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Zorluk: ZorInterpreting Laboratory Results

A 41-year-old man is brought to the emergency department by ambulance after being found obtunded in an alleyway. Medical records indicate a history of severe alcohol use disorder and major depressive disorder. Vital signs are temperature 36.1°C (97.0°F), blood pressure 105/65 mm Hg, pulse 112/min, and respirations 24/min. Physical examination shows a somnolent man who arouses only to painful stimuli. Pupils are equal and reactive. Cardiopulmonary examination is unremarkable.

Laboratory results are as follows:

TestResultReference Range
Sodium138 mEq/L136-145 mEq/L
Potassium4.8 mEq/L3.5-5.0 mEq/L
Chloride100 mEq/L95-105 mEq/L
Bicarbonate14 mEq/L22-28 mEq/L
Blood urea nitrogen14 mg/dL7-18 mg/dL
Creatinine1.3 mg/dL0.6-1.2 mg/dL
Glucose90 mg/dL70-110 mg/dL
Ethanol138 mg/dL0 mg/dL
Serum osmolality (measured)345 mOsm/kg H2O275-295 mOsm/kg H2O

Arterial blood gas analysis on room air reveals:
pH: 7.23
PaCO2: 28 mm Hg
PaO2: 96 mm Hg

Based on the laboratory results provided, calculate the patient's osmolar gap.

Cevap: 29 mOsm/kg H2O

Cevap

29
The osmolar gap is the difference between the directly measured serum osmolality and the calculated serum osmolality. When evaluating a patient for toxic alcohol ingestion, any known ethanol must be included in the calculation to isolate the gap caused specifically by unmeasured toxins like methanol or ethylene glycol. The standard formula using US units (mg/dL) is: Calculated Osmolality = 2[Na+]+Glucose18+BUN2.8+Ethanol4.62[\text{Na}^+] + \frac{\text{Glucose}}{18} + \frac{\text{BUN}}{2.8} + \frac{\text{Ethanol}}{4.6}. Using the provided laboratory values, this equals 2(138)+9018+142.8+1384.6=276+5+5+30=316 mOsm/kg H2O2(138) + \frac{90}{18} + \frac{14}{2.8} + \frac{138}{4.6} = 276 + 5 + 5 + 30 = 316 \text{ mOsm/kg H}_2\text{O}. Subtracting this calculated value from the measured osmolality of 345 yields an osmolar gap of 29 mOsm/kg H2O29 \text{ mOsm/kg H}_2\text{O}. An osmolar gap greater than 10-15 is generally considered abnormal and highly suggestive of an unmeasured alcohol.

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1
Determine the indication for calculating the osmolar gap.
The patient has an elevated anion gap (138−(100+14)=24138 - (100 + 14) = 24) and a history of substance abuse, raising suspicion for toxic alcohol ingestion.
An unexplained high anion gap metabolic acidosis requires calculation of the osmolar gap to identify hidden osmotically active substances.
2
Calculate the theoretical serum osmolality using the standard formula.
2(138)+9018+142.8+1384.6=276+5+5+30=316 mOsm/kg H2O2(138) + \frac{90}{18} + \frac{14}{2.8} + \frac{138}{4.6} = 276 + 5 + 5 + 30 = 316 \text{ mOsm/kg H}_2\text{O}.
This formula accounts for the primary solutes in the blood, including ethanol, which is known to be present in this patient.
3
Determine the osmolar gap.
Measured osmolality (345) - Calculated osmolality (316) = 29 mOsm/kg H2O29 \text{ mOsm/kg H}_2\text{O}.
The difference between measured and calculated osmolality reveals the concentration of unmeasured osmotically active agents.

Anahtar Kavram

Calculation and interpretation of the osmolar gap in the presence of ethanol.
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