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2012 ; 85
(1 Pt 1
): 011901
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Noise effects in nonlinear biochemical signaling
#MMPMID22400585
Bostani N
; Kessler DA
; Shnerb NM
; Rappel WJ
; Levine H
Phys Rev E Stat Nonlin Soft Matter Phys
2012[Jan]; 85
(1 Pt 1
): 011901
PMID22400585
show ga
It has been generally recognized that stochasticity can play an important role in
the information processing accomplished by reaction networks in biological cells.
Most treatments of that stochasticity employ Gaussian noise even though it is a
priori obvious that this approximation can violate physical constraints, such as
the positivity of chemical concentrations. Here, we show that even when such
nonphysical fluctuations are rare, an exact solution of the Gaussian model shows
that the model can yield unphysical results. This is done in the context of a
simple incoherent-feedforward model which exhibits perfect adaptation in the
deterministic limit. We show how one can use the natural separation of time
scales in this model to yield an approximate model, that is analytically
solvable, including its dynamical response to an environmental change.
Alternatively, one can employ a cutoff procedure to regularize the Gaussian
result.
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