Skip to main content

DPL Model for Hyperthermia Treatment of Cancerous Cells Using Laser Heating Technique: A Numerical Study

  • Conference paper
  • First Online:
Proceedings of the Sixth International Conference on Mathematics and Computing

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1262))

  • 349 Accesses

Abstract

We have numerically simulated the temperature distribution in the living biological tissues for more effective thermal treatment of tumor cells based on the DPL (Dual Phase Lag) model of bioheat transfer equation having a laser heat source. The temperature distribution from the center of the spherical tissue towards the outer surface (taken as skin surface) is simulated. The numerical solutions of the DPL model for one-dimensional bioheat transfer equation along with laser heating conditions are obtained by using the finite difference method. The effects of the phase lag of the heat flux and the temperature gradient, the blood perfusion rate, thermal conductivity, and the laser heating parameter have been presented. The study shows that the phase lags and thermal conductivity have a greater influence on the temperature distribution for hyperthermia treatment in cancer therapy.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Roemer RB (1999) Engineering aspects of hyperthermia therapy. Annu Rev Biomed Eng 1:347–376

    Article  Google Scholar 

  2. Minkowycz WJ, Sprrow EM, Abraham JP (2009) Advances in numerical heat transfer, vol 3. CRC Press, Boca Raton, USA

    Google Scholar 

  3. Ng EYK, Chua LT (2001) Quick numerical assessment of skin burn injury with spreadsheet in PC. J Mech Med Biol 1:1–10

    Article  Google Scholar 

  4. Ng EYK, Chua LT (2002) Comparison of one and two dimensional programmes for predicting the state of skin burns. Burns 28:27–34

    Article  Google Scholar 

  5. Dua R, Chakraborty S (2004) A novel modeling and simulation technique of photo-thermal interactions between lasers and living biological tissues undergoing multiple changes in phase. Comput Biol Med 35:447–462

    Article  Google Scholar 

  6. Pennes HH (1948) Analysis of tissue and arterial blood temperature in the resting forearm. J Appl Physiol 1:93–122

    Article  Google Scholar 

  7. Klinger HG (1974) Heat transfer in perfused biological tissue. I. General theory. Bull Mathe Biol 36:403–415

    Google Scholar 

  8. Wulff W (1974) The energy conservation equation for living tissues. IEEE Trans-Biomed Eng 21:494–495

    Article  Google Scholar 

  9. Chen MM, Holmes KR (1980) microvascular contributions in tissue heat transfer. Ann New York Acad Sci 335:137–150

    Google Scholar 

  10. Shih TC, Yuan P, Lin WL (2007) Hong Sen Kou, Analytical analysis of the Pennes bioheat transfer equation with sinusoidal heat flux condition on skin surface. Med Eng Phys 29:946–953

    Article  Google Scholar 

  11. Deng ZS, Liu J (2002) Analytical study on bioheat transfer problems with spatial or transient heat on skin surface or inside biological bodies. J Biomed Eng 124:638–649

    Google Scholar 

  12. Diller KR (1992) Modeling of bioheat transfer processes at high and low temperatures. Adv Heat Trans 22:157–357

    Article  Google Scholar 

  13. Bhowmik A, Singh R, Repaka R, Mishra SC (2013) Conventional and newly developed bioheat transport models in vascularized tissues: A review. J Therm Biol 38:107–125

    Article  Google Scholar 

  14. Nakayama A, Kuwahara F (2008) A general bioheat transfer model based on the theory of porous media. Int J Heat Mass Transf 51:3190–3199

    Article  Google Scholar 

  15. Cattaneo C (1958) A form of heat conduction equation which eliminates the paradox of intantaneous propagation. Compte Rendus 247:431–433

    Google Scholar 

  16. Vernotte P (1961) Some possible complications in the phenomena of thermal conduction. Compte Rendus 252:2190–2191

    MathSciNet  Google Scholar 

  17. Weymann HD (1967) Finite speed of propagation in heat conduction, diffusion, and viscous shear motion. Am J Phys 35:488–96

    Article  Google Scholar 

  18. Tzou DY (1996) Macro- to microscale heat transfer: the lagging behavior. Taylor and Francis Washington, DC

    Google Scholar 

  19. Tzou DY (1995) The generalized lagging response in small-scale and high-rate heating. Int J Heat Mass Transf 38:3231–3240

    Article  Google Scholar 

  20. Antaki PJ (2000) Effect of dual-phase-lag heat conduction on ignition of a solid. J Thermophys Heat Transfer 14:276–78

    Article  Google Scholar 

  21. Zhang Y (2009) Generalized dual-phase lag bioheat equations based on nonequilibrium heat transfer in living biological tissues. Int J Heat Mass Transf 52:4829–834

    Article  Google Scholar 

  22. Xu F, Lu T, Seffen K (2008) Dual-phase-lag model of skin bioheat transfer. International Conference on BioMedical Engineering and Informatics 1

    Google Scholar 

  23. Poor HZ, Moosavi H, Moradi A (2016) Analysis of the dual phase lag bio-heat transfer equation with constant and dime dependent heat flux conditions on skin surface. J Therm Sci 20:1457–1472

    Article  Google Scholar 

  24. Liu KC, Chen HT (2009) Analysis for the dual-phase-lag bio-heat transfer during magnetic hyperthermia treatment. Int J Heat Mass Transf 52:1185–1192

    Article  Google Scholar 

  25. Afrin N, Zhou J, Zhang Y, Tzou DY, Chen JK (2012) Numerical simulation of thermal damage to living biological tissues induced by laser irradiation based on a generalised dual phase lag model. Numerical Heat Transfer 61:483–501

    Article  Google Scholar 

  26. Singh S, Kumar S (2014) Numerical study on triple layer skin tissue freezing using dual phase lag bio-heat model. Int J Therm Sci 86:12–20

    Article  Google Scholar 

  27. Kumar P, Kumar D, Rai KN (2016) Non-linear dual-phase-lag model for analyzing heat transfer phenomena in living tissues during thermal ablation. J Therm Biol 60:204–212

    Article  Google Scholar 

  28. Peng HS, Chen CL (2011) Application of hybrid differential transformation and finite difference method on the laser heating problem. Numer Heat Transfer, Part A 59:28–42

    Google Scholar 

  29. Lin SY, Lai HY, Chen CK (2011) Hyperthermia treatment for living tissue with laser heating problems by the differential transformation method. Numer Heat Transfer, Part A 60:499–518

    Google Scholar 

  30. Liu KC, Chen HT (2009) Analysis for the dual-phase-lag bio-heat transfer during magnetic hyperthermia treatment. Int J Heat Mass Trans 52:1185–1192

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to G. C. Shit .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Shit, G.C., Bera, A. (2021). DPL Model for Hyperthermia Treatment of Cancerous Cells Using Laser Heating Technique: A Numerical Study. In: Giri, D., Buyya, R., Ponnusamy, S., De, D., Adamatzky, A., Abawajy, J.H. (eds) Proceedings of the Sixth International Conference on Mathematics and Computing. Advances in Intelligent Systems and Computing, vol 1262. Springer, Singapore. https://doi.org/10.1007/978-981-15-8061-1_28

Download citation

Publish with us

Policies and ethics