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Literature DB >> 15614552

A parameter sensitivity methodology in the context of HIV delay equation models.

Abstract

A sensitivity methodology for nonlinear delay systems arising in one class of cellular HIV infection models is presented. Theoretical foundations for a typical sensitivity investigation and illustrative computations are given.

Entities: Disease

Mesh：

Year: 2004 PMID： 15614552 DOI： 10.1007/s00285-004-0299-x

Source DB: PubMed Journal: J Math Biol ISSN： 0303-6812 Impact factor: 2.259

37 in total

1. Improved estimates for HIV-1 clearance rate and intracellular delay.

Authors: J E Mittler; M Markowitz; D D Ho; A S Perelson
Journal: AIDS Date: 1999-07-30 Impact factor: 4.177

Review 2. Modelling viral and immune system dynamics.

Authors: Alan S Perelson
Journal: Nat Rev Immunol Date: 2002-01 Impact factor: 53.106

3. The dependence of viral parameter estimates on the assumed viral life cycle: limitations of studies of viral load data.

Authors: A L Lloyd
Journal: Proc Biol Sci Date: 2001-04-22 Impact factor: 5.349

4. Mathematical analysis of delay differential equation models of HIV-1 infection.

Authors: Patrick W Nelson; Alan S Perelson
Journal: Math Biosci Date: 2002 Jul-Aug Impact factor: 2.144

5. Incorporation of variability into the modeling of viral delays in HIV infection dynamics.

Authors: H T Banks; D M Bortz; S E Holte
Journal: Math Biosci Date: 2003-05 Impact factor: 2.144

6. Sensitivity analysis of a nonlinear lumped parameter model of HIV infection dynamics.

Authors: D M Bortz; P W Nelson
Journal: Bull Math Biol Date: 2004-09 Impact factor: 1.758

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

Authors: W Y Tan; H Wu
Journal: Math Biosci Date: 1998-01-15 Impact factor: 2.144

8. Rapid production and clearance of HIV-1 and hepatitis C virus assessed by large volume plasma apheresis.

Authors: B Ramratnam; S Bonhoeffer; J Binley; A Hurley; L Zhang; J E Mittler; M Markowitz; J P Moore; A S Perelson; D D Ho
Journal: Lancet Date: 1999-11-20 Impact factor: 79.321

9. Application of linear and nonlinear time series modeling to heart rate dynamics analysis.

Authors: D J Christini; F M Bennett; K R Lutchen; H M Ahmed; J M Hausdorff; N Oriol
Journal: IEEE Trans Biomed Eng Date: 1995-04 Impact factor: 4.538

10. Modeling plasma virus concentration during primary HIV infection.

Authors: M A Stafford; L Corey; Y Cao; E S Daar; D D Ho; A S Perelson
Journal: J Theor Biol Date: 2000-04-07 Impact factor: 2.691

9 in total

1. TIME DELAY SYSTEMS WITH DISTRIBUTION DEPENDENT DYNAMICS.

Authors: H T Banks; Sava Dediu; Hoan K Nguyen
Journal: Annu Rev Control Date: 2007-01-01 Impact factor: 6.091

2. Global sensitivity analysis used to interpret biological experimental results.

Authors: Angela M Jarrett; Yaning Liu; N G Cogan; M Yousuff Hussaini
Journal: J Math Biol Date: 2014-07-25 Impact factor: 2.259

3. A model of HIV-1 infection with two time delays: mathematical analysis and comparison with patient data.

Authors: Kasia A Pawelek; Shengqiang Liu; Faranak Pahlevani; Libin Rong
Journal: Math Biosci Date: 2011-11-13 Impact factor: 2.144

4. ON IDENTIFIABILITY OF NONLINEAR ODE MODELS AND APPLICATIONS IN VIRAL DYNAMICS.

Authors: Hongyu Miao; Xiaohua Xia; Alan S Perelson; Hulin Wu
Journal: SIAM Rev Soc Ind Appl Math Date: 2011-01-01 Impact factor: 10.780

5. Mathematical model of multivalent virus-antibody complex formation in humans following acute and chronic HIV infections.

Authors: Stanca M Ciupe
Journal: J Math Biol Date: 2014-09-05 Impact factor: 2.259