کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4628561 1631831 2013 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Bessel function model of corneal topography
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Bessel function model of corneal topography
چکیده انگلیسی

In this paper we propose a new nonlinear mathematical model of corneal topography. This model is stated as a two-point boundary value problem. We derive the governing equation from the first physical principles and provide a mathematical analysis concerning its solution. The existence and uniqueness theorems are proved and various estimates are shown. At the end, we fit the simplified model based on a modified Bessel function of the First Kind with the corneal data. The fitting error is of order of 1%1%, which is sufficiently accurate for this type of data and biomedical applications.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 223, 15 October 2013, Pages 436–443
نویسندگان
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