65 citations · 324 across the 16 of their papers we have counts for
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Analytic solutions for stochastic hybrid models of gene regulatory networks
Pavel Kurasov, Delio Mugnolo, Verena Wolf
Discrete-state stochastic models are a popular approach to describe the inherent stochasticity of gene expression in single cells. The analysis of such models is hindered by the fa…
Surgery principles for the spectral analysis of quantum graphs
Gregory Berkolaiko, James B. Kennedy, Pavel Kurasov +1
We present a systematic collection of spectral surgery principles for the Laplacian on a metric graph with any of the usual vertex conditions (natural, Dirichlet or -type), whic…
Stochastic Hybrid Models of Gene Regulatory Networks - A PDE Approach
Pavel Kurasov, Alexander Lück, Delio Mugnolo +1
A widely used approach to describe the dynamics of gene regulatory networks is based on the chemical master equation, which considers probability distributions over all possible co…