Systems, catheters, and related methods for mapping, minimizing, and treating cardiac fibrillation in a patient are configured to provide a map of one or more measurements indicative of a number of electrical circuit cores and distribution of the electrical circuit cores for a duration across a cardiac tissue substrate in the patient's heart in response to electrical activity in the cardiac tissue substrate, the map being registered onto a representation of the patient's heart, to identify at least one region of the cardiac tissue substrate having a number of electrical circuit cores that is higher than a predetermined density threshold, to generate a first sample set of lesions.
