The essence of the Fick principle is that blood flow to an organ can be calculated using a marker substance if the following information is known:
- Amount of marker substance taken up by the organ per unit time
- Concentration of marker substance in arterial blood supplying the organ
- Concentration of marker substance in venous blood leaving the organ
In Fick's original method, the "organ" was the entire human body and the marker substance was oxygen. The first publishing of this was in a conference proceedings from July 9, 1870 from a lecture he gave at that conference ; it is this publishing that is most often used by articles to cite Fick's contribution.
The principle may be applied in different ways. For example, if the blood flow to an organ is known, together with the arterial and venous concentrations of the marker substance, the uptake of marker substance by the organ may then be calculated.
In Fick's original method, the following variables are measured:
- VO2, oxygen consumption in ml of pure gaseous oxygen per minute. This may be measured using a spirometer within a closed rebreathing circuit incorporating a CO2 absorber
- Ca, the oxygen concentration of blood taken from the pulmonary vein (representing oxygenated blood)
- Cv, the oxygen concentration of blood from an intravenous cannula (representing deoxygenated blood)
From these values, we know that:
where CO = Cardiac Output, Ca = Oxygen concentration of arterial blood and Cv = Oxygen concentration of mixed venous blood.
This allows us to say
and hence calculate cardiac output.
Assumed Fick determination
In reality, this method is rarely used due to the difficulty of collecting and analysing the gas concentrations. However, by using an assumed value for oxygen consumption, cardiac output can be closely approximated without the cumbersome and time-consuming oxygen consumption measurement. This is sometimes called an assumed Fick determination.
A commonly used value for O2 consumption at rest is 125 ml O2 per minute per square meter of body surface area.
The Fick principle relies on the observation that the total uptake of (or release of) a substance by the peripheral tissues is equal to the product of the blood flow to the peripheral tissues and the arterial-venous concentration difference (gradient) of the substance. In the determination of cardiac output, the substance most commonly measured is the oxygen content of blood thus giving the arteriovenous oxygen difference, and the flow calculated is the flow across the pulmonary system. This gives a simple way to calculate the cardiac output:
Assuming there is no intracardiac shunt, the pulmonary blood flow equals the systemic blood flow. Measurement of the arterial and venous oxygen content of blood involves the sampling of blood from the pulmonary artery (low oxygen content) and from the pulmonary vein (high oxygen content). In practice, sampling of peripheral arterial blood is a surrogate for pulmonary venous blood. Determination of the oxygen consumption of the peripheral tissues is more complex.
The calculation of the arterial and venous oxygen concentration of the blood is a straightforward process. Almost all oxygen in the blood is bound to hemoglobin molecules in the red blood cells. Measuring the content of hemoglobin in the blood and the percentage of saturation of hemoglobin (the oxygen saturation of the blood) is a simple process and is readily available to physicians. Using the fact that each gram of hemoglobin can carry 1.34 ml of O2, the oxygen content of the blood (either arterial or venous) can be estimated by the following formula:
Assuming a hemoglobin concentration of 15 g/dl and an oxygen saturation of 99%, the oxygen concentration of arterial blood is approximately 200 ml of O2 per L.
The saturation of mixed venous blood is approximately 75% in health. Using this value in the above equation, the oxygen concentration of mixed venous blood is approximately 150 ml of O2 per L.
Therefore, using the assumed Fick determination, the approximated cardiac output for an average man (1.9 m²) is:
Cardiac Output = (125 ml O2/minute x 1.9) / (200 ml O2/L - 150 ml O2/L) = 4.75 L/minute
Use in renal physiology
In this context, it is not oxygen which is measured, but a marker such as para-aminohippurate. However, the principles are essentially the same.
- Fick, Adolf (9 July 1870). "Ueber die Messung dea Blutquantums in den Herzventrikela". Verhandlungen der Physikalisch-medizinische Gesellschaft zu Würzburg (in German). 2: XVI–XVII. Retrieved 24 Oct 2017. NB: summary of his principle is under point (4) of the proceedings.
- Essentials of Human Physiology by Thomas M. Nosek. Section 3/3ch5/s3ch5_3. - "Indirect Measurement of Cardiac Output"
- Arterial blood
- "Arteriovenous oxygen difference". Sports Medicine, Sports Science and Kinesiology. Net Industries and its Licensors. 2011. Archived from the original on 12 June 2011. Retrieved 30 April 2011.
- Cuschieri, J; Rivers, EP; Donnino, MW; Katilius, M; Jacobsen, G; Nguyen, HB; Pamukov, N; Horst, HM (June 2005). "Central venous-arterial carbon dioxide difference as an indicator of cardiac index". Intensive Care Medicine. 31 (6): 818–22. doi:10.1007/s00134-005-2602-8. PMID 15803301.
- Essentials of Human Physiology by Thomas M. Nosek. Section 7/7ch04/7ch04p27. - "Measuring Renal Blood Flow: Fick Principle"