The effects of cerebral curvature on cortical spreading depression.

•A large scale 2D dynamical model of the cerebral cortex is presented.•The model can simulate high extracellular K+ waves in cortical spreading depression.•The model can simulate the varied curvature of the human cortex.•Areas of positive Gaussian curvature inhibit CSD wave propagation.•Curvature can account for differences seen in human/animal experiments.