Analysis of Deterministic Cyclic Gene Regulatory Network Models with Delays

• Main Authors: Ahsen, Mehmet Eren (Author), Özbay, Hitay (Author), Niculescu, Silviu-Iulian (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
• Series: SpringerBriefs in Electrical and Computer Engineering,
• Subjects: Mathematics.; Gene expression.; System theory.; Biomathematics.; Control engineering.; Robotics.; Mechatronics.; Systems Theory, Control.; Mathematical and Computational Biology.; Gene Expression.; Control, Robotics, Mechatronics.

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...

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.