A Kinetic Theory of Birth, Death, and Fission of Age-Structured Populations

Topic: 
A Kinetic Theory of Birth, Death, and Fission of Age-Structured Populations
Date & Time: 
Thursday, December 14, 2017 - 13:30 to 14:30
Speaker: 
Tom Chou, University of California, Los Angeles (UCLA)
Location: 
Room 264, Geography Building, 3663 Zhongshan Road North, Shanghai

Abstract:
Classical age-structured mass-action models such as the McKendrick-von Foerster equation have been extensively studied but they are structurally unable to describe stochastic fluctuations or population-size-dependent birth and death rates. We present a semi-Markov stochastic model of populations that incorporate age-dependent birth, death, and fission rates. By defining multiparticle probability density functions, we derive a hierarchy of kinetic equations for the stochastic evolution of an aging population undergoing birth, death, and fission. We show that the fully stochastic age-dependent birth-death process precludes factorization of the corresponding probability densities, which then must be solved by using a BBGKY-like hierarchy. Our results generalize both deterministic models and existing master equation approaches by providing an intuitive and efficient way to simultaneously model age- and population-dependent stochastic dynamics applicable to the study of demography, stem cell dynamics, and disease evolution.

Biography:
Tom Chou is Professor in the Department of Biomathematics and the Department of Mathematics at UCLA, Los Angeles. Professor Chou holds a Ph.D. in Physics from Harvard University. He works on applied math, mathematical biology, theoretical soft condensed matter, and statistical mechanics problems.

 

Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai

Location & Details: 

Transportation Tips:

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  • Metro:  Jinshajiang Road Station, Metro Lines 3/4/13 
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