We consider a protein that negatively regulates the rate with which a cell grows. Since less
growth means less protein dilution, this mechanism forms a positive feedback loop on the …

Splicing cascades that alter gene products posttranscriptionally also affect expression
dynamics. We study a class of processes and associated distributions that emerge from …

Being the most complex physical system in the universe, life, at all scales requires the
understanding of the massive complexity including its origin, structure, dynamic, adaptation …

Bacterial cell persistence, crucial for survival under adverse conditions like antibiotic
exposure, is intrinsically linked to stochastic fluctuations in gene expression. Certain genes …

Abstract Motivation The Chemical Master Equation (CME) is a set of linear differential
equations that describes the evolution of the probability distribution on all possible …

We consider a fluctuation test experiment in which cell colonies were grown from a single
cell until they reach a given population size and were then exposed to treatment. While they …

Abstract The paper considers Kolmogorov–Feller equation for the probability density of a
Markov process on a half-axis, which arises in important problems of biology. This process …

Bacterial cell persistence, crucial for survival under adverse conditions like antibiotic
exposure, is intrinsically linked to stochastic fluctuations in gene expression. Certain genes …

The expression of individual genes into functional protein molecules is a noisy dynamical
process. Here we model the protein concentration as a jump-drift process which combines …

Рассмотрено уравнение Колмогорова–Феллера, описывающее плотность марковского
процесса на полуоси, возникающего в важных задачах биологии. Этот процесс состоит …