메뉴 건너뛰기




Volumn 28, Issue 2, 2004, Pages 97-108

Modeling of multidimensional freezing problem during cryosurgery by the dual reciprocity boundary element method

Author keywords

Bioheat transfer; Cryosurgery; Dual reciprocity boundary element method; Effective heat capacity; Phase change; Treatment planning

Indexed keywords

ALGORITHMS; BOUNDARY ELEMENT METHOD; FREEZING; HEAT TRANSFER; MATHEMATICAL MODELS; SPECIFIC HEAT; TEMPERATURE DISTRIBUTION; TUMORS;

EID: 0346970946     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0955-7997(03)00128-0     Document Type: Article
Times cited : (63)

References (48)
  • 1
    • 77957030185 scopus 로고
    • Modeling of bioheat transfer processes at high and low temperatures
    • [edited by Cho YI]
    • Diller K.R. Modeling of bioheat transfer processes at high and low temperatures. Adv Heat Transfer. 22:1992;157-357. [edited by Cho YI].
    • (1992) Adv Heat Transfer , vol.22 , pp. 157-357
    • Diller, K.R.1
  • 2
    • 0026954054 scopus 로고
    • Optimization of multiprobe cryosurgery
    • Keanini R.G., Rubinsky B. Optimization of multiprobe cryosurgery. ASME J Heat Transfer. 114:1992;796-801.
    • (1992) ASME J Heat Transfer , vol.114 , pp. 796-801
    • Keanini, R.G.1    Rubinsky, B.2
  • 3
    • 0347426815 scopus 로고
    • Thermal analysis for cryosurgery
    • A. Shitzer, & R.C. Eberhart. New York: Plenum Press
    • Trezek G.J. Thermal analysis for cryosurgery. Shitzer A., Eberhart R.C. Heat transfer in medicine and biology. 1985;Plenum Press, New York. p. 239-59.
    • (1985) Heat Transfer in Medicine and Biology , pp. 239-259
    • Trezek, G.J.1
  • 5
    • 0026189413 scopus 로고
    • Cryosurgery: Advances in the application of low temperatures to medicine
    • Rubinsky B. Cryosurgery: advances in the application of low temperatures to medicine. Int J Refrig. 14:1991;190-199.
    • (1991) Int J Refrig , vol.14 , pp. 190-199
    • Rubinsky, B.1
  • 6
    • 0016985976 scopus 로고
    • Analysis of a Stefan-like problem in a biological tissue around a cryosurgical probe
    • Rubinsky B., Shitzer A. Analysis of a Stefan-like problem in a biological tissue around a cryosurgical probe. ASME J Heat Transfer. 98:1976;514-519.
    • (1976) ASME J Heat Transfer , vol.98 , pp. 514-519
    • Rubinsky, B.1    Shitzer, A.2
  • 7
    • 0029304701 scopus 로고
    • Exact solution to the one-dimensional inverse-Stefan problem in nonideal biological tissues
    • Rabin Y., Shitzer A. Exact solution to the one-dimensional inverse-Stefan problem in nonideal biological tissues. ASME J Heat Transfer. 117:1995;425-431.
    • (1995) ASME J Heat Transfer , vol.117 , pp. 425-431
    • Rabin, Y.1    Shitzer, A.2
  • 8
    • 0031149567 scopus 로고    scopus 로고
    • Combined solution of the inverse-Stefan problem for successive freezing/thawing in nonideal biological tissues
    • Rabin Y., Shitzer A. Combined solution of the inverse-Stefan problem for successive freezing/thawing in nonideal biological tissues. ASME J Biomech Engng. 119:1997;146-152.
    • (1997) ASME J Biomech Engng , vol.119 , pp. 146-152
    • Rabin, Y.1    Shitzer, A.2
  • 10
    • 0025566067 scopus 로고
    • Mathematical modeling of freezing front propagation in biological tissue
    • Andrushkiw R.I. Mathematical modeling of freezing front propagation in biological tissue. Math Comput Model. 13:(10):1990;1-9.
    • (1990) Math Comput Model , vol.13 , Issue.10 , pp. 1-9
    • Andrushkiw, R.I.1
  • 11
    • 0032005294 scopus 로고    scopus 로고
    • Numerical solution of the multidimensional freezing problem during cryosurgery
    • Rabin Y., Shitzer A. Numerical solution of the multidimensional freezing problem during cryosurgery. ASME J Biomech Engng. 120:1998;32-37.
    • (1998) ASME J Biomech Engng , vol.120 , pp. 32-37
    • Rabin, Y.1    Shitzer, A.2
  • 12
    • 0034978799 scopus 로고    scopus 로고
    • A model for the time dependent three-dimensional thermal distribution within iceballs surrounding multiple cryoprobes
    • Rewcastle J.C., Sandison G.A., Muldrew K., Saliken J.C., Donnelly B.J. A model for the time dependent three-dimensional thermal distribution within iceballs surrounding multiple cryoprobes. Med Phys. 28:2001;1125-1137.
    • (2001) Med Phys , vol.28 , pp. 1125-1137
    • Rewcastle, J.C.1    Sandison, G.A.2    Muldrew, K.3    Saliken, J.C.4    Donnelly, B.J.5
  • 13
    • 0027703803 scopus 로고
    • Finite element analysis of the temperature field around two adjacent cryo-probes
    • Weill A., Shitzer A., Bar-Yoseph P. Finite element analysis of the temperature field around two adjacent cryo-probes. ASME J Biomech Engng. 115:1993;374-379.
    • (1993) ASME J Biomech Engng , vol.115 , pp. 374-379
    • Weill, A.1    Shitzer, A.2    Bar-Yoseph, P.3
  • 14
    • 0033022003 scopus 로고    scopus 로고
    • Finite element and order of magnitude analysis of cryosurgery in the lung
    • Schweikert R.J., Keanini R.G. Finite element and order of magnitude analysis of cryosurgery in the lung. Int Commun Heat Mass Transfer. 26:1999;1-12.
    • (1999) Int Commun Heat Mass Transfer , vol.26 , pp. 1-12
    • Schweikert, R.J.1    Keanini, R.G.2
  • 16
    • 0033847089 scopus 로고    scopus 로고
    • Experimental measurement and theoretical analyses of the freezing-thawing processes around a probe
    • Zhang J., Hua T.C., Chen E.T. Experimental measurement and theoretical analyses of the freezing-thawing processes around a probe. Cryo-Lett. 21:2000;245-254.
    • (2000) Cryo-Lett , vol.21 , pp. 245-254
    • Zhang, J.1    Hua, T.C.2    Chen, E.T.3
  • 17
    • 0026902220 scopus 로고
    • A BEM approach to model heat flow during crystallization
    • Erhun M., Advani S.G. A BEM approach to model heat flow during crystallization. Int J Numer Meth Engng. 35:1992;351-368.
    • (1992) Int J Numer Meth Engng , vol.35 , pp. 351-368
    • Erhun, M.1    Advani, S.G.2
  • 18
    • 0027683495 scopus 로고
    • The boundary element method applied to freezing and melting problems
    • Vick B., Nelson D.J. The boundary element method applied to freezing and melting problems. Numer Heat Transfer, Part B. 24:1993;263-277.
    • (1993) Numer Heat Transfer, Part B , vol.24 , pp. 263-277
    • Vick, B.1    Nelson, D.J.2
  • 19
    • 0028448896 scopus 로고
    • Solidification problems by the boundary-element method
    • Zabaras N., Mukherjee S. Solidification problems by the boundary-element method. Int J Solids Struct. 31:1994;1829-1846.
    • (1994) Int J Solids Struct , vol.31 , pp. 1829-1846
    • Zabaras, N.1    Mukherjee, S.2
  • 20
    • 0029481018 scopus 로고
    • A front-tracking BEM formulation for one phase solidification melting problems
    • DeLimaSilva W., Wrobel L.C. A front-tracking BEM formulation for one phase solidification melting problems. Engng Anal Bound Elem. 16:1995;171-182.
    • (1995) Engng Anal Bound Elem , vol.16 , pp. 171-182
    • Delimasilva, W.1    Wrobel, L.C.2
  • 21
    • 0029481733 scopus 로고
    • Phase change with multiple fronts in cylindrical systems using the boundary element method
    • Yu X., Nelson D.J., Vick B. Phase change with multiple fronts in cylindrical systems using the boundary element method. Engng Anal Bound Elem. 16:1995;161-170.
    • (1995) Engng Anal Bound Elem , vol.16 , pp. 161-170
    • Yu, X.1    Nelson, D.J.2    Vick, B.3
  • 22
    • 0033749526 scopus 로고    scopus 로고
    • Heat transfer analysis of the continuous casting process by the front tracking BEM
    • Fic A., Nowak A.J., Bialecki R. Heat transfer analysis of the continuous casting process by the front tracking BEM. Engng Anal Bound Elem. 24:2000;215-223.
    • (2000) Engng Anal Bound Elem , vol.24 , pp. 215-223
    • Fic, A.1    Nowak, A.J.2    Bialecki, R.3
  • 23
    • 0036267762 scopus 로고    scopus 로고
    • Identification of phase change fronts by Bezier splines and BEM
    • Nowak I., Nowak A.J., Wrobel L.C. Identification of phase change fronts by Bezier splines and BEM. Int J Therm Sci. 41:2002;492-499.
    • (2002) Int J Therm Sci , vol.41 , pp. 492-499
    • Nowak, I.1    Nowak, A.J.2    Wrobel, L.C.3
  • 24
    • 0032644817 scopus 로고    scopus 로고
    • Multidimensional Phase change problems by the dual-reciprocity boundary-element method
    • Jo J.C., Shin W.K. Multidimensional Phase change problems by the dual-reciprocity boundary-element method. Numer Heat Transfer, Part B. 36:1999;95-113.
    • (1999) Numer Heat Transfer, Part B , vol.36 , pp. 95-113
    • Jo, J.C.1    Shin, W.K.2
  • 25
    • 0001476575 scopus 로고
    • A new approach to free vibration analysis using boundary elements
    • C.A. Brebbia. Berlin: Springer
    • Nardini D., Brebbia C.A. A new approach to free vibration analysis using boundary elements. Brebbia C.A. Boundary elements in engineering. 1982;Springer, Berlin.
    • (1982) Boundary Elements in Engineering
    • Nardini, D.1    Brebbia, C.A.2
  • 27
    • 0031701381 scopus 로고    scopus 로고
    • Dual reciprocity boundary element method for convective-diffusive solid-liquid phase change problems. Part 1. Formation
    • Sarler B., Kuhn G. Dual reciprocity boundary element method for convective-diffusive solid-liquid phase change problems. Part 1. Formation. Engng Anal Bound Elem. 21:1998;53-63.
    • (1998) Engng Anal Bound Elem , vol.21 , pp. 53-63
    • Sarler, B.1    Kuhn, G.2
  • 28
    • 0031699080 scopus 로고    scopus 로고
    • Dual reciprocity boundary element method for convective-diffusive solid-liquid phase change problems. Part 2. Numerical examples
    • Sarler B., Kuhn G. Dual reciprocity boundary element method for convective-diffusive solid-liquid phase change problems. Part 2. Numerical examples. Engng Anal Bound Elem. 21:1998;65-79.
    • (1998) Engng Anal Bound Elem , vol.21 , pp. 65-79
    • Sarler, B.1    Kuhn, G.2
  • 29
    • 0242401027 scopus 로고    scopus 로고
    • Boundary element analysis of the thawing and freezing characters in two kinds of microgravity heat pipes
    • Lu W.Q. Boundary element analysis of the thawing and freezing characters in two kinds of microgravity heat pipes. Res Trends: Trends Heat Mass Momentum Transfer. 5:1999;163-169.
    • (1999) Res Trends: Trends Heat Mass Momentum Transfer , vol.5 , pp. 163-169
    • Lu, W.Q.1
  • 30
    • 0034333497 scopus 로고    scopus 로고
    • Boundary element analysis of the heat transfer in Bridgman growth process of semi-transparent crystals
    • Lu W.Q. Boundary element analysis of the heat transfer in Bridgman growth process of semi-transparent crystals. Mater Sci Engng A, Struct. 292:2000;219-223.
    • (2000) Mater Sci Engng A, Struct. , vol.292 , pp. 219-223
    • Lu, W.Q.1
  • 31
    • 0242662147 scopus 로고    scopus 로고
    • Stimulation of two-dimensional multiple-phase-change moving-boundary problems by the dual-reciprocity boundary-element method
    • Lu W.Q., Guo W., Ma C.F. Stimulation of two-dimensional multiple-phase-change moving-boundary problems by the dual-reciprocity boundary-element method. Numer Heat Transfer, Part B. 43:2003;63-85.
    • (2003) Numer Heat Transfer, Part B , vol.43 , pp. 63-85
    • Lu, W.Q.1    Guo, W.2    Ma, C.F.3
  • 32
    • 84888360034 scopus 로고
    • Analysis of tissue and arterial blood temperatures in the resting human forearm
    • Pennes H.H. Analysis of tissue and arterial blood temperatures in the resting human forearm. J Appl Physiol. 1948;93-122.
    • (1948) J Appl Physiol , pp. 93-122
    • Pennes, H.H.1
  • 34
    • 0022658591 scopus 로고
    • An efficient algorithm for finite-difference analyses of heat transfer with melting and solidification
    • Hsiao J.S. An efficient algorithm for finite-difference analyses of heat transfer with melting and solidification. Numer Heat Transfer. 8:1985;653-666.
    • (1985) Numer Heat Transfer , vol.8 , pp. 653-666
    • Hsiao, J.S.1
  • 35
    • 0022660675 scopus 로고
    • The use of lumped capacitance in the finite-element solution of heat conduction problems with phase change
    • Pham Q.T. The use of lumped capacitance in the finite-element solution of heat conduction problems with phase change. Int J Heat Transfer. 29:1986;285-291.
    • (1986) Int J Heat Transfer , vol.29 , pp. 285-291
    • Pham, Q.T.1
  • 36
    • 0025478859 scopus 로고
    • A conservative algorithm for multidimensional conduction phase change
    • Comini G., Guidice S.D., Saro O. A conservative algorithm for multidimensional conduction phase change. Int J Numer Meth Engng. 30:1990;697-709.
    • (1990) Int J Numer Meth Engng , vol.30 , pp. 697-709
    • Comini, G.1    Guidice, S.D.2    Saro, O.3
  • 37
    • 0029290755 scopus 로고
    • Finite-element analysis of phase change problems using multilevel techniques
    • Lee R.T., Chiou W.Y. Finite-element analysis of phase change problems using multilevel techniques. Numer Heat Transfer, Part B. 27:1995;277-290.
    • (1995) Numer Heat Transfer, Part B , vol.27 , pp. 277-290
    • Lee, R.T.1    Chiou, W.Y.2
  • 38
    • 0031464316 scopus 로고    scopus 로고
    • Non-convergence versus non-conservation in effective heat capacity methods for phase change problems
    • Gong Z.X., Mujumdar A.S. Non-convergence versus non-conservation in effective heat capacity methods for phase change problems. Int J Numer Meth Heat Fluid Flow. 17:1997;565-579.
    • (1997) Int J Numer Meth Heat Fluid Flow , vol.17 , pp. 565-579
    • Gong, Z.X.1    Mujumdar, A.S.2
  • 39
    • 0344758389 scopus 로고    scopus 로고
    • Conjugate heat transfer during two-phase solidification process in a continuously moving metal using average heat capacity method
    • Amin M.R., Greif D. Conjugate heat transfer during two-phase solidification process in a continuously moving metal using average heat capacity method. Int J Heat Transfer. 31:1999;2883-2895.
    • (1999) Int J Heat Transfer , vol.31 , pp. 2883-2895
    • Amin, M.R.1    Greif, D.2
  • 40
    • 0033743619 scopus 로고    scopus 로고
    • Thermal analysis during continuous casting process using effective heat capacity method
    • Amin M.R. Thermal analysis during continuous casting process using effective heat capacity method. J Thermophys Heat Transfer. 14:2000;170-176.
    • (2000) J Thermophys Heat Transfer , vol.14 , pp. 170-176
    • Amin, M.R.1
  • 41
    • 0343238160 scopus 로고    scopus 로고
    • Boundary information based diagnostics on the thermal states of biological bodies
    • Liu J., Xu L.X. Boundary information based diagnostics on the thermal states of biological bodies. Int J Heat Mass Transfer. 43:2000;2827-2839.
    • (2000) Int J Heat Mass Transfer , vol.43 , pp. 2827-2839
    • Liu, J.1    Xu, L.X.2
  • 42
    • 0034446697 scopus 로고    scopus 로고
    • Parametric studies on the phase shift method to measure the blood perfusion of biological bodies
    • Deng Z.S., Liu J. Parametric studies on the phase shift method to measure the blood perfusion of biological bodies. Med Engng Phys. 22:2000;693-702.
    • (2000) Med Engng Phys , vol.22 , pp. 693-702
    • Deng, Z.S.1    Liu, J.2
  • 43
    • 0036960340 scopus 로고    scopus 로고
    • Analytical study on bioheat transfer problems with spatial or transient heating on skin surface or inside biological bodies
    • Deng Z.S., Liu J. Analytical study on bioheat transfer problems with spatial or transient heating on skin surface or inside biological bodies. ASME J Biomech Engng. 124:2002;638-649.
    • (2002) ASME J Biomech Engng , vol.124 , pp. 638-649
    • Deng, Z.S.1    Liu, J.2
  • 44
    • 0001291475 scopus 로고
    • Selected thermophysical properties of biological materials
    • Shitzer, & Eberhart. New York: Plenum Press
    • Chato J.C. Selected thermophysical properties of biological materials. Shitzer, Eberhart. Heat transfer in medicine and biology. 1985;Plenum Press, New York. p. 413-8.
    • (1985) Heat Transfer in Medicine and Biology , pp. 413-418
    • Chato, J.C.1
  • 46
    • 0019131352 scopus 로고
    • The effect of hyperthermia on vascular function, pH, and cell survival
    • Song C.W., Kang M.S., Rhee J.G., Patten M., Levitt S.H. The effect of hyperthermia on vascular function, pH, and cell survival. Radiat Biol. 137:1980;795-803.
    • (1980) Radiat Biol , vol.137 , pp. 795-803
    • Song, C.W.1    Kang, M.S.2    Rhee, J.G.3    Patten, M.4    Levitt, S.H.5
  • 47
    • 0021328206 scopus 로고
    • Differential response of normal and tumor microcirculation to hyperthermia
    • Dudar T.E., Jain R.K. Differential response of normal and tumor microcirculation to hyperthermia. Cancer Res. 44:1984;605-612.
    • (1984) Cancer Res , vol.44 , pp. 605-612
    • Dudar, T.E.1    Jain, R.K.2
  • 48
    • 0036907687 scopus 로고    scopus 로고
    • Monte Carlo method to solve multidimensional Bioheat transfer problem
    • Deng Z.S., Liu J. Monte Carlo method to solve multidimensional Bioheat transfer problem. Numer Heat Transfer, Part B. 42:2002;543-567.
    • (2002) Numer Heat Transfer, Part B , vol.42 , pp. 543-567
    • Deng, Z.S.1    Liu, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.