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The alveolar gas equation
ОглавлениеAn understanding of the relationship between PaCO2 and PaO2 is critical to the interpretation of blood gases (see Chapter 3). The relationship can be summarised in an equation known as the alveolar gas equation.
Pure underventilation leads to an increase in PaCO2 and a ‘proportionate’ fall in PaO2. This is known as type 2 respiratory failure.
A disturbance in V/Q matching leads to impaired gas exchange with a fall in PaO2 but no change in PaCO2. This is known as a type 1 respiratory failure.
Because these two problems can occur simultaneously, the alveolar gas equation is needed to determine whether an observed fall in PaO2 can be accounted for by underventilation alone or whether there is also an intrinsic problem with the lungs (impairing gas exchange).
Rather than merely memorise the alveolar gas equation, spend just a moment here understanding its derivation (this is not a rigorous mathematical derivation, merely an attempt to impart some insight into its meaning).
Imagine a lung, disconnected from the circulation, being ventilated. Clearly, in a short space of time, PAO2 will come to equal the partial pressure of oxygen in the inspired air (PIO2):
In real life, the pulmonary circulation is in intimate contact with the lungs and is continuously removing O2 from the alveoli. The alveolar partial pressure of O2 is therefore equal to the partial pressure in the inspired air minus the amount removed.
If the exchange of oxygen for carbon dioxide were a 1:1 swap then the amount of O2 removed would equal the amount of CO2 added to the alveoli and the equation would become:
The CO2:O2 exchange, as already discussed, is, however, not usually 1:1. The RQ is usually taken to be 0.8.
Thus:
As CO2 is a very soluble gas, PACO2 is virtually the same as PaCO2. PaCO2 (available from the blood gas measurement) can therefore be used in the equation in place of PACO2:
This is (the simplified version of ) the alveolar gas equation. If PIO2 is known then PAO2 can be calculated.
But, so what? What do we do with the PAO2?
Unlike in the case of CO2, there is normally a difference between alveolar and arterial PO2 (which should be the greater?). The difference PAO2 − PaO2 is often written PA–aO2 and is known as the alveolar–arterial (A–a) gradient. In healthy young adults, breathing air, this gradient is small; it would be expected to be comfortably less than 2 kPa. If the gradient is greater than this then the abnormality in the blood gas result cannot be accounted for by a change in ventilation alone; there must be an abnormality intrinsic to the lung or its vasculature causing a disturbance of V/Q matching. For examples, see the multiple choice questions at the end of the chapter.