Visibility of capillaries in turbid tissues: an analytical approach

TL;DR

This paper presents an analytical model for understanding how capillaries and subsurface defects can be visualized in turbid tissues, aiding the design of better imaging systems for clinical applications.

Contribution

It introduces a novel perturbation-based analytical approach for modeling subsurface defect visibility in turbid tissues, including explicit formulas for point and linear defects.

Findings

Derived explicit analytical expressions for defect contrast.

Extended the model to linear inhomogeneities.

Provided a framework for quick system optimization.

Abstract

Purpose: Visualization and monitoring of capillary loops in dermis and mucosa are interesting for various clinical applications, including rheumatology, early cancer, and shock detection. However, the limitations of existing imaging technologies are not well understood. Therefore, this study aimed to elucidate peculiarities of the subsurface defect visualization in realistic skin imaging geometries. Methods: We used a perturbation approach for the light propagation in turbid tissues with mismatched boundaries. Defects were considered as negative light sources immersed in homogeneous media, which was described using diffuse approximation. The contrast ratio was used as an image quality metric. Results: We have developed the single point subsurface defect model and extended it to horizontally- and vertically-arranged linear inhomogeneities. In particular, we have obtained explicit analytical expressions for the single point defect and the infinite linear defect buried at a certain depth (horizontally-arranged), which allows direct experimental verification. Conclusions: The developed approach can be used for quick rough estimates while designing and optimizing imaging systems.