Solving the chemical master equation for monomolecular reaction systems and beyond: a Doi-Peliti path integral view

DOI10.1007/s00285-021-01670-7zbMath1475.92080arXiv1911.00978OpenAlexW3207049350WikidataQ113905456 ScholiaQ113905456MaRDI QIDQ2244935

John J. Vastola

Publication date: 12 November 2021

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.00978

zbMATH Keywords

path integralchemical master equationcontinuous-time Markov processexplicit solution formulaDoi-Peliti

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Applications of branching processes (60J85) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Path integrals in quantum mechanics (81S40) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Related Items (2)

Accurate dynamics from self-consistent memory in stochastic chemical reactions with small copy numbers ⋮ Duality relations between spatial birth–death processes and diffusions in Hilbert space

Uses Software

• MESMER

Cites Work

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