10 citations · 35 across the 13 of their papers we have counts for
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Solving the chemical master equation for monomolecular reaction systems analytically: a Doi-Peliti path integral view
John J. Vastola
The chemical master equation (CME) is a fundamental description of interacting molecules commonly used to model chemical kinetics and noisy gene regulatory networks. Exact time-dep…
The chemical birth-death process with Gillespie noise
John J. Vastola
A nontrivial technical issue has long plagued the literature on stochastic path integrals: it is not clear which definition is correct in the case of multiplicative/state-dependent…
The chemical birth-death process with additive noise
John J. Vastola
The chemical birth-death process, whose chemical master equation (CME) is exactly solvable, is a paradigmatic toy problem often used to get intuition for how stochasticity affects…
The chemical Langevin equation: a path integral view of Gillespie's derivation
John J. Vastola, William R. Holmes
In 2000, Gillespie rehabilitated the chemical Langevin equation (CLE) by describing two conditions that must be satisfied for it yield a valid approximation of the chemical master…
Stochastic path integrals can be derived like quantum mechanical path integrals
John J. Vastola, William R. Holmes
Stochastic mechanics---the study of classical stochastic systems governed by things like master equations and Fokker-Planck equations---exhibits striking mathematical parallels to…