Cellular automata approach for the dynamics of HIV infection under antiretroviral therapies: The role of the virus diffusion

Providing a Therapeutic Scheduling for HIV Infected Individuals with Genetic Algorithms Using a Cellular Automata Model of HIV Infection in the Peripheral Blood Stream

“…If an A1 cell is not identified by the immune system cells, it releases a new infectious HIV from within itself with probability of P HIV-PR [16] [18] [19]. According to empirical findings, each of active infected cells may be identified by effective immune cells about 3 to 5 weeks after infection and loses its ability to spread the infection and becomes an inactivated infected cell (A 2 ) [12] [19].…”

“…Also the age of an A 1 cell is incremented one unit for the next iteration [16] [18]. c) If due to mutations, an A 1 cell is not detected by the CTLs up to five weeks after infection, due to releasing new viruses from within it, finally the cell membrane of this A 1 cell will tear and it will die for the next iteration [20].…”

“…We also defined following rules for updating the state of HIV Infectious : a) We defined a lifespan limit for HIV Infectious particles that is shown by the parameter "V_LSL". If one HIV Infectious particle reaches the V_LSL, this virus particle will die due to the natural death for the next iteration [16] [17] [18]. b) Before the HIV Infectious reaches V_LSL, following modes may occur: 1) At each iteration, if there is, at least, one anti body cell (AB) in the neighborhood of an HIV Infectious and detects this HIV particle with probability of P identification then the HIV Infectious will lose its ability for spreading the infection due to the performance of humoral response of immune system.…”

“…b) Before the HIV Infectious reaches V_LSL, following modes may occur: 1) At each iteration, if there is, at least, one anti body cell (AB) in the neighborhood of an HIV Infectious and detects this HIV particle with probability of P identification then the HIV Infectious will lose its ability for spreading the infection due to the performance of humoral response of immune system. Therefore, the HIV Infectious becomes HIV inactive for the next iteration [16] [18] [20].…”

“…We also defined following rule for HIV non-infectious : c) Each of HIV non-infectious becomes HIV inactive for the next iteration [16]. Also we defined following rule for HIV inactive : d) Each of HIV inactive becomes a dead cell for the next iteration [16]. Rule 9) The rules for updating the state of CTLs:…”