Frontiers in Soft and Biological Matter: Mathematical Modeling and Experiment
Time & Location
About The Event
Physics of soft and biological matter, including the so-called active matter has been established as a novel interdisciplinary research field over the last few decades. Soft matter typically includes easily deformable objects such as colloids, polymers, polyelectrolytes, elastomers, micellar and vesicular systems, liquid crystals, and active matter (systems consuming stored energy or energy from the environment and transducing it into mechanical motion). Most soft matter phenomena are driven by complex anisotropic molecular interactions, with most interesting effect emerging in out-of-equilibrium. Resent years demonstrated a dramatic increase of interest and understanding of this out-of-equilibrium behavior. Physics of these systems is especially rich, as illustrated, for example, by the Toner-Tu  model that generalizes the classic Navier-Stokes equations via incorporation of “active mechanisms”. Description of underlying mechanisms requires sophisticated mathematical modeling and state-of-the-art experiments, in which successful research advances are possible only through combination of knowledge in various fields, ranging from mathematics and physics to chemistry and biology. The interdisciplinary character of this research field is reflected by the appearance of numerous experimental realization of active matter, such as dispersions of microtubules driven by molecular motors , assemblies of epithelia cells , and living liquid crystals . The main goal of the meeting would be to present and discuss the key mechanisms controlling behavior of soft and biologically relevant systems in and out of equilibrium. The program will span a number of key interdisciplinary themes, as detailed below.
- Active matter with orientational order
- Active LC colloids
- Mixed-dimesnional liquid crystal colloids
- Active gel physics
- Fractional PDE and anomalous diffusion in porous media
- Sloshing and mixing in bioreactors
- p-adic analysis for protein folding
- Symmetry methods in studies of biological processes
The meeting will bring together specialists in different fields such as theoretical and experimental physics, mathematical modelling, and biophysics who will be united by the common subjects of research in soft and biological matter. The focus of the conference will be on synergy of experiments and state-o-the-art mathematical modeling with the emphasis on partial and fractional differential equations, variational and symmetry methods.