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Bard Ermentrout, Department of Mathematics, University of Pittsburgh Phase in Space: Spatiotemporal dynamics of nonlocally coupled oscillators The ability of neuroscientists to record large regions of the brain at high temporal resolution has demonstrated that neuronal oscillations are not synchronized, but rather, organized into spatio-temporal patterns such as plane- and...

Lexing Ying, Department of Mathematics, Stanford University Prony's method, analytic continuation, and quantum signal processing Prony's method is a powerful algorithm for identifying frequencies and amplitudes from equally spaced signals. It is probably not as well-known as it should have been. In the first part of the talk, we will...

Nathan Kutz, Department of Applied Mathematics, University of Washington The Future of Governing Equations Machine learning and AI algorithms are transforming a diverse number of fields in science and engineering. This is largely due their success in model discovery which turns data into reduced order models and neural network representations...

Bryan Quaife, Department of Scientific Computing, Florida State University The Role of Permeability in Biomembranes Biomembranes permeate small molecules into a cell while not allowing large molecules to pass through. Even in the absence of osmolarity, a biomembrane can exchange large amounts of fluid if enough mechanical force is applied...

Enkeleida Lushi, Department of Mathematics, New Jersey Institute of Technology (NJIT) Models and simulations of micro-swimmer motion in complex confinement Many micro-swimmers (e.g.bacteria, algae, spermatozoa, active colloids) live and move in liquids contained in spaces with non-trivial geometry and boundaries. Examples include porous media, liquids containing impurities and obstacles, as...

Carlos Perez Arancibia, Department of Applied Mathematics, University of Twente, The Netherlands Density Interpolation Methods for Boundary Integral Equations Boundary integral equation (BIE) methods are powerful techniques to solve linear partial differential equations (PDEs) having a known fundamental solution. They can easily handle unbounded domains and radiation conditions at infinity,...

Leonid Berlyand, Department of Mathematics, Penn State University Asymptotic Stability in a free boundary model of cell motion We introduce a free boundary model of the onset of motion of a living cell (e.g. a keratocyte) driven by myosin contraction, with focus on a transition from unstable radial stationary states...

Larry Abbott, Mortimer B. Zuckerman Mind Brain Behavior Institute, Columbia University How flies do vector computations Many tasks, especially those associated with movement and navigation, require the manipulation of vectors. I will describe collaborative work with Gaby Maimon and Cheng Lyu explaining how the Drosophila brain performs vector computations. Specifically,...

Greg Chini, Department of Mechanical Engineering, University of New Hampshire Mixing Hot and Cold with Sound The study of acoustic streaming, in which the nonlinear interaction of time-periodic sound waves of small amplitude ∈ drives O (∈ ^2 ) time-mean flows, dates back to the work of Lord Rayleigh. Owing...

Orit Peleg, Department of Computer Science, ¾«Æ·SMÔÚÏßӰƬ Physical Computation in Insect Swarms Our world is full of living creatures that must share information to survive and reproduce. As humans, we easily forget how hard it is to communicate within natural environments. So how do organisms solve this...