
The Center for Mathematical Biology is the focal point for interdisciplinary
research in mathematics and biology at the University of Pennsylvania.
research in mathematics and biology at the University of Pennsylvania.
Events
Paul Atzberger
(University of California Santa Barbara)
Surface Fluctuating Hydrodynamics Methods for the Drift-Diffusion Dynamics of Proteins and Microstructures within Curved Lipid Bilayer Membranes
Show/Hide Abstract
We introduce surface fluctuating hydrodynamics approaches for investigating transport and fluid-structure interactions arising in cell mechanics within curved lipid bilayer membranes. We focus particularly on drift-diffusion dynamics of interacting proteins and microstructures. We show how a mesoscale stochastic description of the mechanics can be formulated (SPDEs) accounting for geometric contributions, hydrodynamic coupling, and thermal fluctuations. The underlying stochastic equations (SPDEs) pose practical challenges for use in simulations, including, (i) a need for accurate and stable discretizations of geometric terms and differential operators on curved geometries, (ii) techniques for hydrodynamics handling surface incompressibility constraints, and (iii) stiffness from rapid time-scales introduced by the thermal fluctuations. We show how practical spectral methods and meshfree computational approaches can be developed for simulations over long spatial-temporal scales. We then present results for protein and microstructure interactions within membranes and the roles played by hydrodynamic coupling and geometry. For related simulation software and more information, see http://atzberger.org/
04:00 PM -
Online
MATHEMATICAL BIOLOGY
The Center runs a roughly biweekly seminar series in which we invite researchers in mathematical biology to give a lecture, from around the country and beyond. Many of these seminar speakers are also long-term visitors to Penn, who will interact with a broad range of researchers across campus.
OUR FELLOWS
The Simons Postdoctoral Fellows work in the general area of mathematical biology. Each Fellow is mentored by two advisors, typically one affiliated with the Department of Mathematics and another with the Department of Biology.