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Analysis of Waveform Parameters in the Retinal Vasculature via Mathematical Modeling and Data Analytics Methods
Lorenzo Sala1, Kendall Lyons2, Giovanna Guidoboni3
1Université Paris-Saclay, INRAE, MaIAGE, 78350 Jouy-en-Josas, France.
Summary
Patient-specific mathematical modeling enhances retinal hemodynamics analysis. This approach uses personalized data and advanced methods to improve understanding of blood flow biomarkers and vascular function.
Area of Science:
- Ophthalmology
- Biomedical Engineering
- Medical Imaging
Background:
- Retinal hemodynamics analysis is crucial for understanding ocular health.
- Previous models lacked patient-specific personalization and integration of diverse clinical data.
- Developing accurate models requires combining mathematical approaches with data analytics.
Purpose of the Study:
- To develop and evaluate a patient-specific mathematical modeling approach for retinal hemodynamics.
- To integrate clinical measurements and physiological insights into an in silico framework.
- To assess the impact of methodological choices on clinically relevant blood flow biomarkers.
Main Methods:
- Utilized patient-specific input data including central retinal artery (CRA) velocity profile, systemic blood pressure, heart rate, and intraocular pressure.
- Combined automatic image processing techniques with mathematical modeling for data integration.
- Employed extensive validation and comparison with prior studies and introduced a novel Wasserstein distance metric for temporal analysis.
Main Results:
- Demonstrated the effectiveness of patient-specific input data in improving the accuracy of retinal blood flow modeling.
- Highlighted the significance of methodological considerations in data processing and model parameterization.
- Showcased the utility of the Wasserstein distance metric for monitoring dynamic changes in retinal vascular function.
Conclusions:
- Patient-specific mathematical modeling, coupled with automatic image processing, provides robust and clinically relevant insights into retinal vasculature.
- Personalized input data is essential for accurate hemodynamic analysis and biomarker identification.
- The developed framework offers a promising tool for advancing the understanding and monitoring of retinal vascular diseases.

