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Collective Oscillation Period of Inter-coupled Biological Negative Cyclic Feedback Oscillators by Wang, Yongqiang; Hori, Yutaka; Hara, Shinji; Doyle, Francis J. is a scholarly article available to read on EtoBox.

What is Collective Oscillation Period of Inter-coupled Biological Negative Cyclic Feedback Oscillators about?

A number of biological rhythms originate from networks comprised of multiple cellular oscillators. But analytical results are still lacking on the collective oscillation period of inter-coupled gene regulatory oscillators, which, as has been reported, may be different from that of an autonomous oscillator. Based on cyclic feedback oscillators, we analyze the collective oscillation pattern of coupled cellular oscillators. First we give a condition under which the oscillator network exhibits oscillatory and synchronized behavior. Then we estimate the collective oscillation period based on a novel multivariable harmonic balance technique. Analytical results are derived in terms of biochemical parameters, thus giving insight into the basic mechanism of biological oscillation and providing guidance in synthetic biology design.

Author

Wang, Yongqiang; Hori, Yutaka; Hara, Shinji; Doyle, Francis J.

Published

2014

Language

EN