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Modeling Scenario

1-030-EyeModel-ModelingScenario

Author(s): Brian Winkel

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

Keywords: retinal surgery Akaike Information Criterion Spanish sum of square errors surgery retiona ophthalmology eye intraocular gas bubble

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Abstract

Resource Image We offer a mathematical modeling experience using differential equations to model the volume of an intraocular gas bubble used by ophthalmologists to aid the healing of a surgically repaired region of the retina.

Citation

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Article Context

Resource Type
Differential Equation Type
Qualitative Analysis
Application Area
Lesson Length
Technology
Approach
Skills
Pedagogical Approaches
Vision and Change Core Competencies - Ability
Bloom's Cognitive Level

Description

We ask students to compare the traditional ``empirical'' model used by the ophthalmological profession with more ``analytic'' models built on first principles and modeled with differential equations by examining the model predictions, after model parameters are estimated, using real patient data.

Finally, we introduce a new way of comparing models, the Akaike Information Criterion, and apply it to our models.

Article Files

Authors

Author(s): Brian Winkel

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

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