Numerical analysis of biological tissue heating using the dual-phase lag equation with temperature - dependent parameters

• Autorzy: Majchrzak Ewa , Stryczyński Mikołaj

Identyfikatory

DOI

10.17512/jamcm.2022.3.07

• Języki publikacji: EN

Abstrakty

EN

The dual-phase lag equation is formulated for the case when the thermophysical parameters occurring in this equation are temperature-dependent. The axial-symmetrical domain of biological tissue heated by an external heat source is considered. The problem is solved using the implicit scheme of the finite difference method. At the stage of numerical computations, the analytical relationships taken from the literature describing changes in parameters are taken into account.

Słowa kluczowe

EN

bioheat transfer; dual-phase lag model; temperature-dependent parameter; finite difference method

PL

przepływ biociepła; model dwufazowego opóźnienia; metoda różnic skończonych

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2022
• Tom: Vol. 21, nr 3
• Strony: 85--98
• Opis fizyczny: Bibliogr. 18 poz., rys., tab.

Twórcy

autor

Majchrzak Ewa

• Department of Computational Mechanics and Engineering, Silesian University of Technology Gliwice, Poland

autor

Stryczyński Mikołaj

• Department of Computational Mechanics and Engineering, Silesian University of Technology Gliwice, Poland

Bibliografia

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• [4] Tzou, D.Y. (1996). Macro- to Microscale Heat Transfer: The Lagging Behavior. Washington, DC: Taylor and Francis.
• [5] Choudhuri, S.R. (2007). On a thermoelastic three-phase-lag model. Journal of Thermal Stresses, 30, 231-238.
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• [7] Kumar, D., & Rai, K.N. (2022). Three-phase-lag bioheat transfer model and its validation with experimental data. Mechanics Based Design of Structures and Machines, 50(7), 2493-2507.
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• [9] Jamshidi, M., & Ghazanfarian, J. (2021). Blood flow effects in thermal treatment of three-dimensional non-Fourier multilayered skin structure. Heat Transfer Engineering, 42(11), 929-946.
• [10] Majchrzak, E., & Stryczyński, M. (2021). Dual-phase lag model of heat transfer between blood vessel and biological tissue. Mathematical Biosciences and Engineering, 18(2), 1573-1589.
• [11] Bianchi, L., Cavarzan, F., Ciampitti, L., Cremonesi, M., Grilli, F., & Saccomandi, P. (2022). Thermophysical and mechanical properties of biological tissues as a function of temperature: a systematic literature review. International Journal of Hyperthermia, 39(1), 297-340.
• [12] Rossmann, Ch., & Haemmerich, D. (2014). Review of temperature dependence of thermal properties, dielectric properties, and perfusion of biological tissues at hyperthermic and ablation temperatures. Critical Reviews in Biomedical Engineering, 42(6), 467-492.
• [13] Silva, N.P., Bottiglieri, A., Conceição, R.C., O’Halloran, M., & Farina, L. (2020). Characterisation of ex vivo liver thermal properties for electromagnetic-based hyperthermic therapies. Sensors, 20, 3004 (14pp).
• [14] Mohammadi, A., Bianchi, L., Asadi, S., & Saccomandi, P. (2021). Measurement of ex vivo liver, brain and pancreas thermal properties as function of temperature. Sensors, 21, 4236 (15pp).
• [15] Lopresto, V., Argentieri, A., Pinto, R., & Cavagnaro, (2019). Temperature dependence of thermal properties of ex vivo liver tissue up to ablative temperatures. Physics in Medicine & Biology, 105016 (15pp).
• [16] Iljaž, J., Wrobel, L.C., Hriberšek, M., & Marn, J. (2019). Numerical modelling of skin tumour tissue with temperature-dependent properties for dynamic thermography. Computers in Biology and Medicine, 112, 103367 (15pp).
• [17] Majchrzak, E., & Kałuża, G. (2022). Sensitivity analysis of temperature in heated soft tissues with respect to time delays. Continuum Mechanics and Thermodynamics, 34, 587-599.
• [18] Majchrzak, E., & Mochnacki, B. (2017). Implicit scheme of the finite difference method for 1D dual-phase lag equation. Journal of Applied Mathematics and Computational Mechanics, 16(3), 37-46.

Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).