HIV dynamics in sequence spaceShiwu ZhangBasedonKamp2002from,Kamp2002co-evolution
HIV dynamics in sequence space Shiwu Zhang Based on [Kamp2002from, Kamp2002co-evolution]
Issues on HIV dynamics· HIV infection in patient- HIV development stages. [Santos2001, Hershberg2000AAMAS-HIVreport]- Factors influence (mutation rate, antigenic diversity...)- Distribution ofHIV latency period [Kamp2002from,Kamp2002co-evolution]· HIV epidemic- Spreading on social network [Dezso2002.Satorras2001]
Issues on HIV dynamics • HIV infection in patient − HIV development stages. [Santos2001, Hershberg2000, AAMAS-HIVreport] − Factors influence (mutation rate, antigenic diversity.) − Distribution of HIV latency period [Kamp2002from, Kamp2002co-evolution] • HIV epidemic − Spreading on social network [Dezso2002, Satorras2001]
Background: Percolation theory-Occupation probability(Susceptibility)-Clusters-Spanning probability(transmissibility)-Percolation threshold(Pc)
Background: Percolation theory −Occupation probability (Susceptibility) −Clusters −Spanning probability (transmissibility) −Percolation threshold (Pc )
Background: Sequence space· Viral genome & immune receptor: length l. Viral mutation: change one bit (1,2, ... 2)· Constructing a sequence space, size= a !. Viral mutation means random walk in spaceDimension: [L
Background: Sequence space • Viral genome & immune receptor: length l • Viral mutation: change one bit (1,2, .) • Constructing a sequence space, size= l • Viral mutation means random walk in space • Dimension: l
ModelSite statusS(t)- Susceptible Site can harbor a virusP,(t)- Infected Site is infected by virusR(t)-Recovered After immune response (immune memory). Viral genome is not arbitrary (Do) Immunological presence (po)
Model • Site status − Susceptible S(t) • Site can harbor a virus − Infected v (t) • Site is infected by virus − Recovered R(t) • After immune response (immune memory) • Viral genome is not arbitrary (D0 ) • Immunological presence (0 )