Physiologically based modeling of 3-D vascular networks and CT Scan angiography

IEEE Transactions on Medical Imaging

Volumn 22, Issue 2, 2003, Pages 248-257

  Kretowski, Marek ^a,b   Rolland, Yan ^b,c   Bézy Wendling, Johanne ^b   Coatrieux, Jean Louis ^b  

^a BIALYSTOK UNIVERSITY OF TECHNOLOGY   (Poland)

^b UNIVERSITÉ DE RENNES 1   (France)

^c Rennes Hospital   (France)

Author keywords

Computed tomography (CT); Hepatic enhancement; Image simulation; Physiologically based modeling; Vascular network

Indexed keywords

ALGORITHMS; ANGIOGRAPHY; BIOLOGICAL ORGANS; BLOOD VESSELS; COMPUTER SIMULATION; COMPUTERIZED TOMOGRAPHY; IMAGE ANALYSIS; IMAGE ENHANCEMENT; IMAGE RECONSTRUCTION; PHYSIOLOGY; THREE DIMENSIONAL COMPUTER GRAPHICS; TISSUE;

HEPATIC ENHANCEMENT; IMAGE SIMULATION; LIVER; PHYSIOLOGICALLY BASED MODELING; VASCULAR NETWORKS;

MEDICAL IMAGING;

ALGORITHM; ANGIOGENESIS; ANGIOGRAPHY; ARTICLE; BIOLOGICAL MODEL; BLOOD FLOW; BLOOD VESSEL; COMPUTER ASSISTED DIAGNOSIS; COMPUTER ASSISTED TOMOGRAPHY; EVALUATION; GROWTH, DEVELOPMENT AND AGING; HEMODYNAMICS; HUMAN; LIVER; METHODOLOGY; NEOVASCULARIZATION (PATHOLOGY); PATHOPHYSIOLOGY; PHYSIOLOGY; RADIOGRAPHY; THREE DIMENSIONAL IMAGING; VALIDATION STUDY; VASCULARIZATION;

ALGORITHMS; ANGIOGRAPHY; BLOOD VESSELS; HEMODYNAMIC PROCESSES; HUMANS; IMAGE INTERPRETATION, COMPUTER-ASSISTED; IMAGING, THREE-DIMENSIONAL; LIVER; MODELS, BIOLOGICAL; NEOVASCULARIZATION, PATHOLOGIC; NEOVASCULARIZATION, PHYSIOLOGIC; REGIONAL BLOOD FLOW; TOMOGRAPHY, X-RAY COMPUTED;

EID: 0038060246     PISSN: 02780062     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMI.2002.808357     Document Type: Article

References (29)

1. A. Bruno, R. Collorec, J. Bézy-Wendling, P. Reuzé, and Y. Rolland, "Texture analysis in medical imaging," in Contemporary Perspectives in Three-dimensional Biomedical Imaging, C. Roux and J. L. Coatrieux, Eds. Amsterdam, The Netherlands: IOS, 1997, pp. 133-164.
2. M. E. Gottlieb, "Modeling blood vessels: A deterministic method with fractal structure based on physiological rules," in Proc. Int. Conf. IEEE Engineering in Medicine and Biology Society, vol. 12, 1990, pp. 1386-7.
3. F. Nekka, S. Kyriacos, C. Kerrigan, and L. Cartilier, "A model of growing vascular structures," Bull. Math. Biol., vol. 58, no. 3, pp. 409-24, 1996.
4. V. Meier, "Realistic Visualization of Abdominal Organs and its Application in Laparoscopic Surgery Simulation," Ph.D. dissertation, Swiss Fed. Inst. Technol., Zurich, 1999.
5. W. Schreiner and P. F. Buxbaum, "Computer optimization of vascular trees," IEEE Trans. Biomed. Eng., vol. 40, pp. 482-91, May 1993.
6. W. Schreiner, F. Neumann, M. Neumann, A. End, and M. Müller, "Structural quantification and bifurcation symmetry in arterial tree models generated by constrained constructive optimization," J. Theor. Biol., vol. 180, pp. 161-174, 1996.
7. W. Schreiner, F. Neumann, M. Neumann, A. End, and S. Roedler, "Anatomical variability and functional ability of vascular trees modeled by constrained constructive optimization," J. Theor. Biol. vol. 187, pp. 147-158, 1997.
8. A. R. A. Anderson and M. A. J. Chaplain, "Continuous and discrete mathematical models of tumor-induced angiogenesis," Bull. Math. Biol., vol. 60, pp. 857-900, 1998.
9. J. Lefevre, "A theoretical study of the relationships between fractal complexity and functional efficiency in the pulmonary arterial tree," in Annu. Int. Conf. IEEE Engineering in Medicine and Biology Society, vol. 13, 1991, pp. 2198-2199.
10. ____, "Fractal models of vascular trees: Current status and potential developments," in Annu. Int. Conf. IEEE Engineering in Medicine and Biology Society, vol. 3, Paris, France, 1992, pp. 986-987.
11. R. W. Glenny and H. T. Robertson, "A computer simulation of pulmonary perfusion in three dimensions," J. Appl. Physiol., vol. 79, no. 1, pp. 357-69, 1995.
12. J. C. Parker, C. B. Cave, J. L. Ardell, C. R. Hamm, and S.G. Williams, "Vascular tree structure affects lung blood flow heterogenity simulated in three dimensions," J. Appl. Physiol., vol. 83, no. 4, pp. 1370-82, 1997.
13. R. Karch, F. Neumann, M. Neumann, and W. Schreiner, "A three-dimensional model for arterial tree representation, generated by constrained constructive optimization," Comput. Biol. Med., vol. 29, pp. 19-38, 1999.
14. ____, "Staged growth of optimized arterial model trees," Ann. Biomed. Eng., vol. 28, pp. 495-511, 2000.
15. J. Bézy-Wendling and A. Bruno, "A 3-D dynamic model of vascular trees," J. Biological Syst., vol. 7, no. 1, pp. 11-31, 1999.
16. Y. Rolland, J. Bézy-Wendling, R. Duvauferrier, and A. Bruno, "Modeling of the parenchymous vascularization and perfusion," Investigat. Radiol., vol. 34, no. 3, pp. 171-175, 1999.
17. Y. Rolland, J. Bézy-Wendling, R. Duvauferrier, and J. L. Coatrieux, "Slice simulation from a model of the parenchymous vascularization to evaluate texture features," Investigat. Radiol., vol. 34, no. 3, pp. 181-184, 1999.
18. J. Bézy-Wendling, M. Kretowski, Y. Rolland, and W. Le Bidon, "Toward a better understanding of texture in vascular CT scan simulated image," IEEE Trans. Biomed. Eng., vol. 48, pp. 120-124, Jan. 2001.
19. R. J. Goss, The Strategy of Growth, Control of Cellular Growth in Adult Organizms, H. Teir and T. Rytömaa, Eds. New York: Academic, 1967.
20. M. Zamir, "Optimality principles in arterial branching," J. Theor. Biol., vol. 62, pp. 227-251, 1976.
21. A. Kamiya and T. Togawa, "Optimal branching structure of the vascular trees," Bull. Math. Biophys., vol. 34, pp. 431-438, 1972.
22. D. L. Cohn, "Optimal systems: I. The vascular system," Bull. Math. Biophys., vol. 16, pp. 59-74, 1954.
23. O. Hudlicka, M. B. Brown, and E. Egginton, "Angiogenesis: Basic concepts and methodology," in An Introduction to Vascular Biology, A. Halliday, B. Hunt, L. Poston, and M. Schachter, Eds. Cambridge, U.K.: Cambridge Univ. Press, 1998, pp. 3-19.
24. C. D. Murray, "The physiological principle of minimum work applied to the angle of branching arteries," J. Gen. Physiol, vol. IX, no. 835, 1925-26.
25. R. Rosen, Optimality Principles in Biology, the Vascular System. London, U.K.: Butterworths, 1967, pp. 41-60.
26. M. Kretowski, Y. Rolland, J. Bézy-Wendling, and J. L. Coatrieux, "Fast algorithm for 3-D vascular tree modeling," Comput. Methods Programs Biomed.
27. G. T. Herman, "Image reconstruction from projections, the fundamentals of computerized tomography," Comput. Sci. Appl. Math., 1980.
28. J. E. Healey, P. C. Schroy, and R. Sorensen, "The intrahepatic distribution of the hepatic artery in man," The J. Int. College Surgeons, vol. XX, no. 2, Aug. 1953.
29. D. Selle, W. Spindler, B. Preim, and H. O. Peitgen, "Mathematical methods in medical imaging: Analysis of vascular structures for liver surgery planning," in Mathematics Unlimited-2001 and Beyond. Berlin, Germany: Springer-Verlag, 2000, pp. 1039-1059.