Mostly Biomathematics Lunchtime Seminar
Kinetic theory for uncertainty quantification in structured populations
Speaker: Mingtao Xia, Courant Instructor, Courant Institute of Mathematical Sciences, New York University
Location: Warren Weaver Hall 1314
Date: Tuesday, May 7, 2024, 12:45 p.m.
Synopsis:
Using kinetic theories to model structured populations can link microscopic individuals' behavior and macroscopic population dynamics. In my talk, I will introduce how to apply kinetic theories to model a structured cell population that could quantify both uncertainties in individual cells' dynamics (intrinsic noise) and fluctuations in the number of cells in the population as a result of the birth/death process (demographic noise).
The second part of my talk is for uncertainty quantification on a novel computational approach for reconstructing noisy time-series data using stochastic differential equations, with applications in gene expression and population dynamics.