A modified Mc3 antibody that binds to BA46 antigen of human milk fat globule (IIMFG) wherein the sequence of the parent Mc3 heavy chain variable region is SEQ ID NO. 76 and the sequence of the parent Mc3 light chain variable region is SEQ ID NO. 79, said antibody comprsing both a light chain variable region and a heavy chain variable region, wherein at least one variable region is selected from the group consisting of a humanized Mc3 heavy chain variable region and a humanized Mc3 light chain variable region, wherein said humanized Mc3 heavy chain variable region is an Mc3 heavy chain variable region comprising at least one amino acid that has been substituted with a different amino acid in the corresponding position from a human heavy chain variable region consensus sequence, and said humanized Mc3 light chain variable region is an Mc3 light chain variable region comprising at least one amino acid that has been substituted with a different amino acid in the corresponding position from a human light chain variable region consensus sequence, wherein the sequence of the human heavy chain variable region consensus sequence is the sequence in SEQ ID NO. 77, and the scquence of the human light chain variable region consensus sequence is the sequence in SEQ ID NO. 80, and wherein said at least one amino acid that has been substituted is neither contained in a CDR, nor in contact with a CDR, nor in contact with an opposing variable region of Mc3 antibody.