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BP: Fachverband Biologische Physik
BP 17: Multicellular Systems II
BP 17.3: Vortrag
Dienstag, 23. März 2021, 11:40–12:00, BPb
Morphoelasticity of Large Bending Deformations of Cell Sheets during Development — •Pierre A. Haas1,2,3 and Raymond E. Goldstein4 — 1Max Planck Institute for the Physics of Complex Systems, Dresden, Germany — 2Max Planck Institute of Molecular Cell Biology and Genetics, Dresden, Germany — 3Center for Systems Biology, Dresden, Germany — 4Department of Applied Mathematics and Theoretical Physics, University of Cambridge, United Kingdom
Deformations of cell sheets during morphogenesis are driven by developmental processes such as cell division and cell shape changes. In elastic shell theories of development, these processes appear as variations of the intrinsic geometry of a thin shell. However, morphogenesis often involves large bending deformations that are outside the formal range of validity of classical shell theories.
In this talk, I will therefore discuss a shell theory valid in this new geometric limit of large bending deformations [1]. I will emphasise the geometric material anisotropy that arises in this theory and the elastic role of cell constriction. Finally, taking the invagination of the spherical embryos of the alga Volvox as a model, I will compare this shell theory to a classical theory not formally valid for large bending deformations and reveal how the geometry of large bending deformations stabilises invagination [1].
[1] P. A. Haas and R. E. Goldstein, Phys. Rev. E 103 (2021, in press)