Current Research: Antagonistic Multilevel Selection
نویسندگان
چکیده
Stochastic processes and differential equations provide a rich source of tractable objects for capturing the dynamics of complex systems. In my research, I work closely with mathematicians (Jonathan Mattingly, Michael Reed, and other members of the Duke Math Department) as well as biologists (Katia Koelle’s research group) to use these objects to understand important biological questions: • Evolutionary dynamics under multiple and opposing levels of selection (§1) – multiscale stochastic processes – measure-valued (Fleming-Viot) processes – deterministic and stochastic diffusion limits • Viral antigenic evolution within and between hosts (§2) – inhomogeneous Poisson processes – nonlinear differential equations
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