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SUMMARY:Colloquium: Prof. Yoichiro Mori
DESCRIPTION:Mathematical Modeling of Cell Volume Control and Electrolyte Balance\nProf. Yoichiro Mori\nProfessor of Mathematics\nUniversity of Pennsylvania \nElectrolyte and cell volume regulation is essential in physiological systems. Biophysical modeling in this area\, however\, has been 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. It will be shown that thermodynamic considerations lead to a new perspective of cell volume control. This classical model will then be generalized to a model with spatial extent (a system of partial differential equations) modeling cell-level electrodiffusive and osmotic phenomena. A simplified version of this model will then be applied to study osmosis-driven cell movement. I will also touch upon tissue-level models of ionic electrodiffusion and osmotic water flow which we have developed to study certain pathophysiologies of the central nervous system.
URL:/math/event/colloquium-yoichiro-mori/
LOCATION:EMS Building\, EMS E495\, 3200 Cramer St\, Milwaukee\, WI\, 53211\, United States
CATEGORIES:Colloquia
ORGANIZER;CN="The Department of Mathematical Sciences":MAILTO:math-staff@uwm.edu
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UID:10016154-1713877200-1713881700@uwm.edu
SUMMARY:Colloquium: Prof. Roger Howe
DESCRIPTION:Mathematics around the Heisenberg Group\nProf. Roger Howe\nProfessor Emeritus\nYale University \nIn the mid 1920s\, Werner Heisenberg formulated the CCR – canonical commutation relations – describing the relationship between the operations of measuring position and of measuring momentum of a particle in quantum mechanics. These have been fundamental to the later\, dramatically successful development of subatomic physics. Shortly after Heisenberg’s work\, Hermann Weyl pointed out that the CCR defined the relations of a Lie algebra\, whose associated group is a two-step nilpotent group with one dimensional center. Today\, this group (and its increasingly large set of cousins) is known as the “Heisenberg group”. Over the remainder of the 20th century\, appreciation grew of the fundamental role of the Heisenberg group in disparate mathematical topics\, including harmonic analysis\, partial differential equations\, invariant theory and representation theory\, in both finite and infinite dimensions. This talk will review and attempt to summarize some of the manifold connections between these topics that are mediated by the Heisenberg group
URL:/math/event/colloquium-prof-roger-howe/
LOCATION:EMS Building\, EMS E495\, 3200 Cramer St\, Milwaukee\, WI\, 53211\, United States
CATEGORIES:Colloquia
ORGANIZER;CN="The Department of Mathematical Sciences":MAILTO:math-staff@uwm.edu
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