If the compensation is less or greater than expected (or predicted by the equation), a second acid-base disorder will be present in addition to the primary disorder. Such a situation is called a mixed disorder. For example:
-If PaCO2 is too low, there is an additional respiratory alkalosis; If PaCO2 is too high, there is an additional respiratory acidosis.
-If the HCO3 is too low, there is an additional metabolic acidosis; If the HCO3  is too high, there is an additional metabolic alkalosis.
NB: Because a person cannot hypoventilate and hyperventilate at the same time, one cannot simultaneously have a respiratory acidosis and respiratory alkalosis.

Related article: Acid-Base Nomogram.

Compensation for Acid-Base Disorders
Primary Disorder
Compensatory Process Expected Compensation
Metabolic acidosis A decrease in pH (within the arteries and CSF) leads to increased stimulation of the medullary chemoreceptors. This leads to an increase in RR and/or TV which leads to increased exhalation of CO2 PaCO2 = 1.2 x ΔHCO3
or PaCO2 = (1.5 x HCO3– ) + 8 ± 2 (Winter’s Formula, see here on MDCalc.com)
also, PaCO2 ≈ the last 2 digits of the pH
Metabolic alkalosis
An increase in pH (within the arteries and CSF) leads to a decreased stimulation of the medullary chemoreceptors. This leads to a decrease in RR and/or TV which leads to decreased exhalation of CO(or increased retention of CO2). PaCO2 = 0.7 x ΔHCO3
Respiratory acidosis Acute Whole-body buffering in blood, without significant renal compensation HCO3 = 0.1 x ΔPaCO2
Chronic increased H+secretion by the kidneys (which increases the serum [HCO3]). Also increased reabsorption of bicarb in the kidneys. HCO3 = 0.35 x ΔPaCO2
Respiratory alkalosis Acute Whole-body buffering in blood, without significant renal compensation HCO3 = 0.2 x ΔPaCO2
Chronic Increased H+retention (.i.e. ↓ H+ excretion) by the kidneys, which decreases serum HCO3. Also ↓ reabsorption of bicarb in the kidneys. HCO3 = 0.4 x ΔPaCO2

RR= Respiratory rate; TV=Tidal volume

Note: The change (Δ) in bicarb, ΔHCO3, or the change in the partial pressure of carbon dioxide, ΔPaCO2, is the difference between expected normal value and the value that is measured. E.g. in a patient w/ metabolic acidosis, the ΔHCO3 is the difference between bicarb as seen on the ABG and what would be considered normal bicarb for the pt ( e.g. 24 mEq/L). That is, ΔHCO3 = (24 – HCO3). In the same way, ΔPaCO2 = (40 – PaCO2). You are just looking for the difference, so if the result is negative, you drop the negative sign.

The PaCO2 or PaCO2  or  HCO3 or   HCO3 in the expected compensation formulas, the part before the equal to sign, essential means change (Δ). It is calculated the same way as the Δ. For example, PaCO2 = (40 –  PaCO2 ); HCO3 = (HCO3 – 24).

References / Resources

https://www.amboss.com/us/knowledge/Acid-base_disorders

Secondary responses to altered acid-base status: the rules of engagement. J Am Soc Nephrol. 2010 Jun;21(6):920-3. https://jasn.asnjournals.org/content/21/6/920

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