The 26th Annual International Conference of the IEEE Engineering in Medicine and Biology Society
DOI: 10.1109/iembs.2004.1403250
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A three-dimensional fractal model of tumour vasculature

Abstract: We constructed a three-dimensional fractal model of the vascular network in a tumour periphery. We model the highly disorganised structure of the neoplastic vasculature by using a high degree of variation in segment properties such as length, diameter and branching angle. The overall appearance of the vascular tree is subjectively similar to that of the disorganised vascular network which encapsulates tumours. The fractal dimension of the model is within the range of clinically measured values.

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Cited by 10 publications
(8 citation statements)
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“…For chemotherapeutic drugs to reach tumor cells in vivo, they have to travel through the blood vessels [ 120 , 121 , 122 , 123 ]. Blood flow through a solid tumor is varied and disorganized [ 124 , 125 ]. Most blood vessels in tumors are dilated and “leaky” compared to those in normal tissues.…”
Section: Tumor Microenvironmentmentioning
confidence: 99%
“…For chemotherapeutic drugs to reach tumor cells in vivo, they have to travel through the blood vessels [ 120 , 121 , 122 , 123 ]. Blood flow through a solid tumor is varied and disorganized [ 124 , 125 ]. Most blood vessels in tumors are dilated and “leaky” compared to those in normal tissues.…”
Section: Tumor Microenvironmentmentioning
confidence: 99%
“…Multimodels have been explored as an approach to computing the optimal therapy plan for these complex clinical treatments. 30 This treatment planning multimodel combines (1) a stochastic fractal model of tumor microvasculature, 31 (2) a probabilistic drug delivery and deposition model, and (3) a finite-element dose delivery model. While the models are all the same spatial scale, the temporal scales differ widely.…”
Section: Example Ii: a Multimodel Of Liver Cancer Treatmentmentioning
confidence: 99%
“…Because of its pronounced randomness, the vascular architecture of myocardial and tumor tissue has been described under the auspices of fractal geometry (e.g., Bassingthwaighte et al, 1994;Beard and Bassingthwaighte, 2000;Gazit et al, 1997). In numerical simulations, self-similar and completely randomly randomized structures with a specified fractal dimension or other statistical measures can be generated by invasion percolation branching and random growth techniques (e.g., Tsafnat et al, 2004). The capillary network model considered in our numerical studies consists of a cascading sequence of bifurcating capillary segments forming a randomized fractal-tree structure similar to that observed in the kidney vasculature (Karshafian et al, 2003).…”
Section: Introductionmentioning
confidence: 99%