One of the major challenges in modern biology is to understand how the molecular
components of a living cell operate in a highly noisy environment. What are the specific …

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 …

In this work, we study the path integral in a position-deformed Heisenberg algebra with
quadratic deformation which implements both minimal momentum and maximal length …

Stochastic hybrid systems involve the coupling between discrete and continuous stochastic
processes. They are finding increasing applications in cell biology, ranging from modeling …

Stochastic hybrid systems involve a coupling between a discrete Markov chain and a
continuous stochastic process. If the latter evolves deterministically between jumps in the …

The present paper shows that Edward Nelson's stochastic mechanics approach for quantum
mechanics can be derived from the two classical elastically colliding particles with masses M …

Position-deformed Heisenberg algebra with maximal length uncertainty has recently been
proven to induce strong quantum gravitational fields at the Planck scale (2022 J. Phys. A …

We construct path integrals for stochastic hybrid reaction-diffusion (RD) processes, in which
the reaction terms depend on the discrete state of a randomly switching environment. We …