title: Fitting evolutionary process of influenza A virus nucleoproteins using analytical solution of system of differential equations.
abstract: 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 2008 to 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.
authors.affiliation: State Key Laboratory of Non-food Biomass Enzyme Technology, National Engineering Research Center for Non-food Biorefinery, Guangxi Key Laboratory of Biorefinery, Guangxi Academy of Sciences, 98 Daling Road, Nanning, Guangxi, 530007, China.
authors.forename: Shao-Min
authors.initials: SM
authors.lastname: Yan
authors.forename: Guang
authors.initials: G
authors.lastname: Wu
mesh_terms: D000596:Amino Acids / Q000378:metabolism; D019143:Evolution, Molecular; D006207:Half-Life; D009980:Influenza A virus / Q000235:genetics*; D008954:Models, Biological; D009698:Nucleoproteins / Q000235:genetics*; D013997:Time Factors; D014764:Viral Proteins / Q000235:genetics*
chemical_list: D000596:Amino Acids; D009698:Nucleoproteins; D014764:Viral Proteins