A method and medicament for treating and preventing platelet activation or thrombosis in the presence of heparin- and platelet factor 4-complex reactive antibodies using a 2-O desulfated heparin with an average degree of sulfation of 0.6 sulfate groups per monosaccharide or greater and an average molecular weight or 2.4 kD or greater. The medicament preferably is administered intravenously, by aerosolization or orally. Preferably, the 2-O desulfated heparin medicament includes a physiologically acceptable carrier which may be selected from the group consisting of physiologically buffered saline, normal saline, and distilled water. Additionally provided is a method of synthesizing 2-O desulfated heparin.