2013 CMS Winter Meeting
University of Ottawa, December 6 - 9, 2013
Doctoral Prize
- MARC RYSER, Department of Mathematics, Duke University
Of noise and cancer [PDF]
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In the first part of my talk I will give an overview of my dissertation work on the well-posedness of the 2D stochastic Allen-Cahn equation. 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.
