A-a gradient

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The Alveolar-arterial gradient (A-a gradient), is used to compare the causes of hypoxemia.

[edit] A-a gradient Equation

A - a gradient = PAO2 - PaO2

Where:
PAO2 = alveolar PO2 (calculated from the alveolars gas equation)
PaO2 = arterial PO2 (measured in arterial blood A-a gradient)

[edit] The Alveolar Gas equation:

PAO2 = PIO2 - PaCO2/R

Where:
PIO2 = FIO2 x (760 mmHg - 47mmHg) = inspired O2
       - FIO2 = 21% at sea level atmospheric pressure = 0.21
       - 760 mmHg = atmospheric pressure at sea level
       - 47 mmHg = H2O pressure
PaCO2 = arterial PCO2 measured in plasma
R = respiratory exchange ratio or respiratory quotient = 0.8 under normal conditions

[edit] Values and Meaning:

The normal A-a gradient is < 10 mmHg, but can range from 5-20 mmHg in a normal individual. The determination of a normal A-a gradient also increases with age: For every decade a person has lived, the cutoff for a normal A-a gradient increases by 1mmHg. Therefore, while an A-a gradient in a 20 year old is likely pathological, the same A-a gradient in an 80 year old patient isn't necessarily pathological. An increased A-a gradient suggests a diffusion defect, V/Q (ventilation/perfusion) defect, or right-to-left shunt.1


1Costanzo, Linda (2006). BRS Physiology. Hagerstwon: Lippincott Williams & Wilkins. ISBN 0781773113.