Saturday, April 20, 2013
9:00 AM-5:00 PM
9:00-9:50 AM
Registration and Coffee
9:50-10:00 AM
Dow Science Complex 135
Opening Remarks
George E. Ross, Ph.D., President,
Central Michigan University
10:00-10:05 AM
GLSIAM Chapter Announcement
10:05-11:05 AM
Dow Science Complex 135
Plenary Talk:
From PDEs to Information Science and Back
Russel Caflisch, Director,
Institute for Pure and Applied Mathematics
11:05-11:15 AM
Coffee Break
11:15 AM-12:15 PM
Contributed Talks: Special Session A
A1 (Dow 135 - Graeme Fairweather, Tong Sun)
A2 (Dow 171 - Valeriy Ginzburg, Henry Boateng)
12:15-1:30 PM
Lunch - Woldt Dining Hall
1:30-2:30 PM
Dow Science Complex 135
Plenary Talk: Computational Analysis of Stochastic Reaction-Diffusion Processes
Hans Othmer, University of Minnesota, Department of Mathematics
2:30-2:50 PM
Poster Session and Coffee Break
2:50-3:50 PM
Contributed Talks: Special Session B
B1 (Dow 135 - Kun Gou, Vani Cheruvu)
B2 (Dow 171 - Arunasalam Rahunanthan, Libin Rong)
B3 (Dow 175 - Weiqun Zhang, Xiaoming Zheng)
3:50-4:00 PM
Coffee Break
4:00-5:00 PM
Dow Science Complex 135
Plenary Talk:
Variational Multiscale Models for Biomolecules
Guowei Wei, Michigan State University,
Department of Mathematics
5:00-5:05 PM
Dow Science Complex 135
Student Poster Awards
Opening RemarksGeorge E. Ross, Ph.D. President, Central Michigan University
Dow Science Complex 135, 9:50-10:00 AM
Chair: En-Bing Lin
Plenary Talks
From PDEs to Information Science and Back
Russel Caflisch, Director, Institute for Pure and Applied Mathematics
Dow Science Complex 135, 10:05-11:05 AM
Chair: Leela Rakesh
The arrival of massive amounts of data from imaging,
sensors, computation and the internet brings with it challenges for
information science. New methods for analysis and manipulation of big
data have come from many fields of mathematical science. Among these,
the application of ideas from PDEs, such as variational principles and
numerical diffusion, to information science is the first focus of this
presentation. The second focus is the emerging influence back to PDEs of
very successful ideas from information science, such as sparsity and
compressed sensing.
Computational Analysis of Stochastic Reaction-Diffusion Processes
Hans Othmer, University of Minnesota, Department of Mathematics
Dow Science Complex 135, 1:30-2:30 PM
Chair: Xiaoming ZhengReaction and diffusion processes are used to model
chemical and biological processes over a wide range of spatial and
temporal scales. Several routes to the diffusion process at various
levels of description in time and space are discussed and the master
equation for spatially-discretized systems involving reaction and
diffusion is developed. We discuss an estimator for the appropriate
compartment size for simulating reaction-diffusion systems and introduce
a measure of fluctuations in a discretized system. We then describe a
new computational algorithm for implementing a modified Gillespie method
for compartmental systems in which reactions are aggregated into
equivalence classes and computational cells are searched via an
optimized tree structure. Finally, we discuss several examples that
illustrate the issues that have to be addressed in general systems.
Variational Multiscale Models for Biomolecules
Guowei Wei, Michigan State University, Department of Mathematics
Dow Science Complex 135, 4:00-5:00 PM
Chair: En-Bing LinA major feature of biological sciences in the 21st
century will be their transition from phenomenological and descriptive
disciplines to quantitative and predictive ones. Revolutionary
opportunities have emerged for mathematically driven advances in
biological research. However, the emergence of complexity in
self-organizing biological systems poses fabulous challenges to their
quantitative description because of the excessively high dimensionality.
A crucial question is how to reduce the number of degrees of freedom,
while preserving the fundamental physics in complex biological systems.
This work focuses on a new variational multiscale paradigm for
biomolecular systems. Under the physiological condition, most biological
processes, such as protein folding, ion channel transport and signal
transduction, occur in water, which consists of 65-90 percent of human
cell mass. Therefore, it is desirable to describe macromolecules by
discrete atomic and/or quantum mechanical variables; while treating the
aqueous environment as a dielectric or hydrodynamic continuum. I will
discuss the use of differential geometry for coupling microscopic and
macroscopic scales on an equal footing. Based on the variational
principle, we derive the coupled Poisson-Boltzmann, Nernst-Planck (or
Kohn-Sham), Laplace-Beltrami and Navier-Stokes equations for the
structure, dynamics and transport of ion-channel systems.
Contributed Talks
Morning Contributed Talks
- A1. Session chair: Meera Mainkar
Dow Science Complex 135, 11:15-11:45 AM
Compact optimal spline collocation methods for convection-diffusion problems
Graeme Fairweather, Mathematical Reviews
Dow Science Complex 135, 11:45 AM-12:15 PM
Numerical smoothness and error analysis of time-dependent PDEs
Tong Sun, Bowling Green State University
- A2. Session chair: James Angelos
Dow Science Complex 171, 11:15-11:45 AM
Combining Physical Resist Modeling and Self-Consistent Field Theory for Pattern Simulation in Directed Self-Assembly of Block Copolymers in Nanolithography
Valeriy Ginzburg, The Dow Chemical Company
Dow Science Complex 171, 11:45 AM-12:15 PM
Approximating Off-Lattice Kinetic Monte Carlo
Henry Boateng, University of Michigan
Afternoon Contributed Talks- B1. Session chair: Ching-I Cheng
Dow Science Complex 135, 2:50-3:20 PM
Algorithms for numerical solution of the Goursat problem on a triangular domain with mixed boundary conditions
Kun Gou, Michigan State University
Dow Science Complex 135, 3:20-3:50 PM
Sensitivity analysis for spectral element based two-layered shallow water model
Vani Cheruvu, The University of Toledo
- B2. Session chair: Yeonhyang Kim
Dow Science Complex 171, 2:50-3:20 PM
Predictive Simulation for Porous Media Flows on GPUs
Arunasalam Rahunanthan, University of Toledo
Dow Science Complex 171, 3:20-3:50 PM
Modeling within-host dynamics of influenza virus infection
Libin Rong, Oakland University
- B3. Session chair: C-Y. Jean Chan
Dow Science Complex 175, 2:50-3:20 PM
Numerical Methods for High Dimensional Singular Perturbation Problems
Weiqun Zhang, Wright State University
Dow Science Complex 175, 3:20-3:50 PM
Interface-fitted adaptive mesh method for free interface problems with surface tension based on level-set formulation
Xiaoming Zheng, Central Michigan University