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Three-dimensional tumor perfusion reconstruction using fractal interpolation functions.

Publication ,  Journal Article
Craciunescu, OI; Das, SK; Poulson, JM; Samulski, TV
Published in: IEEE Trans Biomed Eng
April 2001

It has been shown that the perfusion of blood in tumor tissue can be approximated using the relative perfusion index determined from dynamic contrast-enhanced magnetic resonance imaging (DE-MRI) of the tumor blood pool. Also, it was concluded in a previous report that the blood perfusion in a two-dimensional (2-D) tumor vessel network has a fractal structure and that the evolution of the perfusion front can be characterized using invasion percolation. In this paper, the three-dimensional (3-D) tumor perfusion is reconstructed from the 2-D slices using the method of fractal interpolation functions (FIF), i.e., the piecewise self-affine fractal interpolation model (PSAFIM) and the piecewise hidden variable fractal interpolation model (PHVFIM). The fractal models are compared to classical interpolation techniques (linear, spline, polynomial) by means of determining the 2-D fractal dimension of the reconstructed slices. Using FIFs instead of classical interpolation techniques better conserves the fractal-like structure of the perfusion data. Among the two FIF methods, PHVFIM conserves the 3-D fractality better due to the cross correlation that exists between the data in the 2-D slices and the data along the reconstructed direction. The 3-D structures resulting from PHVFIM have a fractal dimension within 3%-5% of the one reported in literature for 3-D percolation. It is, thus, concluded that the reconstructed 3-D perfusion has a percolation-like scaling. As the perfusion term from bio-heat equation is possibly better described by reconstruction via fractal interpolation, a more suitable computation of the temperature field induced during hyperthermia treatments is expected.

Duke Scholars

Published In

IEEE Trans Biomed Eng

DOI

ISSN

0018-9294

Publication Date

April 2001

Volume

48

Issue

4

Start / End Page

462 / 473

Location

United States

Related Subject Headings

  • Models, Cardiovascular
  • Magnetic Resonance Imaging
  • Image Processing, Computer-Assisted
  • Fractals
  • Forelimb
  • Fibrosarcoma
  • Dogs
  • Contrast Media
  • Biomedical Engineering
  • Animals
 

Citation

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Craciunescu, O. I., Das, S. K., Poulson, J. M., & Samulski, T. V. (2001). Three-dimensional tumor perfusion reconstruction using fractal interpolation functions. IEEE Trans Biomed Eng, 48(4), 462–473. https://doi.org/10.1109/10.915713
Craciunescu, O. I., S. K. Das, J. M. Poulson, and T. V. Samulski. “Three-dimensional tumor perfusion reconstruction using fractal interpolation functions.IEEE Trans Biomed Eng 48, no. 4 (April 2001): 462–73. https://doi.org/10.1109/10.915713.
Craciunescu OI, Das SK, Poulson JM, Samulski TV. Three-dimensional tumor perfusion reconstruction using fractal interpolation functions. IEEE Trans Biomed Eng. 2001 Apr;48(4):462–73.
Craciunescu, O. I., et al. “Three-dimensional tumor perfusion reconstruction using fractal interpolation functions.IEEE Trans Biomed Eng, vol. 48, no. 4, Apr. 2001, pp. 462–73. Pubmed, doi:10.1109/10.915713.
Craciunescu OI, Das SK, Poulson JM, Samulski TV. Three-dimensional tumor perfusion reconstruction using fractal interpolation functions. IEEE Trans Biomed Eng. 2001 Apr;48(4):462–473.

Published In

IEEE Trans Biomed Eng

DOI

ISSN

0018-9294

Publication Date

April 2001

Volume

48

Issue

4

Start / End Page

462 / 473

Location

United States

Related Subject Headings

  • Models, Cardiovascular
  • Magnetic Resonance Imaging
  • Image Processing, Computer-Assisted
  • Fractals
  • Forelimb
  • Fibrosarcoma
  • Dogs
  • Contrast Media
  • Biomedical Engineering
  • Animals