The present invention embodies: methods; compounds, their pharmaceutically acceptable analogs, isomer, salts, hydrates, solvates and prodrug derivatives, and pharmaceutically acceptable compositions thereof that have particular biological properties; devices; diagnostic and other assays; and the uses of such methods, compounds, devices and assays. Common throughout these embodiments is specific selective reduction of intravascular thromboplastin antecedent activity, which results in a safe antithrombotic effect. A particularly prominent application or the invention relates to diagnosis and treatment of patients which have, or are at risk of, developing thrombosis, thrombotic injury, or vaso-occlusive diseases, such as myocardial infarction, stroke, restenosis after angioplasty, thrombotic diseases, etc. Another particularly prominent feature of the present invention is its high level of hemostatic safety at optimal efficacy. Also, the present invention is compatible for use in combination with other traditional therapeutic agent such as another antithrombotic, antiplatelet, thrombolytic, or anticoagulant agents.