### Abstract

Original language | English |
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Pages (from-to) | 157-167 |

Number of pages | 11 |

Journal | Theoretical Population Biology |

Volume | 76 |

Issue number | 3 |

Early online date | 5 Jun 2009 |

DOIs | |

Publication status | Published - Nov 2009 |

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**Antigenic distance and cross-immunity, invasibility and coexistence of pathogen strains in an epidemiological model with discrete antigenic space.** / Adams, Ben; Sasaki, Akira.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Antigenic distance and cross-immunity, invasibility and coexistence of pathogen strains in an epidemiological model with discrete antigenic space

AU - Adams, Ben

AU - Sasaki, Akira

PY - 2009/11

Y1 - 2009/11

N2 - In models of pathogen interaction and evolution discrete genotypes in the form of bit strings may be mapped to points in a discrete phenotype space based on similarity in antigenic structure. Cross-immunity between strains. that is the reduction in Susceptibility to strain A conferred to a host by infection with strain B, call then be defined for pairs of points in the antigenic space by a specified function Analysis of an SIR type model shows that, if two strains are at equilibrium, the shape of the cross-immunity function has a strong influence on the invasion and coexistence of a third strain and, consequently, the expected evolutionary pathway. A function that is constant except for discontinuities at the end points is expected to result in the accumulation of diversity until a pair of discordant strains occurs that call, depending on parameter values, exclude all other strains. For a function of the form f (h) = h(q), where h is the antigenic distance between two strains, invasion and coexistence is always possible if q

AB - In models of pathogen interaction and evolution discrete genotypes in the form of bit strings may be mapped to points in a discrete phenotype space based on similarity in antigenic structure. Cross-immunity between strains. that is the reduction in Susceptibility to strain A conferred to a host by infection with strain B, call then be defined for pairs of points in the antigenic space by a specified function Analysis of an SIR type model shows that, if two strains are at equilibrium, the shape of the cross-immunity function has a strong influence on the invasion and coexistence of a third strain and, consequently, the expected evolutionary pathway. A function that is constant except for discontinuities at the end points is expected to result in the accumulation of diversity until a pair of discordant strains occurs that call, depending on parameter values, exclude all other strains. For a function of the form f (h) = h(q), where h is the antigenic distance between two strains, invasion and coexistence is always possible if q

UR - http://www.scopus.com/inward/record.url?scp=70349778635&partnerID=8YFLogxK

UR - http://dx.doi.org/10.1016/j.tpb.2009.06.001

U2 - 10.1016/j.tpb.2009.06.001

DO - 10.1016/j.tpb.2009.06.001

M3 - Article

VL - 76

SP - 157

EP - 167

JO - Theoretical Population Biology

JF - Theoretical Population Biology

SN - 0040-5809

IS - 3

ER -