BPS2026 - Reaction-diffusion equation pattern formation with reaction-reaction analog circuits

Alan Turing, in his seminal 1952 paper, showed that reaction-diffusion systems with differential diffusivities are capable of pattern formation and postulated that these mechanisms were responsible for biological development. We show that analog electronic circuits are a great candidate for understanding reaction-diffusion systems by demonstrating their pattern formation capabilities in various reaction-diffusion networks. We show how one can achieve this with conventional reaction-diffusion circuits and with our specialized reaction-reaction circuits. Our analog circuit formulation of reaction-diffusion systems could enable modeling of large and complex chemical pathways, which are difficult to experiment with using current computational technology.