Soru

Zorluk: ZorNephrology

A 60-year-old man is brought to the emergency department by a neighbor who found him lethargic and confused in his apartment. The neighbor notes that the patient has a history of severe alcohol use disorder and has been drinking heavily for the past week. He has also had multiple episodes of non-bilious vomiting over the last three days. Physical examination reveals dry mucous membranes and decreased skin turgor. Laboratory studies are obtained:

Laboratory StudyResult
Serum sodium140 mEq/L140\text{ mEq/L}
Serum potassium3.2 mEq/L3.2\text{ mEq/L}
Serum chloride88 mEq/L88\text{ mEq/L}
Serum bicarbonate16 mEq/L16\text{ mEq/L}
Blood urea nitrogen (BUN)45 mg/dL45\text{ mg/dL}
Serum creatinine1.8 mg/dL1.8\text{ mg/dL}
Blood glucose65 mg/dL65\text{ mg/dL}

Arterial blood gas on room air reveals a pH of 7.307.30 and PaCO 2_2 of 32 mm Hg32\text{ mm Hg}.

Calculate the patient's delta-delta ratio, defined as the change in anion gap divided by the change in serum bicarbonate (ΔAGΔHCO3−\frac{\Delta \text{AG}}{\Delta \text{HCO}_3^-}). Assume a normal anion gap of 12 mEq/L12\text{ mEq/L} (calculated without potassium) and a normal serum bicarbonate of 24 mEq/L24\text{ mEq/L}.

Cevap: 3

Cevap

3
The patient presents with alcoholic ketoacidosis (AKA) from heavy alcohol use, which generates a high anion gap metabolic acidosis. He also has a concurrent metabolic alkalosis from severe vomiting (loss of gastric HCl). The delta-delta ratio quantifies the relationship between the accumulation of unmeasured anions and the consumption of bicarbonate. An anion gap of 36 mEq/L yields a ΔAG of 24, while the bicarbonate of 16 mEq/L yields a ΔHCO3 of 8. The resulting ratio of 3.0 (which is > 2.0) mathematically confirms the presence of a superimposed metabolic alkalosis, as the rise in unmeasured anions significantly exceeds the drop in bicarbonate.

Adım Adım Çözüm

1
Calculate the patient's current anion gap (AG).
AG = 140 - (88 + 16) = 36 mEq/L
The anion gap is needed to determine the presence of a high anion gap metabolic acidosis (HAGMA) and to calculate the numerator of the delta-delta ratio.
2
Calculate the change in anion gap (ΔAG).
ΔAG = Measured AG - Normal AG = 36 - 12 = 24 mEq/L
This value represents the excess unmeasured anions contributing to the acidosis.
3
Calculate the change in serum bicarbonate (ΔHCO3-).
ΔHCO3- = Normal HCO3- - Measured HCO3- = 24 - 16 = 8 mEq/L
This value represents the amount of bicarbonate buffered by the excess acid.
4
Calculate the delta-delta ratio.
Delta Ratio = ΔAG / ΔHCO3- = 24 / 8 = 3
The delta-delta ratio helps identify concurrent metabolic acid-base disorders.

Anahtar Kavram

The delta-delta ratio is used in the evaluation of high anion gap metabolic acidosis to identify concurrent mixed metabolic acid-base disorders; a ratio greater than 2.0 indicates a superimposed metabolic alkalosis.
Bu soruyu puanla

Konular