Advertisement

Sensitivity Analysis of Errors Induced in the Determination of Tissue Perfusion

  • Avraham Shitzer
  • Robert C. Eberhart

Abstract

One of the important tasks in physiology and medicine is estimating tissue blood perfusion rate and heat generation rate due to metabolism and other sources. This information is required for experimental studies as well as for clinical purposes and has been the subject of numerous ingenious efforts. The difficulties in performing these measurements are mainly due to (1) the complex anatomical structure of the tissue and interwoven blood supply network of vessels of various sizes and (2) the lack of noninvasive techniques that are capable of directly measuring these quantities. As a result, indirect methods have been devised in which the required information is inferred from measurements of related physical and physiological parameters. Due to these difficulties, the time and spatial resolution of the estimated parameters is compromised and one must accept lower accuracy and precision with these methods.

Keywords

Effective Thermal Conductivity Tissue Perfusion Blood Perfusion Sensitivity Coefficient Tissue Blood Flow 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Anliker, M., Towards a nontraumatic study of the circulating system, in Biomechanics, Its Foundations and Objectives, Y C. Fung et al,eds. (Prentice Hall, Englewood Cliffs, NJ, 1971), pp. 337–379.Google Scholar
  2. Bugliarello, G., Hung, T. K., and Quevedo, C. E., Fluid flow, in Biomedical Engineering,J. H. U. Brown et al,eds. (F. A. Davis, Philadelphia, 1971), pp. 43–69.Google Scholar
  3. 3.
    Wyatt, D. G., Theory, design, and use of electromagnetic flow meters, in Cardiovascular Flow Dynamics and Measurements, N. H. C. Hwang and N. A. Norman, eds. ( University Park Press, Baltimore, 1977 ), pp. 89–150.Google Scholar
  4. 4.
    Baker, D. W., and Daingle, R. E., Noninvasive ultrasonic flowmetry, in Cardiovascular Flow Dynamics and Measurements, N. H. C. Hwang and N. A. Normann, eds. ( University Park Press, Baltimore, 1977 ), pp. 151–190.Google Scholar
  5. 5.
    Lassen, N. A., On the theory of the local clearance method for measurement of blood flow, including a discussion of its application to various tissues, Acta Med. Scand. Suppl 474, 136–145, 1967.Google Scholar
  6. 6.
    Koyamata, T., Local myocardial blood flow measured by the use of a needle-type Pt-H2 electrode, in Recent Advances in Studies on Cardiac Structure and Metabolism: The Metabolism of Contraction, P. E. Roy and G. Rona, eds. ( University Park Press, Baltimore, 1975 ), pp. 522–538.Google Scholar
  7. 7.
    Perl, W., Heat and matter distribution in body tissues and the determination of tissue blood flow by local clearance methods, J. Theor. Biol 2, 201–235, 1962.CrossRefGoogle Scholar
  8. 8.
    Rudolph, A. M., and Heymann, M. A., Circulation of the fetus in utero: methods for studying distribution of blood flow, cardiac output, and organ blood flow, Circ. Res 21, 163–184, 1967.Google Scholar
  9. 9.
    Paradise, N. F., and Fox, I. J., Regional blood flow measurement, in Dye Curves: The Theory and Practice of Indicator Dilution, D. A. Bloomfield, ed. ( University Park Press, Baltimore, 1974 ), pp. 335–362.Google Scholar
  10. 10.
    Eberhart, R. C., Shitzer, A., and Hernandez, E. J., Thermal dilution methods: Estimation of tissue blood flow and metabolism, in Thermal Characteristics of Tumors: Applications in Detection and Treatment, R. K. Jain and P. M. Gullino, eds. (New York Academy of Sciences, New York, 1980), pp. 107–132, 335.Google Scholar
  11. 11.
    Clifford, A. A., Multivariate Error Analysis ( Wiley, New York, 1973 ).Google Scholar
  12. 12.
    Beck, J. V., and Arnold, K. J., Parameter Estimation in Engineering and Science ( Wiley, New York, 1977 ).Google Scholar
  13. 13.
    Mickley, H. S., Sherwood, T. K., and Reed, C. E., Applied Mathematics in Chemical Engineering ( McGraw-Hill, New York, 1957 ).Google Scholar
  14. 14.
    Tomovic, R., Sensitivity Analysis of Dynamic Systems ( McGraw-Hill, New York, 1963 ).Google Scholar
  15. 15.
    Pennes, H. H., Analysis of tissue and arterial blood temperatures in the resting human forearm, J. Appl. Physiol 1, 93–122, 1948.ADSGoogle Scholar
  16. 16.
    Hernadez, E. J., Hoffman, J. K., Fabian, M., Siegel, J. H., and Eberhart, R. C., Thermal quantification of regional myocardial perfusion and heat generation, Am. J. Physiol 236, 345–355, 1979.Google Scholar
  17. 17.
    Jacquez, J. A., Compartmental Analysis in Biology and Medicine ( Elsevier, New York, 1972 ).Google Scholar
  18. 18.
    Bowman, H. F., Balasubramaniam, T. A., and Woods, M., Determination of tissue perfusion from in vivo thermal conductivity measurements, ASME paper #77-WA/HT-40, 1977.Google Scholar
  19. 19.
    Chen, M. M., and Holmes, K. R., Microvascular contributions in tissue heat transfer, in Thermal Characteristics of Tumors: Applications in Detection and Treatment, R. K. Jain and P.M. Gullino, eds. (New York Academy of Sciences, New York, 1980), pp. 137–150, 335.Google Scholar
  20. 20.
    Shitzer, A., Eberhart, R. C., and Eisenfeld, J., Estimation of tissue blood perfusion rate from diffusible indicator methods: A sensitivity analysis. Trans. ASME J. Biomech. Eng 102, 258–269, 1980.CrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1985

Authors and Affiliations

  • Avraham Shitzer
    • 1
  • Robert C. Eberhart
    • 2
  1. 1.Department of Mechanical EngineeringTechnion, Israel Institute of TechnologyHaifaIsrael
  2. 2.Department of SurgeryUniversity of Texas Health Science CenterDallasUSA

Personalised recommendations