Mathematical model of corneal surface smoothing after laser refractive surgery

摘要: Abstract Purpose To construct a quantitative model of corneal surface smoothing after laser ablation for refractive correction. Design Experimental study, interventional case series, and meta-analysis literature. Methods A theory epithelial in response to contour change is derived from differential equations that describe migration, growth, loss. Computer simulations calculate the effects on postoperative thickness, topography, refraction, spherical aberration. Model parameter matched with situ keratomileusis (LASIK) outcome literature retrospective study primary myopic (77 eyes) hyperopic (19 corrections. Surgically induced was main measure. Results Simulated remodeling produces central thickening, reduction achieved correction, induction oblate Simulation shows peripheral larger prolate using minus cylinder pattern decreased astigmatism correction increased shift. In LASIK linear regression vs setting corrections slopes 0.97, 0.71, 0.74, respectively. These clinical results match predictions when constant set at 0.32, 0.63, 0.55 mm, Conclusions Epithelial thickness modulations can be modeled mathematically explain clinically observed The cornea appears smooth over ablated features smaller than approximately 0.5 mm. provides an approach designing patterns precompensate improve final outcome.