Venue: Feynman Lecture Hall

Class Timings: 10:00 AM to 12:00 PM, Tuesdays and Thursdays

First Meeting: 12th January 2023

Course Description:

What is a pattern? Spatiotemporal patterns in biology. 

Brief recap of nonlinear dynamics. Phase-space analysis. Numerical tools for pattern formation. Galerkin methods. Amplitude equations. Pattern selection. Vector/Tensor order parameters. Topological defects. Group-theoretic classification of patterns.

Patterns driven by free-energy gradients. Self-organized nonequilibrium patterns. Reaction-diffusion systems. Signalling patterns. Turing instabilities. Ecological patterns. 

Hydrodynamics of active materials. Pattern formation in active matter. Mechanochemical and geometrodynamic patterns in cell & developmental biology. Open problems.