A Cellular Automata Model on HIV Infection (2)

1
A Cellular Automata Model on HIV Infection (2)

• Shiwu Zhang
• Based on Pandey et als work

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Review CA models on HIV(1)

• Characteristics
• Local interactions
• Inhomogeneous elements
• Spatial structure
• High workload
• Examples
• Santos2001
• Hershberg2001

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Review CA models on HIV(1)

• Santos CA model
• One type cell with 4 different states on one site
• No mutation
• 3-stage evolution different time scale
• Hershbergs model in shape space
• Virtual space, 2 types of cells
• Mutation
• 3-stage evolution different time scale

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Pandeys model Introduction(1)

• Elements
• 2-dimension or 3-dimension lattice,
• Four types of entities
• Macrophage(M)
• Helper(H)
• Cytotoxic cells(C)
• Antigen/Viral carrier cells(V)
• Entity States
• 0 low concentration
• 1 high concentration

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Pandeys model Introduction(2)

• Rules
• Boolean expression(4)
• viral mutation(10)
• Fuzzy set
• CA sum rules

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Pandeys model Result

• Populations of Cells and virus
• Initial immune response
• Influence factors
• Viral mutation rate
• Initial concentrations of cells
• Cellular mobility

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Comparison our model

• Method Reasonable-gt Convincing
• Multi-type elements T cells, B cells, HIV
• Spatial space shape space
• Accounting for important interactions
• HIV high mutation rate
• Immune cells stimulation
• Immune systems global abilitymemory
• Result
• 3-stage dynamics of AIDS
• HIV strain diversity
• Mechanism influence

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Related Papers

• R.B. Pandey. (1998). A stochastic cellular
  automata approach to cellular dynamics for HIV
  effect of viral mutation. Theory in Bioscience
  117(32)
• H. Mannion et al. (2000). Effect of Mutation on
  Helper T-cells and Viral Population A Computer
  Simulation Model for HIV. Theory in Bioscience
  119(10)
• H. Mannion et al. (2000). A Monte Carlo Approach
  to Population Dynamics of Cell in an HIV Immune
  Response Model. Theory in Bioscience 119(94)
• A. Mielke and R.B. Pandey. (1998). A computer
  simulation study of cell population in a fuzzy
  interaction model for mutating HIV. Physica A251
  (430).
• R.B. Pandey et al. (2000). Effect of Cellular
  Mobility on Immune Response. Physica A283 (447).