Numerical modelling of conductive and convective heat transfers in retinal laser applications

The control of the temperature increase is an important issue in retinal laser treatments. Within the fundus of the eye heat, generated by absorption of light, is transmitted by diffusion in the retinal pigment epithelium and in the choroid and lost by convection due to the choroidal blood flow. The temperature can be spatially and temporally determined by solving the heat equation. In a former analytical model this was achieved by assuming uniform convection for the whole fundus of the eye. A numerical method avoiding this unrealistic assumption by considering convective heat transfer only in the choroid is used here to solve the heat equation. Numerical results are compared with experimental results obtained by using a novel method of noninvasive optoacoustic retinal temperature measurements in rabbits. Assuming global convection the perfusion coefficient was evaluated to 0.07 s(-1), whereas a value of 0.32 s(-1)--much closer to values found in the literature (between 0.28 and 0.30 s(-1))--was obtained when choroidal convection was assumed, showing the advantage of the numerical method. The modelling of retinal laser treatment is thus improved and could be considered in the future to optimize treatments by calculating retinal temperature increases under various tissues and laser properties.

[1]  J. Fujimoto,et al.  Ultrahigh-resolution ophthalmic optical coherence tomography , 2001, Nature Medicine.

[2]  Reginald Birngruber,et al.  Influence of pulse duration and pulse number in selective RPE laser treatment , 2004, Lasers in surgery and medicine.

[3]  R. Birngruber,et al.  Noninvasive optoacoustic online retinal temperature determination during continuous-wave laser irradiation. , 2006, Journal of biomedical optics.

[4]  F Hillenkamp,et al.  Theoretical investigations of laser thermal retinal injury. , 1985, Health physics.

[5]  Ralf Brinkmann,et al.  Noninvasive optoacoustic temperature determination at the fundus of the eye during laser irradiation. , 2004, Journal of biomedical optics.

[6]  J H Tips,et al.  Retinal-temperature increases produced by intense light sources. , 1970, Journal of the Optical Society of America.

[7]  R. Birngruber,et al.  Über die Lichtabsorption am Augenhintergrund , 1975 .

[8]  P. Horton,et al.  The measurement of the choroidal blood flow in the rabbit using 85-krypton. , 1973, Experimental eye research.

[9]  E. Wissler An Analysis of Chorioretinal Thermal Response to Intense Light Exposure , 1976, IEEE Transactions on Biomedical Engineering.

[10]  Hawkins Laser Photocoagulation of Subfoveal Recurrent Neovascular Lesions in Age-Related Macular Degeneration: Results of a Randomized Clinical Trial , 1991 .

[11]  J. Duker,et al.  Transpupillary thermotherapy of occult subfoveal choroidal neovascularization in patients with age-related macular degeneration. , 1999, Ophthalmology.

[12]  E Reichel,et al.  Transpupillary thermotherapy for age-related macular degeneration: long-pulse photocoagulation, apoptosis, and heat shock proteins. , 2000, Ophthalmic surgery and lasers.

[13]  R. Obata,et al.  Transpupillary thermotherapy for treatment of exudative age-related macular degeneration in Japanese patients , 2004, Eye.

[14]  U. Schmidt-Erfurth,et al.  Photodynamic therapy in ocular vascular disease , 1996 .

[15]  S. Trokel,et al.  Quantitative studies of choroidal blood flow by reflective densitometry. , 1965, Investigative ophthalmology.

[16]  R. Birngruber,et al.  Optoacoustic temperature determination at the fundus of the eye during transpupillary thermotherapy , 2005 .

[17]  A. Bill Intraocular pressure and blood flow through the uvea. , 1962, Archives of ophthalmology.

[18]  Reginald Birngruber,et al.  Choroidal Circulation and Heat Convection at the Fundus of the Eye Implications for Laser Coagulation and the Stabilization of Retinal Temperature , 1991 .

[19]  R. Stephenson A and V , 1962, The British journal of ophthalmology.