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Winters's formula, [1] named after R. W. Winters, [2] is a formula used to evaluate respiratory compensation when analyzing acid-base disorders in the presence of metabolic acidosis. [ 3 ] [ 4 ] It can be given as:
The amount of respiratory compensation in metabolic acidosis can be estimated using Winters' formula. [2] Hyperventilation due to the compensation for metabolic acidosis persists for 24 to 48 hours after correction of the acidosis, and can lead to respiratory alkalosis. [3] This compensation process can occur within minutes. [4]
In chronic respiratory acidosis, the PaCO 2 is elevated above the upper limit of the reference range, with a normal blood pH (7.35 to 7.45) or near-normal pH secondary to renal compensation and an elevated serum bicarbonate (HCO 3 − >30 mEq/L).
metabolic acidosis, or respiratory alkalosis with renal compensation if too low (less than −2 mEq/L) Blood pH is determined by both a metabolic component, measured by base excess, and a respiratory component, measured by PaCO 2 (partial pressure of carbon dioxide). Often a disturbance in one triggers a partial compensation in the other.
When this happens the numerator is large, the denominator is small, and the result is a delta ratio which is high (>2). This means a combined high anion gap metabolic acidosis and a pre-existing either respiratory acidosis or metabolic alkalosis (causing the high bicarbonate) – i.e. a mixed acid–base metabolic acidosis. [citation needed]
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Kussmaul breathing is respiratory compensation for a metabolic acidosis, most commonly occurring in diabetics in diabetic ketoacidosis.Blood gases of a patient with Kussmaul breathing will show a low partial pressure of CO 2 in conjunction with low bicarbonate because of a forced increased respiration (blowing off the carbon dioxide).