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Analysis of Deterministic Cyclic Gene Regulatory Network Models with Delays

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 rev...

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Main Authors: Ahsen, Mehmet Eren. (Author, http://id.loc.gov/vocabulary/relators/aut), Özbay, Hitay. (http://id.loc.gov/vocabulary/relators/aut), Niculescu, Silviu-Iulian. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
Edition:1st ed. 2015.
Series:SpringerBriefs in Control, Automation and Robotics,
Subjects:
System theory.
Biomathematics.
Gene expression.
Control engineering.
Robotics.
Mechatronics.
Systems Theory, Control.
Mathematical and Computational Biology.
Gene Expression.
Control, Robotics, Mechatronics.
Online Access:https://doi.org/10.1007/978-3-319-15606-4
Table of Contents:
  • Preface
  • Introduction
  • Basic Tools from Systems and Control Theory
  • Functions with Negative Schwarzian Derivatives
  • Deterministic ODE-Based Model with Time Delay
  • Gene Regulatory Networks under Negative Feedback
  • Gene Regulatory Networks under Positive Feedback
  • Summary and Concluding Remarks
  • References.

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