期刊全称 | Analysis of Deterministic Cyclic Gene Regulatory Network Models with Delays | 影响因子2023 | Mehmet Eren Ahsen,Hitay Özbay,Silviu-Iulian Nicule | 视频video | | 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 |  | 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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