8 citations · 8 across the 1 of their papers we have counts for
3 papers
q-bio.QM2019
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…
cond-mat.stat-mech2019★ 8 cited
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…
q-bio.NC2018
Optimal models of decision-making in dynamic environments
Zachary P. Kilpatrick, William R. Holmes, Tahra L. Eissa +1
Nature is in constant flux, so animals must account for changes in their environment when making decisions. How animals learn the timescale of such changes and adapt their decision…