Analysis of Deterministic Cyclic Gene Regulatory Network Models with Delays

by Silviu-Iulian Niculescu, Hitay Ozbay, Mehmet Eren Ahsen, et al.

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...

• Format: Paperback
• Language: English
• ISBN: 3319156055
• ISBN13: 9783319156057
• Release Date: March 2015
• Publisher: Birkhauser
• Length: 94 Pages
• Weight: 0.36 lbs.
• Dimensions: 0.2" x 6.1" x 9.2"