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Języki publikacji
Abstrakty
A vascular model of the bioheat transfer for perfused tissues is described, along with its numerical implementation. The method consists in creating a vascular tree model within the tissue region of interest and formulating a numerical scheme mat couples the temperatures of the tissue and of die arterial and venous blood flowing through it. The necessary equations are derived and cast in finite difference form The numerical implementation of the method is then used to obtain results for a specific example. The presented method allows modelling of the effect of individual blood vessels present m the tissue domain on the heat transfer. It is significantly more expensive computationally than continuum models. At the same time, it is numerically cheaper man most vascular models known in the literature. The present implementation can be extended to cover 3D geometry and thermoregulation effects [vasoconstriction and vasodilation) at moderate cost.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
24--34
Opis fizyczny
rys.
Twórcy
autor
- IPPT PAN, Świętokrzyska 21, 00-049 Warsaw, mstan@ippt.gov.pl
Bibliografia
- [1] CHEN M. M.., HOLMES K. R., Microvascular contributions in tissue heat transfer, Annals New York Acad. Sci., 1980,335, 137-154.
- [2] PENNES H. H., Analysis of tissue and arterial blodod temperatures in the resting human forearm, J. Appl. Physiology, 1948, 1, 93-122
- [3] WULFF W., The energy conservation equation for living tissue, IEEE Trans. BME, 1974, 21(6), 494-495.
- [4] STAŃCZYK M., TELEGA J.J., Modelling of heat transfer in biomechanics — a review. Part I. Soft tissues, Acta Bioengng. Biomech., 2002,4(1), 31-61.
- [5] WISSLER E.H., Pennes' 1948 paper revisited, J. Appl. Physiology, 1998, 85(1), 35-41.
- [6] WEINBAUM S., JIJI L.M., A new simplified bioheat equation for the effect of blood flow on local average tissue temperature, J. Biomech. Eng., 1985, 107, 131-139.
- [7] WEINBAUM S., JIJI L.M., LEMONS D.E., The bleed-off perfusion term in the Weinbaum-Jiji bioheat equation, J. Biomech. Eng., 1992,114,539-544.
- [8] CHARNY C.K., WEINBAUM S., LEVIN R.L., An evaluation of the Weinbaum-Jiji bioheat equation for normal and hyperthermic conditions, J. Biomech. Eng., 1990, 112, 80-87.
- [9] SHRIVASTAVA D., ROEMER R.B., Readdressing the issue of thermally significant blood vessels using a countercurrent vessel network, J. Biomech. Eng., 2006, 128, 210, 216. [
- [10] BRINCK H., WERNER J., Estimation of the thermal effect of blood flow in a branching countercurrent network using a three-dimensional vascular model, J. Biomech. Eng., 1994, 116, 324-330.
- [11] KOTTE A., LEEUWEN G.M.J., BREE J.D., DER KOIJK J.V., CREEZE J., LAGENDUK J., A description of discrete vessel segments in thermal modelling of tissues, Phys. Med. Biol., 1996,41,865-884.
- [12] KOTTE A., LEEUWEN G.M.J., LAGENDUK J., Modelling the thermal impact of a discrete vessel tree, Phys. Med. Biol., 1999.44(0,57-74.
- [13] SCHREINER W., BUXBAUM P.F., Computer-optimization of vascular trees, IEEE Trans. BME, 1993, 40(5), 482-491.
- [14] SCHREINER W., KARCH R., NEUMANN M., NEUMANN R, ROEDLER S.M., HEINZE G., Heterogeneous perfusion is a consequence of uniform shear stress in optimized arterial tree models, J. Theor. Biol., 2003, 220, 285-301.
- [15] BAISH J.W., AYYASWAMY P.S., FOSTER K.R., Heat transport mechanisms in vascular tissues: a model comparison, J. Biomech. Eng., 1986,108, 324-331.
- [16] BAISH J.W., AYYASWAMY P.S., FOSTER K.R., Small-scale temperature fluctuations in perfused tissue during local hyperthermia, J. Biomech. Eng., 1986,108, 246-250.
- [17] INCROPERA F.D., DEWITT D.P., Fundamentals of Heat and Mass Transfer, 4th. ed„ John Wiley & Sons, New York, Chichester, Brisbane, Toronto, Singapore, 1996.
- [18] VAN LEEUWEN G.M.J., VAN STEENHOVEN A.A., Heat transfer in humans - local and whole-body, Abiomed Lecture Notes 6, Blood Flow Modelling and Diagnostics, 2005, 205-242.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB1-0031-0028