The invention relates to a peptide dendrimer described by a general formula X-(B2-[Y2]S-D1)2-B1-Z, wherein X is (D2)4 or (D3)8-(B3-[Y3]r-D2)4 or a higher analogue, Y is a linkage moiety, Z is a central moiety each B denotes a diaminoalkylcarboxylic acid moiety each D is a hydrophobic or cationic amino acid, or a di- or tripeptide composed of hydrophobic and cationic amino acids, for use as a pharmaceutical.