Abstract
Based on our previous researches, this paper introduces a new differential equation model to describe the dynamics of traditional Chinese medicines (TCM) + nucleoside analogues (NA) anti-HBV infection treatment for the chronic hepatitis B (CHB) patients. This model has five state variables. A treatment-activated specific term in this model is in charge of directly clearing patients’ HBV rather than damaging patients’ hepatocytes. As an application, we use this model to simulate the dynamics of TCM + NA anti-HBV infection personalized combination treatments. The numerical simulations and analysis show that the TCM + NA combination treatments are able to activate patients’ abilities of cytokine-midiated noncytolytic HBV clearance.
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References
WHO, Hepatitis B: Fact Sheet, World Health Organization (October 2000), http://www.who.int/mediacentre/factsheets/fs204/en/ (accessed August 2011)
Maddret, W.C.: Hepatitis B: an important public health issue. J. Med. Virol. 61, 362–366 (2000)
Lau, G.K.K., Piratvisuth, T., Luo, K.X., et al.: Peginterferon Alfa-2a, Lamivudine, and the Combination for HBeAg-Positive Chronic Hepatitis B. New England Journal of Medicine 352, 2682–2695 (2005)
Dienstag, J.L., Schiff, E.R., Wright, T.L., et al.: Lamivudine as initial treatment for chronic hepatitis in the United States. N. Engl. J. Med. 34, 1256–1263 (1999)
Marcellin, P., Chang, T.T., Lim, S.: G., et al.: Long-term efficacy and safetyof adefovir dipivoxil in HBeAg + chronic hepatitis B patients: inceasing serologic, virologic, and biochemecal response over time (abstract). Hepatology. 40(suppl.1), 665A (2004)
Papathecodoridis, G.V., Hadziyannis, S.J.: Diagnosis and management of pre-core mutant chronic hepatitis B. J. Viral Hepat. 125, 562–567 (2001)
Hadziyannis, S.J., Vassilopoulos, D.: Hepatitis B e antigen-negative chronic hepatitis B. Hepatology 34, 617–624 (2001)
Ye, Y., Min, L., Zhang, Q.: Evaluation of 48 week adefovior dipvoxl (AD) and Chinese hebral medicine plus AD treatment in HBeAg(+) chronic hepatitis B Chinese patients: A double-bind randomized trial(Abstract). In: Hepatology (Supplement: The 62st Annual Meeting of the American Association for the Study of Liver Diseases: The Liver Meeting, 54 (S1) (2011) (in press)
Nowak, M.A., May, R.M.: Virus dynamics: Mathematical principles of immunology and virology. Oxford University, Oxford (2000)
Nowak, M.J., Bonhoeffer, S., Hill, A.M., et al.: Viral dynamics in hepatitis B virus infection. Proc. Natl. Acad. Sci. USA. 93, 4398–4402 (1996)
Leenbeer, P.D., Smith, H.L.: Virus dynamics: A global analysis. SIAM Journal on Applied Mathematics 63, 1313–1327 (2003)
Min, L., Su, Y., Kuang, Y.: Mathematical analysis of a basic model of virus infection with application to HBV infection. Rocky Mountain J. of Mathematics 38, 1573–1585 (2008)
Gourley, S.A., Kuang, Y., Nagy, J.D.: Dynamics of a delay differential model of hepatitis B virus infection. J. Biological Dynamics 2, 140–153 (2008)
Eikenberry, S., Hews, S., Nagy, J.D., Kuang, Y.: The dynamics of a delay model of HBV infection with logistic hepatocyte growth. Math. Biosc. and Eng. 6, 283–299 (2009)
Zheng, Y., Min, L., Ji, Y., Su, Y., Kuang, Y.: Global Stability of Endemic Equilibrium Point of Basic Virus Infection Model with Application to HBV Infection. J. Systems Science and Complexity 23, 1221–1230 (2010)
Feld, J., Lee, J., Locarnini, S.: New targets and possible new therapeutic approaches in the chemotherapy of chronic hepatitis B. Perspectives in Clinical Hepatology 38, 545–553 (2003)
Perelson, A.S.: Modelling viral and immune system dynamics. Nature Reviews Immunology 2, 28–36 (2002)
Bataller, R., Brenner, D.A.: Liver fibrosis. J. Clin. Invest. 115, 209–218 (2005)
Hellerstein, M., Hanley, M.B., Cesar, D., et al.: Directly measureed kinetics of circulating T lymphocyres in normal and HIV-1-infected humans. Nature Medicine 5, 83–89 (1999)
Stockham, S.L., Scott, M.A.: Fundamentals of Veterinary Clinical Pathology. Iowa State University Press (2002)
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Chen, X., Min, L., Ye, Y., Zheng, Y. (2011). Modeling and Simulation for Dynamics of Anti-HBV Infection Therapy. In: Lee, G. (eds) Advances in Automation and Robotics, Vol. 2. Lecture Notes in Electrical Engineering, vol 123. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25646-2_73
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DOI: https://doi.org/10.1007/978-3-642-25646-2_73
Publisher Name: Springer, Berlin, Heidelberg
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