Multiscale Modeling in Biological Problems
Biological complexity can only be understood quantitatively by using mathematical sciences. Many fundamentally important processes in biology are inherently multiscale. Multiscale modeling is an approach to understanding the biological processes by integrating analytical and computational models from the molecular to the continuum level across widely different spatial and temporal scales. In the last decade considerable progress has been achieved in the multiscale modeling of complex biological processes, and the success of such models relies upon new theories and methods for constructing accurate multiscale approaches that transfer information between models with different resolutions. Such approaches can be deterministic, stochastic, qualitative, or in many other forms.
The minisymposium is dedicated to the fundamental aspects of multiscale modeling in biological processes. We will explore the latest approaches to developing reliable mathematical models and efficient numerical algorithms to bridge the multiple scales and biological representations. Some of the issues that will be discussed include, but are not limited to: (1) innovative mesoscopic models, which bridge the scales between microscopic and marcoscopic models in biological problems; (2) network approximations and applications to biology; (3) numerical methods that can accurately capture the effects of the small scales on the large ones; (4) multiscale analysis in inverse problems of mathematical biology.
Organizers
-
Jay R. Walton
Texas A&M University
jwalton@math.tamu.edu -
Leonid Berlyand
Pennsylvania State University
berlyand@math.psu.edu -
Yuliya Gorb
Texas A&M University
(979) 862-4477
gorb@math.tamu.edu
Schedule
Monday 4
| Room | Time | Talk |
|---|---|---|
| Knowledge Room | 4:00 PM |
Understanding in vivo and in vitro cell matrix interactions through multi-scale modeling and simulations. Muhammad Zaman |
| Knowledge Room | 4:20 PM |
A Multiscale Approach to Modeling the Human Respiratory and Circulatory Systems Anne Staples, Elaine Oran, Jay Boris, Carolyn Kaplan |
| Knowledge Room | 4:40 PM |
Dependence of the Vibrational Frequency Spectrum of a Nonlinear Residually Stressed Elastic Body on Material Properties, Geometry and Residual Stress Yuliya Gorb, Jay R. Walton |
| Knowledge Room | 5:00 PM |
Experimental and Theoretical Studies of Ultimate Strength of Cortical Bone Iwona Jasiuk, Liang Feng |
| Knowledge Room | 5:20 PM |
A model of hydrodynamic interaction between self-propelled bacteria Vitaliy Gyrya , Igor S. Aranson, Leonid V. Berlyand, Dmitry Karpeev |
Tuesday 1
| Room | Time | Talk |
|---|---|---|
| Knowledge Room | 8:00 AM |
Flocculating Infectious Bacteria: Smoluchowski and Sepsis David Bortz, John Younger |
| Knowledge Room | 8:20 AM |
Canceled - Fluid-Structure Interaction and Transport in Blood Flow Suncica Canic |
| Knowledge Room | 8:40 AM |
Mechanics of Microtubules Buckling Supported by Cytoplasm Hanqing Jiang, Jiaping Zhang |
| Knowledge Room | 9:00 AM |
Modeling of Bone at Nanostructural Level Iwona M. Jasiuk, Elham Hamed |
| Knowledge Room | 9:20 AM |
Effective Viscosity of Dilute Bacterial Suspensions: A Two-Dimensional Model Leonid Berlyand, B. Haines, I. Aronson, D. Karpeeev |
Tuesday 2
| Room | Time | Talk |
|---|---|---|
| Knowledge Room | 11:00 AM |
Modeling the Growth of an Atherosclerotic Lesion Jay Walton |
| Knowledge Room | 11:20 AM |
Multi-scale modeling of alpha-helical protein structures Markus Buehler |
| Knowledge Room | 11:40 AM |
Thermodynamically-Consistent Hierarchical Multiscale Constitutive Modeling of Glassy Polymer Materials Gregory Odegard, Pavan Valavala, Elias Aifantis |
| Knowledge Room | 12:00 PM |
A Concurrent Atomistic and Continuum Model and Its Application in Biological Materials Youping Chen, Liming Xiong |
