A 56-year-old man is evaluated in the hospital for acute onset right lower extremity pain and swelling. He was admitted to the hospital 2 days ago with hematemesis and underwent emergent upper endoscopy with band ligation of extensive esophageal varices. He received 2 units of packed red blood cells. Medical history is significant for alcoholic cirrhosis. He stopped drinking alcohol 18 months ago. His only outpatient medication is propranolol.
On physical examination, he is alert and oriented. He is afebrile, blood pressure is 128/76 mm Hg, pulse rate is 82/min, and respiration rate is 16/min. Splenomegaly is present. The right calf is 4 cm in circumference larger than the left. The remainder of the physical examination is noncontributory.
Activated partial thromboplastin time | 39.3 s |
Hemoglobin | 10.3 g/dL (103 g/L) |
Platelet count | 78,000/µL (78 × 109/L) |
Prothrombin time | 16.3 s |
A lower extremity Doppler ultrasonography reveals a right leg proximal deep venous thrombosis (DVT).
Which of the following is the most appropriate management of this patient's DVT?