The invention relates to novel molecules that can modulate one of the mechanisms leading to the massive deposition of cholesterol in the cardiomyocytes and/or in the smooth muscle cells of the vascular wall, during acute myocardial infarction or other clinical situations involving ischaemia. The invention also shows that the blockage of LRP1 by means of certain agents, including a recombinant expression vector, an RNAi, an antibody, a siRNA etc., prevents the overaccumulation of esterified cholesterol in the cardiomyocytes and/or in the smooth muscle cells of the vascular wall exposed to ischaemia. The invention also relates to the use of said molecules in the treatment and/or prevention of the changes in the metabolism of calcium and cardiac remodeling associated with ischaemia.