The leading authority on nonlinear and oscillatory chemical reactions has got to be Irv Epstein at Brandeis, whom I'm sure you must know. some of his models might be relevant

Mike, are you familiar with the Eigen-Schuster Hypercycle models of what they call 'pre-biotic evolution'?

Best non-technical book on pattern formation is The Self-made Tapestry by @philipcball.bsky.social

that's not a bad video at all. Yes, pattern formation in PDEs is an incredibly beautiful and scientifically important phenomenon, and we've published a bunch of papers using it to mechanistically explain patterns in physiological systems

Hi Bryan- yes, definitely applications to depressive disorders. search "depression" in Ivy's paper. you will find a discussion of a very interesting new theory of depression, way beyond the now-discredited "serotonin hypothesis". Also Google "depression rhythm" for things like circadian influences

His Dynamics: the Geometry of Behavior (with Chris Shaw) told the story of nonlinear dynamics in a picture-centric comic-book style. We and many others are currently drawing heavily on these ideas to teach dynamics to undergraduates, in our case to UCLA Life Science freshmen.

Ralph himself also had a major revelation: these high-level geometric and topological concepts of vector field, trajectory, etc. were also the perfect pedagogical tool to introduce students to the dynamics that are inherent in non-linear diff eqs.

The book replaces the vague and outdated concept of a differential equation by the rigorous notion of a vector field, a cross-section of the tangent bundle of a differentiable manifold. The fundamental concepts go back to Poincare’s work on the equations of the 3-Body Problem.

thanks for doing this, Jeff. please add me!