Page 3: Research news on Theories of collective dynamics & active matter

Theories of collective dynamics and active matter constitute a set of analytical and computational techniques used to model systems of self-driven units that convert internal or ambient energy into persistent motion, leading to emergent nonequilibrium phenomena. These techniques include continuum hydrodynamic theories, kinetic theory approaches, and agent-based modeling frameworks that describe pattern formation, phase separation, flocking, and anomalous transport in active systems. They provide mathematical tools to derive effective equations of motion, quantify correlations and fluctuations, and predict macroscopic behavior from microscopic interaction rules, enabling systematic analysis of biological, synthetic, and granular active materials beyond equilibrium statistical mechanics.

How cells work together: The mathematics behind biological shapes

How do biological cells join forces to form a structure? In her Ph.D. research, Daphne Nesenberend uses mathematics to show how forces and cooperation between cells create structure—and how simulations and experiments can ...

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