Advertisement

Heat Transfer in Biological Tissues

  • M. E. Bravo
  • P. De Jesús Sánchez
  • R. O. Vargas AguilarEmail author
  • A. E. Chávez
Conference paper
Part of the Environmental Science and Engineering book series (ESE)

Abstract

The heat transfer process in biological tissues is studied through the Pennes bioheat equation, in dimensionless form, taking into account the temperature gradient delay by the Maxwell-Cattaneo model. Stochastic perturbations from the environment applied on the surface of the tissue and different external energy sources are considered. Comparison of temperature distributions with constant biological parameters are presented, from the skin surface and through the tissue transfer processes and to contribute to a better understanding on how nature works, it is essential to include biological, physical and biochemical.

Keywords

Blood Perfusion Biot Number Heat Transfer Process Energy Transfer Process Steady State Temperature 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

This project was supported by the research grants SIP-IPN 20141466.

References

  1. Chandrasekharaiah DS (1998) Hyperbolic thermoelasticity: a review of recent literature. Appl Mech Rev 51:705–729CrossRefGoogle Scholar
  2. Deng Z-S, Liu J (2002) Analytical study on bioheat transfer problems with spatial or transient heating on skin surface or inside biological bodies. J Biomech Eng 124:638–649CrossRefGoogle Scholar
  3. Deng Z, Liu J (2004) Mathematical modelling of temperature over skin surface and its implementation in thermal disease diagnostics. Comput Biol Med 34:495–521CrossRefGoogle Scholar
  4. Fiala D, Lomas KJ, Stohrer M (1999) A computer model of the human thermoregulation for the wide range of environmental conditions: the passive system. J Appl Physiol 87:1957–1972Google Scholar
  5. Jordan PM, Dai W, Mickens RE (2008) A note on the delayed heat equation: instability with respect to initial data. Mech Res Commun 35:414–420CrossRefGoogle Scholar
  6. Joseph DD, Preziosi L (1989) Heat waves. Rev Mod Phys 61:41–73CrossRefGoogle Scholar
  7. Joseph DD, Preziosi L (1990) Adendum to the paper heat waves. Rev Mod Phys 21:375–391CrossRefGoogle Scholar
  8. Ostoja-Starzewski M (2007) A derivation of the Maxwell-Cattaneo equation from the free energy and dissipation potentials. Int J Eng Sci 47:807–810CrossRefGoogle Scholar
  9. Pennes HH (1948) Analysis of tissue and arterial blood temperature in the resting human forearm. J Appl Physiol 1:93–122Google Scholar
  10. Ripley B (1987) Stochastic simulation. Wiley, New YorkCrossRefGoogle Scholar
  11. Torvi DA, Dale JD (1994) A finite element model of skin subjected to a flash fire. ASME 116:250–255CrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • M. E. Bravo
    • 1
  • P. De Jesús Sánchez
    • 2
  • R. O. Vargas Aguilar
    • 2
    Email author
  • A. E. Chávez
    • 1
  1. 1.Departamento de Ingeniería Química, Facultad de QuímicaUniversidad Nacional Autónoma de México (UNAM)MéxicoMexico
  2. 2.ESIME Azcapotzalco, Instituto Politécnico NacionalMéxicoMexico

Personalised recommendations