A major feature of biological science in the 21st century will be its transition from phenomenological and descriptive science to quantitative science. Revolutionary opportunities have emerged for mathematically driven advances in biological research. Currently, most experimental research in the life sciences is based on molecular biology or molecular level understanding. However, a much smaller amount of mathematical biology activity is based on molecular level understanding. Therefore, it is imperative to strengthen molecular based mathematical biology, particularly, the modeling and computation of molecular structure and dynamics. It can be envisioned that a dramatic transition in mathematical biology research will occur in the near future. Many of the next generation of leaders in mathematical biology will be working on molecular based research. Multiscale modeling and computation, a subject that has its root in mathematics, will be an important topic in mathematical biology.
This weeklong workshop will cover a wide range of topics in multiscale mathematical modeling of biological/biomolecular systems and their application to specific research problems. Topics include atomistic models; molecular dynamics; Brownian dynamics; continuum-discrete models; micro-macro models; implicit solvation models; electro-elastic models; fluid-electro-elastic models; Poisson-Boltzmann equation; Poisson-Nernst-Planck equations; microfluidics; nano-bio systems; man-made nanopores; biomolecular transport; synthetic (biomedical) and biological membranes; electrohydrodynamics of biomolecular systems; and differential geometry based multiscale models. Emphasis will be placed on the application of these models, theories and methods to protein structure and function, protein folding, DNA specification, protein-protein interaction, membrane proteins, ion channels, stimulus and ionic transport in membrane proteins, man-made nanopores, rational drug design, and drug discovery and delivery and protein sieving in an artificial kidney.