title: Numerical modelling of conductive and convective heat transfers in retinal laser applications.
abstract: 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.
authors.affiliation: Centre de recherche Claude Delorme, Air Liquide, Medical Gases, 1 chemin de la porte des Loges, 78354 Jouy-en-Josas, France.
authors.forename: J
authors.initials: J
authors.lastname: Sandeau
authors.forename: J
authors.initials: J
authors.lastname: Kandulla
authors.forename: H
authors.initials: H
authors.lastname: Elsner
authors.forename: R
authors.initials: R
authors.lastname: Brinkmann
authors.forename: G
authors.initials: G
authors.lastname: Apiou-Sbirlea
authors.forename: R
authors.initials: R
authors.lastname: Birngruber