Percolation networks inside 3D model of the mineralized collagen fibril
Abstract Bone is a hierarchical biological material, characterized at the nanoscale by a recurring structure mainly composed of apatite mineral and collagen, i.e. the mineralized collagen fibril (MCF). Although the architecture of the MCF was extensively investigated by experimental and computationa...
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2021
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oai:doaj.org-article:439f4caba15741e5b513a3b8f3ef9d2d2021-12-02T17:51:13ZPercolation networks inside 3D model of the mineralized collagen fibril10.1038/s41598-021-90916-x2045-2322https://doaj.org/article/439f4caba15741e5b513a3b8f3ef9d2d2021-05-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-90916-xhttps://doaj.org/toc/2045-2322Abstract Bone is a hierarchical biological material, characterized at the nanoscale by a recurring structure mainly composed of apatite mineral and collagen, i.e. the mineralized collagen fibril (MCF). Although the architecture of the MCF was extensively investigated by experimental and computational studies, it still represents a topic of debate. In this work, we developed a 3D continuum model of the mineral phase in the framework of percolation theory, that describes the transition from isolated to spanning cluster of connected platelets. Using Monte Carlo technique, we computed overall 120 × 106 iterations and investigated the formation of spanning networks of apatite minerals. We computed the percolation probability for different mineral volume fractions characteristic of human bone tissue. The findings highlight that the percolation threshold occurs at lower volume fractions for spanning clusters in the width direction with respect to the critical mineral volume fractions that characterize the percolation transition in the thickness and length directions. The formation of spanning clusters of minerals represents a condition of instability for the MCF, as it could be the onset of a high susceptibility to fracture. The 3D computational model developed in this study provides new, complementary insights to the experimental investigations concerning human MCF.Fabiano BiniAndrada PicaAndrea MarinozziFranco MarinozziNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-13 (2021) |
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Medicine R Science Q Fabiano Bini Andrada Pica Andrea Marinozzi Franco Marinozzi Percolation networks inside 3D model of the mineralized collagen fibril |
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Abstract Bone is a hierarchical biological material, characterized at the nanoscale by a recurring structure mainly composed of apatite mineral and collagen, i.e. the mineralized collagen fibril (MCF). Although the architecture of the MCF was extensively investigated by experimental and computational studies, it still represents a topic of debate. In this work, we developed a 3D continuum model of the mineral phase in the framework of percolation theory, that describes the transition from isolated to spanning cluster of connected platelets. Using Monte Carlo technique, we computed overall 120 × 106 iterations and investigated the formation of spanning networks of apatite minerals. We computed the percolation probability for different mineral volume fractions characteristic of human bone tissue. The findings highlight that the percolation threshold occurs at lower volume fractions for spanning clusters in the width direction with respect to the critical mineral volume fractions that characterize the percolation transition in the thickness and length directions. The formation of spanning clusters of minerals represents a condition of instability for the MCF, as it could be the onset of a high susceptibility to fracture. The 3D computational model developed in this study provides new, complementary insights to the experimental investigations concerning human MCF. |
format |
article |
author |
Fabiano Bini Andrada Pica Andrea Marinozzi Franco Marinozzi |
author_facet |
Fabiano Bini Andrada Pica Andrea Marinozzi Franco Marinozzi |
author_sort |
Fabiano Bini |
title |
Percolation networks inside 3D model of the mineralized collagen fibril |
title_short |
Percolation networks inside 3D model of the mineralized collagen fibril |
title_full |
Percolation networks inside 3D model of the mineralized collagen fibril |
title_fullStr |
Percolation networks inside 3D model of the mineralized collagen fibril |
title_full_unstemmed |
Percolation networks inside 3D model of the mineralized collagen fibril |
title_sort |
percolation networks inside 3d model of the mineralized collagen fibril |
publisher |
Nature Portfolio |
publishDate |
2021 |
url |
https://doaj.org/article/439f4caba15741e5b513a3b8f3ef9d2d |
work_keys_str_mv |
AT fabianobini percolationnetworksinside3dmodelofthemineralizedcollagenfibril AT andradapica percolationnetworksinside3dmodelofthemineralizedcollagenfibril AT andreamarinozzi percolationnetworksinside3dmodelofthemineralizedcollagenfibril AT francomarinozzi percolationnetworksinside3dmodelofthemineralizedcollagenfibril |
_version_ |
1718379282115330048 |