skip to main content
article
Free Access

Large-scale numerical problems in biomedical studies

Authors Info & Claims
Published:07 March 1972Publication History
Skip Abstract Section

Abstract

A review of on-going projects employing an interdisciplinary approach is presented. This approach is the applicability of computer graphics, fluid dynamics and numerical analysis techniques to hemodynamic problems in medicine. It has been shown to be feasible. The hemodynamic studies are the analysis of blood movement in prosthetic heart valves and the attempt to understand initiation and formation of atherosclerotic lesions. It is demonstrated that the Navier-Stokes equations of flow are amenable to descriptive solution by computer graphics and resulting examples of particular surface and perspective displays are presented. Comparison of computer graphics experiments with clinical findings are discussed.

References

  1. 1 Greenfield, H. "Use of a Graphic Terminal Device for Distributed System Simulation Studies in Hemodynamics." Computer Techniques in Biomedicine, (E. Haga, ed.), Auerbach Publishers, New York, 1972.Google ScholarGoogle Scholar
  2. 2 Greenfield, H. "Investigations into Particular Human Circulatory System Phenomena by True Computer-Man Interaction." Int. Journal Bio-Medical Computing, to be published.Google ScholarGoogle Scholar
  3. 3 Au, A. and H. Greenfield. "Particular Computer Graphics Approaches for Understanding Prosthetic Heart Valve Characteristics." Proc. Computer Graphics in Medicine, Point Park College, Pittsburgh, 1972. Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. 4 Kolff, W. J. "An Artificial Heart Inside the Body." Scientific American, 213:38-46, 1965.Google ScholarGoogle ScholarCross RefCross Ref
  5. 5 Kwan-Gett, C.S., Crosby, M.J., Schoenberg, A., Jacobsen, S.C. and W.J. Kolff. "Control Systems for Artificial Hearts." Trans. Amer. Soc. Artif. Int. Organs, 14:284-290, 1968.Google ScholarGoogle Scholar
  6. 6 Kwan-Gett, C.S., Wu, Y., Collan, R., Jacobsen, S. and W.J. Kolff. "Total Replacement Artificial Heart and Driving System with Inherent Regulation of Cardiac Output." Trans. Amer. Soc. Artif. Int. Organs, 15:245-250, 1969.Google ScholarGoogle Scholar
  7. 7 Kwan-Gett, C.S., Zwart, H.H.J., Kralios, A.C., Kessler, T., Backman, K. and W.J. Kolff. "A Prosthetic Heart with Hemispherical Ventricles Designed for Low Hemolytic Action." Trans. Amer. Soc. Artif. Organs, 16:409-415, 1970.Google ScholarGoogle Scholar
  8. 8 Kolff, W.J. "Artificial Organs in the Seventies." Trans. Amer. Soc. Artif. Organs, 16:534-570, 1970.Google ScholarGoogle Scholar
  9. 9 Greenfield, H. "Simulation of the Human Heart and its Sub-System, the Heart Valve." Presented at the World Organization of General Systems and Cybernetics, Int. Congress, Oxford, England, 28 Aug.-3 Sept. 1972, (to be published).Google ScholarGoogle Scholar
  10. 10 Braunwald, N.S. and D.E. Detmer. "A Critical Analysis of the Status of Prosthetic Valves and Homografts." Progress in Cardiovascular Diseases, Cardiovasc. Surgery, I,11:113-131, 1968.Google ScholarGoogle ScholarCross RefCross Ref
  11. 11 Greenfield, H. and R. DeBry. "An Application of Computer Graphics: Two Concurrent Investigations Within the Medical Field." Computer Science Tech. Report UTEC-CSc-71-115, University of Utah, Nov. 1971.Google ScholarGoogle Scholar
  12. 12 Fromm, J.E. A Method for Computing Nonsteady Incompressible Viscous Fluid Flows. Los Alamos Sci. Lab. Report LA-2910, 1963.Google ScholarGoogle Scholar
  13. 13 Fromm, J.E. and F.H. Harlow. "Numerical Solution of the Problem of the Vortex Street Development." Physics of Fluids, 6:975-983, 1963.Google ScholarGoogle ScholarCross RefCross Ref
  14. 14 Pearson, C.E. "A Computational Method for Viscous Flow Problems." J. Fluid Mech., 21:611-622, 1965.Google ScholarGoogle ScholarCross RefCross Ref
  15. 15 Lawrensen, D.J. "Numerical Methods." Field Analysis, (D. Vitkovitch, ed.), Van Nostrand, New York, 1966.Google ScholarGoogle Scholar
  16. 16 Greenfield, H. and C. Brauer. "Hemodynamic Studies Involving a Computer Simulation Technique." Computer Aided Design, Brit. IEE Publication 51, 1969, pp. 21-30.Google ScholarGoogle Scholar
  17. 17 Greenfield, H. "Rheologic Factors in Vascular Degeneration: The Use of Mathematical Theory and Computer Graphics." Computers and Bio-Medical Research, (to be published).Google ScholarGoogle Scholar
  18. 18 Forsythe, G.E. and W.R. Wasow. Finite Difference Methods for Partial Differential Equations. Wiley and Son, New York, 1960.Google ScholarGoogle Scholar
  19. 19 Salvadori, M.G. and M.L. Baron. Numerical Methods in Engineering. Prentice-Hall, Englewood Cliffs, New Jersey, 1961.Google ScholarGoogle Scholar
  20. 20 Todd, J. Survey of Numerical Analysis. McGraw-Hill, New York, 1962.Google ScholarGoogle Scholar
  21. 21 Greenfield, H. and W. Kolff. "The Prosthetic Heart Valve and Computer Graphics." J. Amer. Med. Assoc., 219:69-72, 1972.Google ScholarGoogle ScholarCross RefCross Ref
  22. 22 Harlow, F.H., Welch, J.E., Shannon, J.P. and B.J. Daly. The MAC Method. Los Alamos Report LA-3425, 1965.Google ScholarGoogle Scholar
  23. 23 Amsden, A.A. and F.H. Harlow. The SMAC Method. Los Alamos Report LA-4370, (Internal report only), 1970.Google ScholarGoogle Scholar
  24. 24 Greenfield, H. and R. DeBry. "Interactive Graphic Representation of Hemodynamic Phenomena." Internat. Symposium of Online Interactive Computing, 4-7 Sept. 1972, Uxbridge, England, (to be published).Google ScholarGoogle Scholar
  25. 25 Ray, G. and N. Davids. "Shear Stress Analysis of Blood-Endothelial Surface in Inlet Section of Artery with Plugging." J. of Biomechanics, 3:99-110, 1970.Google ScholarGoogle ScholarCross RefCross Ref
  26. 26 T.M. Cannon and H. Greenfield. "Adaptability of Computer Graphics to Studies of Atherosclerosis." J. Assn. Advanc. Med. Instrum., 6, 1972 (to be published).Google ScholarGoogle Scholar
  27. 27 Greville, T.N.E. Theory and Application of Spline Functions. Academic Press, New York, 1969.Google ScholarGoogle Scholar
  28. 28 Ting, D. and H. Greenfield. "Usage of Spline Functions to Determine Curve Smoothness Required in Hemodynamic Problems." (to be published).Google ScholarGoogle Scholar
  29. 29 Sutherland, I.E. "A Head-Mounted Three Dimensional Display." Proc. Fall Joint Computer Conf. AFIPS Press, Montvale, New Jersey, 33:757-764, 1968.Google ScholarGoogle Scholar
  30. 30 Greenfield, H., Vickers, D., Sutherland, I., Kolff, W. and K. Reemtsma. "Moving Computer Graphic Images Seen from Inside the Vascular System." Trans. Amer. Soc. Artif. Organs, 17:381-385, 1971.Google ScholarGoogle Scholar
  31. 31 Wieting, D. "Dynamic Flow Characteristics of Heart Valves." Unpublished Doctoral dissertation, University of Texas, Austin, May 1969.Google ScholarGoogle Scholar
  32. 32 Greenfield, H. and R. DeBry. "Treatment of Arbitrarily Curved Surfaces in Hemodynamic Studies by Computer Graphics." Forwarded to 1st US-Japan Computer Conference, 3-5 Oct., 1972, Tokyo.Google ScholarGoogle Scholar

Index Terms

  1. Large-scale numerical problems in biomedical studies

          Recommendations

          Comments

          Login options

          Check if you have access through your login credentials or your institution to get full access on this article.

          Sign in

          Full Access

          • Published in

            cover image ACM SIGGRAPH Computer Graphics
            ACM SIGGRAPH Computer Graphics  Volume 6, Issue 4
            Winter 1972
            166 pages
            ISSN:0097-8930
            DOI:10.1145/964961
            Issue’s Table of Contents
            • cover image ACM Conferences
              Proceedings of the 1972 SIGGRAPH seminar on Computer graphics in medicine
              March 1972
              168 pages
              ISBN:9781450374606
              DOI:10.1145/800154

            Copyright © 1972 Author

            Publisher

            Association for Computing Machinery

            New York, NY, United States

            Publication History

            • Published: 7 March 1972

            Check for updates

            Qualifiers

            • article

          PDF Format

          View or Download as a PDF file.

          PDF

          eReader

          View online with eReader.

          eReader