Structured population modeling in demography, cell biology, and immunology

I will highlight the development of mathematical models for structured populations in a number of biological settings. Starting from the canonical age-structured McKendrick model, I will present a model of the one-child policy (which itself was implemented as a result of modeling) and then present a stochastic generalization of it. Structured populations also naturally arise in cell proliferation models. We adapt them to adder-sizer-timer type models and also present stochastic versions.  Finally, I will outline a new application to T cells with different HIV integration sites, and analyze this model in the context of ranked clone abundances.

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