A catastrophe-theoretic approach is provided for predicting an occurrence of an ischemic myocardial event (e.g., acute myocardial infarction) for a human patient based on a time series of monitored vital signs values measured from a patient, and in some instances, for providing advanced notice to clinicians or caregivers when such an ischemic event is forecasted or modifying treatment for the patient, according to the predicted likelihood. In particular, an ischemic heart disease management system is provided for determining a likelihood of near-term future significant myocardial ischemia in persons with coronary artery disease. Embodiments of the disclosure described herein may provide a forecasted risk for future significant myocardial ischemia within a time horizon comprising a future time interval. In one embodiment, the future time interval is from 30 min to approximately 4 hours into the future, and may be dependent on the frequency of vital signs measurements.