I Nstitute for M Athematics and Its a Pplications

This talk will focus on the underlying questions in development and to a lesser degree, chemistry, perhaps discuss in general terms Turing theory, positional information, gradient theories, mechanochemical theories, and availability of data, etc. 10:30 am Coffee Break Lind Hall Room 400 11:00 am Hans Othmer University of Utah An Introduction to Turing Theory Abstract: The basic mathematical theory, the need for disparity in diffusion coefficients, properties of the kinetic mechanism, explanation of the origin of the instability, limitations of Turing theory. The basic mathematical theory, the need for disparity in diffusion coefficients, properties of the kinetic mechanism, explanation of the origin of the instability, limitations of Turing theory. 12:15–1:15 pm Willard Miller, Fred Dulles, and Kathy Boyer Post-Doc and Longterm Visitor Orientation in Room 409 Lind Hall 2:00 pm Philip Maini University of Oxford Applications of Reaction-Diffusion Equations Abstract: Several applications of Turing theory: glycolysis, Swinney’s stuff, gradient ideas in limb development, particularly digit formation. Friday, September 4 Several applications of Turing theory: glycolysis, Swinney’s stuff, gradient ideas in limb development, particularly digit formation. Friday, September 4 Talks today are in IMA East Seminar Room, Lind Hall Room 409 9:30 am Hans Othmer University of Utah Derivation of Chemotaxis Equations Abstract: Derivation from simple random walks (space jump processes) and from velocity jump processes; hyperbolic equation description, phase space descriptions, inclusion of internal variables. Derivation from simple random walks (space jump processes) and from velocity jump processes; hyperbolic equation description, phase space descriptions, inclusion of internal variables. 10:30 am Coffee Break Lind Hall Room 400 11:00 am Philip Maini University of Oxford Properties of Chemotaxis Equations Abstract: Aggregation and blowup A la Othmer-Stevens, effect on traveling waves, applications to primitive streak, mention Dd aggregation, continuum vs. cell-based models. Aggregation and blowup A la Othmer-Stevens, effect on traveling waves, applications to primitive streak, mention Dd aggregation, continuum vs. cell-based models. 2:00 pm Hans Othmer University of Utah The Basic Equations for Growing Systems Abstract: How to incorporate growth, the effect of growth on patterning, descriptions of growing tissues, mechanochemical theories, etc. How to incorporate growth, the effect of growth on patterning, descriptions of growing tissues, mechanochemical theories, etc.