Past Events
Category |
Seminar |
Date and Time |
2015-06-26 16:00 - 17:00 |
Venue |
Seminar Room D2F |
Speaker |
Yoichiro Mori |
Affiliation |
School of Mathematics,University of Minnesota |
Title |
Modeling Electrodiffusion and Osmosis in Physiological Systems |
Poster |
click here to download(PDF) |
Host |
Tatsuo Shibata |
Summary |
Electrolyte and cell volume regulation is essential in physiological systems. Despite its importance, mathematical modeling in this area is relatively sparse. After a brief introduction to cell volume control and electrophysiology, I will discuss the classical pump-leak model of electrolyte and cell volume control. This classical model will be generalized to a system of partial differential equations (PDE) that incorporates tissue-level electrodiffusive, convective and osmotic phenomena. This model will then be applied to the study of cortical spreading depression, a wave of ionic homeostasis breakdown, that is the basis for migraine aura and other brain pathologies. Time permitting, I will also discuss our recent attempt at formulating a PDE system modeling cell-level electrodiffusive and osmotic phenomena, and its application to the study of the role of osmotic pressure in cell movement. |
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