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Local fractal dimension of collagen detects increased spatial complexity in fibrosis
Journal article   Open access   Peer reviewed

Local fractal dimension of collagen detects increased spatial complexity in fibrosis

Dylan T Casey, Karolyn G Lahue, Vitor Mori, Jacob Herrmann, Joseph K Hall, Béla Suki, Yvonne M W Janssen-Heininger and Jason H T Bates
Histochemistry and cell biology, Vol.161(1), pp.29-42
01/2024
DOI: 10.1007/s00418-023-02248-8
PMCID: PMC10794291
PMID: 37938346
url
https://doi.org/10.1007/s00418-023-02248-8View
Published (Version of record) Open Access

Abstract

Increase of collagen content and reorganization characterizes fibrosis but quantifying the latter remains challenging. Spatially complex structures are often analyzed via the fractal dimension; however, established methods for calculating this quantity either provide a single dimension for an entire object or a spatially distributed dimension that only considers binary images. These neglect valuable information related to collagen density in images of fibrotic tissue. We sought to develop a fractal analysis that can be applied to 3-dimensional (3D) images of fibrotic tissue. A fractal dimension map for each image was calculated by determining a single fractal dimension for a small area surrounding each image pixel, using fiber thickness as the third dimension. We found that this local fractal dimension increased with age and with progression of fibrosis regardless of collagen content. Our new method of distributed 3D fractal analysis can thus distinguish between changes in collagen content and organization induced by fibrosis.

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