Delay-induced Degrade-and-fire Oscillations in Small Genetic Circuits

Overview

Journal Phys Rev Lett

Publisher American Physical Society

Specialty Biophysics

Date 2009 Mar 5

PMID 19257639

Citations 56

Authors

William Mather

Matthew R Bennett

Jeff Hasty

Lev S Tsimring

Affiliations

Soon will be listed here.

Abstract

Robust oscillations have recently been observed in a synthetic gene network composed of coupled positive and negative feedback loops. Here we use deterministic and stochastic modeling to investigate how a small time delay in such regulatory networks can lead to strongly nonlinear oscillations that can be characterized by "degrade-and-fire" dynamics. We show that the period of the oscillations can be significantly greater than the delay time, provided the circuit components possess strong activation and tight repression. The variability of the period is strongly influenced by fluctuations near the oscillatory minima, when the number of regulatory molecules is small.

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