We start from Kinetic models for bacteria movement and derive various population level models, including diffusion equation, keller-segel equation, fractional diffusion equation, etc.
Min Tang is Professor, Tenured Associate Professor at Shanghai Jiaotong University. She obtained her Bachelor's Degree and Ph.D. Degree from Tsinghua University, Beijing, China. She was Postdoctoral researcher at University Paul Sabatier from 2008 to 2009 and at the joint group Bang of INRIA and LJLL at University of Pierre et Marie Currie from 2009 to 2011. In 2011, she joined the institute of natural sciences at Shanghai Jiao Tong University. Her research spans the area of numerical computation and applied analysis for PDE models arising in mathematical biology and physics. During her PhD, she worked on Asymptotic preserving (AP) schemes that can connect different models automatically and possess uniform convergence. Since 2009, she became focus more on mathematical biology, modeling and analyzing chemotactic movements, using kinetic models with internal states to study the population behavior of bacteria, analyzing and simulating the traveling wave or pulsating front solution for biological systems (for example, reaction diffusion equations or keller-segal type equations), studying the connections between the cell density model and free boundary model for tumor growth, etc. At the same time, she continues her work on numerical methods for transport equations or fluid systems. Paper published in SIAM J. Sci. Comput., Journal of Computational Physics,Math. Model Method Appl. Sci. Journal of Mathematical Biology etc.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai