A novel therapy concept based on a removal of circulating BSP (bone sialoprotein) from the plasma of patients with chronic kidney disease (CKD) or highly at risk of developing arterial and vascular calcifications. The method comprises method of treatment of extracellular tissue and vascular calcifications, atherosclerosis, arteriosclerosis, and arterial calcification. The beneficial effects of this therapy have been proven by the observed correspondence between levels of circulating free BSP levels and mortality of CKD patients as well as in animal models.