A boundary element model of the human eye undergoing laser thermokeratoplasty

Computers in Biology and Medicine

Volumn 38, Issue 6, 2008, Pages 727-737

  Ooi, Ean Hin ^a   Ang, Whye Teong ^a   Ng, Eddie Yin Kwee ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

Boundary element method; Continuous wave laser; Laser thermokeratoplasty; Pulsed laser; Temperature

Indexed keywords

BOUNDARY ELEMENT METHOD; CONTINUOUS WAVE LASERS; ENERGY ABSORPTION; LASER PULSES; PHYSIOLOGICAL MODELS; THREE DIMENSIONAL;

BEER-LAMBERT LAW; CORNEA; LASER THERMOKERATOPLASTY;

LASER SURGERY;

ARTICLE; BOUNDARY LAYER; DIFFUSION; EYE; HEAT TRANSFER; LASER THERMOKERATOPLASTY; LOW LEVEL LASER THERAPY; PRIORITY JOURNAL; TEMPERATURE;

COMPUTER SIMULATION; CORNEAL SURGERY, LASER; EYE; HUMANS; MODELS, ANATOMIC; OCULAR PHYSIOLOGY; TEMPERATURE;

EID: 44549084996     PISSN: 00104825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compbiomed.2008.04.003     Document Type: Article

References (35)

1. Laser thermokeratoplasty the ideal choice for presbyopes? Ophthalmology Times Europe, 2008 〈 http://www.oteurope.com/ophthalmologytimeseurope/Refractive/Laser-thermokeratoplasty-the-ideal-choice-for-pres/ArticleStandard/Article/detail/489477〉 (last accessed: 31st March 2008).
2. 2 laser irradiation. Appl. Opt. 8 2 (1969) 377-381
3. Mainster M.A. Ophthalmic applications of infrared lasers-thermal considerations. Invest. Ophthalmol. Visual Sci. 18 4 (1979) 414-420
4. 2 laser. Appl. Opt. 9 3 (1970) 665-667
5. Zhou Z., Ren Q., Simon G., and Parel J.M. Thermal modeling of laser photo thermal keratoplasty (LPTK). In: Parel J.M. (Ed). Ophthalmic Technologies II, Proceedings of the SPIE vol. 1644 (1992) 61-71
6. Brinkmann R., Koop N., Dröge G., Grotehusmann U., Huber A., and Birngruber R. Investigations on laser thermokeratoplasty. In: Melamed S.T. (Ed). Laser Applications in Ophthalmology, Proceedings of the SPIE vol. 2079 (1994) 120-130
7. Brinkmann R., Kampmeier J., Grotehusmann U., Vogel A., Koop N., Vogel M.A., and Birngruber R. Corneal collagen denaturation in laserthermokeratoplasty. In: Jacques S.L. (Ed). Laser-Tissue Interaction VII, Proceedings of the SPIE vol. 2681 (1996) 56-62
8. Brinkmann R., Koop N., Kamm K., Geerling G., Kampmeier J., and Birngruber R. Laser thermokeratoplasty by means of a continuously emitting laser diode in the mid-IR. In: Birngruber R., Fercher A.F., and Sourdille P. (Eds). Lasers in Ophthalmology IV, Proceedings of the SPIE vol. 2930 (1996) 66-74
9. Brinkmann R., Geerling G., Kampmeier J., Koop N., Radt B., and Birngruber R. Laser thermokeratoplasty: analysis of in vitro results and refractive changes achieved in a first clinical study. In: Altshuler G., Birngruber R., Fante M.D., Hibst R., Hoenigsmann H., Krasner N., and Laffitte F. (Eds). Medical Applications of Lasers in Dermatology, Ophthalmology, Dentistry, and Endoscopy, Proceedings of the SPIE vol. 3192 (1997) 180-186
10. Brinkmann R., Radt B., Flamm C., Kampmeier J., Koop N., and Birngruber R. Influence of temperature and time on thermally induced forces in corneal collagen and the effect on laser thermokeratoplasty. J. Cataract Refractive Surg. 26 5 (2000) 744-754
11. Manns F., Borja D., and Parel J.M. Calculation of corneal temperature and shrinkage during laser thermokeratoplasty (LTK). In: Manns F., Söderberg P.G., and Ho A. (Eds). Ophthalmic Technologies XII, Proceedings of the SPIE vol. 4611 (2002) 101-109
12. Manns F., Borja D., and Parel J.M. Semianalytical thermal model for subablative laser heating of homogeneous nonperfused biological tissue: application to laser thermokeratoplasty. J. Biomed. Opt. 8 2 (2003) 288-297
13. Podol'stev A.S., and Zheltov G.I. Photodestructive effect of IR laser radiation on the cornea. Geometrical Appl. Opt. 102 1 (2007) 142-146
14. Stringer H., and Parr J. Shrinkage temperature of eye collagen. Nature 204 4695 (1964) 1307
15. Spoerl E., Schmalfuss K., Genth U., Seiler T., and Huebscher H.J. Thermo-mechanical behaviour of the cornea. Investigative Ophthalmol. Visual Sci. 36 4 (1995) 39
16. Wirbelauer C., Geerling G., Koop N., Brinkmann R., Tüngler A., Birngruber R., and Laqua H. Acute endothelial cell changes after laser thermal keratoplasty with a cw-IR laser diode. Investigative Ophthalmol. Visual Sci. 38 4 (1997) 541
17. Ooi E.H., Ang W.T., and Ng E.Y.K. Bioheat transfer in the human eye: a boundary element approach. Eng. Anal. Boundary Elements 31 6 (2007) 494-500
18. Charles M.W., and Brown N. Dimensions of the human eye relevant to radiation protection. Phys. Med. Biol. 20 2 (1975) 202-218
19. Fontana S.T., and Brubaker R.F. Volume and DOF the anterior chamber of the normal aging human eye. Arch. Ophthalmol. 98 10 (1980) 1803-1808
20. U. Cicekli, Computational model for heat transfer in the human eye using the finite element method, M.Sc. Thesis, Department of Civil & Environmental Engineering, Louisiana State University, 2003.
21. Emery A.F., Kramar P.O., Guy A.W., and Lin J.C. Microwave induced temperature rises in rabbit eyes in cataract research. J. Heat Transfer 97 (1975) 123-128
22. Scott J.A. A finite element model of heat transport in the human eye. Phys. Med. Biol. 33 2 (1988) 227-242
23. Neelakantaswamy P.S., and Ramakrishnan K.P. Microwave-induced hazardous nonlinear thermoelastic vibrations of the ocular lens in the human eye. J. Biomechanics 12 3 (1979) 205-210
24. Lagendijk J.J.W. A mathematical model to calculate temperature distributions in human and rabbit eyes during hyperthermic treatment. Phys. Med. Biol. 27 11 (1982) 1301-1311
25. Sliney D., and Wolbarsht M. Safety With Lasers and Other Optical Sources: A Comprehensive Handbook (1980), Plenum Press, New York
26. Ng E.Y.K., and Ooi E.H. FEM simulation of the eye structure with bioheat analysis. Comput. Methods Programs Biomed. 82 3 (2006) 268-276
27. Abramowitz M., and Stegun I. Handbook of Mathematical Functions (1972), Dover, New York
28. Brebbia C.A., Telles J.C.F., and Wrobel L.C. Boundary Element Techniques: Theory and Applications in Engineering (1984), Springer, Berlin, Heidelberg
29. MATLAB 6.5 〈http://www.mathworks.com/products/matlab〉 (last accessed: 31st March 2008).
30. Kaufman P.L., and Alm A. Adler's Physiology of the Eye: Clinical Application. 10th ed. (2003), Mosby, St. Louis, MO
31. Papaioannou T., Maguen E., and Grundfest W.S. Spatiotemporal temperature profiling of corneal surface during LTK. In: Manns F., Söderberg P.G., and Ho A. (Eds). Ophthalmic Technologies XII, Proceedings of the SPIE vol. 4611 (2002) 110-114
32. Heys J.J., and Barocas V.H. A Boussinesq model of natural convection in the human eye and the formation of Krukenberg's Spindle. Ann. Biomed. Eng. 30 3 (2002) 392-401
33. Jean B., Bende T., Oltrup T., Matallana M., and Walker R. Depth adjusted thermal keratoplasty using a cw diode laser and a new focusing handpiece. In: Parel J.M., Joos K.M., and Rol P.O. (Eds). Ophthalmic Technologies VI, Proceedings of the SPIE vol. 2673 (1996) 61-67
34. Brebbia C.A., and Nardini D. Dynamic analysis in solid mechanics by an alternative boundary element procedure. Eng. Anal. Boundary Elements 24 7 (2000) 228-233
35. Wang K., Mattheij R.M.M., and ter Morsche H.G. Alternative DRM formulations. Eng. Anal. Boundary Elements 27 2 (2003) 175-181