2 citations · 2 across the 6 of their papers we have counts for
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Exact analytic expressions for discrete first-passage time probability distributions in Markov networks
Jaroslav Albert
The first-passage time (FPT) is the time it takes a system variable to cross a given boundary for the first time. In the context of Markov networks, the FPT is the time a random wa…
A detailed model of gene promoter dynamics reveals the entry into productive elongation to be a highly punctual process
Jaroslav Albert
Gene transcription is a stochastic process that involves thousands of reactions. The first set of these reactions, which happen near a gene promoter, are considered to be the most…
Stochastic fluctuations in protein interaction networks are nearly Poissonian
Jaroslav Albert
Gene regulatory networks are comprised of biochemical reactions, which are inherently stochastic. Each reaction channel contributes to this stochasticity in different measure. In t…
Exact derivation and practical application of a hybrid stochastic simulation algorithm for large gene regulatory networks
Jaroslav Albert
We present a highly efficient and accurate hybrid stochastic simulation algorithm (HSSA) for the purpose of simulating a subset of biochemical reactions of large gene regulatory ne…
Dimensionality reduction via path integration for computing mRNA distributions
Jaroslav Albert
Inherent stochasticity in gene expression leads to distributions of mRNA copy numbers in a population of identical cells. These distributions are determined primarily by the multit…
Path integral approach to generating functions for multistep post-transcription and post-translation processes and arbitrary initial conditions
Jaroslav Albert
Stochastic fluctuations in the copy number of gene products have perceivable effects on the functioning of gene regulatory networks (GRN). The Master equation (ME) provides a theor…