Figure 20From: Simulations of pattern dynamics for reaction-diffusion systems via SIMULINK Beating-wave patterns of the cortical model. With strong gap-junction diffusion D 2 and carefully chosen inhibitory rate-constant γ i , eigenvalue dispersion curve (d) predicts a mixed pattern of Turing and Hopf instabilities. α and ω are the real and imaginary part of the dominant eigenvalue respectively. Through a 400-s SIMULINK simulation, the Fourier spectrum (c) indicates a 0.15-Hz ultra-slow oscillation of the beating pattern (b) zoomed from (a) Q e time evolution of the point at position (1, 30) shown in (e) 25- × 25-cm grid (100 × 100 grid-points) 3-D plot. Simulation running time ∼75 min. (Figure modified from[46]).Back to article page