ANALYTICAL SOLUTION FOR AN IN-HOST VIRAL INFECTION MODEL WITH TIME-INHOMOGENEOUS RATES

被引：64

作者：

Shang, Yilun ^{[1
]}

机构：

[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

来源：

ACTA PHYSICA POLONICA B | 2015年 / 46卷 / 08期

关键词：

DIFFERENTIAL EQUATIONS; MATHEMATICAL-ANALYSIS; POPULATION-DYNAMICS; IMMUNE-RESPONSES; HIV-1; ALGEBRA; DELAY; VIVO;

D O I：

10.5506/APhysPolB.46.1567

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present the analysis of a time-inhomogeneous Markov chain model based on the in vivo viral infection dynamics. The exact solution of a general in-host model with time-dependent rates is obtained by using the Lie-theoretic approach. The results provide both an improvement in numerical efficiency and the potential for analytical solution of other biological processes without clear symmetry.

引用

页码：1567 / 1577

页数：11

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