Selected article for: "Appendix approximation and scale result"
Author: Sebastian J. Schreiber; Ruian Ke; Claude Loverdo; Miran Park; Priyanna Ahsan; James O. Lloyd-Smith
Title: Cross-scale dynamics and the evolutionary emergence of infectious diseases
  • Document date: 2016_7_29
    • ID: hain3be0_25
    Snippet: This approximation shows that a sufficiently strong selective advantage at either scale can result in the mutant reproductive number exceeding one (R m > 1) despite a selective disadvantage at the other scale (confirmed by exact calculations in Fig 2A,B) . For short-term infections where viral dynamics are dominated by the exponential phase, the longer the duration of infection, the greater the influence of the within-host selective advantage com.....
    Document: This approximation shows that a sufficiently strong selective advantage at either scale can result in the mutant reproductive number exceeding one (R m > 1) despite a selective disadvantage at the other scale (confirmed by exact calculations in Fig 2A,B) . For short-term infections where viral dynamics are dominated by the exponential phase, the longer the duration of infection, the greater the influence of the within-host selective advantage compared to the between-host selective advantage (e.g., steep contours in Fig 2A) . For long-term infections, the viral load will tend to K for both purely wild-type or purely mutant infections. Thus, the only difference will be in transmissibility and we get the approximation (Appendix)

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