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A brief review of the mathematics and mechanics of biological membranes, plates, and shell

Presented by: 
Alain Goriely University of Oxford
Date: 
Friday 17th July 2015 - 10:45 to 12:00
Venue: 
INI Seminar Room 1
Abstract: 
Many biological structures, such as cellular walls, epithelial sheet, pollen tubes, and seashells can be modelled as two-dimensional objects. That is, these structures have a transverse length scale much smaller than the other two typical length scales. In this general lecture, I will review the basic aspects of the mathematics and mechanics of surfaces. I will start by reviewing the differential geometry of surface, then consider classical models for lipid bilayers and their use in cellular biology. I will describe how to model bio-elastic membranes, plates, and shells and how to extend classical models to include active and growth processes. I will apply these ideas to microbial filaments, bleb formation, and to urchin and seashell growth.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons