МАТЕМАТИЧЕСКОЕ ОБОСНОВАНИЕ НОВОЙ МОДЕЛИ ПОЛИМЕРНЫХ РОГОВИЧНЫХ СЕГМЕНТОВ ДЛЯ ИНТРАСТРОМАЛЬНОЙ КЕРАТОПЛАСТИКИ

[摘要] Purpose . To develop a new model of intrastromal corneal ring segment (ICSR) for the treatment of corneal ectasia of various genesis, based on mathematical modeling of the efficacy in the ICSR implantation and taking into consideration anatomical and topographic features of the cornea. Material and methods . Geometric patterns typical for the optical centered systems were used to calculate the corneal ICRS parameters taking into account factors affecting the changes in optical parameters of the cornea (the geometric parameters of the ICRS). The calculation of the optical effect of the ICSR implantation with settings parameters was carried out on the basis of the Barraquer geometric ratio formula. Various models of corneal segments were investigated in aspect of their influence on the curvature of anterior and posterior surfaces of cornea. Results . On the basis of the carried-out mathematical calculations the main tendencies in the determination of necessary geometric parameters of corneal segments were allocated, that will ensure an optimum distribution of biomechanical stresses in the cornea leading to an increase of the efficiency of the ICRS implantation and to a reduction of the likelihood of postoper ative complications. Conclusion . The disadvantages of pre-existing ICRS models and peculiarities of the structure of the corneal stroma were taken into account in the mathematical modeling of the new ICRS model that can be used in the intrastromal keratoplasty. New optimal geometric parameters of the ICRS design were mathematically calculated to provide an improvement of the functional characteristics of these implants and a refractive effect of ICRS implantation.

[学科分类] 眼科学

[关键词] mathematical modeling;corneal segment;cornea;keratectasia;математическое моделирование;роговичный сегмент;роговица;кератэктазия