# A novel computational model for human macular pigment optical density and its relationship to foveal structure

## TL;DR

This paper introduces a new computational model that better captures macular pigment distribution and its connection to foveal structure.

## Contribution

A novel three-Gaussian model (M3G) is proposed for more accurate and biologically relevant analysis of macular pigment optical density.

## Key findings

- M3G outperformed the existing MEG model with significantly lower sum of squared errors (SSE).
- M3G-derived parameters correlated with structural OCT/OCTA measurements like foveal avascular zone and pit radii.
- The three-component structure of M3G aligns with the spatial distribution of macular xanthophylls.

## Abstract

Macular pigment optical density (MPOD) models enhance understanding of macular xanthophyll distribution, particularly relevant to age-related macular degeneration. This study investigates an existing model and introduces a novel, more accurate and biologically relevant approach. MPOD spatial profiles of 48 eyes were obtained using dual-wavelength autofluorescence imaging, with structural data from OCT and OCT-angiography. MPOD data were analyzed using (a) an existing sum of exponential and Gaussian model (MEG) and (b) a novel sum of three Gaussians model (M3G). Extracted parameters generated individualized MPOD models, from which gradients and volumes were derived. M3G-derived variables were analyzed against OCT/OCTA data using factor analysis and multiple regression. M3G demonstrated a superior fit to MPOD data (SSE = 2.60 × 10− 3) compared to MEG, (SSE = 35.7 × 10− 3) enabling automated fitting consistent over small and large datasets. M3G provided meaningful variables, including MPOD gradients, volumes and critical point eccentricities. Correlations included those between dependent variables of critical point eccentricities and central macular pigment volume with foveal avascular zone and foveal pit radii.

The excellent data fit of M3G enables automated extraction of physiologically relevant parameters. Its three-component configuration is consistent with the location of macular xanthophylls. M3G is similar to models of foveal structure, suggesting a fundamental relationship.

The online version contains supplementary material available at 10.1038/s41598-025-21681-4.