University of California, San Diego
Delay- Induced Stochastic
Oscillations
in Gene Regulation
Lev
S. Tsimring
Abstract:
We
study the stochastic properties of gene regulation taking into
account the non-Markovian
character of gene transcription and
translation. The time delay in
protein production or degradation may
change the behavior of the
system from stationary to oscillatory even
when a deterministic
counterpart of the stochastic system exhibits no
oscillations. Assuming
significant decorrelation on the time scale of
gene transcription, we
deduce a truncated master equation of the
reactive system and derive an
analytical expression for the
autocorrelation function of
the protein concentration. For weak feedback
the theory agrees well with
numerical simulations based on the modified
direct Gillespie method.