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What is Time delay

Chapter 3
Handbook of Research on Systems Biology Applications in Medicine
Past memory (history).
Published in Chapter:
Mathematical Description of Time Delays in Pathways Cross Talk
S. Nikolov (Institute of Mechanics and Biomechanics, Bulgaria)
Copyright: © 2009 |Pages: 47
DOI: 10.4018/978-1-60566-076-9.ch003
Abstract
In this chapter we investigate how the inclusion of time delay alters the dynamic properties of (a) delayed protein cross talk model, (b) time delay model of RNA silencing (also known as RNA interference), and (c) time delay in ERK and STAT interaction. The consequences of a time delay on the dynamics of those systems are analysed using Hopf’s theorem and Lyapunov-Andronov theory. Our analytical calculations predict that time delay acts as a key bifurcation parameter. This is confirmed by numerical simulations.
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Chapter 8
Modeling Gene Regulatory Networks with Delayed Stochastic Dynamics
time interval between the occurrence of a chemical reaction, and the appearance of the products of that reaction in the system.
Published in Chapter: Modeling Gene Regulatory Networks with Delayed Stochastic Dynamics; From: Handbook of Research on Computational Methodologies in Gene Regulatory Networks
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