Impact of nonlinear heat transfer on temperature control in regional hyperthermia

IEEE Transactions on Biomedical Engineering

Volumn 46, Issue 9, 1999, Pages 1129-1138

  Lang, Jens ^a   Erdmann, Bodo ^a   Seebass, Martin ^a  

^a ZUSE INSTITUTE BERLIN   (Germany)

Author keywords

Finite elements; Hyperthermia; Mesh control; Nonlinear heat transfer; Optimization

Indexed keywords

FINITE ELEMENT METHOD; HEAT TRANSFER; HEMODYNAMICS; MATHEMATICAL MODELS; OPTIMIZATION; TEMPERATURE DISTRIBUTION;

NONLINEAR HEAT TRANSFER;

HYPERTHERMIA THERAPY;

ARTICLE; CASE REPORT; ELECTROMAGNETIC RADIATION; HEAT TRANSFER; HUMAN; HYPERTHERMIA; HYPERTHERMIC THERAPY; PERFUSION; SOLID TUMOR; THERMOREGULATION;

ALGORITHMS; BONE AND BONES; COMPUTER SIMULATION; HEAT; HUMANS; HYPERTHERMIA, INDUCED; MODELS, ANATOMIC; MODELS, BIOLOGICAL; MUSCLES; NEOPLASMS; NONLINEAR DYNAMICS; TOMOGRAPHY, X-RAY COMPUTED;

EID: 0032819562     PISSN: 00189294     EISSN: None     Source Type: Journal    
DOI: 10.1109/10.784145     Document Type: Article

References (21)

1. R. Beck, P. Deuflhard, H.-C. Hege, M. Seebass, and D. Stalling, "Numerical algorithms and visualization in medical treatment planning," in Visualization and Mathematics, H.-C. Hege and K. Polthier, Eds. Heidelberg, Germany: Springer-Verlag, 1997, pp. 303-328.
2. R. Beck, P. Deuflhard, R. Hiptmair, R. H. W. Hoppe, and B. Wohlmuth, Adaptive Multilevel Methods for Edge Element Discretizations of Maxwell's Equations. Berlin, Germany: Konrad-Zuse-Zentrum für Informationstechnik, 1997, preprint SC 97-66.
3. F. Bornemann, B. Erdmann, and R. Kornhuber, "Adaptive multilevel methods in three space dimensions," Int. J. Num. Meth. Eng., vol. 36, pp. 3187-3203, 1993.
4. H. Brinck and J. Werner, "Efficiency function: Improvement of classical bioheat approach," J. Appl. Physiol., vol. 77, pp. 1617-1622, 1994.
5. "Use of vascular and nonvascular models for the assessment of temperature distribution during induced hyperthermia," Int. J. Hypertherm., vol. 11, pp. 615-626, 1995.
6. B. Erdmann, J. Lang, and R. Roitzsch, KASKADE-Manual, KonradZuse-Zentrum für Informationstechnik, Berlin, Germany, Tech. Rep. TR 93-05, 1993.
7. B. Erdmann, J. Lang, and M. Seebass, "Adaptive solutions of nonlinear parabolic equations with application to hyperthermia treatments," in CHT'97: Advances in Computational Heat Transfer, G. de Vahl Davis and E. Leonardi, Eds. New York: Begell House, 1998, pp. 103-110.
8. M. Garland and P. S. Heckbert, "Surface simplification using quadric error metrics," in Computer Graphics Proceeding. Reading, MA: Addison Wesley, 1997, pp. 209-216.
9. K. Gustafsson, "Control of error and convergence in ODE solvers," Ph.D. dissertation, Dept. of Automat. Contr., Lund Inst. Technol., Lund, Sweden, 1992.
10. E. Hairer and G. Wanner, Solving Ordinary Differential Equations II, Stiff and Differential-Algebraic Problems. Berlin, Germany: SpringerVerlag, 1991.
11. H.-C. Hege, M. Seebass, D. Stalling, and M. Zöckler, A Generalized Marching Cubes Algorithm Based on Non-Binary Classifications. Berlin, Germany: , Konrad-Zuse-Zentrum für Informationstechnik, 1997, preprint SC 97-05.
12. A. Kotte, J. van Leeuwen, J. de Bree, J. van der Koijk, H. Crezee, and J. Lagendijk, "A description of discrete vessel segments in thermal modeling of tissues," Phys. Med. Biol., vol. 41, pp. 865-884, 1996.
13. J. Lang, "Adaptive FEM for reaction-diffusion equations," Appl. Numer. Math., vol. 26, pp. 105-116, 1998.
14. W. E. Lorensen and H. E. Cline, "Marching cubes: A high resolution 3-D surface construction algorithm," Comput. Graphics, vol. 21, pp. 163-169, 1987.
15. K. S. Nikita, N. G. Maratos, and N. K. Uzunoglu, "Optimal steady-state temperature distribution for a phased array hyperthermia system," IEEE Trans. Biomed. Eng., vol. 40, pp. 1299-1306, 1993.
16. H. H. Pennes, "Analysis of tissue and arterial blood temperatures in the resting human forearm," J. Appl. Physiol., vol. 1, pp. 93-122, 1948.
17. M. Seebass, D. Stalling, J. Nadobny, P. Wust, R. Felix, and P. Deuflhard, "Three-dimensional finite element mesh generation for numerical simulations of hyperthermia treatments," in Proc. 7th Int. Congress on Hyperthermic Oncol., Roma, C. Franconi, G. Arcangeli, and R. Cavalière, Eds., vol. 2, pp. 547-548, 1996.
18. C. W. Song, A. Lokshina, J. G. Rhee, M. Patten, and S. H. Levitt, "Implication of blood flow in hyperthermic treatment of tumors," IEEE Trans. Biomed. Eng., vol. 31, pp. 9-16, 1984.
19. D. T. Tompkins, R. Vanderby, S. A. Klein, W. A. Beckman, R. A. Sleeves, D. M. Frey, and B. R. Palival, "Temperature-dependent versus constant-rate blood perfusion modeling in ferromagnetic thermoseed hyperthermia: Results with a model of the human prostate," Int. J. Hypertherm., vol. 10, pp. 517-536, 1994.
20. S. Weinbaum and L. M. Jiji, "A new simplified bio-heat equation for the effect of blood flow on local average tissue temperature," J. Biomech. Eng. Trans. ASME, vol. 107, pp. 131-139, 1985.
21. P. Wust, M. Seebass, J. Nadobny, P. Deuflhard, G. Mönich, and R. Felix, "Simulation studies promote technological development of radiofrequency phased array hyperthermia," Int. J. Hypertherm., vol. 12, pp. 477-494, 1996.