A three-dimensional fractal model of tumour vasculature

Annual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings

Volumn 26 I, Issue , 2004, Pages 683-686

  Tsafnat, Naomi ^a   Tsafnat, Guy ^a   Lambert, Tim D ^a  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

Fractal Dimension; Fractal Model; Tumour Microvasculature

Indexed keywords

BLOOD VESSELS; CHAOS THEORY; CHEMOTHERAPY; CORRELATION METHODS; FRACTALS; KINETIC THEORY; RADIOTHERAPY; THREE DIMENSIONAL;

ANGIOGENESIS; FRACTAL DIMENSION; MICROVESSEL FRACTAL DIMENSION (MFD); TUMOUR MICROVASCULATURE;

TUMORS;

EID: 11044219702     PISSN: 05891019     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (13)

1. B. Endrich and P. Vaupel, "The role of the microcirculation in the treatment of malignant tumors: Facts and fiction," in Blood Perfusion and Microenvironment of Human Tumors, M. Molls and P. Vaupel, Eds., Medical Radiology, chapter 3, pp. 19-39. Springer, 1998.
2. H. I. Peterson, Ed., Tumor Blood Circulation: Angiogenesis, Vascular Morphology and Blood Flow of Experimental and Human Tumors, CRC Press, 1979.
3. A. Bunde and S. Havlin, Fractals in Science, Springer-Verlag, 1994.
4. J.W. Baish and R.K. Jain, "Fractals and cancer," Cancer Res, vol. 60, no. 14, pp. 3683-8, July 2000.
5. S.S. Cross, "Fractals in pathology," J Pathol., vol. 182, no. 1, pp. 1-8, May 1997.
6. M. Zamir, "On fractal properties of arterial trees," J. Theor. Biol., vol. 197, no. 4, pp. 517-526, 1999.
7. Y. Gazit, D.A. Berk, M. Leunig, L.T. Baxter, and R.K. Jain, "Scale-invariant behavior and vascular network formation in normal and tumor tissue," Phys Rev Lett, vol. 75, pp. 2428-2431, September 1995.
8. E. Sabo, A. Boltenko, Y. Sova, A. Stein, S. Kleinhaus, and M.B. Resnick, "Microscopic analysis and significance of vascular architectural complexity in renal cell carcinoma.," Clin Cancer Res, vol. 7, no. 3, pp. 533-7, Mar 2001.
9. R. Karshafian, P.N. Burns, and M.R. Henkelman, "Transit time kinetics in ordered and disordered vascular trees," Phys Med Biol, vol. 48, no. 19, pp. 3225-37, Oct 2003.
10. G.S. Kassab, C.A Rider, N.J. Tang, and Y.C. Fung, "Morphometry of pig coronary arterial trees," Am J Physiol, vol. 265, no. 1.2, pp. H350-65, July 1993.
11. M.A. Konerding, C.V. Ackern, F. Steinberg, and C. Streffer, Angiogenesis: Key Principles, Basel: Birkhauser, R. Steiner ed. 1992.
12. "Angiogenesis and cancer," http://www.cancerprotocol.com, April 2004.
13. N. Tsafnat and S. Jones, "Numerical analysis of ferromagnetic embolisation hyperthermia for liver tumour therapy," in Biomedical Engineering, B. Tug, Ed. IASTED, 2004, ACTA Press.