EAN: 9783319156057

SPRINGERBRIEFS IN ELECTRICAL AND COMPUTER ENGIN...

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.

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