Symmetry, Minimal Flow Units (MFU), Exact Coherent States (ECS) in Excitable Systems


Themes:

Complex Ginzburg-Landau (CGL)


Ideas and Analogs from QFT


Local symmetries and gauge theory: Analogs to non-abelian gauge theories

Asymptotic freedom

Analogs between shear flows and hearts


Session I: Wednesday, January 25, 2:30PM in Small Seminar Room (SSR)


"Spiral waves, tilings, asymptotic freedom" Part I
Roman Grigoriev

Session II: Wednesday, February 8, 2:00PM in the Auditorium (AUD)


"Spiral waves, tilings, asymptotic freedom" Part II
Roman Grigoriev

"The many faces of spiral waves"
Dwight Barkley

Relevant papers:
1. Exact Coherent Structures and Chaotic Dynamics in a Model of Cardiac Tissue (Spatial tiling)
2. Unstable Spiral Waves and Local Euclidean Symmetry in a Model of Cardiac Tissue (Dynamics of single spirals on tiles)
3. Adjoint eigenfunctions of temporally recurrent single-spiral solutions in a simple model of atrial fibrillation (Interaction between spirals and tile boundaries)