Transit time distribution for biochemical networks far from equilibrium: amplification of the probability of net transformation due to multiple reflections

Article Abstract:

A study was conducted to analyze a nonequilibrium biochemical network characterized by transit time distribution. The network was assumed to be made up of two subsystems connected to each other and the environment. The probability distribution of the time needed for a molecular species to cross the system was then determined. Results indicated that the average crossing time of the whole system increased linearly with the number of reflection events within the system.

Biochemistry

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Random activation energy model and disordered kinetics, from static to dynamic disorder

Article Abstract:

A unified path integral approach for random rate processes with random energy barriers that include systems with static and dynamic disorder as particular cases is suggested. Expressions of the average survival function for all types of disorder and their implications in the evaluation of kinetic parameters from experimental data is discussed.

Science & research, Chemical reaction, Rate of, Chemical kinetics, Integrals, Path, Path integrals, Chemical energy

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Transition event statistics in genetics and disordered kinetics. Theoretical approaches for extracting rate distributions from experimental data

Article Abstract:

The analogies between the theory of rate processes in disordered systems and the overdispersed molecular clocks in evolutionary biology are studied. It is found that the models for overdispersed molecular clocks are equivalent to those of the random-rate or random channel models used in disordered kinetics.

Genetic research, Molecular clock (Genetics)

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