Mathematical Modeling of Genetic Evolution

Genetic evolution originates the diversity in the information contained by a Deoxyribonucleic acid (DNA). The main role of DNA molecules is the long-term storage of genetic instructions used in development and functioning of most of the living organisms. DNA changes its information from one generation to its next. However, the rate of this alteration in information is not acknowledged through any scientific principles. This paper introduces a mathematical model of genetic evolution, which suggests that the entire information carried by the mother DNA is vanished after an infinite number of generations. There is a golden flow of information up to fourteenth generation maintaining the golden ratio at an average, and significant information flow up to twenty second or twenty third generation, which also holds the golden ratio, representing similarity between the model and the natural phenomena. By expanding this golden ratio, it is found that the information is very close to perish after thirty sixth generation.