Turaeva Nigora, Oksengendler Boris L
Department of Biological Sciences, Webster University, Saint Louis, MO, United States.
Arifov Institute of ion-plasma and Laser Technologies, Tashkent, Uzbekistan.
Front Chem. 2020 Jan 31;8:38. doi: 10.3389/fchem.2020.00038. eCollection 2020.
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 ↔ are described by the master equation, which leads to a Poisson distribution with the variance equal to the average value . However, the consideration of the Löwdin mechanism as autocatalytic non-linear chemical reactions such as + ↔ 2 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.
一般来说，对于系统中发生的化学反应，当涨落不能被忽略地小时，有必要引入一个用于描述涨落概率分布的主方程。已经确定，像 ↔ 这种类型的单分子反应由主方程描述，该主方程导致方差等于平均值 的泊松分布。然而，将洛丁机制视为自催化非线性化学反应，如 + ↔ 2 ，以及相应的主方程，会导致涨落的非泊松概率分布。在本工作中，一级自催化已应用于DNA中自发突变的洛丁机制。通过一级自催化反应描述沿着链的互补核苷酸碱基之间的双质子转移，处于互变异构状态的质子的相应主方程变为非线性的，并且在非平衡条件下，这导致DNA中自发突变的非泊松分布。还表明，沿着链的连续协同一致质子的大涨落的积累可能产生更高的非线性，这可能对DNA中发生的一些生化过程产生重大影响。
