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FE approach with Green’s function as internal trial function for simulating bioheat transfer in the human eye

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Języki publikacji
EN
Abstrakty
EN
Simulation of bioheat transfer in a human eye model is performed, using a newly developed Green’s-function-based finite element formulation, named HFS-FEM. Nonlinear radiation conditions are first treated by introducing an effective convection coefficient, and then two independent temperature fields are assumed within the element and along its boundary, respectively. Subsequently, a hybrid variational functional including the convection effect is constructed to guarantee the inter-element field continuity and to establish a linkage between the two independent fields. By virtue of the use of Green’s functions as trial functions, the resulting nonlinear system contains only the element boundary integrals and is solved with an iteration technique. The results obtained are compared with those from ABAQUS and a good agreement is observed. Subsequently, the effect of control parameters is investigated to determine the temperature variation in the eye model; the results show that the proposed hybrid computational method is an effective tool for investigating the thermal performance of the human eye.
Rocznik
Strony
493--510
Opis fizyczny
Bibliogr. 21 poz.
Twórcy
autor
autor
  • Institute of Scientific and Engineering Computation Henan University of Technology Zhengzhou, China, 450052, qinghua.qin@anu.edu.au
Bibliografia
  • 1. J.A. Scott, A finite element model of heat transport in the human eye, Phys. Med. Biol.,33, 227–242, 1988.
  • 2. E.Y.K. Ng, E.H. Ooi, FEM simulation of the eye structure with bioheat analysis, Comput. Methods Programs Biomed., 82, 268–276, 2006.
  • 3. E.H. Ooi, E.Y.K. Ng, Simulation of aqueous humor hydrodynamics in human eye heat transfer, Comput. Biol. Med., 38, 252–262, 2008.
  • 4. R. Brinkmann, N. Koop, G. Droege, U. Grotehusmann, A. Huber, R. Birngruber, Investigations on laser thermokeratoplasty, [in:] Proceedings of the SPIE, Vol. 2079, pp. 120–130, Budapest, Hungary, 1994.
  • 5. A. Narasimhan, K.K. Jha, L. Gopal, Transient simulations of heat transfer in human eye undergoing laser surgery, Int. J. Heat Mass Transfer, 53, 482–490, 2010.
  • 6. K.J. Chua, J.C. Ho, S.K. Chou, M.R. Islam, On the study of the temperature distribution within a human eye subjected to a laser source, Int. Commun. Heat Mass Transfer, 32, 1057–1065, 2005.
  • 7. M.A. Mainster, T.J. White, J.H. Tips, Corneal thermal response to the CO2 laser, Appl. Opt., 9, 665–667, 1990.
  • 8. E.H. Ooi, W.T. Ang, E.Y.K. Ng, Bioheat transfer in the human eye: A Bondary element approach, Eng. Anal. Bound. Elem., 31, 494–500, 2007.
  • 9. E.H. Ooi, W.T. Ang, E.Y.K. Ng, A boundary element model of the human eye undergoing laser thermokeratoplasty, Comput. Biol. Med., 38, 727–737, 2008.
  • 10. E.H. Ooi, W.T. Ang, E.Y.K. Ng, A boundary element model for investigating the effects of eye tumor on the temperature distribution inside the human eye, Comput. Biol. Med., 39, 667–677, 2009.
  • 11. A. Peratta, 3D low frequency electromagnetic modelling of the human eye with Bondary elements: Application to conductive keratoplasty, Eng. Anal. Bound. Elem., 32, 726–735, 2008.
  • 12. Q.H. Qin, The Trefftz finite and boundary element method, WITpress, Southampton 2000.
  • 13. Q.H. Qin, H. Wang, Matlab and C programming for Trefftz finite element methods, CRC Press, New York 2008.
  • 14. H. Wang, Q.H. Qin, Hybrid FEM with fundamental solutions as trial functions for heat conduction simulation, Acta Mech. Solida Sin., 22, 487–498, 2009.
  • 15. H. Wang, L.L. Cao, Q.H. Qin, Hybrid Graded Element Model for Nonlinear Functionallly Graded Materials, Mech. Adv. Mater Struc., accepted for publication.
  • 16. H. Wang, Q.H. Qin, Fundamental-solution-based finite element model for plane orthotropic elastic bodies, Eur. J. Mech. A-Solid, 29, 801–809, 2010.
  • 17. H. Wang, Q.H. Qin, Y.L. Kang, A new meshless method for steady-state heat conduction problems in anisotropic and inhomogeneous media, Arch. Appl. Mech., 74, 563–579,2005.
  • 18. H. Wang, Q.H. Qin, A meshless method for generalized linear or nonlinear Poisson-type problems, Eng. Anal. Bound. Elem., 30, 515–521, 2006.
  • 19. H. Wang, Q.H. Qin, Y.L. Kang, A meshless model for transient heat conduction In functionally graded materials, Comput. Mech., 38, 51–60, 2006.
  • 20. H.H. Pennes, Analysis of tissue and arterial blood temperatures in the resting human forearm, J. Appl. Physiol., 1, 93–102, 1948.
  • 21. V.M.M. Flyckt, B.W. Raaymakers, J.J.W. Lagendijk, Modelling 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, 5007–5021, 2006.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT4-0010-0008
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