Compositions of the invention, including compounds that bind to a receptor for a glucagon-like peptide-1, an incretin, a glucagon-like peptide-1 (GLP-1), an exendin, or an agonist, an analog (preferably an agonist analog), a derivative, or a variant of any of aforementioned compounds, are used in the prevention and treatment of arrhythmias associated with cardiac ischemia, cardiac ischemia-perfusion and/or congestive heart failure. The invention relates to both the method and compositions for such treatment.