Fast algorithm for 3-D vascular tree modeling

Computer Methods and Programs in Biomedicine

Volumn 70, Issue 2, 2003, Pages 129-136

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

^a UNIVERSITÉ DE RENNES 1   (France)

^b BIALYSTOK UNIVERSITY OF TECHNOLOGY   (Poland)

^c SERVICE DE RHUMATOLOGIE   (France)

Author keywords

Fast computing; Optimization; Vascular modeling

Indexed keywords

ALGORITHMS; BLOOD; COMPUTER SIMULATION; THREE DIMENSIONAL COMPUTER GRAPHICS; TREES (MATHEMATICS);

GEOMETRICAL OPTIMIZATION; VASCULAR TREES;

BIOMEDICAL ENGINEERING;

ALGORITHM; ARTICLE; BLOOD PRESSURE; CARDIOVASCULAR SYSTEM; COMPUTER SIMULATION; GEOMETRY; HEMODYNAMICS; LIVER CIRCULATION; PHYSIOLOGY;

EID: 0037296616     PISSN: 01692607     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0169-2607(01)00200-0     Document Type: Article

References (16)

1. V. Meier, Realistic visualization of abdominal organs and its application in laparoscopic surgery simulation, PhD Swiss Fed Inst Technol Zurich, 1999.
2. Schreiner W., Buxbaum F. Computer optimization of vascular trees. IEEE Transactions on Biomedical Engineering. 40:(5):1993;482-491.
3. Bézy-Wendling J., Bruno A. A 3-D dynamic model of vascular trees. Journal of Biological Systems. 7:(1):1999;11-31.
4. Karch R., Neumann F., Neumann M., Schreiner W. A three-dimensional model for arterial tree representation, generated by constrained constructive optimization. Computers in Biology and Medicine. 29:1999;19-38.
5. Karch R., Neumann F., Neumann M., Schreiner W. Staged growth of optimized arterial model trees. Annals of Biomedical Engineering. 28:2000;495-511.
6. Rolland Y., Bézy-Wendling J., Duvauferrier R., Bruno A. Modeling of the parenchymous vascularization and perfusion. Investigative Radiology. 34:(3):1999;171-175.
7. Kamiya A., Togawa T. Optimal branching structure of the vascular trees. Bulletin of Mathematical Biophysics. 34:1972;431-438.
8. Cohn D.L. Optimal systems: I. The vascular system. Bulletin of Mathematical Biophysics. 16:1954;59-74.
9. C.D. Murray, The physiological principle of minimum work applied to the angle of branching arteries, Journal of General Physiology, 9 (1926) 835-841
10. Mandelbrot B. The Fractal Geometry of Nature. 1977;W.H. Freeman and Company, New York.
11. Zamir M. Optimality principles in arterial branching. Journal of Theoretical Biology. 62:1976;227-251.
12. Rolland Y., Bézy-Wendling J., Duvauferrier R., Coatrieux J.L. Slice simulation from a model of the parenchymous vascularization to evaluate texture features. Investigative Radiology. 34:(3):1999;181-184.
13. Bassingthwaigthe J.B., King R.B., Roger S.A. Fractal nature of regional myocardial blood flow heterogeneity. Circulation Research. 65:(3):1989;578-590. September.
14. Hacking W.J., VanBavel E., Spaan J.A.E. Shear stress is not sufficient to control growth of vascular networks: a model study. American Journal of Physiology. 270:1995;H364-H375. July.
15. Kassab G.S., Rider C.A., Tang N.J., Fung Y.C. Morphometry of pig coronary arterial trees. American Journal of Physiology. 265:1993;H350-H365. July.
16. Tomanek R.J., Palmer P.J., Peiffer G.L., Schreiber K.L., Eastham C.L., Marcus M.L. Morphometry of canine coronary arteries, arterioles, and capillaries during hypertension and left ventricular hypertrophy. Circulation Research. 58:1986;38-46.