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    Modeling the optical properties of biological structures using symbolic regression

    Julian Sierra-Velez, Alexandre Vial, and Demetrio Macías*

    Marina Inchaussandague and Diana Skigin

    • *Contact author: demetrio.macias@utt.fr

    Phys. Rev. E 112, 034404 – Published 3 September, 2025

    DOI: https://doi.org/10.1103/w8jn-qs2z

    Abstract

    We present a machine learning approach based on symbolic regression to derive, from either numerically generated or experimentally measured spectral data, closed-form expressions that model the optical properties of biological materials. To evaluate the performance of our approach, we consider three case studies with the aim of retrieving the refractive index of the materials that constitute the biological structures considered. The results obtained show that, in addition to retrieving readable and dimensionally homogeneous dispersion models, the expressions found have a physical meaning and their algebraic form is similar to that of the models often used to characterize the dispersive behavior of transparent dielectrics in the visible region.

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