Modeling [15O] oxygen tracer data for estimating oxygen consumption

American Journal of Physiology - Heart and Circulatory Physiology

Volumn 270, Issue 3 39-3, 1996, Pages

  Deussen, Andreas ^a   Bassingthwaighte, James B ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

Convection; Diffusion; Heart; Heterogeneity; Metabolic reaction; Model; Myocardial blood flow; Permeation

Indexed keywords

HEMOGLOBIN; MYOGLOBIN; OXYGEN 15; TRACER; OXYGEN;

AEROBIC METABOLISM; ANIMAL TISSUE; ARTICLE; HEART MUSCLE BLOOD FLOW; HEART MUSCLE METABOLISM; HEART MUSCLE OXYGEN CONSUMPTION; HEART PERFUSION; ISOLATED HEART; MATHEMATICAL MODEL; NONHUMAN; OXYGEN AFFINITY; POSITRON EMISSION TOMOGRAPHY; PRIORITY JOURNAL; RABBIT; WATER TRANSPORT; ANIMAL; BIOLOGICAL MODEL; HEART MUSCLE; METABOLISM; OXYGEN CONSUMPTION; THEORETICAL MODEL;

ANIMALS; MODELS, BIOLOGICAL; MODELS, THEORETICAL; MYOCARDIUM; OXYGEN; OXYGEN CONSUMPTION; OXYGEN RADIOISOTOPES; RABBITS;

EID: 0029871102     PISSN: 03636135     EISSN: None     Source Type: Journal    
DOI: 10.1152/ajpheart.1996.270.3.h1115     Document Type: Article

References (47)

1. Aral, T., T. Mori, S. Nakao, K. Watanabe, K. Kito, M. Aoki, H. Mori, S. Morikawa, and T. Inubushi. In vivo oxygen-17 nuclear magnetic resonance for the estimation of cerebral blood flow and oxygen consumption. Biochem. Biophys. Res. Commun. 179: 954-961, 1991.
2. Bassingthwaighte, J. B. Plasma indicator dispersion in arteries of the human leg. Circ. Res. 19: 332-346, 1966.
3. Bassingthwaighte, J. B., I. S. Chan, and C. Y. Wang. Computationally efficient algorithms for capillary convection-permeation-diffusion models for blood-tissue exchange. Ann. Biomed. Eng. 20: 687-725, 1992.
4. Bassingthwaighte, J. B., and C. A. Goresky. Modeling in the analysis of solute and water exchange in the microvasculature. In: Handbook of Physiology. The Cardiovascular System. Microcirculation. Bethesda. MD: Am. Physiol. Soc., 1984, sect. 2, vol. IV, chapt. 13, p. 549-626.
5. Bassingthwaighte, J. B., R. B. King, and S.A. Roger. Fractal nature of regional myocardial blood flow heterogeneity. Circ. Res. 65: 578-590, 1989.
6. Bassingthwaighte, J. B., M. A. Malone, T. C. Moffett, R. B. King, I. S. Chan, J. M. Link, and K. A. Krohn. Molecular and particulate depositions for regional myocardial flows in sheep. Circ. Res. 66: 1328-1344, 1990.
7. Bassingthwaighte, J. B., C. Y. Wang, and I. S. Chan. Blood-tissue exchange via transport and transformation by endothelial cells. Circ. Res. 65: 997-1020, 1989.
8. Bassingthwaighte, J. B., T. Yipintsoi, and R. B. Harvey. Microvasculature of the dog left ventricular myocardium. Microvasc. Res. 7: 229-249, 1974.
9. Chan, I. S., A. A. Goldstein, and J. B. Bassingthwaighte. SENSOP: A derivative-free solver for non-linear least squares with sensitivity scaling. Ann. Biomed. Eng. 21: 621-631, 1993.
10. Clark, A., Jr., W. J. Federspiel, P. A. A. Clark, and G. R. Cokelet. Oxygen delivery from red cells. Biophys. J. 47: 171-181, 1985.
11. Committee on Medical and Biological Effects of Environmental Pollutants. Carbon Monoxide. Washington, DC: Natl. Acad. Sci. USA, 1977, p. 239.
12. De Koning, L., J. C. Hoofd, and F. Kreuzer. Oxygen transport and the function of myoglobin. Theoretical model and experiments in chicken gizzard smooth muscle. Pfluegers Arch. 389: 211-217, 1981.
13. Döring, H. J., and H. Kammermeier. Aenderungen des Herzdurchmessers unter dem Einfluss von Sauerstoffmangel, Stoffwechsel-Inhibitoren und erregungshemmenden Substanzen. In: 4. Freiburger Kolloquium, Kreislaufmessungen, edited by A. Fleckenstein. Munich, Germany: E. Banaschewski, 1964, p. 45-56.
14. Federspiel, W. J., and A. S. Popel. A theoretical analysis of the effect of the particulate nature of blood on oxygen release in capillaries. Microvasc. Res. 32: 164-189, 1986.
15. Federspiel, W. J., and I. H. Sarelius. An examination of the contribution of red cell spacing to the uniformity of oxygen flux at the capillary wall. Microvasc. Res. 27: 273-285, 1984.
16. 15O and positron emission tomography: theory, procedure and normal values. J. Comput. Assisted Tomogr. 4: 727-736, 1980.
17. Goldstick, T. K., V. T. Ciuryla, and L. Zuckerman. Diffusion of oxygen in plasma and blood. Adv Exp. Med. Biol. 75: 183-190, 1976.
18. Gonzalez, F., and J. B. Bassingthwaighte. Heterogeneities in regional volumes of distribution and flows in the rabbit heart. Am. J. Physiol. 258 (Heart Circ. Physiol. 27): H1012-H1024, 1990.
19. Goresky, C. A. A linear method for determining liver sinusoidal and extravascular volumes. Am. J. Physiol. 204; 626-640, 1963.
20. Groebe, K., and G. Thews. Effects of red cell spacing and red cell movement upon oxygen release under conditions of maximally working skeletal muscle. In: Oxygen Transport to Tissue (11th ed.), edited by K. Rakusan, G. P. Biro, T. K. Goldstick, and Z. Turek. New York: Plenum Press, 1989, p. 175-185.
21. Guller, B., T. Yipintsoi, A. L. Orvis, and J. B. Bassingthwaighte. Myocardial sodium extraction at varied coronary flows in the dog: estimation of capillary permeability by residue and outflow detection. Circ. Res. 37: 359-378, 1975.
22. Hellums, J. D. The resistance to oxygen transport in the capillaries relative to that in the surrounding tissue. Microvasc. Res. 13: 131-136, 1977.
23. Heusch, G., and A. Deussen. The effects of cardiac sympathetic nerve stimulation on perfusion of stenotic coronary arteries in the dog. Circ. Res. 53: 8-15, 1983.
24. Homer, L. D., J. B. Shelton, C. H. Dorsey, and T. J. Williams. Anisotropic diffusion of oxygen in slices of rat muscle Am. J. Physiol. 246 (Regulatory Integrative Comp. Physiol. 15): R107-R113, 1984.
25. 15O and dynamic positron-emission tomography: strategy for quantification in relation to the partial-volume effect. Circulation 78: 104-115, 1988.
26. King, R. B., J. B. Bassingthwaighte, J. R. S. Hales, and L. B. Rowell. Stability of heterogeneity of myocardial blood flow in normal awake baboons. Circ. Res. 57: 285-295, 1985.
27. King, R. B., A. Deussen, G. R. Raymond, and J. B. Bassingthwaighte. A vascular transport operator. Am. J. Physiol. 265 (Heart Circ. Physiol. 341: H2196-H2208, 1993.
28. Kuikka, J., M. Levin, and J. B. Bassingthwaighte. Multiple tracer dilution estimates of D- and 2-deoxy-D-glucose uptake by the heart. Am. J. Physiol. 250 (Heart Circ. Physiol. 19): H29-H42, 1986.
29. Lammertsma, A. A., T. Jones, R. S. J. Frackowiak, and G. L. Lenzi. A theoretical study of the steady-state model for measuring regional cerebral blood flow and oxygen utilisation using oxygen-15. J. Comput. Assisted Tomogr. 5: 544-550, 1981.
30. Lerch, R. A., H. D. Ambos, S. R. Bergmann, B. E. Sobel, and M. M. Ter-Pogossian. Kinetics of positron emitters in vivo characterized with a beta probe. Am. J. Physiol. 242 (Heart Circ. Physiol. 11): H62-H67, 1982.
31. 2 inhalation and dynamic positron emission tomography. J. Cereb. Blood Flow Metab. 1: 403-414, 1987.
32. Napper, S.A., and R. W. Schubert. Mathematical evidence for flow-induced changes in myocardial oxygen consumption. Ann. Biomed. Eng. 16: 349-365, 1988.
33. Page, E., and L. P. McCallister. Quantitative electron microscopic description of heart muscle cells. Am. J. Cardiol. 31: 172-181, 1973.
34. Page, E., L. P. McCallister, and B. Power. Stereological measurements of cardiac ultrastructures implicated in excitation-contraction coupling. Proc. Natl. Acad. Sci. USA 68: 1465-1466, 1971.
35. Popel, A. S. Theory of oxygen transport to tissue. Crit. Rev. Biomed. Eng. 17: 257-321, 1989.
36. Randle, P. J., and P. K. Tubbs. Carbohydrate and fatty acid metabolism. In: Handbook of Physiology. The Cardiovascular System. The Heart. Bethesda, MD: Am. Physiol Soc., 1979, sect. 2, vol. I, chapt. 23, p. 805-844.
37. Redwood, W. R., E. Rall, and W. Perl. Red cell membrane permeability deduced from bulk diffusion coefficients. J. Gen. Physiol. 64: 706-729, 1974.
38. Riveros-Moreno, V., and J. B. Wittenberg, The self-diffusion coefficients of myoglobin and hemoglobin in concentrated solutions. J. Biol. Chem. 247: 895-901, 1972.
39. Rose, C. P., and C. A. Goresky. Limitations of tracer oxygen uptake in the canine coronary circulation. Circ. Res. 56: 57-71, 1985.
40. Rose, C. P., C. A. Goresky, and G. G. Bach. The capillary and sarcolemmal barriers in the heart: an exploration of labeled water permeability. Circ. Res. 41: 515-533, 1977.
41. Safford, R. E., E. A. Bassingthwaighte, and J. B. Bassingthwaighte. Diffusion of water in cat ventricular myocardium. J. Gen. Physiol. 72: 513-538, 1978.
42. Taegtmeyer, H. Carbohydrate interconversions and energy production. Circulation 72, Suppl. IV: 1-8, 1985.
43. Weinberg, I. N., S. C. Huang, E. J. Hoffman, L. Araujo, C. Nienaber, M. Grover-McKay, M. Dahlbom, and H. Schelbert. Validation of PET-acquired input functions for cardiac studies. J. Nucl. Med. 29: 241-247, 1988.
44. Wiesner, R. J., A. Deussen, M. Borst, J. Schrader, and M. K. Grieshaber. Glutamate degradation in the ischemic dog heart: contribution to anaerobic energy production. J. Mol. Cell. Cardiol. 21: 49-59, 1989.
45. Wittenberg, B. A., and J. B. Wittenberg. Transport of oxygen in muscle. Annu. Rev. Physiol. 51: 857-878, 1989.
46. Yipintsoi, T., P. D. Scanlon, and J. B. Bassingthwaighte. Density and water content of dog ventricular myocardium. Proc. Soc. Exp. Biol. Med. 141: 1032-1035, 1972
47. Zierler, K. L. A critique of compartmental analysis. Annu. Rev Biophys. Bioeng. 10: 531-562, 1981.