Abstract
It is considered that arteriovenous diffusive shunts of oxygen may cause inaccuracy of the oxygen Fick method as\(Up\dot VO_2 > \dot Q(CaO_2 - CvO_2 )\) where\(Up\dot VO_2 \) is the pulmonary oxygen uptake,\(\dot Q\) is the cardiac output, and CaO2 and CvO2 are the arterial and venous oxygen contents, respectively.
A simple circulation model, including the whole circulation with nine well-mixed compartments (C1, ... C9), is constructed: the\(\dot Q\) is assigned as constant as 6000 ml min−1; the blood portions of 60 ml move at an interval of 600 ms. C1 and C2 compartments, each having 60 ml volume, represent the blood of pulmonary microcirculation, C3 represents the arterial blood with a volume of 1500 ml, C4, ..., C8, each also having a volume of 60 ml, represent the blood of peripheral microcirculation, whereas C9 represents the venous blood with a volume of 3000 ml. The pulmonary oxygen uptake\((Up\dot VO_2 )\), related to C1 and C2, the oxygen release\((rel\dot VO_2 )\), related to C4,...,C8, as well as a “total arteriovenous diffusive shunt of oxygen”\((av\dot VO_2 )\), from the arterial blood (C3) to the venous blood (C9), are calculated simultaneously. The alveolar gas has a constant oxygen partial pressure, and the pulmonary diffusion capacity is also constant; similar to modeling the pulmonry, oxygen diffusion, constant partial oxygen pressures for all peripheral tissues as well as constant diffusion capacities for all peripheral oxygen diffusion are also assigned. The diffusion capacities for the\(av\dot VO_2 \) (between C3 and C9) are arbitrarily assigned.
The Fick method gives incorrect results depending on the total arteriovenous diffusive shunt of oxygen\((av\dot VO_2 )\). But the mechanism determining the magnitude of\(av\dot VO_2 \) remains unclear.
Similar content being viewed by others
References
Acierno, L.J., 2000. Profiles in cardiology: Adoph Fick: mathematician, physicist, physiologist. Clinical Cardiology 23, 390–391.
Buerk, D.G., Shonat, R.D., Riva, C.E., Cranstoun, S.D., 1993. O2 gradients and countercurrent exchange in the cat vitreous humor near retinal arterioles and venules. Microvascular Research 45, 134–148.
Davies, G.G., Hess, D.R., Jebson, P.J., 1987. Continuous Fick cardiac output compared to continuous pulmonary artery electromagnetic flow measurement in pigs. Anesthesiology 66, 805–809.
deBoisblanc, B.P., McClarity, E., Lord, K., 1998. Oxygen consumption in the intensive care unit: indirect calorimetry is the way to go, but where? Critical Care Medicine 26, 1153–1154.
Epstein, C.D., Peerless J.R., Martin, J.E., Malangoni, M.A. 2000. Comparison of methods of measurements of oxygen consumption in mechanically ventilated patients with multiple trauma: the Fick method versus indirect calorimetry. Critical Care Medicine 28, 1363–1369.
Fick, A., 1870, Über die Messung des Blutquantums in den Herzventrikeln, SB-Phys-Med. Ges. XIV, Sitzung am 9. Juli, Würzburg.
Grote, J. 1990. Gewebeatmung. In: Schmidt, R.F., Thews, G. (Eds.), Physiologie des Menschen. Springer, Berlin, pp. 633–648.
Jolliet, P., Thorens, J.B., Nicod, L., Pichard, C., Kyle, U., Chevrolet, J.C., 1996. Relationship between pulmonary oxygen consumption, lung inflammation, and calculated venous admixture in patients with acute lung injury. Intensive Care Medicine 22, 277–285.
Keinänen, O., Takala, J., 1997. Calculated versus measured oxygen consumption during and after cardiac surgery. Is it possible to estimate lung oxygen consumption? Acta Anaesthesiologia Scandinavica 41, 803–809.
Keinänen, O., Takala, J., Kari, A., 1992. Continous measurement of cardiac output by the Fick principle: clinical validation in intensive care. Critical Care Medicine 20, 360–365.
Kobayashi H., Takizawa, N., 2002. Imaging of oxygen transfer among microvessels of rat cremaster muscle. Circulation 105, 1713–1719.
Krogh, A., 1919. Number and distribution of capillaries in muscles with calculations of the oxygen pressure head necessary for supplying the tissue. Journal of Physiology (London) 52, 409–415.
Nunn, J.F., 1996. Pulmonary oxygen consumption. Intensive Care Medicine 22, 275–276.
Oudemans-van Straaten, H.M., Scheffer, G.J., Eysman, L., Wildevuur, Ch.R.H., 1993. Oxygen consumption after cardiopulmonary bypass—implications of different measuring methods. Intensive Care Medicine 19, 105–110.
Pauli, C., Fakler, U., Genz, T., Kennig, M., Lorenz, H.P., Hess, J., 2002. Cardiac output determination in children: equivalence of the transpulmonary thermodilution method to the direct Fick principle. Intensive Care Medicine 28, 947–952.
Pittman, R.N., 2000. Oxygen supply to contracting skeletal muscle at the microcirculatory level: diffusion vs. convection. Acta Physiologica Scandinavica 168, 593–602.
Popel, A.S., 1982. Oxygen diffusive shunts under conditions of heterogeneous oxygen delivery. Journal of Theoretical Biology 96, 533–541.
Schubert, R.W., Whalen, W.J., Nair, P., 1978. Myocardial PO2 distribution: relationship to coronary autoregulation. American Journal of Physiology 234, H361-H370.
Smithies, M.N., Royston, B., Makita, K., Konieczko K., Nunn, J.F., 1991. Comparison of oxygen consumption measurements: indirect calorimetry versus the reversed Fick method. Critical Care Medicine 19, 1401–1406.
Stein, J.C., Ellis, C.G., Ellsworth, M.L., 1993. Relationship between capillary and systemic venous PO2 during nonhypoxic and hypoxic ventilation. American Journal of Physiology 265, H537-H542.
Stock, M.C., Ryan, M.E., 1996. Oxygen consumption calculated from the Fick equation has limited utility. Critical Care Medicine 24, 86–90.
Swain, D.P., Pittman, R.N., 1989. Oxygen exchange in the microcirculation of hamster retractor muscle. American Journal of Physiology 256, H247-H255.
Thews, G., 1990. Lungenatmung. In: Schmidt, R.F., Thews, G. (Eds), Physiologie des Menschen. Springer, Berlin, pp. 574–610.
Thrush, D., Downs, J.B., Smith, R.A., 1995. Continuous thermodilution cardiac output: agreement with Fick and bolus thermodilution methods. Journal of Cardiothoracic and Vascular Anesthesia 9, 399–404.
Van der Ploeg, C.P.B., Dankelman, J., Spaan, J.A.E., 1994. Classical Krogh model does not apply well to coronary oxygen exchange. Advances in Experimental Medicine and Biology 345, 299–304.
Walsh, T.S., Hopton, P., Lee, A.A., 1998. Comparison between the Fick method and indirect calorimetry for determining oxygen consumption in patients with fulminant hepatic failure. Critical Care Medicine 26, 1200–1207.
Weyland, A., Weyland, W., Sydow, M., 1994. Reversed Fick principle versus indirect calorimetry: do systematic differences between methods represent intrapulmonary oxygen consumption? Intensive Care Medicine 20, 457–458.
Witzleb, E., 1990. Funktionen des Gefäßsystems. In Schmidt, R.F., Thews, G. (Eds.), Physiologie des Menschen. Springer, Berlin, pp. 505–572.
Zhang, Y., Nitter-Hauge, S., Ihlen, H., Myhre, E., 1985. Doppler echocardiographic measurement of cardiac output using the mitral orifice method. British Heart Journal 53, 130–136.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Özbek, M., Akay, A. Results of the oxygen Fick method in a closed blood circulation model including “total arteriovenous diffusive shunt of oxygen”. Theory Biosci. 123, 111–123 (2004). https://doi.org/10.1016/j.thbio.2003.09.001
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1016/j.thbio.2003.09.001