Persistence and dynamics in a metapopulation model of infection We consider a metapopulation model of an Infectious Salmon Anemia virus (ISAv) infection on a network of patches connected via diffusion of the virus. In addition to previous results, we give analytical proof of oscillatory solutions in a system of 2 patches. We introduce a variety of network structures …
Epidemic Models Structured by Immunological Variables We develop a differential-integral equation model of epidemics in an animal population structured by immunological variables such as mean viral load and mean T-cell density. The population is subdivided into susceptible individuals whose dynamics is modeled by an ordinary differential equation, and infected/infectious individuals structured by immunological state summarized …
Quantifying the Burden of Somatic Evolution in the Context of Cancer and Aging Somatic tissue evolves over a vertebrate’s lifetime due to the accumulation of mutations in stem cell populations. Mutations may alter cellular fitness and contribute to tumorigenesis or aging. The distribution of mutational effects within somatic cells is not known. Given the unique …
Cancer Epidemiology and Modeling, Carcinogenesis In this talk we will examine the link between two commonly used functions in cancer epidemiology (the incidence function and the relative risk function) and the study of carcinogenesis modeling. Specifically, we will look at some variations of the multistage model of carcinogenesis proposed by Armitage and Doll in the …