PMID: 9433062Jan 20, 1998Paper

Stochastic modeling of the dynamics of CD4+ T-cell infection by HIV and some Monte Carlo studies

Mathematical Biosciences
W Y Tan, H Wu

Abstract

In this paper, we develop a stochastic model for the interaction between CD4+ T cells and the human immunodeficiency virus (HIV) virus by taking into account the basic biological mechanism as described in [1-4]. We studied this stochastic model through extensive Monte Carlo simulations. Our results show that, in some cases, there is a positive probability that the virus will be eliminated by the process. We have also shown that, at the earlier stage of the infection, the probability distributions of the CD4+ T cells and free HIV are skewed; however, these distributions will eventually converge to the Gaussian distributions after several years. A real-data example is given to illustrate the application of our model.

References

Jan 1, 1992·Memórias do Instituto Oswaldo Cruz·C J Struchiner, M E Halloran
Jan 1, 1989·Statistics in Medicine·W Y Tan, H Hsu
Oct 15, 1994·Statistics in Medicine·D Schenzle
Mar 1, 1993·Mathematical Biosciences·A S PerelsonR De Boer

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Citations

Dec 23, 2004·Journal of Mathematical Biology·H T Banks, D M Bortz
Mar 18, 2004·Bio Systems·Henry C Tuckwell, Frederic Y M Wan
Jul 7, 2000·Mathematical Biosciences·S Holtea, M Emerman
Apr 9, 2001·Mathematical Biosciences·A KaminaH Zhao
Dec 23, 2004·Bioinformatics·Andrea L Knorr, Ranjan Srivastava
Feb 10, 2011·PLoS Computational Biology·John E PearsonAlan S Perelson
Jun 14, 2012·PloS One·Srabanti ChaudhuryNikolai A Sinitstyn
Jan 15, 2013·Mathematical Biosciences and Engineering : MBE·Sukhitha W Vidurupola, Linda J S Allen
May 1, 2012·Drug Delivery and Translational Research·David F KatzMeng Kang
Mar 18, 2015·Viruses·Cecilia NoeckerVitaly V Ganusov
Dec 15, 2012·Journal of Theoretical Biology·Esteban A Hernandez-Vargas, Richard H Middleton
Jan 11, 2016·Journal of Mathematical Biology·Ada W C YanJames M McCaw
Aug 8, 2009·Journal of Theoretical Biology·Ha Youn LeeAlan S Perelson
Mar 21, 2007·Infection, Genetics and Evolution : Journal of Molecular Epidemiology and Evolutionary Genetics in Infectious Diseases·Antonio Carvajal-RodríguezDavid Posada
Jun 5, 2007·Evolution; International Journal of Organic Evolution·Paul Schliekelman
Nov 19, 2003·IEEE Transactions on Bio-medical Engineering·Annah M JeffreyIan K Craig
Aug 1, 2006·Journal of Theoretical Biology·Jane M Heffernan, Lindi M Wahl
Jul 12, 2005·Journal of Theoretical Biology·Jane M Heffernan, Lindi M Wahl
Dec 3, 2011·Journal of Theoretical Biology·T G VaughanA J Drummond
Oct 31, 2012·Journal of Theoretical Biology·Denis Fils Nkoa OnanaDjomangan Adama Ouattara
Mar 11, 2009·Anais Da Academia Brasileira De Ciências·Juliana M GrégioTakashi Yoneyama
Oct 16, 2002·Anais Da Academia Brasileira De Ciências·Marco A L Caetano, Takashi Yoneyama
Jan 31, 2019·PLoS Computational Biology·Sulav DuwalMax von Kleist
Jan 1, 2018·SIAM Journal on Applied Mathematics·Jessica M Conway, Alan S Perelson
Jan 18, 2017·Mathematical Biosciences and Engineering : MBE·Tyson Loudon, Stephen Pankavich

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