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Zorluk: KolayNephrology

A 45-year-old man with a history of poorly controlled type 2 diabetes mellitus is brought to the emergency department due to confusion, nausea, and abdominal pain for the past 2 days. He has missed his last several doses of insulin. His temperature is 37.1°C (98.8°F), blood pressure is 100/65 mm Hg, pulse is 112/min, and respirations are 24/min. Physical examination shows dry mucous membranes and a fruity breath odor.

Laboratory studies show:

Laboratory TestResult
Sodium142 mEq/L
Potassium4.8 mEq/L
Chloride102 mEq/L
Bicarbonate14 mEq/L
Blood urea nitrogen25 mg/dL
Creatinine1.4 mg/dL
Glucose450 mg/dL

What is this patient's serum anion gap (in mEq/L)?

Cevap: 26 mEq/L

Cevap

26
The serum anion gap is calculated using the formula: Anion Gap=Na+−(Cl−+HCO3−)\text{Anion Gap} = \text{Na}^+ - (\text{Cl}^- + \text{HCO}_3^-). Using the patient's laboratory values, the calculation is 142−(102+14)=142−116=26142 - (102 + 14) = 142 - 116 = 26 mEq/L. A normal anion gap is typically between 8 and 12 mEq/L. This patient has an elevated anion gap of 26 mEq/L, consistent with high anion gap metabolic acidosis secondary to diabetic ketoacidosis.

Adım Adım Çözüm

1
Identify the formula for serum anion gap.
Anion Gap=Na+−(Cl−+HCO3−)\text{Anion Gap} = \text{Na}^+ - (\text{Cl}^- + \text{HCO}_3^-)
This is the standard formula used to evaluate the etiology of metabolic acidosis.
2
Extract the necessary serum electrolyte values from the vignette.
Na+=142\text{Na}^+ = 142, Cl−=102\text{Cl}^- = 102, HCO3−=14\text{HCO}_3^- = 14.
These are the three variables required for the calculation.
3
Perform the calculation.
142−(102+14)=142−116=26142 - (102 + 14) = 142 - 116 = 26.
To determine the exact numerical value of the anion gap.

Anahtar Kavram

Calculation of the serum anion gap in the evaluation of metabolic acidosis
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