Step 1: Understanding the patient's presentation.
The patient presents with a significant drop in platelet count (thrombocytopeni after being on heparin infusion. This drop, occurring on the 6th day of treatment, with no signs of infection or sepsis, strongly suggests Heparin-induced thrombocytopenia (HIT). HIT is a known complication of heparin therapy, where the body forms antibodies against heparin-bound platelet factor 4 (PF4), leading to platelet activation and consumption. This results in thrombocytopenia, and in some cases, an increased risk of thromboembolic events.
Step 2: Conclusion.
The most likely cause of this patient's thrombocytopenia is Heparin-induced thrombocytopenia (HIT).