Stochastics of cycle completions (fluxes) in biochemical kinetic diagrams. | Zendy

Terrell L. Hill | Zendy; Y D Chen | Zendy

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Stochastics of cycle completions (fluxes) in biochemical kinetic diagrams.

Author(s) -

Terrell L. Hill,

Y D Chen

Publication year - 1975

Publication title -

proceedings of the national academy of sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 5.011

H-Index - 771

eISSN - 1091-6490

pISSN - 0027-8424

DOI - 10.1073/pnas.72.4.1291

Subject(s) - statistical physics , diagram , phase diagram , reaction rate constant , monte carlo method , constant (computer programming) , thermodynamics , catalytic cycle , state (computer science) , kinetic energy , mathematics , chemistry , computer science , physics , phase (matter) , kinetics , statistics , algorithm , catalysis , quantum mechanics , programming language , biochemistry

Over a long time period, the rate constants for cycle completions (one-way fluxes) in steady-state biochemical diagrams can be expressed explicitly in terms of the elementary rate constants for transitions between states of the diagram. These cycle rate constants determine the mean one-way fluxes in the diagram and also fluctuations about the means. These properties are confirmed by Monte Carlo computer simulations on special cases. Two other topics are considered briefly: the effect of the starting state or states on the numbers of cycle completions in computer simulation runs; and the more detailed stochastic approach required if individual cycle completions are to be followed (i.e., if the "long time" restriction is removed).

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