1997
DOI: 10.1088/0031-9155/42/7/017
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Accuracy of geometrical modelling of heat transfer from tissue to blood vessels

Abstract: We have developed a thermal model in which blood vessels are described as geometrical objects, 3D curves with associated diameters. Here the behaviour of the model is examined for low resolutions compared with the vessel diameter and for strongly curved vessels. The tests include a single straight vessel and vessels describing the path of a helix embedded in square tissue blocks. The tests show the excellent behaviour of our discrete vessel implementation.

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Cited by 26 publications
(12 citation statements)
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“…Important factors are the number, length, and diameter of the vessels, and also the velocity of blood flow [24]. CREZEE described the relationship between tumor perfusion and heating of the tumor tissue under systemic hyperthermia.…”
Section: Discussionmentioning
confidence: 99%
“…Important factors are the number, length, and diameter of the vessels, and also the velocity of blood flow [24]. CREZEE described the relationship between tumor perfusion and heating of the tumor tissue under systemic hyperthermia.…”
Section: Discussionmentioning
confidence: 99%
“…The thermal simulations are based on the geometry G MR , superimposed with the tracked vasculature, the two comprising the computational domain for the DIVA program. DIVA was verified both theoretically, by Van Leeuwen et al 26,27 and experimentally, by Raaymakers et al 28,29 DIVA models the heat transfer in perfused tissue. The thermal impact of each discrete vessel is taken into account individually.…”
Section: Thermal Simulations With Divamentioning
confidence: 91%
“…The accuracy of the DIVA model has been examined for tissue grids with a resolution that was a factor 5-10 lower compared to the vessel diameter using model situations for which analytical solutions can be derived. 52 Deviations between numerical and analytical solutions were found to be within a few percent. Furthermore, the DIVA model has been validated using isolated perfused animal tissue.…”
Section: Appendix: Discrete Vasculature Modelingmentioning
confidence: 92%