Fitting evolutionary process of matrix protein 2 family from influenza A virus using analytical solution of differential equation

Shao-Min Yan, Zhen-Chong Li, Guang Wu
DOI: 10.4236/jbise.2009.28085                

Abstract

The evolution of protein family is a process along the time course, thus any mathematical methods that can describe a process over time could be possible to describe an evolutionary process. In our previously concept-initiated study, we attempted to use the differential equation to describe the evolution of hemagglutinins from influenza A viruses, and to discuss various issues related to the building of differential equation. In this study, we attempted not only to use the differential equation to describe the evolution of matrix protein 2 family from influenza A virus, but also to use the analytical solution to fit its evolutionary process. The results showed that the fitting was possible and workable. The fitted model parameters provided a way to further determine the evolutionary dynamics and kinetics, a way to more precisely predict the time of occurrence of mutation, and a way to figure out the interaction between protein family and its environment.

Keywords

Amino-Acid Pair Predictability; Differential Equation; Evolution; Fitting; Influenza A Virus; Matrix Protein 2

Conflicts of Interest

The authors declare no conflicts of interest.

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