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

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发表于 2025-3-21 16:54:36 | 显示全部楼层 |阅读模式
期刊全称Analysis of Deterministic Cyclic Gene Regulatory Network Models with Delays
影响因子2023Mehmet Eren Ahsen,Hitay Özbay,Silviu-Iulian Nicule
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发行地址Includes 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
学科分类SpringerBriefs in Electrical and Computer Engineering
图书封面Titlebook: Analysis of Deterministic Cyclic Gene Regulatory Network Models with Delays;  Mehmet Eren Ahsen,Hitay Özbay,Silviu-Iulian Nicule Book 2015
影响因子.This brief examines a deterministic, ODE-based model for gene regulatory networks (GRN) that incorporates nonlinearities and time-delayed feedback. An 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 delays and a special case of a homogenous GRN is considered. Asymptotic stability analysis of GRNs under positive feedback is then considered in a separate chapter, in which conditions leading to bi-stability are derived. Graduate and advanced undergraduate students and researchers in control engineering, applied mathematics, systems biology and synthetic biology will find this brief to be a clear and concise introduction to the modeling and analysis of GRNs..
Pindex Book 2015
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发表于 2025-3-21 23:18:00 | 显示全部楼层
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
发表于 2025-3-22 02:06:04 | 显示全部楼层
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
发表于 2025-3-22 05:50:26 | 显示全部楼层
发表于 2025-3-22 09:57:33 | 显示全部楼层
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
发表于 2025-3-22 14:26:35 | 显示全部楼层
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
发表于 2025-3-22 17:47:41 | 显示全部楼层
发表于 2025-3-23 01:04:03 | 显示全部楼层
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
发表于 2025-3-23 02:08:42 | 显示全部楼层
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
发表于 2025-3-23 08:00:52 | 显示全部楼层
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
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