2012
DOI: 10.1155/2012/793291
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The Use of Fractal Dimension Analysis in Estimation of Blood Vessels Shape in Transplantable Mammary Adenocarcinoma in Wistar Rats after Photodynamic Therapy Combined with Cysteine Protease Inhibitors

Abstract: Fractal dimension analysis (FDA) is modern mathematical method widely used to describing of complex and chaotic shapes when classic methods fail. The main aim of this study was evaluating the influence of photodynamic therapy (PDT) with cystein proteases inhibitors (CPI) on the number and morphology of blood vessels inside tumor and on increase of effectiveness of combined therapy in contrast to PDT and CPI used separately. Animals were divided into four groups: control, treated using only PDT, treated using … Show more

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Cited by 10 publications
(8 citation statements)
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“…Therapy-induced changes of the fractal dimension δ and the density of the blood vessels are in agreement with our other studies, e.g. [ 13 , 14 ]. The treatment might also change the colonization coefficient m .…”
Section: Discussionsupporting
confidence: 93%
See 2 more Smart Citations
“…Therapy-induced changes of the fractal dimension δ and the density of the blood vessels are in agreement with our other studies, e.g. [ 13 , 14 ]. The treatment might also change the colonization coefficient m .…”
Section: Discussionsupporting
confidence: 93%
“…This observation indicates that not all effects occurring in the animals were taken into account by our calculation model. It has been suggested, that chemotherapy changes the fractal dimension of the blood vessels [ 13 ]. To test this hypothesis, we extended our simulation software to take these changes into account.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…Vessel density (Vessels/mm 2 ) was calculated by dividing the total number of vessel segments in the image by the size of the area (16mm 2 ). Lastly, the fractal dimension of the skeleton network was calculated using the box-counting method [31], which outputs a value between 0 and 3, with higher values indicating a more irregular and tortuous network.…”
Section: (E))mentioning
confidence: 99%
“…In this context, we note also Gazit et al [9] as one of the first who employed fractal theory to compute the vessel networks that surround a tumor and computed the hemodynamics within these vessels. The fractal approach was then sustained by the works of Grizzi et al [10], Dobrescu [11], Shim et al [12], Jurczyszyn et al [13].…”
Section: Related Work On Tumor Angiogenesis Modelingmentioning
confidence: 99%