66 citations · 362 across the 19 of their papers we have counts for
19 papers
Analysis of a detailed multi-stage model of stochastic gene expression using queueing theory and model reduction
Muhan Ma, Juraj Szavits-Nossan, Abhyudai Singh +1
We introduce a biologically detailed, stochastic model of gene expression describing the multiple rate-limiting steps of transcription, nuclear pre-mRNA processing, nuclear mRNA ex…
TASEPy: a Python-based package to iteratively solve the inhomogeneous exclusion process
Luca Ciandrini, Richmond L. Crisostomo, Juraj Szavits-Nossan
The totally asymmetric simple exclusion process (TASEP) is a paradigmatic lattice model for one-dimensional particle transport subject to excluded-volume interactions. Solving the…
Solving stochastic gene expression models using queueing theory: a tutorial review
Juraj Szavits-Nossan, Ramon Grima
Stochastic models of gene expression are typically formulated using the chemical master equation, which can be solved exactly or approximately using a repertoire of analytical meth…
Uncovering the effect of RNA polymerase steric interactions on gene expression noise: analytical distributions of nascent and mature RNA numbers
Juraj Szavits-Nossan, Ramon Grima
The telegraph model is the standard model of stochastic gene expression, which can be solved exactly to obtain the distribution of mature RNA numbers per cell. A modification of th…
Current-density relation in the exclusion process with dynamic obstacles
Juraj Szavits-Nossan, Bartlomiej Waclaw
We investigate the totally asymmetric simple exclusion process (TASEP) in the presence of obstacles that dynamically bind and unbind from the lattice. The model is motivated by bio…
Power series method for solving TASEP-based models of mRNA translation
Simon Scott, Juraj Szavits-Nossan
We develop a method for solving mathematical models of messenger RNA (mRNA) translation based on the totally asymmetric simple exclusion process (TASEP). Our main goal is to demons…