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Modeling and Simulation for Dynamics of Anti-HBV Infection Personalized Therapy
CHEN Xiao 1,Min Lequan 2 * #,ZHENG Yu 1,YE Yongan 3
1.School of Automation,University of Science and Technology Beijing
2.Shool of Automation,University of Science and Technology Beijing
3.Dongzhimen Hospital, Beijing University of Chinese Medicine
*Correspondence author
#Submitted by
Subject:
Funding: the National NatureScience Fundation of China (No.No. 60674059), 11th 5-Year Plan Key ResearchProject of China (No.No.2008ZX10005-006)
Opened online:31 August 2011
Accepted by: none
Citation: CHEN Xiao,Min Lequan,ZHENG Yu .Modeling and Simulation for Dynamics of Anti-HBV Infection Personalized Therapy[OL]. [31 August 2011] http://en.paper.edu.cn/en_releasepaper/content/4438370
 
 
This paper introduces a differential equation with 5 state variables to describe the anti-hepatitis B virus (HBV) infection therapy dynamics which clears chronic hepatitis B (CHB) patients' HBV without damaging patients' hepatocytes. This equation has two equilibrium points Q1 and Q2, representing infection free state and persistent infection state, respectively. This paper proves that if the basic virus reproductive number R0 of our model is less than 1, then the infection free equilibrium point Q1 is globally attractive. This result suggests that if an anti-virus infection therapy makes an infected patient's R0 < 1, then the patient will eventually recover even if infected with a large amount of virus. As an~application, we use this model to simulate the dynamics of a CHB patient's anti-HBV infection combination therapy with traditional Chinese herbal medicine (TCM), TCM plus adefovir (AD), and TCM plus entecavir (EN). Our numerical simulation results described well the patient's HBV DNA and ALT levels. Further numerical simulation showed that only for a treatment period of about 4 years will all infected hepatocytes be replaced by normal ones.
Keywords:Dynamic systems; chronic HBV infection; mathematical modeling; basic virus reproductive number; virus free equilibrium; global attraction; numerical simulation
 
 
 

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