An attempt at the computer-aided management of HIV infection

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:204

Article

Ida, A. ; Oharu, Y. ; Sankey, O.

关键词: mathematical model;    time-dependent evolution equation;    immune system;    semi-implicit product formula;    continuous model;    numerical model;    HIV infection process;    antiretroviral therapy;    computer-aided management;   

DOI  :  10.1016/j.cam.2006.04.058

来源: Elsevier

【 摘 要 】

The immune system is a complex and diverse system in the human body and HIV virus disrupts and destroys it through extremely complicated but surprisingly logical process. The purpose of this paper is to make an attempt to present a method for the computer-aided management of HIV infection process by means of a mathematical model describing the dynamics of the host pathogen interaction with HIV-1. Treatments for the AIDS disease must be changed to more efficient ones in accordance with the disease progression and the status of the immune system. The level of progression and the status are represented by parameters which are governed by our mathematical model. It is then exhibited that our model is numerically stable and uniquely solvable. With this knowledge, our mathematical model for HIV disease progression is formulated and physiological interpretations are provided. The results of our numerical simulations are visualized, and it is seen that our results agree with medical aspects from the point of view of antiretroviral therapy. It is then expected that our approach will take to address practical clinical issues and will be applied to the computer-aided management of antiretroviral therapies. (C) 2006 Elsevier B.V. All rights reserved.

【 授权许可】

Free