[图书][B] Stochastic processes in cell biology
PC Bressloff - 2014 - Springer
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 …
components of a living cell operate in a highly noisy environment. What are the specific …
Solving the chemical master equation for monomolecular reaction systems and beyond: a Doi-Peliti path integral view
JJ Vastola - Journal of Mathematical Biology, 2021 - Springer
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 …
commonly used to model chemical kinetics and noisy gene regulatory networks. Exact time …
Path integral in position-deformed heisenberg algebra with maximal length uncertainty
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 …
quadratic deformation which implements both minimal momentum and maximal length …
Construction of stochastic hybrid path integrals using operator methods
PC Bressloff - Journal of Physics A: Mathematical and …, 2021 - iopscience.iop.org
Stochastic hybrid systems involve the coupling between discrete and continuous stochastic
processes. They are finding increasing applications in cell biology, ranging from modeling …
processes. They are finding increasing applications in cell biology, ranging from modeling …
Coherent spin states and stochastic hybrid path integrals
PC Bressloff - Journal of Statistical Mechanics: Theory and …, 2021 - iopscience.iop.org
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 …
continuous stochastic process. If the latter evolves deterministically between jumps in the …
Classical Elastic Two-Particle Collision Energy Conservation using Edward Nelson's Energy, Double Diffusion and Special Relativity
J Beumee, H Rabitz - arXiv preprint arXiv:2212.02637, 2022 - arxiv.org
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 …
mechanics can be derived from the two classical elastically colliding particles with masses M …
Path integral in position-deformed Heisenberg algebra with strong quantum gravitational measurement
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 …
proven to induce strong quantum gravitational fields at the Planck scale (2022 J. Phys. A …
Path integrals for stochastic hybrid reaction-diffusion processes
PC Bressloff - arXiv preprint arXiv:2103.07759, 2021 - arxiv.org
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 …
the reaction terms depend on the discrete state of a randomly switching environment. We …