Seminar Event Detail

Applied Interdisciplinary Mathematics (AIM)

Date:  Friday, October 25, 2019
Location:  1084 East Hall (3:00 PM to 4:00 PM)

Title:  Building towards a scalable computational framework of ciliary-flow in complex geometries

Abstract:   Cilia are hair-like organelles that protrude from epithelial cell-surfaces. Being one of the most conserved micro-structures in nature, cilia are critical building-blocks of life. In particular, it is known for decades that our airway systems require the periodic movements of cilia to transport mucus that carries out the dusts and toxic particles. More recently, people have realized that being the "conveyor-belt" of unwanted particles are far from the sole function of ciliary-flows. For example, cilia can create fluid-mechanical micro environments for the active recruitment of the specific microbiome of the host; ciliary-flows in the brain ventricles behave like a "switch" that reliably and periodically alters the flow pattern. Despite the fact that cilia grow in greatly complex geometries, existing numerical works have focused on simple geometries and idealized boundary conditions such as periodic, free-space or half-space flows. In this talk, we will present a newly developed hybrid numerical method for simulating ciliary flows in complex geometries. The confining geometries are treated by FMM accelerated boundary integral method while the ciliary flows are treated by the method of regularized stokeslet. With a few examples, we demonstrate the effects of having a complex geometry on fluid transport and mixing. We will also showcase the simulated ciliary-flow in an extremely complicated, experimentally obtained human organ.


Speaker:  Hanliang Guo
Institution:  University of Michigan

Event Organizer:   Shravan Veerapaneni


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