Construction of stochastic hybrid path integrals using operator methods

  title={Construction of stochastic hybrid path integrals using operator methods},
  author={Paul C. Bressloff},
  journal={Journal of Physics A: Mathematical and Theoretical},
  • P. Bressloff
  • Published 14 December 2020
  • Mathematics
  • Journal of Physics A: Mathematical and Theoretical
Stochastic hybrid systems involve the coupling between discrete and continuous stochastic processes. They are finding increasing applications in cell biology, ranging from modeling promoter noise in gene networks to analyzing the effects of stochastically-gated ion channels on voltage fluctuations in single neurons and neural networks. We have previously derived a path integral representation of solutions to the associated differential Chapman–Kolmogorov equation, based on integral… 
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