33 citations · 111 across the 14 of their papers we have counts for
5 papers · 1 filter
Kinetic theories of state- and generation-dependent cell populations
Mingtao Xia, Tom Chou
We formulate a general, high-dimensional kinetic theory describing the internal state (such as gene expression or protein levels) of cells in a stochastically evolving population.…
Overcompensation of transient and permanent death rate increases in age-structured models with cannibalistic interactions
Mingtao Xia, Xiangting Li, Tom Chou
There has been renewed interest in understanding the mathematical structure of ecological population models that lead to overcompensation, the process by which a population recover…
Controlling epidemics through optimal allocation of test kits and vaccine doses across networks
Mingtao Xia, Lucas Böttcher, Tom Chou
Efficient testing and vaccination protocols are critical aspects of epidemic management. To study the optimal allocation of limited testing and vaccination resources in a heterogen…
Kinetic theory for structured populations: application to stochastic sizer-timer models of cell proliferation
Mingtao Xia, Tom Chou
We derive the full kinetic equations describing the evolution of the probability density distribution for a structured population such as cells distributed according to their ages…
Why case fatality ratios can be misleading: individual- and population-based mortality estimates and factors influencing them
Lucas Böttcher, Mingtao Xia, Tom Chou
Different ways of calculating mortality ratios during epidemics have yielded very different results, particularly during the current COVID-19 pandemic. We formulate both a survival…