A Delay Mathematical Model for HIV Dynamics in HIV-Specific Helper Cells

Author(s):  
Carla M. A. Pinto ◽  
Ana R. M. Carvalho
2018 ◽  
Vol 26 (6) ◽  
pp. 859-873 ◽  
Author(s):  
H. Thomas Banks ◽  
Sergey I. Kabanikhin ◽  
Olga I. Krivorotko ◽  
Darya V. Yermolenko

Abstract In this paper a problem of specifying HIV-infection parameters and immune response using additional measurements of the concentrations of the T-lymphocytes, the free virus and the immune effectors at fixed times for a mathematical model of HIV dynamics is investigated numerically. The problem of the parameter specifying of the mathematical model (an inverse problem) is reduced to a problem of minimizing an objective function describing the deviation of the simulation results from the experimental data. A genetic algorithm for solving the least squares function minimization problem is implemented and investigated. The results of a numerical solution of the inverse problem are analyzed.


2016 ◽  
Vol 434 (1) ◽  
pp. 837-857 ◽  
Author(s):  
Jianfeng Luo ◽  
Wendi Wang ◽  
Hongyan Chen ◽  
Rui Fu

1997 ◽  
Vol 59 (4) ◽  
pp. 725-745 ◽  
Author(s):  
Ole Lund ◽  
Ole Søgaard Lund ◽  
Gregers Gram ◽  
Susanne Dam Nielsen ◽  
Kristian Schønning ◽  
...  

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