Mathematical model for assessing the functional state of human eye parameters
DOI:
https://doi.org/10.31498/2225-6733.49.1.2024.321178Keywords:
human eye, mathematical model, integral indicator, nonlinearity, optimization, adaptation, monitoring, predictionAbstract
Mathematical models of the human eye's condition should serve as adaptive tools for analyzing and predicting ophthalmological parameters, considering their interactions and individual patient characteristics. Such models are in high demand in ophthalmology because they improve the diagnosis, monitoring, and treatment of diseases, thereby enhancing patients' quality of life. The key aspects of the developed mathematical model of the human eye's condition include its structure and functionality, based on a mathematical function that integrates the eye's physiological parameters, with each parameter assigned a weight coefficient that determines its contribution to the integral indicator of the eye's condition. The model accounts for complex nonlinear interactions between parameters, reflecting the intricacies of physiological processes. To optimize weight coefficients, the L-BFGS-B method is employed, an iterative optimization technique that effectively minimizes the loss function, ensuring high accuracy and adaptation of the model to individual patient data. The advantages and applications of this model include accurate diagnosis by enabling the early detection of diseases such as glaucoma, cataracts, and macular degeneration; personalized treatment through a tailored approach that considers the unique parameter values of each patient; monitoring and prediction capabilities for analyzing disease progression and facilitating treatment adjustments in early stages; and integration with technologies, offering potential applications in virtual and augmented reality systems and artificial intelligence frameworks for automating diagnostics. The developed model serves as a universal tool for analyzing the eye's condition and creating new diagnostic and treatment technologies. It considers the interrelations between parameters and their influence on the physiological state of the eye, providing professionals with a powerful instrument for advancing ophthalmological practice
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