Sufficiency verification of HIV-1 pathogenesis based on multi-agent simulation
GECCO '05 Proceedings of the 7th annual conference on Genetic and evolutionary computation
Methodology to determine the evolution of asymptomatic HIV population using fuzzy set theory
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
HIV dynamics: modeling, data analysis, and optimal treatment protocols
Journal of Computational and Applied Mathematics - Special issue: Mathematics applied to immunology
The stochastic dance of early HIV infection
Journal of Computational and Applied Mathematics - Special issue: Mathematics applied to immunology
Rival approaches to mathematical modelling in immunology
Journal of Computational and Applied Mathematics
An Adaptive Multimeme Algorithm for Designing HIV Multidrug Therapies
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
Computational Statistics & Data Analysis
A Hybrid Agent-Based Model of Chemotaxis
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part I: ICCS 2007
A system theoretic study on a treatment of AIDS patient by achieving long-term non-progressor
Automatica (Journal of IFAC)
Stability analysis of an HIV/AIDS epidemic model with treatment
Journal of Computational and Applied Mathematics
Brief paper: Enhancement of the immune system in HIV dynamics by output feedback
Automatica (Journal of IFAC)
Discrete time recurrent neural network observer
IJCNN'09 Proceedings of the 2009 international joint conference on Neural Networks
Systems biology: the interplay of systems and control research and biology?
CCDC'09 Proceedings of the 21st annual international conference on Chinese Control and Decision Conference
HIV dynamics: Modeling, data analysis, and optimal treatment protocols
Journal of Computational and Applied Mathematics - Special issue: Mathematics applied to immunology
The stochastic dance of early HIV infection
Journal of Computational and Applied Mathematics - Special issue: Mathematics applied to immunology
Analysis of the dynamics of a delayed HIV pathogenesis model
Journal of Computational and Applied Mathematics
Modeling the dynamics of HIV infection with conformon-P systems and cellular automata
WMC'07 Proceedings of the 8th international conference on Membrane computing
ACS'10 Proceedings of the 10th WSEAS international conference on Applied computer science
Global dynamics of an HIV-1 infection model with distributed intracellular delays
Computers & Mathematics with Applications
A multi-agent system for the modelling of the HIV infection
KES-AMSTA'11 Proceedings of the 5th KES international conference on Agent and multi-agent systems: technologies and applications
Stability and Hopf bifurcation of a HIV infection model with CTL-response delay
Computers & Mathematics with Applications
International Journal of Applied Mathematics and Computer Science
PPSN'06 Proceedings of the 9th international conference on Parallel Problem Solving from Nature
Original article: Mathematical analysis of an HIV model with impulsive antiretroviral drug doses
Mathematics and Computers in Simulation
A comparative study on modeling strategies for immune system dynamics under HIV-1 infection
ICARIS'05 Proceedings of the 4th international conference on Artificial Immune Systems
Discretization approach and nonparametric modeling for long-term HIV dynamic model
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part IV
Brief Estimation of HIV/AIDS parameters
Automatica (Journal of IFAC)
On the modeling of long-term HIV-1 infection dynamics
Mathematical and Computer Modelling: An International Journal
Mathematical and Computer Modelling: An International Journal
Cellular automata with fuzzy parameters in microscopic study of positive HIV individuals
Mathematical and Computer Modelling: An International Journal
A fractional-order differential equation model of HIV infection of CD4+ T-cells
Mathematical and Computer Modelling: An International Journal
On the numerical simulation of a class of HIV models
Mathematical and Computer Modelling: An International Journal
A competition model of HIV with recombination effect
Mathematical and Computer Modelling: An International Journal
A study of latency, reactivation and apoptosis throughout HIV pathogenesis
Mathematical and Computer Modelling: An International Journal
The Laplace Adomian Decomposition Method for solving a model for HIV infection of CD4+T cells
Mathematical and Computer Modelling: An International Journal
Optimal therapy scheduling for a simplified HIV infection model
Automatica (Journal of IFAC)
An optimal strategy for HIV multitherapy
Journal of Computational and Applied Mathematics
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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 antiretroviral drug therapy, it has been possible to determine many quantitative features of the interaction between HIV-1, the virus that causes AIDS, and the cells that are infected by the virus. The most dramatic finding has been that even though AIDS is a disease that occurs on a time scale of about 10 years, there are very rapid dynamical processes that occur on time scales of hours to days, as well as slower processes that occur on time scales of weeks to months. We show how dynamical modeling and parameter estimation techniques have uncovered these important features of HIV pathogenesis and impacted the way in which AIDS patients are treated with potent antiretroviral drugs.