Title :
Dynamics analysis of an amended HBV infection model with a simulation for anti-HBV infection therapy
Author :
Chen Xiao ; Sun Kaiyun ; Qiu Jianlong ; Chen Xiangyong ; Yang Chengdong ; Zhang Ancai
Author_Institution :
Sch. of Inf., Linyi Univ., Linyi, China
Abstract :
This paper introduces an amended hepatitis B virus (HBV) infection model with an immune response term and an alanine aminotransferase (ALT) term. It has been proved that if a basic virus reproductive number R0 <; 1, then the virus free equilibrium point of the model is globally asymptotically stable; if R0 > 1, then the immune depletion equilibrium point of the model is globally asymptotically stable. This result implies that if an HBV infected patient has R0 <; 1, then the patient will eventually recover even if infected with a large amount of virus. Simulating the dynamics of evolutions of serum HBV DNA levels and ALT levels for 115 Asians and 113 non-Asians HBeAg positive chronic hepatitis B (CHB) patients´ Tenofovir Disoproxil Fumarate (TDF) 48 weeks therapy reported by C. Pan et al., the results show that TDF anti-HBV infection therapy may not only suppress the HBV DNA levels via destructing patients´ infected hepatocytes but also activate patients´ ability of cytokine-midiated non-cytolytic HBV clearance, which clears HBV directly without damaging patients´ hepatocytes.
Keywords :
DNA; asymptotic stability; diseases; patient treatment; ALT; CHB; HBeAg positive chronic hepatitis B patients; TDF; Tenofovir Disoproxil Fumarate; alanine aminotransferase term; amended HBV infection model; amended hepatitis B virus infection model; anti-HBV infection therapy simulation; cytokine-midiated noncytolytic HBV clearance; dynamics analysis; global asymptotic stability; immune depletion equilibrium point; immune response term; patient infected hepatocytes; serum HBV DNA level evolution; virus free equilibrium point; virus reproductive number; Analytical models; DNA; Educational institutions; Immune system; Liver; Mathematical model; Medical treatment; Anti-HBV infection therapy; Basic virus reproductive number; Globally asymptotically stable; HBV infection model; Numerical simulation;
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
DOI :
10.1109/ChiCC.2014.6897087