A brief review of the mathematics and mechanics of biological membranes, plates, and shell
Duration: 1 hour 17 mins
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About this item
| Description: |
Goriely, A (University of Oxford)
Friday 17th July 2015, 10:45 to 12:00 |
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| Created: | 2015-07-21 13:26 |
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| Collection: | Coupling Geometric PDEs with Physics for Cell Morphology, Motility and Pattern Formation |
| Publisher: | Isaac Newton Institute |
| Copyright: | Goriely, A |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| 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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