A calcitonin gene-related peptide (CGRP) compound can be selected from N-alpha-[2-(2-{2-[(S)-4-carboxy-4-(17-carboxyheptadecanoylamino)-butyrylamino]ethoxy}ethoxy)acetyl][Ser1]alpha-human CGRP peptide (α-CGRP-analogue), or derivatives thereof; or N-alpha-[2-(2-{2-[(S)-4-carboxy-4-(17-carboxyheptadecanoylamino)butyryl-amino]-ethoxy}ethoxy)acetyl][Ser1]beta-human CGRP peptide (β-CGRP-analogue), or derivatives thereof. The CGRP compound can be used to induce myocardial perfusion recovery, in connection with AMI, by activating any CGRP family of receptors with a larger CGRP compound: CGRP potency ratio in the coronary artery than in the mesenteric artery.