The present invention is related to the use of secretagogue peptides repeatedly administered as part of a pharmaceutical composition that prevent and eradicate the deposition of pathological fibrotic material in parenchymal tissues of internal organs like the liver, lungs, esophagus, small intestine, kidneys, blood vessels, joints, and other systemic forms of cutaneous fibrosis of any etiopathogenesis. Additionally, these peptides prevent and eradicate deposition of amiloid and hyaline materials in any of their correspondent chemical forms and tissue manifestations in the brain, cerebellum, blood vessels, liver, intestines, kidneys, spleen, pancreas, joints and the skin, among others. By this way, cellular, tissular and organ dysfunctions generated by these depositions are corrected. The peptides of the present invention are infiltrated or topically applied, contributing to prevent and eradicate keloids and hypertrophic scars in the skin, derived as sequelae of burns and other cutaneous trauma.