Mathematics Colloquia and Seminars

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Recent advancements in computational fluid dynamics have enabled researchers to efficiently explore problems that involve moving elastic boundaries immersed in fluids for problems such as cardiac fluid dynamics and animal swimming. These advances have also made modeling both nutrient exchange in a fluid and the muscle driven motion of a flexible organ or organism through a fluid feasible. The work presented here focuses on the development and implementation of such methods and models for the pumping and pulsation of tubular hearts and jellyfish bells. We leverage existing computational algorithms for fluid-structure interactions and extend this technology to “living” boundaries. Muscle models integrate feedback between the conduction of action potentials, the contraction of muscles, the movement of tissues, and fluid motion. These models are then used to resolve pumping mechanisms in tubular hearts and resonant swimming in jellyfish. If time permits, I will present simulations at intermediate Reynolds and Peclet numbers to reveal how the morphology and kinematics of other marine organisms greatly enhance feeding and exchange flows.

Seminars this quarter will be online on Zoom. Please see the math bio seminar series email list or contact the organizers for link and password.