64 citations · 535 across the 76 of their papers we have counts for
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Phase Reduction of Stochastic Biochemical Oscillators
Paul C. Bressloff, James N. MacLaurin
A common method for analyzing the effects of molecular noise in chemical reaction networks is to approximate the underlying chemical master equation by a Fokker-Planck equation, an…
Synchronization of stochastic hybrid oscillators driven by a common switching environment
Paul Bressloff, James MacLaurin
Many systems in biology, physics and chemistry can be modeled through ordinary differential equations, which are piecewise smooth, but switch between different states according to…
A variational method for analyzing stochastic limit cycle oscillators
Paul Bressloff, James MacLaurin
We introduce a variational method for analyzing limit cycle oscillators in driven by Gaussian noise. This allows us to derive exact stochastic differential equations…
On the Hamiltonian structure of large deviations in stochastic hybrid systems
Paul Bressloff, Olivier Faugeras
We develop the connection between large deviation theory and more applied approaches to stochastic hybrid systems by highlighting a common underlying Hamiltonian structure. A stoch…