Biomathematics Seminar Fall 2016 Tuesday, 3:30pm Math 109 (Live Presentations) Wednesday, 11am Math 16 (Video Presentations, National Mathematical Biology Colloquia, MBI) SCHEDULE: August 30, Tuesday, NO Seminar. September 6, Tuesday, NO Seminar. September 13, Tuesday, 3:30 pm, Math 109, Fan Bai, TTU, Title: "Uniqueness of Nash Equilibrium in Vaccination Games". Presentation **September 20, Tuesday, 3:30 pm, Chem 113, Wenjing Zhang, TTU, Title: "Recurrent Diseases May Not Need a Trigger". September 21, Wednesday 11-11:50 am, Math 16, Simon Levin, James S. McDonnell Distinguished University Professor, Ecology & Evolutionary Biology, Princeton University. National Mathematical Biology Colloquium. Title: "Mathematical Ecology: A Century of Progress, and Challenges for the Next Century". Abstract: Mathematical ecology is one of the oldest and most successful branches of mathematical biology, and one that has profited both ecology and mathematics. The great mathematician Volterra was a pioneer a century ago, and the subject has built on the dynamical systems approaches he introduced. As attention has turned to the ecological challenges of the present-climate change, biodiversity loss, critical transitions and the management of the global commons, new methods have entered from stochastic processes to game theory, from statistical physics to topological data analysis, and with a heavy emphasis on high-speed computation. In this talk, I will trace out some of the historic successes, and introduce modern challenges. September 27, Tuesday, 3:30 pm, Math 109, Wenjing Zhang, TTU, Title: "Rich Dynamics Unfold from Backward Bifurcation". **October 18, Tuesday, 3:30 pm, Chem 113, Alessandra Corsi, Department of Physics, TTU, Joint Math/Physics Colloquium. **October 25, Tuesday, 3:30 pm, Chem 113, Magnus Egerstedt, Schlumberger Professor, School of Electrical & Computer Engineering, Georgia Institute of Technology. 2016 Daya Memorial Lectures Lecture: "Control of Multi-Robot Systems: From Formations to Human-Swarm Interactions". October 26, Wednesday 11-11:50 am, Math 16, Charles S. Peskin, Mathematics Department, Courant Institute of Mathematical Sciences. National Mathematical Biology Colloquium. Title: "Fiber Architecture (Differential Geometry) of the Heart and its Valves". Abstract: Cardiac tissue is highly anisotropic. The fibers that are responsible for this anisotropy are primarily the muscle fibers in the heart walls, and collagen fibers in the heart valve leaflets. The fiber architecture of the heart is remarkable. In the left ventricle, there are nested toroidal surfaces along which the muscle fibers run, following approximately geodesic spiral paths. In the aortic and pulmonic valves, the collagen fibers form a branching braided hammock-like structure that looks as if it might have a fractal character. The goal of the work described in this talk is to derive the fiber architecture of the heart from first principles. Our approach is to formulate partial differential equations for a system of fibers under tension supporting a pressure load, and then to see to what extent these equations predict the observed fiber architecture of the heart and its valves. November 9, Wednesday 11-11:50 am, Math 16, Elizabeth Thompson, Department of Statistics, University of Washington. National Mathematical Biology Colloquium. Title: "Relationships, Relatedness, and the Co-ancestry of Genome". **November 10, Thursday, 3:30-4:30 pm, Chem 113, Clint Dawson, Aerospace Engineering and Engineering Mechanics, UT Austin. Title: " Modeling Hurricane Storm Surge and Proposed Mitigation Systems for Floods in the Texas Coast" **November 17, Thursday 3:30 pm, Chem 113, Mary Ann Horn, Department of Mathematics, Vanderbilt University and NSF-DMS Program Director. Math TTU Colloquium. December 7, Wednesday 11-11:50 am, Math 16, Arthur D. Lander, Donald Bren Professor of Developmental and Cell Biology, University of California, Irvine. National Mathematical Biology Colloquium. Title: "Understanding Growth Control" Abstract: All multicellular animals develop through a process of controlled proliferation that, in many cases, exhibits impressive speed and extraordinary precision. Organs and tissues often stop growing at sizes that are independent of body size, independent of cellular growth rate, independent of elapsed time, independent of cell size, and nearly independent of initial conditions. Such control involves feedback regulation of cell proliferation, and although some of the molecular signals have been elucidated, the strategies by which feedback achieves the objectives of growing organs and tissues are only beginning to become clear. Drawing on both modeling and experiments, I will discuss how the coupling of feedback regulation to cell lineage progression provides the degrees of freedom that allow proliferating systems to achieve stability, set-point control, and a remarkable ability to generate controlled final sizes that are larger than the spatial ranges over which feedback signals themselves act. **Math TTU Colloquium counts as Biomathematics Seminar. 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