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Explore interdisciplinary communication of complex mathematical concepts through interactive computational tools in this 23-minute conference talk from the Workshop on "Modelling Diffusive Systems: Theory & Biological Applications" at the Erwin Schrödinger International Institute. Discover how real-time interactive simulations via VisualPDE.com can bridge disciplinary boundaries and facilitate collaboration between mathematicians and researchers in developmental biology, geography, ecology, and microbiology. Learn about practical applications including stochasticity in 2D Rayleigh-Bénard convection and the role of subcritical diffusion-driven instabilities in oncological, ecological, and embryological contexts. Examine how sophisticated theoretical concepts in nonlinear dynamics can be illustrated and explored interactively without requiring extensive disciplinary expertise from collaborators. Gain insights into the fundamental limitations of phenomenological dynamical systems modeling and understand the need for improved frameworks in scientific research and communication.
