Novel Mathematical Methods in Material Science: Applications to Biomaterials (21w5232)


(University of Tennessee at Chattanooga)

Carme Calderer (University of Minnesota)

(University of California Davis)


The Banff International Research Station will host the "Novel Mathematical Methods in Material Science: Applications to Biomaterials" workshop in Banff from June 13 to June 18, 2021.

Polymers, biopolymers, textiles, metal wires, liquid crystals and other physical filaments often immersed in a fluid, are present in nature and in our everyday life in many contexts. They all share a common aspect: their mechanical properties are significantly affected by their inherent geometrical/topological constraints or by the geometry/topology of their surrounding space.

The current state of the art of the Mathematical Study of Materials traditionally deals with the fluid-structure interactions (focusing on solving PDEs), often in 2 dimensions, ignoring the topology of the filaments, or focusing on single filaments. Advances in Applied knot theory have made it possible to use topology, an area of traditionally pure mathematics, to study polymer entanglement effects. With this workshop, we bring together Topologists and Applied Mathematicians (PDEs), together with researchers from Physics, Materials Science, Chemistry and Biology to learn from each other with the goal to solve key problems in material science.

We will aim to create new mathematical models of complex fluids that can bridge length and time scales, and study novel ways to model entanglement of polymers and filaments. We stress that the novelty of this workshop consists not only in bringing together an interdisciplinary array of scientists, but bridging the gap between what has been traditionally catalogued as pure and applied mathematics.

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).