Soru

Zorluk: OrtaNephrology

A 35-year-old automobile mechanic is evaluated in the emergency department for altered mental status. His spouse reports finding him confused and stumbling in their unventilated garage. Vital signs show a blood pressure of 132/82 mm Hg, a pulse of 98/min, and a respiratory rate of 26/min. He appears lethargic and is oriented only to person.

Laboratory studies reveal the following:

Laboratory StudyResult
Sodium140 mEq/L
Potassium4.5 mEq/L
Chloride105 mEq/L
Bicarbonate12 mEq/L
Blood urea nitrogen (BUN)14 mg/dL
Creatinine1.2 mg/dL
Glucose90 mg/dL

The patient's measured serum osmolality is 330 mOsm/kg H₂O.

What is this patient's calculated serum osmolar gap (in mOsm/kg H₂O)?

Cevap: 40 mOsm/kg H₂O

Cevap

The patient's calculated serum osmolar gap is 40 mOsm/kg H₂O.
The patient presents with altered mental status and a high anion gap metabolic acidosis (Anion Gap = 140−[105+12]=23140 - [105 + 12] = 23), raising high clinical suspicion for toxic alcohol ingestion, such as ethylene glycol or methanol. To further evaluate this, the serum osmolar gap must be calculated. The osmolar gap is the difference between the measured serum osmolality (provided by the laboratory) and the calculated serum osmolality.

Using conventional units (mg/dL), the calculated osmolality is determined by the formula:

Calculated Osmolality=2[Na+]+BUN2.8+Glucose18{\text{Calculated Osmolality}} = 2[\text{Na}^+] + \frac{\text{BUN}}{2.8} + \frac{\text{Glucose}}{18}

Substituting the patient's values:

Calculated Osmolality=2(140)+142.8+9018=280+5+5=290 mOsm/kg H2O{\text{Calculated Osmolality}} = 2(140) + \frac{14}{2.8} + \frac{90}{18} = 280 + 5 + 5 = 290 \text{ mOsm/kg H}_2\text{O}

Next, the osmolar gap is computed:

Osmolar Gap=Measured Osmolality−Calculated Osmolality{\text{Osmolar Gap}} = {\text{Measured Osmolality}} - {\text{Calculated Osmolality}}

Osmolar Gap=330−290=40 mOsm/kg H2O{\text{Osmolar Gap}} = 330 - 290 = 40 \text{ mOsm/kg H}_2\text{O}

A normal osmolar gap is typically less than 10 mOsm/kg H₂O. A significantly elevated osmolar gap in the setting of a high anion gap metabolic acidosis strongly supports the presence of an unmeasured osmotically active substance, aligning with a diagnosis of toxic alcohol poisoning.

Adım Adım Çözüm

1
Identify the formula for calculated serum osmolality.
Calculated Osmolality = 2×[Na+]+BUN2.8+Glucose182 \times [\text{Na}^+] + \frac{\text{BUN}}{2.8} + \frac{\text{Glucose}}{18}
This formula converts conventional units (mg/dL) of BUN and glucose into mOsm/kg and accounts for the main physiological contributors to serum osmolality.
2
Insert the patient's laboratory values into the formula to find the calculated osmolality.
Calculated Osmolality = 2×140+142.8+9018=280+5+5=2902 \times 140 + \frac{14}{2.8} + \frac{90}{18} = 280 + 5 + 5 = 290 mOsm/kg H₂O.
Determining the expected baseline osmolality is required before the gap can be derived.
3
Subtract the calculated osmolality from the measured osmolality.
Osmolar gap = 330−290=40330 - 290 = 40 mOsm/kg H₂O.
The osmolar gap quantifies the amount of unmeasured, osmotically active substances in the blood.

Anahtar Kavram

Calculation of the serum osmolar gap and its utility in identifying toxic alcohol ingestion.
Bu soruyu puanla

Konular