In clinical practice,many cirrhosis scores based on alanine aminotransferase(ALT)levels exist.Although the most recent direct acting antivirals(DAAs)reduce fibrosis and ALT levels,the Hepatitis C virus(HCV)is not alwa...In clinical practice,many cirrhosis scores based on alanine aminotransferase(ALT)levels exist.Although the most recent direct acting antivirals(DAAs)reduce fibrosis and ALT levels,the Hepatitis C virus(HCV)is not always removed.In this paper,we study a mathematical model of the HCV virus,which takes into account the role of the immune system,to investigate the ALT behavior during therapy.We find five equilibrium points and analyze their stability.A sufficient condition for global asymptotical stability of the infeetion-free equilibrium is obtained and local asymptotical stability conditions are given for the immune-free infection and cytotoxic T lymphocytes(CTL)response equilibria.The stability of the infection equilibrium with the full immune response is numerically performed.展开更多
文摘In clinical practice,many cirrhosis scores based on alanine aminotransferase(ALT)levels exist.Although the most recent direct acting antivirals(DAAs)reduce fibrosis and ALT levels,the Hepatitis C virus(HCV)is not always removed.In this paper,we study a mathematical model of the HCV virus,which takes into account the role of the immune system,to investigate the ALT behavior during therapy.We find five equilibrium points and analyze their stability.A sufficient condition for global asymptotical stability of the infeetion-free equilibrium is obtained and local asymptotical stability conditions are given for the immune-free infection and cytotoxic T lymphocytes(CTL)response equilibria.The stability of the infection equilibrium with the full immune response is numerically performed.
