Final answer:
The most likely diagnosis for the boy with hemarthrosis, prolonged aPTT, and normal PT and TT is Hemophilia B, which involves a deficiency of factor IX and is inherited in an X-linked recessive manner.
Step-by-step explanation:
The most likely diagnosis for a 16-year-old boy with marked hemarthrosis of the knee, a history of similar episodes, prolonged activated partial thromboplastin time (aPTT), and normal prothrombin time (PT) and thrombin time (TT), would be Hemophilia B. This disorder is characterized by a deficiency in clotting factor IX, which is needed for blood to clot properly. Hemophilia B is inherited in an X-linked recessive pattern, affecting mainly males. Patients with this condition have a tendency to bleed from minor wounds and may experience spontaneous bleeding into joints, muscles, and other tissues.
Hemophilia A should also be considered in such cases as it is more common and involves a deficiency of factor VIII. However, given the specific laboratory results and the common presentation, Hemophilia B is the most likely diagnosis among the options provided. The other options, such as vitamin K deficiency or von Willebrand disease, tend to affect different components of the clotting cascade or present with additional laboratory abnormalities not seen in this case.