### The equilibrium states of a mtDNA mutagenesis: an analytics approach

- Pages
- 90-96

#### Abstract

The article is dedicated to the task of construction and analysis of exactly solvable mathematical model for the mutagenesis in mitochondrial DNA (mtDNA). We begin by demonstrating that the average amounts of all four types of nucleotides (adenine A, guanine G, cytosine C and thymine T) is determined by a system of four O. D. E.’s of first order, and that this system is further reducible to a single linear inhomogeneous O. D. E. of third order. Next, we classify all possible solutions to that equation and derive an explicit general form of equilibrium (i. e. asymptotic) states of mtDNA as a function of a mitochondrial mutational spectrum.