Which condition is presented by renal dysfunction, lived reticularis, and digital ischemia after coronary angiography?

The condition characterized by renal dysfunction, livedo reticularis, and digital ischemia following coronary angiography is cholesterol embolism. This syndrome occurs when cholesterol crystals from atherosclerotic plaques break off and occlude small blood vessels, leading to tissue ischemia and subsequent symptoms which include the livedo reticularis (a modeling of the skin), renal impairment, and ischemia in fingers and toes.

In the context of coronary angiography, the procedure can dislodge these cholesterol crystals, particularly in patients with significant atherosclerotic disease. This can lead to acute symptoms as emboli travel and obstruct capillaries and arterioles, causing the clinical manifestations observed.

Acute pancreatitis, while a serious condition, does not specifically present with the combination of livedo reticularis and digital ischemia. Obstructive sleep apnea primarily affects breathing during sleep and is not typically associated with the described vascular issues. MEN1 syndrome involves multiple endocrine tumors and does not correlate with these vascular complications. Thus, cholesterol embolism stands out as the explanation for this clinical scenario.