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Explore mathematical biology through this comprehensive collection of videoconferences and lectures covering diverse topics at the intersection of mathematics and biological systems. Delve into neural dynamics with slow-fast analysis of neural bursters and gamma-beta burst rhythms in neuronal networks, while examining multiple timescales in various biological systems. Investigate cellular processes including collective cell behavior, cell migration, volume control, and calcium signaling in live animals. Study cancer modeling through mathematical oncology approaches, computational methods, agent-based modeling software PhysiCell, and frameworks for understanding metastatic spread and immune-mediated theories. Examine population dynamics in moving environments, seasonal hybrid models for plant flowering onset, and mathematical modeling of immune cells. Learn about the translation of agent-based models to partial differential equations and explore applications in collective behavior with attractive-repulsive models. Additional topics include singularity formation in black hole interiors, global predictions of unreported SARS-CoV-2 infections from COVID-19 data, and restriction of eigenfunctions to sparse sets on manifolds, providing a broad foundation in mathematical approaches to biological phenomena.
