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Warianty tytułu
Języki publikacji
Abstrakty
In the following paper, the numerical analysis of thermal processes occurring in biological tissue with uncertain parameters is presented. The heat transfer model is based on the Pennes equation, where interval heat sources are introduced. The model is assumed to be transient and one-dimensional. Additionally, analysed tissue is exposed to laser irradi ation, and the internal heat sources resulting from laser irradiation based on the Beer law are taken into account. Moreover, the perfusion rate and the effective scattering coefficient are treated as variables dependent on tissue damage. For numerical calculations, the interval version of the Finite Pointset Method has been used. All calculations are performed due to the direct interval arithmetic rules. The paper is concluded by presenting the obtained results
Rocznik
Tom
Strony
41--53
Opis fizyczny
Bibliogr. 16 poz., rys., tab.
Twórcy
autor
- Department of Computational Mechanics and Engineering, Silesian University of Technology Gliwice, Poland
Bibliografia
- 1. Gupta, P.K., Singh, J., Rai, K.N., & Rai, S.K. (2013). Solution of the heat transfer problem in tissues during hyperthermia by finite difference-decomposition method. Applied Mathematics and Computation, 219(12), 6882-6892.
- 2. Karaa, S., Zhang, J., & Yang, F. (2005). A numerical study of a 3D bioheat transfer problem with different spatial heating. Mathematics and Computers in Simulation, 68(4), 375-388.
- 3. Jasiński, M. (2015). Modelling of thermal damage in laser irradiated tissue. Journal of Applied Mathematics and Computational Mechanics, 14(4), 67-78.
- 4. Abraham, J.P., & Sparrow, E.M. (2007). A thermal-ablation bioheat model including liquid-to- -vapor phase change, pressure- and necrosis-dependent perfusion, and moisture-dependent properties. International Journal of Heat and Mass Transfer, 50(13-14), 2537-25
- 5. Paruch, M., Piasecka-Belkhayat, A., & Korczak, A. (2023). Identification of the ultra-short laser parameters during irradiation of thin metal films using the interval lattice Boltzmann method and evolutionary algorithm. Advances in Engineering Software, 180, 103456.
- 6. Skorupa, A., & Piasecka-Belkhayat, A. (2023). Comparison of heat transfer phenomena for two different cryopreservation methods: slow freezing and vitrification. Journal of Applied Mathematics and Computational Mechanics, 22(1), 53-65.
- 7. Korczak, A., & Jasiński, M. (2019). Modelling of biological tissue damage process with application of interval arithmetic. Journal of Theoretical and Applied Mechanics, 57(1), 249-261.
- 8. Kuhnert, J. (1999). General Smoothed Particle Hydrodynamics, Ph.D. thesis. Technische Universität Kaiserslauter
- 9. Tiwari, S., & Kuhnert, J. (2001). Grid free method for solving the Poisson equation. Berichte Des Fraunhofer ITWM, 25.
- 10. Saucedo-Zendejo, F.R., & Nóbrega, J.M. (2022). A novel approach to model the flow of generalized Newtonian fluids with the finite pointset method. Computational Particle Mechanics, 9(4), 585-595.
- 11. Wawreńczuk, A., Kuhnert, J., & Siedow, N. (2007). FPM computations of glass cooling with radiation. Computer Methods in Applied Mechanics and Engineering, 196(45-48), 4656-4671.
- 12. Saucedo-Zendejo, F.R., & Reséndiz-Flores, E.O. (2020). Meshfree numerical approach based on the Finite Pointset Method for static linear elasticity problems. Computer Methods in Applied Mechanics and Engineering, 372, 113367.
- 13. Reséndiz-Flores, E.O., & Saucedo-Zendejo, F.R. (2018). Numerical simulation of coupled fluid flow and heat transfer with phase change using the Finite Pointset Method. International Jour nal of Thermal Sciences, 133, 13-21
- 14. Uhlmann, E., Barth, E., Seifarth, T., Höchel, M., Kuhnert, J., & Eisenträger, A. (2020). Simulation of metal cutting with cutting fluid using the Finite-Pointset-Method. Procedia CIRP, 101, 98-101.
- 15. Glenn, T.N., Rastegar, S., & Jacques, S.L. (1996). Finite element analysis of temperature controlled coagulation in laser irradiated tissue. IEEE Transactions on Biomedical Engineering, 43(1), 79.
- 16. Jasiński, M. (2010). Numerical modeling of tissue coagulation during laser irradiation controlled by surface temperature. Scientific Research of the Institute of Mathematics and Computer Science, 9(1), 29-36.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-a37bfc02-c120-44c6-bcb1-e7ed9a3c4cfe