A compound of general formula (I): R1-Wn-Xm-AA1-AA2-AA3-AA4-AA5-AA6-AA7-Yp-Zq-R2 (I) its stereoisomers, mixtures thereof and / or their salts cosmetically or pharmaceutically acceptable, characterized in that: AA1 is selected from the group consisting of -Arg-, -Lys-, -Gln-, -Asn-, -Glu- and -Asp-; AA2 is selected from the group consisting of -His-, -Gln-, -Asn-, -Glu- and -Asp-; AA3 is selected from the group consisting of -Leu- and -Phe-; AA4 is selected from the group consisting of -Lys- and -Leu-; AA5 is selected from the group consisting of -Arg-, -His-, -Lys-, -Gln-, -Asn-, -Glu- and -Asp-; AA6 is -Trp -; AA7 is selected from the group consisting of -Met-, -MetO- and -MetO2-; W, X, Y, Z are amino acids and are independently selected from themselves; n, m, p and q are independently selected from each other and have a value of 0 or 1; n + m + p + q is less than or equal to 2; R1 is selected from the group consisting of H, a polymer derived from polyethylene glycol, a substituted or unsubstituted non-cyclic aliphatic group, substituted or unsubstituted alicyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted heteroarylalkyl, substituted or unsubstituted aryl, aralkyl substituted or unsubstituted and R5-CO-, wherein R5 is selected from the group consisting of H, a substituted or unsubstituted non-cyclic aliphatic group, substituted or unsubstituted alicyclyl, substituted or unsubstituted aryl, substituted or unsubstituted aralkyl, substituted or unsubstituted heterocyclyl and substituted or unsubstituted heteroarylalkyl; R2 is selected from the group consisting of -NR3R4, -OR3 and -SR3, wherein R3 and R4 are independently selected from the group consisting of H, a polymer derived from polyethylene glycol, a substituted or unsubstituted non-cyclic aliphatic group, substituted alicyclyl, or unsubstituted, substituted or unsubstituted heterocyclyl, substituted or unsubstituted heteroarylalkyl, substituted or unsubstituted aryl, and substitut