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2013 PI Summer Graduate Program
Flow, Geometric Motion, Deformation, and Mass Transport in Physiological Processes
University of Minnesota, Minneapolis, MN
July 15 - August 2, 2013

  Organizers and Lecturers
Carme Calderer University of Minnesota, Twin Cities
Robert Lipton Louisiana State University
Felix Otto Max-Planck-Institut fur Mathematik in den Naturwissenschaften
Dionisios Margetis University of Maryland
Qiang Du Pennsylvania State University
Marta Lewicka University of Pittsburgh
Ricardo Nochetto University of Maryland
Mark Peletier Eindhoven University of Technology
Guest Lecturers
Andrea Bonito Texas A&M University
Suncica Canic University of Houston
Antonio DeSimone SISSA
Günay Dogan National Institute of Standards and Technology
Corina Drapaca Penn State University
Yekaterina Epshteyn University of Utah
Satish Kumar University of Minnesota
Yoichiro Mori University of Minnesota
Hans Othmer University of Minnesota
Matthias Röger Technische Universität Dortmund
Ronald Siegel University of Minnesota
Jorge Viñals University of Minnesota
Shawn Walker Louisiana State University
  Program Description

This program is primarily for graduate students of IMA Participating Institutions (PIs). In order to participate, students must complete the online application form and provide a personal statement and (1) a letter of nomination from the PI chair (for students from a PI) or (2) a recommendation letter (for students from institutions that are not a PI).

The program will expose graduate students to the fundamentals of mathematical and computational studies in mechanisms that underlie physiological and materials processes, including the motion of biomembranes, solid-fluid interaction, and the morphogenesis of growing tissues. These processes play a key role in cell biology and biological physics. Understanding how to model, analyze, and simulate the basic elements of physiological processes from the molecular to the one-cell to the multi-cell level can possibly pave the way to improving drug designs. The program will also familiarize students with basic tools and techniques from the theory and numerical analysis of nonlinear partial differential equations and the associated free-boundary problems, kinetic theory, and solid and fluid mechanics. The list of invited speakers includes experts in applied and numerical analysis, mathematical modeling, computational mathematics, and experimental science. The program will provide lectures, tutorials, and hands-on lab demonstrations by senior and junior researchers.

Basic prerequisites for participants:
1. Graduate or undergraduate experience in numerical analysis/numerical modeling
2. Graduate or undergraduate experience in differential equations (beyond sophomore engineering course)

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