Recent groundbreaking discovery by the author relates Poisson spike trains in dynamics of neural networks expressed by fractional multidimensional Fokker-Plank stochastic differential equation (fm FP SDE) to dynamics of DNA replication that can be expressed also by fm FP SDE and may result in formation in CpG and non-CpG islands, non-canonical bases, and repeats of repeats of G-quadruplexes. Benoit Mandelbrot was the first to apply fractional approach to statistical character of neural networks a year after FitzHugh’s application of FP equation with complex functional term to neural networks as an alternative to Hodkin-Huxley model. The present abstract discusses application of the author’s multidimensional time model to tracing similar dynamics of fm FP SDE in DNA replication and repair, e.g. methylation, or de- methylation, where the transport is controlled by fm advection dispersion equation.

Application of fundator’s multidimensional time model to finding trace of fractional multidimensional Fokker-Plank equation dynamics in DNA replication in formation of  CpG islands, analog bases, and repeats of G-quadruplexes

ACS Fall 2021

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