ARTICLE
Numerical analysis of the thermal damage process of the tissue-blood vessel system and distribution of oxygen in the tissue

More details
Hide details
1
Silesian University of Technology, Department of Computational Mechanics and Engineering, Gliwice, Poland

Submission date: 2021-10-05

Final revision date: 2022-01-10

Acceptance date: 2022-01-11

Online publication date: 2022-02-07

Publication date: 2022-04-30

Corresponding author
Marek Jasiński

Department of Computational Mechanics and Engineering, Silesian University of Technology, Konarskiego 18A, 44-100, Gliwice, Poland

Journal of Theoretical and Applied Mechanics 2022;60(2):199-212

KEYWORDS
TOPICS
ABSTRACT
The paper presents a numerical analysis of the thermal damage process taking place in biological tissue containing a blood vessel during laser irradiation. The internal heat source resulting from laser irradiation based on the solution of the optical diffusion equation is taken into account. The investigation was concerned with the influence of tissue denaturation and oxygen content in blood on temperature distribution. The analysis of oxygen transport to the tissue is treated as a part of the analysis of thermal damage processes. At the stage of numerical computations, the boundary element method and the finite difference method were used.

REFERENCES (25)
1.
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, 2537-2544.

2.
Akula S.C., Maniyeri R., 2020, Numerical simulation of bioheat transfer: a comparative study on hyperbolic and parabolic heat conduction, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 42, 62.

3.
Bessonov N., Sequeira A., Simakov S., Vassilevskii Yu., Volpert V., 2016, Methods of blood flow modelling, Mathematical Modelling of Natural Phenomena, 11, 1-25.

4.
Bosschard N., Edelman G.J., Aalders M.C.G., van Leeuwen T.G., Faber D.J., 2014, A literature review and novel theoretical approach on the optical properties of whole blood, Lasers in Medical Science, 29, 453-479.

5.
Brebia C.A., Dominguez J., 1992, Boundary Elements, an Introductory Course, 2nd ed. Computational Mechanics Publications, McGraw-Hill Book Company, London.

6.
Caro C.G., Pedley T.J., Schroter R.C., Seed W.A., 2012, The Mechanics of the Circulation, 2nd ed., Cambridge University Press.

7.
Dombrovsky L.A., 2012, The use of transport approximation and diffusion-based models in radiative transfer calculations, Computational Thermal Sciences, 4, 297-315.

8.
Friebel M., Roggan A., Müller G., Meinke M., 2006, Determination of optical properties of human blood in the spectral range 250 to 1100 nm using Monte Carlo simulations with hematocrit-dependent effective scattering phase functions, Journal of Biomedical Optics, 11, 034021.

9.
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, 79-86.

10.
Gonzalez-Suarez A., Berjano E., 2016, Comparative analysis of different methods of modeling the thermal effect of circulating blood flow during RF cardiac ablation, IEEE Transactions on Biomedical Engineering, 63, 250-259.

11.
Haghighi A.R., Asl M.S., Kiyasatfar M., 2015, Mathematical modeling of unsteady blood flow through elastic tapered artery with overlapping stenosis, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 37, 571-578.

12.
Hassanpour S., Saboonchi A., 2016, Modeling of heat transfer in a vascular tissue-like medium during an interstitial hyperthermia process, Journal of Thermal Biology, 62, 150-158.

13.
Jacques S.L., Pogue B.W., 2008, Tutorial on diffuse light transport, Journal of Biomedical Optics, 13, 1-19.

14.
Jasiński M., 2018, Numerical analysis of soft tissue damage process caused by laser action, AIP Conference Proceedings, 1922, 1-10.

15.
Jasiński M., 2020a, Modeling of injury process of biological tissue containing blood vessel caused by laser impulse, AIP Conference Proceedings, 2239, 20019.

16.
Jasiński M., 2020b, Numerical analysis of the temperature impact to the oxygen distribution in the biological tissue, Journal of Applied Mathematics and Computational Mechanics, 19, 3, 17-28.

17.
Korczak A., Jasiński M., 2019, Modelling of biological tissue damage process with application of interval arithmetic, Journal of Theoretical and Applied Mechanics, 57, 249-261.

18.
McGuire B.J., Secomb T.W., 2001, A theoretical model for oxygen transport in skeletal muscle under conditions of high oxygen demand, Journal of Applied Physiology, 91, 2255-2265.

19.
Majchrzak E., Turchan L., Jasiński M., 2019, Identification of laser intensity assuring the destruction of target region of biological tissue using the gradient method and generalized dual-phase lag equation, Iranian Journal of Science and Technology-Transactions of Mechanical Engineering, 43, 539-548.

20.
Muller L.O., Pares C., Toro E., 2013, Well-balanced high-order numerical schemes for one-dimensional blood flow in vessels with varying mechanical properties, Journal of Computational Physics, 242, 53-85.

21.
Paruch M., 2017, Identification of the cancer ablation parameters during RF hyperthermia using gradient, evolutionary and hybrid algorithms, International Journal of Numerical Methods for Heat and Fluid Flow, 27, 674-697.

22.
Paruch M., 2020, Mathematical modeling of breast tumor destruction using fast heating during radiofrequency ablation, Materials, 13, 136.

23.
Paul A., Paul A., 2018, Computational study of photo-thermal ablation of large blood vessel embedded tumor using localized injection of gold nanoshells, Journal of Thermal Biology, 78, 329-342.

24.
Whiteley J.P., Gavaghan D.J., Hahn C.E.W., 2002,Mathematical modelling of oxygen transport to tissue, Journal of Mathematical Biology, 44, 503-522.

25.
Zhu T.C., Liu B., Penjweini R., 2015, Study of tissue oxygen supply rate in a macroscopic photodynamic therapy singlet oxygen model, Journal of Biomedical Optics, 20, 038001.

 eISSN: 2543-6309 ISSN: 1429-2955