We report a method of treating an epileptic seizure in a patient, comprising: detecting said epileptic seizure, based on body data from said patient; and reducing a flow of blood to a brain of said patient in response to said detected seizure; wherein said reducing is effected by: increasing the parasympathetic input to said patient's heart, such as by electrically stimulating a parasympathetic nervous structure, applying cooling energy to a sympathetic nervous structure, or administering a cholinergic or a sympatho-blocking agent to said patient. We also report a medical device system configured to implement the method. We also report a non-transitory computer readable program storage unit encoded with instructions that, when executed by a computer, perform the method.