Shape-changing epithelial monolayers
Fluids and Materials Seminar
10th January 2018, 4:00 pm – 5:00 pm
Main Maths Building, SM2
During the early stages of embryo development, morphogenesis--- the emergence of shape and form in living organisms--- is almost exclusively associated with single-cell thick sheets of tightly bound epithelial cells. In this talk, I will introduce and discuss a mathematical model of how such epithelial monolayers autonomously change their shape. Using a covariant formulation of active hydrodynamics, the approach incorporates the salient physics of tissue morphology: apical contractility, mechanical response and a momentum-conserving embedding fluid. I will discuss: the ramifications of the model; how it can qualitatively reproduce the features of early onset invaginations in the fruit fly Drosophila melanogaster; and how such mathematical approaches might be used alongside experiments to better understand living matter.