A 38-year-old man is evaluated in the hospital for increasing right leg pain and swelling. He experienced a right femur fracture 2 days ago and underwent surgical repair. Medical history is unremarkable, but family history reveals his mother experienced a pulmonary embolism at age 66 years while receiving breast cancer treatment, and a maternal uncle had a “leg clot” at age 82 years. Medications are as-needed oxycodone and prophylactic-dose enoxaparin.

On physical examination, vital signs are normal. The right leg shows increased circumference of 2 cm at the midcalf compared with the left. The surgical site is clean and dry.

Laboratory studies show normal activated partial thromboplastin and prothrombin times.

Doppler ultrasonography shows a right proximal leg deep venous thrombosis.

Which of the following is the most appropriate thrombophilia testing for this patient?