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Explore singular limits in biological partial differential equations through this 36-minute conference lecture from the Erwin Schrödinger International Institute for Mathematics and Physics. Examine the mathematical analysis of diffusive enzyme reactions and plant-growth dynamics with autotoxicity, focusing on how singular limits arise in biological PDE systems. Learn about advanced mathematical techniques including duality methods, energy methods, and bootstrap arguments used to derive a-priori estimates that enable passage to the limit for obtaining cross-diffusion systems. Discover how projection methods can be exploited to derive convergence rates for singular limits, providing rigorous mathematical foundations for understanding complex biological processes through differential equation modeling.
