Final answer:
The symptoms of periorbital edema, hematuria, and hypertension, along with elevated BUN and Cr, suggest a diagnosis of glomerulonephritis, likely in the context of a severe infection or systemic disease.
Step-by-step explanation:
The patient's presentation of periorbital edema, hematuria, and hypertension (HTN), with a recent history of cellulitis and elevated blood urea nitrogen (BUN) and creatinine (Cr) suggests a diagnosis of glomerulonephritis, possibly post-infectious or secondary to a more systemic infection like sepsis. In the described scenario where antibiotic treatment and removal of a venous catheter did not improve the patient's condition and they progressed to shock, hepatic and renal failure, a severe infection leading to systemic complications including renal impairment is likely.
It's important in such cases to assess for underlying causes, such as recent severe infections like necrotizing fasciitis or systemic inflammatory diseases. Therefore, a multifaceted approach including imaging, culture, and serological testing may be necessary to establish a definitive diagnosis and guide treatment.