A nanoparticle includes a core. The core includes a bio-resorbable polyester and a hydrophilic polymer. The hydrophilic polymer is a portion of the bio-resorbable polyester or a separate polymer. An acylated human lactoferrin-derived peptide is coated onto the core. The acylated human lactoferrin-derived peptide is a peptide with the amino acid sequence SEQ ID NO. 1: KCFQWQRNMRKVRGPPVSCIKR or an amino acid sequence, which does not differ by more than 8 amino acid positions from the sequence SEQ ID NO: 1. The N-terminus of the human lactoferrin-derived peptide is acylated with a C16-monoacyl group.