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Non-poissonian Distribution of Point Mutations in DNA.


ABSTRACT: In general, for chemical reactions occurring in systems, where fluctuations are not negligibly small, it is necessary to introduce a master equation for distribution of probability of fluctuations. It has been established that the monomolecular reactions of a type as A ? X are described by the master equation, which leads to a Poisson distribution with the variance equal to the average value N 0. However, the consideration of the Löwdin mechanism as autocatalytic non-linear chemical reactions such as A + X ? 2X and the corresponding master equation lead to a non-Poissonian probability distribution of fluctuations. In the presented work, first-order autocatalysis has been applied to the Löwdin's mechanism of spontaneous mutations in DNA. Describing double proton transfers between complimentary nucleotide bases along the chain by first-order autocatalytic reactions, the corresponding master equation for protons in tautomeric states becomes non-linear, and at non-equilibrium conditions this leads to the non-Poissonian distribution of spontaneous mutations in DNA. It is also suggested that the accumulation of large fluctuations of successive cooperative concerted protons along the chain may produce higher non-linearities which could have a significant impact on some biochemical processes, occurring in DNA.

SUBMITTER: Turaeva N 

PROVIDER: S-EPMC7005246 | biostudies-literature | 2020

REPOSITORIES: biostudies-literature

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Non-poissonian Distribution of Point Mutations in DNA.

Turaeva Nigora N   Oksengendler Boris L BL  

Frontiers in chemistry 20200131


In general, for chemical reactions occurring in systems, where fluctuations are not negligibly small, it is necessary to introduce a master equation for distribution of probability of fluctuations. It has been established that the monomolecular reactions of a type as <i>A</i> ↔ <i>X</i> are described by the master equation, which leads to a Poisson distribution with the variance equal to the average value <i>N</i> <sub>0</sub>. However, the consideration of the Löwdin mechanism as autocatalytic  ...[more]

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