The Dynamics of Enzyme Inhibition Controlled by Piece-Wise Deterministic Markov Process

DOI10.1007/978-3-319-12145-1_19zbMath1345.92070OpenAlexW2186355688MaRDI QIDQ3460769

Andrzej Tomski

Publication date: 8 January 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-12145-1_19

zbMATH Keywords

asymptotic stabilityenzymepiecewise deterministic Markov processproper Markov semigroup

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Markov semigroups and applications to diffusion processes (47D07) Biochemistry, molecular biology (92C40) Applications of operator theory in chemistry and life sciences (47N60)

Related Items (3)

On a stochastic gene expression with pre-mRNA, mRNA and protein contribution ⋮ Existence of invariant densities for semiflows with jumps ⋮ Randomly switching evolution equations

Cites Work

• Chaos, fractals, and noise: Stochastic aspects of dynamics.
• Mathematical biology. Vol. 1: An introduction.
• Transcriptional stochasticity in gene expression
• Asymptotic behavior of distributions of mRNA and protein levels in a model of stochastic gene expression
• Long-time behaviour of a stochastic prey--predator model.
• Invariant densities for dynamical systems with random switching
• One-Parameter Semigroups for Linear Evolution Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Dynamics of Enzyme Inhibition Controlled by Piece-Wise Deterministic Markov Process