Methods of Finite Differences in the Domain of Time Applied to the Equation of Heat Biotransfer in Ocular Tissues

Authors

  • Samuel Ferreira de Souza Federal University of Rondônia
  • Carlos Alberto Tenório de Carvalho Júnior Federal University of Rondônia
  • Ciro José Egoavil Montero Federal University of Rondônia https://orcid.org/0000-0001-7546-6727
  • Viviane Barrozo da Silva a:1:{s:5:"en_US";s:32:"Federal University of Rondônia,";}
  • Antonio Carlos Duarte Ricciotti Federal University of Rondônia
  • Petrus Luiz de Luna Pequeno Federal University of Rondônia
  • Daniela de Araújo Sampaio Federal University of Rondônia
  • Jorge Luis Nepomuceno de Lima Federal University of Rondônia

DOI:

https://doi.org/10.31686/ijier.vol10.iss5.3764

Keywords:

finite differences, heat biotransfer, thermal damage

Abstract

This article presents a methodology for two-dimensional modeling of the human eye to analyze the heat transfer in biological tissues, in this case, ocular tissues. The technique used was the finite differences method in the time domain. With a proposal for a numerical simulation of the problem, see that this type of work aims to promote the development of tools that help detect errors in biomedical engineering. Several medical procedures, including surgical ones that use laser, whose main limiting factor is the increase in temperature in living tissue, a fact that can cause irreversible damage, even evaporating. For example, refractive eye surgery using a laser. The simulation is intended to calculate the temperature gradient to guide the physician more precisely before an intervention. An example of this is certain types of inoperable tumors that can be irradiated with laser sources. Their function is to cause a rise in local temperature to destroy cancer cells without thermal damage to the healthy region.

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Author Biographies

  • Samuel Ferreira de Souza, Federal University of Rondônia

    Department of Electrical Engineering

  • Carlos Alberto Tenório de Carvalho Júnior, Federal University of Rondônia

    Professor, Department of Electrical Engineering.

  • Ciro José Egoavil Montero, Federal University of Rondônia

    Professor, Department of Electrical Engineering.

  • Antonio Carlos Duarte Ricciotti, Federal University of Rondônia

    Professor, Department of Electrical Engineering. 

  • Petrus Luiz de Luna Pequeno, Federal University of Rondônia

     

    Professor, Department of Civil Engineering.

  • Daniela de Araújo Sampaio, Federal University of Rondônia

    Professor, Department of Electrical Engineering.

  • Jorge Luis Nepomuceno de Lima, Federal University of Rondônia

     

    Professor, Department of Electrical Engineering.

References

Mirnezami SA, Rajaei Jafarabadi M, Abrishami M. Temperature distribution simulation of the human eye exposed to laser radiation. J Lasers Med Sci 2013; 4(4):175-81.

Henriques FC, Moritz AR. Studies of thermal injury, I. Conduction of heat to and through the skin and the temperature attained therein. A theoretical and an experimental investigation. American Journal of Pathology. 1947; 23:531-49.

Diller KP. Modeling of bioheat transfer processes at high and low temperatures. In: Cho YI, editor. Advances in Heat Transfer. Boston: Academic Press Inc; 1992. p.157-357. DOI: https://doi.org/10.1016/S0065-2717(08)70345-9

Amara, E.H., “Numerical investigations on thermal effects of laser-ocular media interaction”, Int. J. Heat Mass Transfer, vol. 38 (13), pp. 2479-2488, 1995. DOI: https://doi.org/10.1016/0017-9310(94)00353-W

Gokul K. C., Dil Bahadur Gurung, Pushpa Raj Adhikary, “FEM Approach for Transient Heat Transfer in Human Eye”, Applied Mathematics Vol.4 No.10B(2013).

Guimarães, C.S.C., “Computer Modeling of Biotransfer of Heat in the Treatment by Hyperthermia of Duodenum Tumors using the Finite Volume Method in Unstructured Meshes”, Recife, 2003. 80p. (Master's Thesis – Department of Mechanical Engineering/Federal University of Pernambuco).

Incropera, Frank P.. Fundamentals of Heat Transfer, 7th. John Wiley and Sons, Hoboken - NJ, 1976

Rol P, Fankhauser F, Giger H, Dürr U, Kwasniewska S. Transpupillar laser phototherapy for retinal and choroidal tumors: a rational approach. Graefe's Archive for Clinical and Experimental Ophthalmology. 2000; 238:249-72. http://dx.doi.org/10.1007/s004170050352. DOI: https://doi.org/10.1007/s004170050352

Chapra, Steven C.. Numerical Methods for Engineering, Mc Graw Hill –Bookman, 2013.Charny, C. K., “Mathematical models of bioheat transfer”. In: CHO, Y. I., ed. Advances in Heat Transfer: Bioengineering Heat Transfer, Academic Press, Inc.vol. 22, pp. 19–155,1992. DOI: https://doi.org/10.1016/S0065-2717(08)70344-7

Silva, GMLL da, “Analysis of bioheat transfer in ocular tissues due to the presence of retinal implants using the finite volume method in unstructured meshes”, (Master's Dissertation – Department of Mechanical Engineering/Federal University of Pernambuco), 2004.

Carnahan, B. H. et al. Applied numerical methods. Nova York: Wiley, 1969.

Chato, J. C., “Selected thermophysical properties of biological materials”, In: SHITZER, A. & EBERHART, R.C., Heat Transfer in Medicine and Biology – Analysis and Applications, Nova York, Plenum Press, Apêndice 2, vol. 2, pp.413-418, 1985.

Scott, J.A. “A finite element model of heat transport in the human eye”, Phys. Med. Biol, vol. 33 (2), pp.227-241, 1988. DOI: https://doi.org/10.1088/0031-9155/33/2/003

Ambrósio Jr R. The femtosecond laser revolution in Ophthalmology. Rev. Bras Ophthalmol. 2011;70(4):207-10.

https://www.todoestudo.com.br/biologia/olhos

https://www.quora.com/What-are-the-different-parts-of-the-human-eye-and-their-function

Wissler EH. Pennes' 1948 paper revisited. J Appl Physiol (1985). 1998 Jul;85(1):35-41. doi: 10.1152/jappl.1998.85.1.35. PMID: 9655751. DOI: https://doi.org/10.1152/jappl.1998.85.1.35

Published

2022-05-01

How to Cite

Souza, S. F. de, Carvalho Júnior, C. A. T. de, Montero, C. J. E., Barrozo da Silva, V., Ricciotti, A. C. D., Pequeno, P. L. de L., Sampaio, D. de A., & Lima, J. L. N. de. (2022). Methods of Finite Differences in the Domain of Time Applied to the Equation of Heat Biotransfer in Ocular Tissues. International Journal for Innovation Education and Research, 10(5), 190-212. https://doi.org/10.31686/ijier.vol10.iss5.3764
Received 2022-04-11
Accepted 2022-04-20
Published 2022-05-01

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