The present invention relates to a polymyxin derivative wherein R1, R2 and R3 are optional and R1, R2, R3, R5, R8 and R9 are cationic or neutral amino acid residues selected so that the total number of positive charges at physiological pH is at least two but no more than three； and to a combination product comprising at least two such derivatives. The invention further relates to a method for treating, alleviating or ameliorating an infection in a subject, caused by a Gram-negative bacterium by administering a therapeutically effective amount of a derivative according to the present invention to said subject； to a method for sensitizing Gram-negative bacteria to an antibacterial agent by administering, simultaneously or sequentially in any order a therapeutically effective amount of said antibacterial agent and a derivative according to the present invention to said subject； to methods for developing novel antibiotics； for reducing the nephrotoxicity, for improving the pharmacokinetic properties of natural polymyxins and octapeptins； and for sensitizing clinically important bacteria to a host defence mechanism complement present in serum. Finally, the invention relates to a process for preparing such polymyxin derivatives.
