Abstract
Three problems are considered. The first is the relation between ensemble-averaged state probabilities in a random walk with absorption and time-averaged state probabilities in the corresponding closed diagram. The second problem is concerned with random walks on diagrams with cycles in which the cycle completion rates and probabilities may depend on the "remainder" after the previously completed cycle. The final topic is a study of cycle completions prior to absorption for diagrams that involve both cycles and absorption (e.g., a cycling enzyme that binds a dead-end inhibitor or poison in one of its states).
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Selected References
These references are in PubMed. This may not be the complete list of references from this article.
- Hill T. L., Chen Y. D. Stochastics of cycle completions (fluxes) in biochemical kinetic diagrams. Proc Natl Acad Sci U S A. 1975 Apr;72(4):1291–1295. doi: 10.1073/pnas.72.4.1291. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Hill T. L. Interrelations between random walks on diagrams (graphs) with and without cycles. Proc Natl Acad Sci U S A. 1988 May;85(9):2879–2883. doi: 10.1073/pnas.85.9.2879. [DOI] [PMC free article] [PubMed] [Google Scholar]