A ratio of rare cells to non-rare cells in a blood sample suspected of containing rare cells and non-rare cells is enhanced. A treated blood sample is prepared by providing in combination the blood sample, a platelet deactivation agent, a fibrin-formation-arresting agent and fibrin in an amount sufficient to cause a predetermined level of agglutination of the rare cells. The treated blood sample is then contacted with a porous matrix such that agglutinated rare cells are preferentially retained on the porous matrix. The rare cells may then be identified.
