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Parameter Estimation for Evaporation-Driven Tear Film Thinning.
- Source :
-
Bulletin of mathematical biology [Bull Math Biol] 2020 Jun 06; Vol. 82 (6), pp. 71. Date of Electronic Publication: 2020 Jun 06. - Publication Year :
- 2020
-
Abstract
- Many parameters affect tear film thickness and fluorescent intensity distributions over time; exact values or ranges for some are not well known. We conduct parameter estimation by fitting to fluorescent intensity data recorded from normal subjects' tear films. The fitting is done with thin film fluid dynamics models that are nonlinear partial differential equation models for the thickness, osmolarity and fluorescein concentration of the tear film for circular (spot) or linear (streak) tear film breakup. The corresponding fluorescent intensity is computed from the tear film thickness and fluorescein concentration. The least squares error between computed and experimental fluorescent intensity determines the parameters. The results vary across subjects and trials. The optimal values for variables that cannot be measured in vivo within tear film breakup often fall within accepted experimental ranges for related tear film dynamics; however, some instances suggest that a wider range of parameter values may be acceptable.
- Subjects :
- Computational Biology
Computer Simulation
Dry Eye Syndromes diagnostic imaging
Dry Eye Syndromes physiopathology
Fluorescein
Fluorescent Dyes
Fluorophotometry methods
Fluorophotometry statistics & numerical data
Humans
Hydrodynamics
Least-Squares Analysis
Mathematical Concepts
Nonlinear Dynamics
Osmolar Concentration
Tears chemistry
Tears diagnostic imaging
Models, Biological
Tears physiology
Subjects
Details
- Language :
- English
- ISSN :
- 1522-9602
- Volume :
- 82
- Issue :
- 6
- Database :
- MEDLINE
- Journal :
- Bulletin of mathematical biology
- Publication Type :
- Academic Journal
- Accession number :
- 32506271
- Full Text :
- https://doi.org/10.1007/s11538-020-00745-8