Presentation Title

Mathematical Model to Noninvasively Detect Dry-Eye Diseases

Faculty Mentor

Charles Lee

Start Date

18-11-2017 9:15 AM

End Date

18-11-2017 9:30 AM

Location

9-285

Session

Physical Sciences 2

Type of Presentation

Oral Talk

Subject Area

physical_mathematical_sciences

Abstract

Noninvasive interferometry is a diagnostic technique for dry-eye diseases. The process requires shining light on the eye while measuring its reflectance at multiple wavelengths. The tear film layers can then be extracted implicitly. In a 2013 patent, a mathematical model for the reflectance measurement was presented; however, it did not characterize well for all data sets because it did not consider the nonlinear scattered light at the corneal surface. In this work, two models that describe the eye reflectance are derived. The models take into account electromagnetic properties, angles of the light, and the tear thicknesses, which are to be solved. In contrast to the patent’s model, the scattered light terms of our models are of higher order, which results in higher accuracy. It should be noticed that the computer program described in the patent took up over ten pages of code and 45 minutes to produce the thicknesses. We have made effort in improving the computational program and our scheme runs within a few seconds, making it practical for clinical dry-eye disease diagnoses. Our future work will include comparing the models’ results to validated results to confirm the models’ performances.

Summary of research results to be presented

Two models to describe the reflectance of the eye in terms of tear thicknesses have been derived. These models take into consideration the rough surface of the eye by including mathematical parts that are of higher order. One of our models provided inconsistent results when implemented two different ways, but the other model, which has more degrees of freedom, led to more consistent results. Also, when comparing the models' predictions to the measured data, minimal errors were observed.

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Nov 18th, 9:15 AM Nov 18th, 9:30 AM

Mathematical Model to Noninvasively Detect Dry-Eye Diseases

9-285

Noninvasive interferometry is a diagnostic technique for dry-eye diseases. The process requires shining light on the eye while measuring its reflectance at multiple wavelengths. The tear film layers can then be extracted implicitly. In a 2013 patent, a mathematical model for the reflectance measurement was presented; however, it did not characterize well for all data sets because it did not consider the nonlinear scattered light at the corneal surface. In this work, two models that describe the eye reflectance are derived. The models take into account electromagnetic properties, angles of the light, and the tear thicknesses, which are to be solved. In contrast to the patent’s model, the scattered light terms of our models are of higher order, which results in higher accuracy. It should be noticed that the computer program described in the patent took up over ten pages of code and 45 minutes to produce the thicknesses. We have made effort in improving the computational program and our scheme runs within a few seconds, making it practical for clinical dry-eye disease diagnoses. Our future work will include comparing the models’ results to validated results to confirm the models’ performances.