Thur. March 27 at 4:00-5:00pm in Fretwell 406

March 20, 2014 by Michael Grabchak
Categories: Spring 2022
Dr. Marc Ryser,  Department of Mathematics, Duke University
Title:  Of Noise and Cancer
Abstract: In the first part of my talk I will discuss the well-posedness of the 2D stochastic Allen-Cahn equation, a commonly used stochastic partial differential equation in physics and material sciences. I will tell the whole tale, from numerical investigations and formulation of a conjecture, to heuristic arguments and the conjecture-turned-theorem. In the second part of my talk I will present ongoing work at the interface of mathematics and cancer biology. I will introduce a stochastic model of carcinogenesis, and show how a combination of analysis and simulations are used to address clinically relevant problems. To finish, I will talk about an ongoing collaboration with cancer surgeons at Duke, where we develop a modeling framework to make patient-specific predictions.