A stochastic vs deterministic perspective on the timing of cellular events
Cells are the fundamental units of life, and like all life forms, they change over time. Changes
in cell state are driven by molecular processes; of these many are initiated when molecule …
in cell state are driven by molecular processes; of these many are initiated when molecule …
Optimal Bayesian estimation of Gaussian mixtures with growing number of components
Optimal Bayesian estimation of Gaussian mixtures with growing number of components Page 1
Bernoulli 29(2), 2023, 1195–1218 https://doi.org/10.3150/22-BEJ1495 Optimal Bayesian …
Bernoulli 29(2), 2023, 1195–1218 https://doi.org/10.3150/22-BEJ1495 Optimal Bayesian …
Predicting DNA kinetics with a truncated continuous-time Markov chain method
Predicting the kinetics of reactions involving nucleic acid strands is a fundamental task in
biology and biotechnology. Reaction kinetics can be modeled as an elementary step …
biology and biotechnology. Reaction kinetics can be modeled as an elementary step …
Stochastic chemical kinetics of cell fate decision systems: From single cells to populations and back
Stochastic chemical kinetics is a widely used formalism for studying stochasticity of chemical
reactions inside single cells. Experimental studies of reaction networks are generally …
reactions inside single cells. Experimental studies of reaction networks are generally …
Algorithms for Markov Binomial Chains
We study algorithms to analyze a particular class of Markov population processes that is
often used in epidemiology. More specifically, Markov binomial chains are the model that …
often used in epidemiology. More specifically, Markov binomial chains are the model that …
The timing of cellular events: a stochastic vs deterministic perspective
Changes in cell state are driven by key molecular events whose timing can often be
measured experimentally. Of particular interest is the time taken for the levels of RNA or …
measured experimentally. Of particular interest is the time taken for the levels of RNA or …
Physical mechanisms of exit dynamics in microchannels of nonequilibrium transport systems
YQ Wang, DS Wei, LW Zhang, TY Zhang… - … Journal of Modern …, 2024 - World Scientific
In the field of molecular nonequilibrium transports, physical mechanisms of multiple reaction
dynamics of these systems are the core of deep understanding complex reactions and …
dynamics of these systems are the core of deep understanding complex reactions and …
Analysis of Markov jump processes under terminal constraints
Many probabilistic inference problems such as stochastic filtering or the computation of rare
event probabilities require model analysis under initial and terminal constraints. We propose …
event probabilities require model analysis under initial and terminal constraints. We propose …
The pathway elaboration method for mean first passage time estimation in large continuous-time Markov chains with applications to nucleic acid kinetics
S Zolaktaf, F Dannenberg, M Schmidt… - arXiv preprint arXiv …, 2021 - arxiv.org
For predicting the kinetics of nucleic acid reactions, continuous-time Markov chains (CTMCs)
are widely used. The rate of a reaction can be obtained through the mean first passage time …
are widely used. The rate of a reaction can be obtained through the mean first passage time …
Analysis of Markovian population processes
M Backenköhler - 2022 - publikationen.sulb.uni-saarland.de
Markovian population models are a powerful paradigm to describe processes of
stochastically interacting agents. Their dynamics is given by a continuous-time Markov …
stochastically interacting agents. Their dynamics is given by a continuous-time Markov …