Mathematical analysis of HIV-1 dynamics in vivo

AS Perelson, PW Nelson - SIAM review, 1999 - SIAM
Mathematical models have proven valuable in understanding the dynamics of HIV-1
infection in vivo. By comparing these models to data obtained from patients undergoing …

Dynamics of HIV infection of CD4+ T cells

AS Perelson, DE Kirschner, R De Boer - Mathematical biosciences, 1993 - Elsevier
We examine a model for the interaction of HIV with CD4+ T cells that considers four
populations: uninfected T cells, latently infected T cells, actively infected T cells, and free …

Statistical methods for HIV dynamic studies in AIDS clinical trials

H Wu - Statistical methods in medical research, 2005 - journals.sagepub.com
Studies of HIV dynamics in AIDS research are very important for understanding
pathogenesis of HIV infection and for assessing the potency of antiviral therapies. Since the …

Population HIV-1 Dynamics In Vivo: Applicable Models and Inferential Tools for Virological Data from AIDS Clinical Trials

H Wu, AA Ding - Biometrics, 1999 - academic.oup.com
In this paper, we introduce a novel application of hierarchical nonlinear mixed-effect models
to HIV dynamics. We show that a simple model with a sum of exponentials can give a good …

A mathematical model for the dynamics of HIV-1 during the typical course of infection

AB Gumel, PN Shivakumar… - … , Theory, Methods and …, 2001 - asu.elsevierpure.com
A mathematical model based upon critical factors for predicting the number of cell-free
human immunodeficiency virus in the blood during typical course of infection is presented …

Relationships between antiviral treatment effects and biphasic viral decay rates in modeling HIV dynamics

AA Ding, H Wu - Mathematical biosciences, 1999 - Elsevier
Recently, potent combination antiviral therapies consisting of reverse transcriptase inhibitor
(RTI) drugs and protease inhibitor (PI) drugs, have been developed which can rapidly …

[图书][B] Nonlinear systems (vol. 1) dynamics and control

RR Mohler - 1991 - dl.acm.org
Nonlinear systems (vol. 1) | Guide books skip to main content ACM Digital Library home ACM
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[HTML][HTML] The stochastic dance of early HIV infection

SJ Merrill - Journal of computational and applied mathematics, 2005 - Elsevier
The stochastic nature of early HIV infection is described in a series of models, each of which
captures aspects of the dance of HIV during the early stages of infection. It is to this highly …

Modeling the interaction of HIV with cells of the immune system

SJ Merrill - Mathematical and statistical approaches to AIDS …, 1989 - Springer
Several mathematical models describing the interaction of HIV with T4 lymphocytes and
macrophages are presented. The primary problems addressed involve the decline of …

A comparison study of models and fitting procedures for biphasic viral dynamics in HIV-1 infected patients treated with antiviral therapies

AA Ding, H Wu - Biometrics, 2000 - academic.oup.com
The study of HIV dynamics is one of the most important developments in recent AIDS
research. It has led to a new understanding of the pathogenesis of HIV infection. But …