Partial Differential Equations in Cancer Modelling (15w5072)


Robert Gatenby (Moffitt Cancer Centre)

Thomas Hillen (University of Alberta)

(University of Wisconsin - Milwaukee)


The Banff International Research Station will host the "Partial Differential Equations in Cancer Modelling" workshop from February 1st to February 6th, 2015.

Cancer is not just one disease, but rather a complicated interaction of many abnormal features and many different cell types, which are situated in a heterogeneous habitat of normal tissue.
The mathematical modelling of cancer growth and treatment is at full swing, and a significant challenge arises due to the interactions of cancer with a complicated and structured microenvironment of healthy tissue. Many of the spatial models in cancer modelling are based on partial differential equations (PDEs) that include spatial heterogeneity, orientational tissue structure, tissue stiffness and deformability. The analysis of these coupled non-linear PDEs and the analysis is challenging. Specific problems relate to reaction-diffusion equations, transport equations, continuum equations, and to their local and global existence and uniqueness, pattern formation, invasion, free boundary problems, anisotropic diffusion, and control.

In this workshop we will bring together experts from PDE modelling in mathematics, medicine and biology to make progress on the analysis of PDE models for cancer.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).