Improved numerical modelling of heat transfer in human tissue exposed to RF energy

  • Mikheil Prishvin
  • Revaz Zaridze
  • Giorgi Bit-Babik
  • Antonio Faraone
Scientific Paper


A novel numerical model to simulate thermal response of human body tissues exposed to RF energy is presented in this article. It is based on a new algorithm for the construction of a realistic blood vessel network, a new model of blood flow velocity distribution and an approach to solve the bio-heat equation in human tissue with variable and initially unknown blood temperature distribution. The algorithm generates a discrete 3D representation of both arterial and venous vascular networks and a continuous blood velocity vector field for arbitrary enclosed geometries required to represent the complex anatomy of human body and blood flow. The results obtained in this article by applying the developed method to realistic exposure conditions demonstrates relative difference in thermal response of the exposed tissue compared to results obtained by conventional bio-heat equation with constant blood perfusion and temperature. The developed technique may provide more accurate and realistic modelling in thermal dosimetry studies of human body RF exposure.


Bio-heat equation Dosimetry Modeling Vascular network 


  1. 1.
    Pennes HH (1948) Analysis of tissue and arterial blood temperatures in the resting human forearm. J Appl Physiol 1:93–102PubMedGoogle Scholar
  2. 2.
    Bernardi P, Cavagnaro M, Pisa S, Piuzzi E (2003) Specific absorption rate and temperature elevation in a subject exposed in the far-field of radio-frequency sources operating in the 10–900-MHz range. IEEE Trans Biomed Eng 50:295–304CrossRefPubMedGoogle Scholar
  3. 3.
    Kotte A, van Leeuwen G, de Bree J, van der Koijk J, Crezee H, Lagendijk J (1996) A description of discrete vessel segments in thermal modeling of tissues. Phys Med Biol 41:865–884CrossRefPubMedGoogle Scholar
  4. 4.
    Hirata A, Fujiwara O (2009) Modeling time variation of blood temperature in a bioheat equation and its application to temperature analysis due to RF exposure. Phys Med Biol 54:N189–N196CrossRefPubMedGoogle Scholar
  5. 5.
    Mooibroek J, Lagendijk JJ (1991) A fast and simple algorithm for the calculation of convective heat transfer by large vessels in three-dimensional inhomogeneous tissues. IEEE Trans Biomed Eng 38(5):490–501CrossRefPubMedGoogle Scholar
  6. 6.
    Flyckt VM et al (2007) Calculation of SAR and temperature rise in a high-resolution vascularized model of the human eye and orbit when exposed to a dipole antenna at 900, 1500 and 1800 MHz. Phys Med Biol 52:2691–2701CrossRefPubMedGoogle Scholar
  7. 7.
    Buccella C, De Santis V, Feliziani M (2007) Prediction of temperature increase in human eyes due to RF sources. IEEE Trans EMC 49(4):825–833Google Scholar
  8. 8.
    Kakulia D, Manukyan L, Prishvin M, Jeladze V, Zaridze R, Bit-Babik G, Faraone G (2008) Vascular structure construction in human model for consideration of blood flow in heat exchange during em exposure. In: EUROEM 2008 European electromagnetics, 21–25 July 2008, Swiss Federal Institute of Technology (EPFL), Lausanne, Switzerland, pp 166Google Scholar
  9. 9.
    Prishvin M, Manukyan L, Jeladze V, Petoev I, Tabatazde V, Kakulia D, Zaridze R (2008) Numerical simulation of heat transfer in human tissue according to improved vascular structure model. In: Proceedings of XIIIth international seminar/workshop on direct and inverse problems of electromagnetic and acoustic wave theory (DIPED-2008), 22–25 Sep 2008, Tbilisi, Georgia, pp 143–148Google Scholar
  10. 10.
    Prishvin, M, Manukyan L, Zaridze R (2009) Vascular structure model for improved numerical simulation of heat transfer in human tissue. In: 20-th international Zurich symposium on electromagnetic compatibility, 12–16 Jan 2009, Zurich, Switzerland, pp 261–264Google Scholar
  11. 11.
    Bit-Babik G, Prishvin M, Kakulia D, Zaridze R, Faraone A (2009) Modified bio-heat equation according to new vascular system model. In: Technical program, Davos Congress Center, Davos, Switzerland, 14–19 June 2009, pp 774–775.
  12. 12.
    Van Leeuewen GMJ, Kotte ANTJ, Lagendijk JJW (1998) A flexible algorithm for construction of 3-D vessel networks for use in thermal modeling. IEEE Trans Biomed Eng 45:596–604CrossRefGoogle Scholar
  13. 13.
    Murray C (1926) The physiological principle of minimum work: I. The vascular system and the cost of blood volume. Proc Natl Acad Sci USA 12:207–214CrossRefPubMedGoogle Scholar
  14. 14.
    Zaridze R, Bit-Babik G, Tavzarashvili K, Uzunoglu N, Economou D (2002) Wave field singularity aspects large-size scatterers and inverse problems. IEEE Trans Antennas Propag 50(1):50–58CrossRefGoogle Scholar
  15. 15.
    Tikhonov A, Samarski A (1966) Equations of mathematical physics. Nauka, Moscow, p 459 (in Russian)Google Scholar
  16. 16.
    Shoshiashvili L, Razmadze A, Jejelava N, Zaridze R, Bit-Babik LG, Faraone A (2006) Validation of numerical bioheat FDTD model. In: Proceedings of XIth international seminar/workshop on direct and inverse problems of electromagnetic and acoustic wave theory (DIPED-2006), 11–13 Oct 2006, Tbilisi, Georgia, pp 201–204Google Scholar
  17. 17.
    Christ A et al (2010) The Virtual Family—development of surface-based anatomical models of two adults, two children for dosimetric simulations. Phys Med Biol 55:N23–N38CrossRefPubMedGoogle Scholar
  18. 18.
    Raaymakers BW (2001) Thermal modelling for hyperthermia. Tekst, Proefschrift Universiteit Utrecht, p 66. ISBN:90-393-2848-XGoogle Scholar
  19. 19.
    Gandhi OP, Li QX, Kang G (2001) Temperature rise for the human head for cellular telephones and for peak SARs prescribed in safety guidelines. IEEE Trans Microwave Theory Tech 49:1607–1613CrossRefGoogle Scholar
  20. 20.
    Bernardi P, Cavagnaro M, Pisa S, Piuzzi E (2000) Specific absorption rate and temperature increases in the head of a cellular-phone user. IEEE Trans Microwave Theory Tech 48:1118–1126CrossRefGoogle Scholar
  21. 21.
    Flyckt V, Raaymakers B, Lagendijk J (2006) Modeling the impact of blood flow on the temperature distribution in the human eye and the orbit: fixed heat transfer coefficients versus the Pennes bioheat model versus discrete blood vessels. Phys Med Biol 51:5007–5021CrossRefPubMedGoogle Scholar

Copyright information

© Australasian College of Physical Scientists and Engineers in Medicine 2010

Authors and Affiliations

  • Mikheil Prishvin
    • 1
  • Revaz Zaridze
    • 1
  • Giorgi Bit-Babik
    • 2
  • Antonio Faraone
    • 2
  1. 1.Laboratory of Applied Electrodynamics and Radio PhysicsTbilisiUSA
  2. 2.Motorola IncPlantationUSA

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