PMID: 8713663Mar 1, 1996Paper

A model for treatment strategy in the chemotherapy of AIDS

Bulletin of Mathematical Biology
Denise E Kirschner, Glenn Webb

Abstract

Mathematical models are developed for the chemotherapy of AIDS. The models are systems of differential equations describing the interaction of the HIV infected immune system with AZT chemotherapy. The models produce the three types of qualitative clinical behavior: an uninfected steady state, an infected steady state (latency) and a progression to AIDS state. The effect of treatment is to perturb the system from progression to AIDS back to latency. Simulation of treatment schedules is provided for the consideration of treatment regimes. The following issues of chemotherapy are addressed: (i) daily frequency of treatment, (ii) early versus late initiation of treatment and (iii) intermittent treatment with intervals of no treatment. The simulations suggest the following properties of AZT chemotherapy: (i) the daily period of treatment does not affect the outcome of the treatment, (ii) treatment should not begin until after the final decline of T cells begins (not until the T cell population falls below approximately 300 mm-3) and then, it should be administered immediately and (iii) a possible strategy for treatment which may cope with side effects and/or resistance, is to treat intermittently with chemotherapy followed by interr...Continue Reading

References

Apr 16, 1992·The New England Journal of Medicine·N M GrahamJ P Phair
Jun 6, 1992·JAMA : the Journal of the American Medical Association·D J AndersonK H Mayer
Sep 15, 1992·Annals of Internal Medicine·G X McLeod, S M Hammer
Apr 1, 1992·Mathematical Biosciences·L Cojocaru, Z Agur
Mar 7, 1992·Journal of Theoretical Biology·A R McLean, M A Nowak
May 15, 1990·Annals of Internal Medicine·J RuedyJ S Montaner
Oct 1, 1988·Scientific American·R R Redfield, D S Burke
Oct 1, 1988·Scientific American·W A Haseltine, F Wong-Staal
Mar 1, 1993·Mathematical Biosciences·A S PerelsonR De Boer
May 15, 1993·Lancet·S LagakosD Stein
Apr 13, 1994·JAMA : the Journal of the American Medical Association·J D LundgrenJ O Nielsen
Jul 15, 1993·Thrombosis Research·J Hauptmann, B Kaiser
Feb 1, 1993·Mechanisms of Ageing and Development·R MehrZ Agur
Jul 1, 1997·Bulletin of Mathematical Biology·D E Kirschner, G F Webb
Jun 24, 1998·Journal of Acquired Immune Deficiency Syndromes and Human Retrovirology : Official Publication of the International Retrovirology Association·D E KirschnerA S Perelson

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Citations

Jul 1, 1997·Bulletin of Mathematical Biology·D E Kirschner, G F Webb
Jan 6, 2007·Journal of Mathematical Biology·O Krakovska, L M Wahl
Jun 21, 2007·Bulletin of Mathematical Biology·O Krakovska, L M Wahl
Apr 22, 2011·Bulletin of Mathematical Biology·Michael Y Li, Aaron G Lim
Aug 6, 2004·Bulletin of Mathematical Biology·Seema H BajariaDenise E Kirschner
May 17, 2005·Bulletin of Mathematical Biology·R J Smith, L M Wahl
Mar 25, 2004·Journal of Theoretical Biology·Helen Moore, Natasha K Li
Sep 6, 2001·Computers in Biology and Medicine·A B GumelM L Garba
May 11, 2000·Mathematical Biosciences·R V Culshaw, S Ruan
Mar 4, 2000·Mathematical Biosciences·P W NelsonA S Perelson
Jun 24, 1997·Proceedings of the National Academy of Sciences of the United States of America·S BonhoefferM A Nowak
Dec 5, 2012·PloS One·Santosh RamkissoonAlan P Matthews
Jan 15, 2013·Mathematical Biosciences and Engineering : MBE·Divya Thakur, Belinda Marchand
Oct 1, 2007·Drug Discovery Today. Disease Models·Silvia Daun, Gilles Clermont
Feb 18, 2010·Molecular Systems Biology·Christian L Althaus, Rob J De Boer
Mar 12, 2005·IEEE Transactions on Bio-medical Engineering·Shuzhi Sam GeTong Heng Lee
Nov 19, 2003·IEEE Transactions on Bio-medical Engineering·Annah M JeffreyIan K Craig
Apr 2, 2015·Mathematical Biosciences·Drew PosnyChairat Modnak
Mar 4, 2014·Journal of Theoretical Biology·Aaron G Lim, Philip K Maini
Sep 6, 2012·Journal of Theoretical Biology·Xiunan Wang, Wendi Wang
Feb 2, 1999·Theoretical Population Biology·D Kirschner
Oct 16, 2002·Anais Da Academia Brasileira De Ciências·Marco A L Caetano, Takashi Yoneyama
Jun 6, 2002·Journal of Acquired Immune Deficiency Syndromes : JAIDS·Seema H BajariaDenise Kirschner
May 25, 2006·European Journal of Epidemiology·Seyed M Moghadas
Jan 12, 2007·Journal of Mathematical Biology·Z Mukandavire, W Garira
May 15, 2015·Mathematical Biosciences and Engineering : MBE·Yu YangDongmei Xiao

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