Analysis of Deterministic Cyclic Gene Regulatory Network Models with Delays

Nonfiction, Science & Nature, Science, Other Sciences, System Theory, Mathematics, Applied, Reference & Language, Reference
Cover of the book Analysis of Deterministic Cyclic Gene Regulatory Network Models with Delays by Mehmet Eren Ahsen, Hitay Özbay, Silviu-Iulian Niculescu, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Mehmet Eren Ahsen, Hitay Özbay, Silviu-Iulian Niculescu ISBN: 9783319156064
Publisher: Springer International Publishing Publication: February 25, 2015
Imprint: Birkhäuser Language: English
Author: Mehmet Eren Ahsen, Hitay Özbay, Silviu-Iulian Niculescu
ISBN: 9783319156064
Publisher: Springer International Publishing
Publication: February 25, 2015
Imprint: Birkhäuser
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Recent Advances in Computational Optimization by Mehmet Eren Ahsen, Hitay Özbay, Silviu-Iulian Niculescu
Cover of the book Mathematics as a Tool by Mehmet Eren Ahsen, Hitay Özbay, Silviu-Iulian Niculescu
Cover of the book Recent Results on Nonlinear Delay Control Systems by Mehmet Eren Ahsen, Hitay Özbay, Silviu-Iulian Niculescu
Cover of the book Human Interface and the Management of Information. Visual Information and Knowledge Management by Mehmet Eren Ahsen, Hitay Özbay, Silviu-Iulian Niculescu
Cover of the book Himalayan Mobilities by Mehmet Eren Ahsen, Hitay Özbay, Silviu-Iulian Niculescu
Cover of the book Absolute Dermatology Review by Mehmet Eren Ahsen, Hitay Özbay, Silviu-Iulian Niculescu
Cover of the book Fuzzy Differential Equations in Various Approaches by Mehmet Eren Ahsen, Hitay Özbay, Silviu-Iulian Niculescu
Cover of the book Syntactic n-grams in Computational Linguistics by Mehmet Eren Ahsen, Hitay Özbay, Silviu-Iulian Niculescu
Cover of the book Augmented Communication by Mehmet Eren Ahsen, Hitay Özbay, Silviu-Iulian Niculescu
Cover of the book Ecological Literature and the Critique of Anthropocentrism by Mehmet Eren Ahsen, Hitay Özbay, Silviu-Iulian Niculescu
Cover of the book Lifelong Technology-Enhanced Learning by Mehmet Eren Ahsen, Hitay Özbay, Silviu-Iulian Niculescu
Cover of the book Exposure to Microbiological Agents in Indoor and Occupational Environments by Mehmet Eren Ahsen, Hitay Özbay, Silviu-Iulian Niculescu
Cover of the book Permanent Sovereignty over Natural Resources by Mehmet Eren Ahsen, Hitay Özbay, Silviu-Iulian Niculescu
Cover of the book Mass Higher Education Development in East Asia by Mehmet Eren Ahsen, Hitay Özbay, Silviu-Iulian Niculescu
Cover of the book Human Geographies Within the Pale of Settlement by Mehmet Eren Ahsen, Hitay Özbay, Silviu-Iulian Niculescu
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy