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Membrane Hydrodynamics and Their Role on Protein Interactions
Vast research has been devoted to studying the equilibrium properties of membranes as elastic surfaces. Much less attention has been given to their in-plane dynamics, which is crucial for protein function. In this talk, I will describe the basics of membrane hydrodynamics and give a few implications of the results : (1) Hindrance of chemical reactions taking place in a membrane, (2) Fluid mediated self-assembly of ATP synthase proteins in a membrane, or of artificial rotating colloids.
We will see that there is a strong resemblance between a system of rotating proteins and vortices in an ideal 2D fluid. The Hamiltonian nature of both systems allows for various conservation laws which derive certain states of matter. In particular - crystallization, hyperuniformity, and activity-induced phase separation.