Fitting Evolutionary Process of Influenza A Virus Nucleoproteins Using Analytical Solution of System of Differential Equations

摘要

Very recently we explored the possibility of using differential equations to describe the evolution of proteins. In this study we used the amino-acid pair predictability to quantify 1709 nucleoproteins of influenza A viruses isolated from 1918 to 2008to represent their evolutionary process, thereafter we used the analytical solution of system of differential equations to fit the evolution of the nucleoprotein family. The results showed that the analytical solution could fit the nucleoprotein evolution and the obtained parameters were useful for timing of future mutations. Our approach provided a way to quantitatively analyze protein dynamics and evolution.