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Volumn 27, Issue 8, 2004, Pages 971-989

Multiscale analysis of thermoregulation in the human microvascular system

Author keywords

Bio heat equation; Correctors; Heat transfer; Homogenization; Hyperthermia; Robin boundary conditions

Indexed keywords

BLOOD; BOUNDARY CONDITIONS; HYPERTHERMIA THERAPY; MATHEMATICAL MODELS; MICROWAVE ANTENNAS; PARTIAL DIFFERENTIAL EQUATIONS; THERMAL CONDUCTIVITY; TISSUE; TUMORS;

EID: 2442710613     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/mma.499     Document Type: Article
Times cited : (21)

References (21)
  • 1
    • 2442641335 scopus 로고    scopus 로고
    • Adaptive Multilevel FEM as decisive tools in the clinical cancer therapy hyperthermia
    • Choi-Hong Lai, Peter E. Bjrstad, Mark Cross, Olof O. Widlund (eds). DDM-org Press: Bergen
    • Deuflhard P, Seebass M, Adaptive Multilevel FEM as decisive tools in the clinical cancer therapy hyperthermia. In Proceedings Eleventh International Conference on Domain Decomposition Methods, Choi-Hong Lai, Peter E. Bjrstad, Mark Cross, Olof O. Widlund (eds). DDM-org Press: Bergen, 1999; 403-414.
    • (1999) Proceedings Eleventh International Conference on Domain Decomposition Methods , pp. 403-414
    • Deuflhard, P.1    Seebass, M.2
  • 2
    • 2442695108 scopus 로고    scopus 로고
    • Differential equations in technology and medicine: Computational concepts, adaptive algorithms, and virtual labs
    • Burkard R, Deuflfhard P, Janeson P, Lions J-L, Strang G, Capasso V, Engl H, Periaux J (eds). Springer Lecture Notes in Mathematics. Springer: Berlin
    • Deuflhard P. Differential equations in technology and medicine: computational concepts, adaptive algorithms, and virtual labs. In Computational Mathematics Driven by Industrial Problems, Burkard R, Deuflfhard P, Janeson P, Lions J-L, Strang G, Capasso V, Engl H, Periaux J (eds). Springer Lecture Notes in Mathematics, vol. 1739. Springer: Berlin, 2000; 69-126.
    • (2000) Computational Mathematics Driven by Industrial Problems , vol.1739 , pp. 69-126
    • Deuflhard, P.1
  • 3
    • 84888360034 scopus 로고
    • Analysis of tissue and arterial blood temperatures in the resting human forearm
    • Pennes HH. Analysis of tissue and arterial blood temperatures in the resting human forearm. Journal of Applied Physiology 1948; 1:93-122.
    • (1948) Journal of Applied Physiology , vol.1 , pp. 93-122
    • Pennes, H.H.1
  • 7
    • 84974746759 scopus 로고
    • Homogenization of the Stokes flow in a connected porous medium
    • Allaire G. Homogenization of the Stokes flow in a connected porous medium. Asymptotic Analysis 1989; 2:203-222.
    • (1989) Asymptotic Analysis , vol.2 , pp. 203-222
    • Allaire, G.1
  • 8
    • 0016440631 scopus 로고
    • Equations et phénomenes des surfaces pour l'écoulement dans un modéle de milieux poreux
    • Ene HI, Sanchez-Palencia E. Equations et phénomenes des surfaces pour l'écoulement dans un modéle de milieux poreux. Journal de Mécanique 1987; 14:73-108.
    • (1987) Journal de Mécanique , vol.14 , pp. 73-108
    • Ene, H.I.1    Sanchez-Palencia, E.2
  • 10
    • 0021225955 scopus 로고
    • A three-dimensional description of heating patterns in vascularised tissues during hyperthermia treatment
    • Lagendijk JJW, Schellekens M, Schipper J, van der Linden PM. A three-dimensional description of heating patterns in vascularised tissues during hyperthermia treatment. Phys. Med. Biol 1984; 29:495-507.
    • (1984) Phys. Med. Biol , vol.29 , pp. 495-507
    • Lagendijk, J.J.W.1    Schellekens, M.2    Schipper, J.3    Van der Linden, P.M.4
  • 11
    • 84902343352 scopus 로고    scopus 로고
    • Computational vascular fluid dynamics: Problems, models, and methods
    • Quarteroni A, Tuveri M, Veneziani A. Computational vascular fluid dynamics: problems, models, and methods. Comp. Vis. Sci. 2000; 2:163-197.
    • (2000) Comp. Vis. Sci. , vol.2 , pp. 163-197
    • Quarteroni, A.1    Tuveri, M.2    Veneziani, A.3
  • 12
  • 14
    • 84974755184 scopus 로고
    • Homogeneisation du probleme de Neumann non homogene dans des ouverts perfores
    • Cioranescu D, Donato P. Homogeneisation du probleme de Neumann non homogene dans des ouverts perfores. Asymptotic Analysis 1988; 1:115-138.
    • (1988) Asymptotic Analysis , vol.1 , pp. 115-138
    • Cioranescu, D.1    Donato, P.2
  • 17
    • 0003320921 scopus 로고
    • Elliptic problems in nonsmooth domains
    • Pitman: London
    • Grisvard P. Elliptic problems in nonsmooth domains. Monographs and Studies in Mathematics, vol. 24. Pitman: London, 1985.
    • (1985) Monographs and Studies in Mathematics , vol.24
    • Grisvard, P.1
  • 18
    • 0039982148 scopus 로고    scopus 로고
    • Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
    • Hou TY, Wu X-H, Cai Z. Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients. Mathematics of Computation 1999; 68:913-943.
    • (1999) Mathematics of Computation , vol.68 , pp. 913-943
    • Hou, T.Y.1    Wu, X.-H.2    Cai, Z.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.