On detailed balance and reversibility of semi-Markov processes and single-molecule enzyme kinetics

DOI10.1063/1.2432065zbMath1121.60090OpenAlexW2049761345MaRDI QIDQ3442175

Hong Qian, Hongyun Wang

Publication date: 16 May 2007

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

Full work available at URL: https://semanticscholar.org/paper/59049f06bfa86451b511dfc832e8159af6f007ec

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Markov renewal processes, semi-Markov processes (60K15) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (10)

Renewal-reward process formulation of motor protein dynamics ⋮ A hierarchical kinetic theory of birth, death and fission in age-structured interacting populations ⋮ Large deviations for the empirical measure and empirical flow of Markov renewal processes with a countable state space ⋮ On balance relations for irreversible chemical reaction networks ⋮ Deriving a kinetic uncertainty relation for piecewise deterministic processes: from classical to quantum ⋮ Fluctuation theorems for discrete kinetic models of molecular motors ⋮ The explicit form of the rate function for semi-Markov processes and its contractions ⋮ Fixation times in differentiation and evolution in the presence of bottlenecks, deserts, and oases ⋮ A matrix computational approach to kinesin neck linker extension ⋮ The fluctuation theorem for currents in semi-Markov processes

Cites Work

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• Mathematical theory of nonequilibrium steady states. On the frontier of probability and dynamical systems.
• On aggregated Markov processes
• A note on the age of the absorbing semi-Markov process
• Mathematical formalism for isothermal linear irreversibility
• Stochastic approach to chemical kinetics
• Irreversibility and Generalized Noise
• Brownian motion in a field of force and the diffusion model of chemical reactions
• New Approach to Nonequilibrium Processes

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