A peptide of general formula R 1 -W n -X m -AA 1 -AA 2 -AA 3 -AA 4 -Y p -Z q -R 2 its stereoisomers, mixtures thereof and/or its cosmetically or pharmaceutically acceptable salts, characterized in that: AA 1 is -His-; AA 2 is selected from the group consisting of -His-, -Leu- and -Pro- AA 3 is -Leu-; AA 4 is selected from the group consisting of -Arg- and -Asn-; W, X, Y and Z are independently selected from amongst themselves from the group consisting of the codified amino acids and uncodified amino acids; n, m, p and q are independently selected from amongst themselves and have a value between 0 and 1; n+m+p+q is less or equal to 2; R 1 is selected from the group consisting of H, substituted non-cyclic aliphatic group selected from the group of acetyl, tert-butanoyl, hexanoyl, 2-methylhexanoyl, octanoyl, decanoyl, lauroyl, myristoyl, palmitoyl, stearoyl, oleoyl and linoleoyl, or unsubstituted non-cyclic aliphatic group, substituted or unsubstituted alicyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted heteroarylalkyl, substituted or unsubstituted aryl, substituted or unsubstituted aralkyl and R 5 -CO- wherein R 5 is selected from the group consisting of H, unsubstituted non-cyclic aliphatic group, substituted or unsubstituted alicyclyl, unsubstituted aryl, unsubstituted aralkyl, substituted or unsubstituted heterocyclyl and unsubstituted heteroarylalkyl; R 2 is selected from the group consisting of -NR 3 R 4, -OR 3 and -SR 3, wherein R 3 and R 4 are independently selected from the group consisting of H, substituted or unsubstituted non-cyclic aliphatic group, substituted or unsubstituted alicyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted heteroarylalkyl, substituted or unsubstituted aryl, substituted or unsubstituted aralkyl; with the proviso that when AA 2 is -Leu-, AA 4 is -Asn- and Y is -Gln- then Z is not -Leu-; and with the proviso that when AA 2 is -His-, AA 4 is -Arg- and Y or Z are - Tyr- then p+q is not 1. AA 1 is -His-; AA 2 is selected from the group consisting of -His-, -Leu- and -Pro- AA 3 is -Leu-; AA 4 is selected from the group consisting of -Arg- and -Asn-; W, X, Y and Z are independently selected from amongst themselves from the group consisting of the codified amino acids and uncodified amino acids; n, m, p and q are independently selected from amongst themselves and have a value between 0 and 1; n+m+p+q is less or equal to 2; R 1 is selected from the group consisting of H, substituted non-cyclic aliphatic group selected from the group of acetyl, tert-butanoyl, hexanoyl, 2-methylhexanoyl, octanoyl, decanoyl, lauroyl, myristoyl, palmitoyl, stearoyl, oleoyl and linoleoyl, or unsubstituted non-cyclic aliphatic group, substituted or unsubstituted alicyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted heteroarylalkyl, substituted or unsubstituted aryl, substituted or unsubstituted aralkyl and R 5 -CO- wherein R 5 is selected from the group consisting of H, unsubstituted non-cyclic aliphatic group, substituted or unsubstituted alicyclyl, unsubstituted aryl, unsubstituted aralkyl, substituted or unsubstituted heterocyclyl and unsubstituted heteroarylalkyl; R 2 is selected from the group consisting of -NR 3 R 4, -OR 3 and -SR 3, wherein R 3 and R 4 are independently selected from the group consisting of H, substituted or unsubstituted non-cyclic aliphatic group, substituted or unsubstituted alicyclyl, substituted or unsubstituted heterocyclyl, substituted or unsubstituted heteroarylalkyl, substituted or unsubstituted aryl, substituted or unsubstituted aralkyl; with the proviso that when AA 2 is -Leu-, AA 4 is -Asn- and Y is -Gln- then Z is not -Leu-; and with the proviso that when AA 2 is -His-, AA 4 is -Arg- and Y or Z are - Tyr- then p+q is not 1.