Three-dimensional tumor perfusion reconstruction using fractal interpolation functions. Export

@article{citeulike:828613, abstract = {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.}, address = {Department of Radiation Oncology, Duke University Medical Center, Durham, NC 27710, USA. oana@radonc.duke.edu}, author = {Craciunescu, O. I. and Das, S. K. and Poulson, J. M. and Samulski, T. V.}, citeulike-article-id = {828613}, citeulike-linkout-0 = {http://view.ncbi.nlm.nih.gov/pubmed/11322534}, citeulike-linkout-1 = {http://www.hubmed.org/display.cgi?uids=11322534}, issn = {0018-9294}, journal = {IEEE Trans Biomed Eng}, keywords = {3d, fractal, perfusion, tumor}, month = {April}, number = {4}, pages = {462--473}, posted-at = {2006-09-05 15:48:07}, priority = {2}, title = {Three-dimensional tumor perfusion reconstruction using fractal interpolation functions.}, url = {http://view.ncbi.nlm.nih.gov/pubmed/11322534}, volume = {48}, year = {2001} }

TY - JOUR ID - citeulike:828613 L3 - citeulike-article-id:828613 N2 - 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. IS - 4 JF - IEEE Trans Biomed Eng SN - 0018-9294 AD - Department of Radiation Oncology, Duke University Medical Center, Durham, NC 27710, USA. oana@radonc.duke.edu EP - 473 TI - Three-dimensional tumor perfusion reconstruction using fractal interpolation functions. VL - 48 SP - 462 KW - 3d KW - fractal KW - perfusion KW - tumor AU - Craciunescu, OI AU - Das, SK AU - Poulson, JM AU - Samulski, TV PY - 2001/04// UR - http://view.ncbi.nlm.nih.gov/pubmed/11322534 ER -