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In this study, we present a framework to simulate multi-scale wave propagation of ischemia which leverages the high-performance computing capacity of Graphic Processing Units (GPU). To cope with the no-flux boundary condition and address the branch deficiency, a phase-field method is employed. An on-the-fly visualization method of two dimensional simulation results is proposed. A fusion volume visualization method of both simulation result and anatomy structure data is provided to show ischemia with supporting spatial information in the heart. The experimental results show that the speedup of our GPU-based simulation method is about at least 20 times faster than that of conventional CPU-based simulation method.