39 citations · 161 across the 11 of their papers we have counts for
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q-bio.MN2011★ 4 cited
The transition between stochastic and deterministic behavior in an excitable gene circuit
Robert C. Hilborn, Benjamin Brookshire, Jenna Mattingly +2
We explore the connection between a stochastic simulation model and an ordinary differential equations (ODEs) model of the dynamics of an excitable gene circuit that exhibits noise…
q-bio.MN2009★ 9 cited
Stochastic Coherence in an Oscillatory Gene Circuit Model
Robert C. Hilborn, Jessie D. Erwin
We show that noise-induced oscillations in a gene circuit model display stochastic coherence, that is, a maximum in the regularity of the oscillations as a function of noise amplit…