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== Equation ==
== Equation ==
The equation for calculating the A-a gradient is:

'''A-a gradient = PA<sub>O<sub>2</sub></sub> − Pa<sub>O<sub>2</sub></sub>'''<ref name="urlAlveolar-arterial Gradient">{{cite web |url=http://www-users.med.cornell.edu/~spon/picu/calc/aagrad.htm |title=Alveolar-arterial Gradient |format= |work= |accessdate=2008-11-14}}</ref>
:<math>Aa~Gradient=P_AO_2-P_aO_2</math><ref name="urlAlveolar-arterial Gradient">{{cite web |url=http://www-users.med.cornell.edu/~spon/picu/calc/aagrad.htm |title=Alveolar-arterial Gradient |format= |work= |accessdate=2008-11-14}}</ref>


Where:
Where:


* '''PA<sub>O2</sub>''' = alveolar PO<sub>2</sub> (calculated from the [[alveolar gas equation]])
* '''P<sub>A</sub>O<sub>2</sub>''' = alveolar PO<sub>2</sub> (calculated from the [[alveolar gas equation]])
::<math>P_AO_2=F_iO_2(P_{atm}-P_{H_2O})-\frac{P_aCO_2}{0.8}</math>

* '''Pa<sub>O2</sub>''' = arterial PO<sub>2</sub> (measured in arterial blood A-a gradient)


* '''P<sub>a</sub>O<sub>2</sub>''' = arterial PO<sub>2</sub> (measured in arterial blood)
In general the A-a gradient can be calculated by:
<br>
In its expanded from, the A-a gradient can be calculated by:


:<math>Aa~Gradient=\left(F_iO_2(P_{atm}-P_{H_2O})-\frac{P_aCO_2}{0.8}\right)-P_aO_2</math>
:<math>Aa~Gradient=\left(F_iO_2(P_{atm}-P_{H_2O})-\frac{P_aCO_2}{0.8}\right)-P_aO_2</math>


On Room air ( 21 % ) and at sea level, a simplified version of the equation is:
On room air ( F<sub>i</sub>O<sub>2</sub>=0.21, or 21% ) and at sea level ( P<sub>atm</sub>=760mmHg ), a simplified version of the equation is:


Aa Gradient = (150 - 5/4(PCO2)) - PaO2
:<math>Aa~Gradient=\left(150-\frac{5}{4}(P_{CO_2})\right)-P_aO_2</math>


== Values and meaning ==
== Values and meaning ==

Revision as of 02:59, 5 December 2011

Pathophysiology sample values
BMP/ELECTROLYTES:
Na+ = 140 Cl = 100 BUN = 20 /
Glu = 150
\
K+ = 4 CO2 = 22 PCr = 1.0
ARTERIAL BLOOD GAS:
HCO3 = 24 paCO2 = 40 paO2 = 95 pH = 7.40
ALVEOLAR GAS:
pACO2 = 36 pAO2 = 105 A-a g = 10
OTHER:
Ca = 9.5 Mg2+ = 2.0 PO4 = 1
CK = 55 BE = −0.36 AG = 16
SERUM OSMOLARITY/RENAL:
PMO = 300 PCO = 295 POG = 5 BUN:Cr = 20
URINALYSIS:
UNa+ = 80 UCl = 100 UAG = 5 FENa = 0.95
UK+ = 25 USG = 1.01 UCr = 60 UO = 800
PROTEIN/GI/LIVER FUNCTION TESTS:
LDH = 100 TP = 7.6 AST = 25 TBIL = 0.7
ALP = 71 Alb = 4.0 ALT = 40 BC = 0.5
AST/ALT = 0.6 BU = 0.2
AF alb = 3.0 SAAG = 1.0 SOG = 60
CSF:
CSF alb = 30 CSF glu = 60 CSF/S alb = 7.5 CSF/S glu = 0.6

The Alveolar-arterial gradient (A-a gradient), is a measure of the difference between the alveolar concentration of oxygen and the arterial concentration of oxygen. It is used in diagnosing the source of hypoxemia.[1]

Equation

The equation for calculating the A-a gradient is:

[2]

Where:

  • PaO2 = arterial PO2 (measured in arterial blood)


In its expanded from, the A-a gradient can be calculated by:

On room air ( FiO2=0.21, or 21% ) and at sea level ( Patm=760mmHg ), a simplified version of the equation is:

Values and meaning

The A-a gradient is useful in determining the source of hypoxemia. The measurement helps isolate the location of the problem as either intrapulmonary (within the lungs) or extrapulmonary (somewhere else in the body).

A normal A-a gradient for a young adult non-smoker breathing air, is between 5-10 mmHg. Normally, the A-a gradient increases with age. For every decade a person has lived, their A-a gradient is expected to increase by 1 mmHg.

An abnormally increased A-a gradient suggests a defect in diffusion, V/Q (ventilation/perfusion ratio) mismatch, or right-to-left shunt.[3]

Because A-a gradient is approximated as: (150 - 5/4(PCO2)) - PaO2, the direct mathematical cause of a large value is that the blood has a low PO2, a low PCO2, or both. CO2 is very easily exchanged in the lungs and low PCO2 directly correlates with high minute ventilation; therefore a low arterial PCO2 indicates that extra respiratory effort being used to oxygenate the blood. A low PaO2 indicates that at the patient's current minute ventilation (whether high or normal) is not enough to allow adequate oxygen diffusion into the blood. Therefore the A-a gradient essentially demonstrates a high respiratory effort (low arterial PCO2) relative to the achieved level of oxygenation (arterial PO2). A high A-a gradient could indicate a patient breathing hard to achieve normal oxygenation, a patient breathing normally and attaining low oxygenation, or a patient breathing hard and still failing to achieve normal oxygenation.

If lack of oxygenation is proportional to low respiratory effort, then the A-a gradient is not increased; a healthy person who hypoventilates would have hypoxia, but a normal A-a gradient. At an extreme, high CO2 levels from hypoventilation can mask an existing Aa gradient. This mathematical artifact makes A-a gradient more clinically useful in the setting of hyperventilation.

See also

References

  1. ^ "iROCKET Learning Module: Intro to Arterial Blood Gases, Pt. 1". Retrieved 2008-11-14.
  2. ^ "Alveolar-arterial Gradient". Retrieved 2008-11-14.
  3. ^ Costanzo, Linda (2006). BRS Physiology. Hagerstown: Lippincott Williams & Wilkins. ISBN 0-7817-7311-3.