A 32-year-old woman with type 1 diabetes presents with abdominal pain, nausea and polyuria. She has missed several insulin doses. Vitals: heart rate 118/min, blood pressure 102/64 mm Hg, respiratory rate 28/min with Kussmaul breathing. Capillary glucose is 25 mmol/L, venous pH 7.15 and serum ketones markedly elevated. After initial fluid resuscitation and potassium assessment, which insulin regimen is recommended?