The Establishment of the Model of HIV Transmission Between Individuals
[1]
Chuqiao Luo, School of Basic Medical Sciences, Fudan University, Shanghai, China.
[2]
Zhoufeng Shen, Department of Aeronautics and Astronautics, Fudan University, Shanghai, China.
[3]
Wei Yao, Department of Aeronautics and Astronautics, Fudan University, Shanghai, China.
By reading related literature, we summarize the HIV transmission pathways and establish a mathematical model to calculate transmission rate. The model distinguishes different intercourse methods and transmission direction, simulates four different conditions such as infection between the heterosexual through vaginal sex and infection between the homosextual through anal sex. According to the study, HIV can enter the body directly through abrasion, by Langerhans cell uptake or by M cell transcytosis. The parameters include viral load in different body fluids, HIV viability in different environments, Langerhans cell, CD4+ cell and M cell density in different mucus. Taking the HIV carrier in asymptomatic stage as the subject, we consider the viral load change with time to obtain a dynamic transmission rate. Besides, we put in the data of ART treated patient to simulate transmission course and compare the results of both conditions. With the background of medical knowledge, this model demonstrates the change of HIV transmission rate so that it can be used in other models and makes the consequence closer to the reality.
HIV, CD4 Cell, Mathematical Model, Numerical Simulation
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