬宏大量    時間: 2025-3-23 01:04
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
作者: 陳舊    時間: 2025-3-23 02:08
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
作者: flutter    時間: 2025-3-23 08:00
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
作者: Allergic    時間: 2025-3-23 10:57
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
作者: OREX    時間: 2025-3-23 17:16
SpringerBriefs in Electrical and Computer Engineeringhttp://image.papertrans.cn/a/image/156346.jpg
作者: chapel    時間: 2025-3-23 19:45

作者: notion    時間: 2025-3-24 01:32

作者: Overstate    時間: 2025-3-24 04:47
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.
作者: indifferent    時間: 2025-3-24 10:30

作者: Comedienne    時間: 2025-3-24 12:10

作者: 顯赫的人    時間: 2025-3-24 18:55

作者: Resign    時間: 2025-3-24 21:57

作者: overreach    時間: 2025-3-25 02:34
https://doi.org/10.1007/978-3-319-15606-4Asymptotic Stability; Bi-stability; Gene regulatory network; Hill functions; Negative Schwarzian derivat
作者: 忍受    時間: 2025-3-25 04:52

作者: Parameter    時間: 2025-3-25 08:19

作者: 雜色    時間: 2025-3-25 15:29
Functions with Negative Schwarzian Derivatives,This chapter is devoted to the analysis on functions with NSD (negative Schwarzian derivatives). First, basic properties of functions with NSD are given and a classification result is proven for such functions. Then, an analysis is made on the fixed points for functions with NSD.
作者: 共和國    時間: 2025-3-25 18:37
Summary and Concluding Remarks,In this chapter, the analysis results for GRNs under negative and positive feedback are discussed and concluding remarks are made. Some possible future research directions are also pointed out.
作者: 標(biāo)準(zhǔn)    時間: 2025-3-25 21:02
Book 2015n introductory chapter provides some insights into molecular biology and GRNs. The mathematical tools necessary for studying the GRN model are then reviewed, in particular Hill functions and Schwarzian derivatives. One chapter is devoted to the analysis of GRNs under negative feedback with time dela
作者: Aura231    時間: 2025-3-26 01:58

作者: 完成    時間: 2025-3-26 05:00

作者: evince    時間: 2025-3-26 11:12
Time Zone Differences and Service Tradee. Then, delay independent global stability, and instability, conditions are derived. For a delay dependent stability condition the secant condition is extended to cover systems with time delays. Special stability conditions are derived for homogenous GRNs where nonlinearities are Hill functions.
作者: 善辯    時間: 2025-3-26 12:42

作者: 易改變    時間: 2025-3-26 17:05

作者: 有發(fā)明天才    時間: 2025-3-26 21:37
Gene Regulatory Networks Under Positive Feedback,e system has a unique equilibrium, generically all solutions converge to this point. When there are three equilibrium points, the system shows a bistable behavior. Homogenous GRNs under delayed positive feedback are analyzed, and their stability and bistability are determined from the parameters of the Hill function used in the nonlinear coupling.
作者: Allodynia    時間: 2025-3-27 02:19

作者: intolerance    時間: 2025-3-27 07:39

作者: ADAGE    時間: 2025-3-27 11:33
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作者: OFF    時間: 2025-3-28 00:07
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作者: aristocracy    時間: 2025-3-28 11:47
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