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

Presented by: 
Alain Goriely
Friday 17th July 2015 - 10:45 to 12:00
INI Seminar Room 1
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.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons