Homotopy continuation methods for solving nonlinear systems arising from biology
Theoretical Biology Seminar
Meeting Details
For more information about this meeting, contact Carina Curto.
Speaker: Wenrui Hao, Penn State, Mathematics
Abstract: Nonlinear behavior commonly occurs within biological systems due to their complex dynamic nature. Computational techniques of nonlinear systems are applied to assist in interpreting, explaining, and predicting biological phenomena. This talk will cover some recent work on homotopy continuation methods to solve systems of nonlinear partial differential equations (PDEs) arising from biology. This new approach, which is used to compute multiple solutions and bifurcation of nonlinear PDEs, makes use of polynomial systems (with thousands of variables) arising by discretization. Examples from tumor growth models, and a blood clotting model will be used to demonstrate the ideas.
Room Reservation Information
Room Number: 106 McAllister
Date: 11/29/2016
Time: 1:30pm - 2:30pm