Symulacja numeryczna przepływu ciepła w organizmach żywych

• Autorzy: Mochnacki B. , Majchrzak E.

Warianty tytułu

EN

Numerical simulation of heat flow in live organisms

• Konferencja: Pierwsza Jesienna Szkoła Budowy i Eksploatacji Maszyn/Sympozjum(17-19.11.2005;Pokrzywna,Polska)
• Języki publikacji: PL

Abstrakty

PL

W pracy omówiono problemy związane z symulacją numeryczną przepływu ciepła w tkance biologicznej (przepływem biociepła). Algorytmy numeryczne bazują na tzw. równaniu Pennesa uzupełnionym odpowiednimi warunkami fizycznymi, geometrycznymi, brzegowymi i początkowymi (dla stanów nieustalonych). Dla obszarów niejednorodnych rozpatruje się układy tych równań. Prace w tym zakresie prowadzone były w ramach grantów KBN 8T11F 016 13, 8 T11F 004 19 i obecnie projektu 3 T11F 018 26 przez zespół kierowany przez autorów niniejszego artykułu i grupujący m.in. M. Dziewońskiego, M. Jasińskiego, G. Kałużę, M. Parucha, R. Szopę.

EN

The paper concerns numerical simulation of heat flow in the biological tissue (bioheat flow). Numerical algorithms use the Pennes equation completed with suitable physical, geometric, boundary and initial (for unsteady states) conditions. For non-homogeneous areas, systems of those equations are considered. The works on such problems were performed within the grants KBN 8T11F 016 13, 8T11F 004 19 and, at present they are performed within the project 3 T11F 018 26 by a team directed by the authors of this paper and including, among others, M.Dziewoński. M.Jasiński, G. Kałuża, M. Paruch, R. Szopa.

Słowa kluczowe

PL

symulacja numeryczna; przepływ ciepła; organizmy żywe

EN

numerical simulation; heat flow; live organisms

• Wydawca: Oficyna Wydawnicza Politechniki Opolskiej
• Czasopismo: Zeszyty Naukowe. Mechanika / Politechnika Opolska
• Rocznik: 2005
• Tom: z. 87
• Strony: 115--133
• Opis fizyczny: Bibliogr. 55 poz., il, wykr.

Twórcy

autor

Mochnacki B.

• Instytut Matematyki i Informatyki, Politechnika Częstochowska

autor

Majchrzak E.

• Katedra Wytrzymałości Materiałów i Metod Komputerowych Mechaniki, Politechnika Śląska

Bibliografia

• [1] BURCZYNSKI T., MAJCHRZAK E.: Evolutionary computation in inverse problems of mechanics and biomechanics, IUTAM Symposium on Evolutionary Methods in Mechanics, Abstracts, Cracow, Poland, 2002, 7-8.
• [2] DZIEWOŃSKI M.: Modelling of freezing process of the tissue subjected to the action of spherical cryoprobes, Scientific Research of the Institute of Mathematics and Computer Science, 1(3), 2004,41-46.
• [3] DZIEWOŃSKI M., MAJCHRZAK E., MOCHNACKI B.: Modelling of cyclic freezing process of the biological tissue using the BEM, 4th International Conference on Parallel Processing and Applied Mathematics, PPAM 2001, Workshop, Częstochowa 2001,47-52.
• [4] DZIEWOŃSKI M., MOCHNACKI B., SZOPA R: Numerical model of biological tissue freezing, Acta of Bioengineering and Biomechanics, Volume 1, Supplement 1,1999,139-142.
• [5] JASIŃSKI M., MAJCHRZAK E.: Sensitivity analysis of bum integrals with respect to the thermophysical properties of the skin, 4th International Conference on Parallel Processing and Applied Mathematics, PPAM 2001, Workshop, Częstochowa 2001,53-63.
• [6] MAJCHRZAK E.: Numerical modelling of bioheat transfer using the boundary element method, Journal of Theoretical and Applied Mechanics, 2, 36, 1998,437-455.
• [7] MAJCHRZAK E.: Numerical simulation of thermal processes proceeding in the system sperical cryoprobe - biological tissue, Fourth World Congress on Computational Mechanics, Buenos Aires, Argentina, 1998,1-12.
• [8] MAJCHRZAK E.: Numerical modelling of biological tissue freezing, Moving Boundaries VI, Computational Modelling of Free and Moving Boundary Problems, WIT Press, Southampton, Boston, 2001,153-162.
• [9] MAJCHRZAK E.: Identification of internal heat source in domain of tissue with a tumor, Proceedings of the Fifth World Congress on Computational Mechanics (WCCM V), July 7-12, 2002, Vienna, Austria, Editors: Mang, H. A.; Rammerstorfer, F. G.; Ebershardsteiner, J.; Publisher: Vienna University of Technology, Austria, ISBN 3-9501554-0-6, http://wccm.tuwien.ac.at. (10 stron)
• [10] MAJCHRZAK E., DROZDEK J., KAŁUŻA G.: Application of the multiple reciprocity BEM for numerical solution of bioheat transfer equation, Scientific Research of the Institute of Mathematics and Computer Science of Technical University of Częstochowa, 2002,1(1), 113-124.
• [11] MAJCHRZAK E., DZIEWOŃSKI M.: Numerical simulation of the Ice Ball Generation Using the Boundary Element Method, Proceedings of the IV National Conference on Applications of Mathematics in Biology and Medicine, Zwierzyniec, 1998,92-97.
• [12] MAJCHRZAK E., DZIEWOŃSKI M.: Numerical simulation of Freezing Process using the BEM, Proceedings of the XIV Polish Conference on Computer Methods in Mechanics, Rzeszów, 1999,241-242.
• [13] MAJCHRZAK E., DZIEWOŃSKI M.: Heat transfer in biological tissue subjected to the action of cylindrical cryoprobe, Moving Boundaries V, 1999, 29-36.
• [14] MAJCHRZAK E., DZIEWOŃSKI M.: Numerical simulation of freezing process using the BEM, Computer Assisted Mechanics and Engineering Sciences, 7, (2000), 667-676.
• [15] MAJCHRZAK E., DZIEWOŃSKI M.: Numerical analysis of biological tissue freezing process, KLUWER Academic Publishers, 2001,189-200
• [16] MAJCHRZAK E., DZIEWOŃSKI M., MOCHNACKI B.: Numerical analysis of temperature field in the tissue around blood vessel, CMM'2005 (przyjęto do druku)
• [17] MAJCHRZAK E„ JANISZ D., KAŁUŻA G., FREUS IC: Identification of the boundary condition on the skin surface subjected to external heat source, 9th hit. Conf. on Numerical Methods in Continuum Mechanics, CD-ROM Proceedings, ISBN 80-968823-4-1, Zilina, 2003,1-11.
• [18] MAJCHRZAK E., JANISZ D., MOCHNACKI B.: Identification of external heat flux on the basis of temperature distribution in domain of skin tissue, 15th International Conference on Computer Methods in Mechanics CMM-2003, 2003, CD-ROM Proceedings, ISBN-83-914632-4-9,1-6.
• [19] MAJCHRZAK E., JASIŃSKI M.: Sensitivity analysis of transient heat transfer in domain of biological tissue, 2nd European Conference on Computational Mechanics, ECCM 2001, Cracow, Poland, 2001, CD ROM Proceedings, 1-20.
• [20] MAJCHRZAK E., JASIŃSKI M.: Sensitivity study of burn predictions to variations in thermophysical properties of skin, Advances in Boundary Element Techniques H, Hoggar, Geneva, 2001,273-280.
• [21] MAJCHRZAK E., JASIŃSKI M.: Sensitivity analysis of bioheat transfer in 2D tissue domain subjected to an external heat source, Acta of Bioengineering and Biomechanics, Vol, 3, Suppl. 2, (2001), 329-336.
• [22] MAJCHRZAK E., JASIŃSKI M.: Evaluation of burns with regard to variations of thermophysical parameters of skin tissue, Annales Academiae Medicae Silesiensis, Supl. 32, (2001), 127-134.
• [23] MAJCHRZAK E., JASIŃSKI M.: Numerical estimation of burn degree of skin tissue using the sensitivity analysis methods, Acta of Bioengineering and Biomechanics, Vol. 4, Suppl. 1, (2002), 464-465.
• [24] MAJCHRZAK E, JASIŃSKI M.: Numerical analysis of bioheat transfer processes in tissue domain subjected to a strong external heat source, Proceedings of the Third International Conference on Boundary Element Techniques, Eds. Z. Yao, M. H. Aliabadi, Tsinghua University Press, Springer, 2002, 377-382.
• [25] MAJCHRZAK E., JASIŃSKI M.: Numerical estimation of burn degree of skin tissue using the sensitivity analysis methods, Acta of Bioengineering and Biomechanics, Vol. 5, No 1, 2003, 93-108.
• [26] MAJCHRZAK E, JASIŃSKI M.: Parameter sensitivity analysis of burn integrals using the adjoint approach, Scientific Research of the Institute of Mathematics and Computer Science, 1(3), 2004,115-120.
• [27] MAJCHRZAK E., JASIŃSKI M.: Sensitivity analysis of burns integrals, Computer Assisted Mechanics and Engineering Sciences, Vol. 11, No 2/3, 2004, 125-136.
• [28] MAJCHRZAK E„ JASIŃSKI M., JANISZ D.: Identification of thermal parameters of biological tissue, Acta of Bioengineering and Biomechanics, Vol. 6, Suppl. 1,2004,467-470.
• [29] MAJCHRZAK E., JASIŃSKI M., KAŁUŻA G.: Sensitivity analysis of burns integrals with respect to the geometrical parameters of skin, 15th International Conference on Computer Methods in Mechanics CMM-2003, CD-ROM Proceedings, ISBN-83-914632-4-9,1-6.
• [30] MAJCHRZAK E., JASIŃSKI M., POWNUK A.: A boudary element model of burns of a skin with interval thermophysical parameters, Acta of Bioengineering and Biomechanics, Volume 1, Supplement 1,1999, 305-308.
• [31] MAJCHRZAK E., KAŁUŻA G.: Modelling of temperature distribution in heating tissue with regard to the shape sensitivity analysis, Scientific Research of the Institute of Mathematics and Computer Science, 1(3), 2004, 121-126.
• [32] MAJCHRZAK E., MOCHNACKI B.: The model of ice-ball formation during the brain tissue freezing on the basis of the BEM, Proceedings of the Int. Symposium on Boundary Element Method IABEM'98, Paris, France, 1998, 151-152
• [33] MAJCHRZAK E., MOCHNACKI B.: Application of the BEM for Numerical Modelling of Heat Transfer in the System Single Blood Vessel -Biological Tissue, Conference on Numerical Methods and Computational Mechanics 1998, Miskolc, Hungary, 1998,64-66.
• [34] MAJCHRZAK E., MOCHNACKI B.: Numerical model of heat transfer between blood vessel and biological tissue, Computer Assisted Mechanics and Engineering Sciences, 6, (1999), 439-447.
• [35] MAJCHRZAK E., MOCHNACKI B.: Numerical analysis of heat exchange between artery-vein pair and biological tissue, IABEM 2000, Symposium of the International Association for Boundary Element Methods, Brescia, 2000, 143-145.
• [36] MAJCHRZAK E., MOCHNACKI B.: A boundary element model of biological tissue subjected to a flash fire, European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000, Barcelona, 11-14 September 2000, CD-ROM Proceedings, 1-12.
• [37] MAJCHRZAK E., MOCHNACKI B.: Analysis of bioheat transfer in the system of blood vessel - biological tissue, KLUWER Academic Publishers, 2001,201-211
• [38] MAJCHRZAK E., MOCHNACKI B.: Analysis of thermal processes occuring in tissue with a tumor region using the BEM, Journal of Theoretical and Applied Mechanics, 1,40, 2002,101-112.
• [39] MAJCHRZAK E., MOCHNACKI B, DZIEWOŃSKI M.: Numerical simulation of biological tissue freezing process, Proceedings of the 2nd Int. Conference on Parallel Processing and Applied Mathematics PPAM'97, Zakopane, 1997, 591-602
• [40] MAJCHRZAK E., MOCHNACKI B., JASIŃSKI M.: Application of the finite element method for modelling of biological tissue freezing process, Conference on Biomechanics, Computational Methods, Experiments and Biomedical Applications, Łódź, 1998,161-168.
• [41] MAJCHRZAK E„ MOCHNACKI B., JASIŃSKI M.: Numerical modelling of bioheat transfer in multi-layer skin tissue domain subjected to a flash fire, Computational Fluid and Solid Mechanics, Elsevier, Vol. H, (2003), 1766- 1770.
• [42] MAJCHRZAK E., MOCHNACKI B., SZOPA R.: Numerical analysis of temperature distribution in the skin tissue with a tumor, Annales Academiae Medicae Silesiensis, Supl. 32, 2001, 135-142.
• [43] MAJCHRZAK E., PARUCH M.: Estimation of internal heat source in a tumor region on the basis of skin surface temperature, Acta of Bioengineering and Biomechanics, Vol. 6, Suppl. 1,2004,471-475.
• [44] MOCHNACKI M., DZIEWOŃSKI M.: Numerical analysis of cyclic freezing/thawing process of biological tissue, Acta of Bioengineering and Biomechanics, Vol. 3, Suppl. 2, 2001, 361-368.
• [45] MOCHNACKI M., DZIEWOŃSKI M.: Numerical analysis of cyclic freezing, Acta of Bioengineering and Biomechanics, Vol. 6, Suppl. 1, 2004, 476-479.
• [46] MOCHNACKI B., FREUS S.: Numerical modeling of frost-bite process, 9th hit. Conf. on Numerical Methods in Continuum Mechanics, CD-ROM Proceedings, ISBN 80-968823-4-1, Zilina, 2003, 1-7.
• [47] MOCHNACKI B., LARA S.: The enthalpy approach in numerical modelling of skin tissue frostbite, 15th International Conference on Computer Methods in Mechanics CMM-2003, 2003, CD-ROM Proceedings, ISBN-83-914632-4-9,1-4.
• [48] MOCFINACKIB., MAJCHRZAK E.: Numerical solution of bioheat transfer equation using the boundary element method, European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2000, Barcelona, 11-14 September 2000, CD-Rom Proceedings, 1-10.
• [49] MOCHNACKI B., MAJCHRZAK E.: Sensitivity of the skin tissue on the activity of external beat sources, Computer Modeling in Engineering and Sciences, Vol 4, No 3-4,2003,431-438.
• [50] MOCHNACKI B., MAJCHRZAK E.: Sensitivity analysis of biological tissue freezing process, 4th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS, 2904, Jyvaskyla, Finland, CD-ROM Proceedings, Vol. 1,1-9.
• [51] MOCHNACKI B., MAJCHRZAK E., KAŁUŻA G.: Modelling of biological tissue freezing process with regard to sensitivity analysis, Acta of Bioengineering and Biomechanics, Vol. 6, Suppl. 1,2004, 480-484.
• [52] MOCHNACKI B., MAJCHRZAK E., LUPA M.: Coupled Model of Thermal Processes in the System Blood Vessel - Biological Tissue, Proceedings of the European Conference on Computational Mechanics 1999, editor: W. Wunderlich, Munich, Germany, 1999, 1-12
• [53] MOCHNACKI B., MAJCHRZAK E„ PAWLAK E.: Application of generalized FDM for numerical modelling of heat transfer in the system blood vessels - biological tissue, Proceedings of the XIV Polish Conference on Computer Methods in Mechanics, Rzeszów, 1999, 251-252.
• [54] MOCHNACKI B., MAJCHRZAK E., SZOPA R.: Application of the BEM for numerical analysis of temperature field in the skin tissue with a tumor, Proceedings of the Third International Conference on Boundary Element Techniques, Eds. Z. Yao, M. H.Aliabadi, Tsinghua University Press, Springer, 2002,399-404.
• [55] MOCHNACKI B., PAWLAK E., LARA S.: Application of generalized finite difference method in numerical modelling of bioheat transfer processes, Acta of Bioengineering and Biomechanics, Vol. 4, Suppl. 1, 2002,478-479.