Magnetic Therapy for Eye conditions
Jiayi Lin
Co-Presenters: Individual Presentation
College: The Dorothy and George Hennings College of Science, Mathematics and Technology
Major: Mathematical Sciences
Faculty Research Mentor: Yousef Nejatbakhsh
Abstract:
Magnetic therapy, a non-invasive technique using static or low-frequency magnetic fields, has drawn increasing interest for treating ophthalmic conditions such as dry eye syndrome, cataracts, and corneal trauma. This study investigates the therapeutic potential of magnetic stimulation by combining differential equation modeling with survival analysis to evaluate treatment effectiveness and explore optimal therapy parameters.Using a system of ordinary differential equations (ODEs), we modeled the interactions between healing cell growth and inflammation under magnetic field influence. Simulated patient data were generated with varying initial biological conditions and magnetic field intensities (B), followed by treatment outcome assessment through Kaplan-Meier and Cox proportional hazards analyses.Results show that most patients reach recovery within 30 days. While Cox regression did not yield statistically significant predictors (p > 0.05), both magnetic field intensity and initial inflammation levels showed potential influence on healing time. A parameter sweep identified B = 1.10 as the optimal intensity, minimizing average healing time. Correlation heatmaps further confirmed weak but consistent associations between magnetic therapy parameters and recovery rates.This study highlights the potential of simulation-driven modeling in optimizing non-invasive eye treatments. Although preliminary, our findings suggest that tailored magnetic stimulation protocols may accelerate healing outcomes. Future directions include validating the model with clinical data, incorporating additional treatment variables (e.g., frequency, duration), and applying machine learning for personalized therapy optimization.