Quantifying stochastic processes is essential to understand many natural phenomena,
particularly in biology, including the cell-fate decision in developmental processes as well as …

An innovative theoretical framework for stochastic dynamics based on the decomposition of
a stochastic differential equation (SDE) into a dissipative component, a detailed-balance …

In light of ever apparent limitation of the current dominant cancer mutation theory, a
quantitative hypothesis for cancer genesis and progression, endogenous molecular-cellular …

Exploring the source of free energy is of practical use for thermodynamical systems. In the
classical regime, the free energy change is independent of magnetism, as the Lorentz force …

We obtain stochastic dynamics from a system-plus-bath mechanism as an extension of the
Caldeira-Leggett (CL) model in the classical regime. An effective magnetic field and …

Quantifying the escape rate from a meta-stable state is essential to understand a wide range
of dynamical processes. Kramers' classical rate formula is the product of an exponential …

Chern–Simons gauge field theory has provided a natural framework to gain deep insight
about many novel phenomena in two-dimensional condensed matter. We investigate the …

A commentary has been published: Response to “Comment on 'Construction of the
landscape for multi-stable systems: Potential landscape, quasi-potential, A-type integral and …

An innovative theoretical framework for stochastic dynamics based on a decomposition of a
stochastic differential equation (SDE) has been developed with an evident advantage in …