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A Novel Multiscale Mathematical Model for Building Bone Substitute Materials for Children
Bone is an engineering marvel that achieves a unique combination of stiffness and toughness exceeding that of synthesized materials. In orthopedics, we are currently challenged for the child population that needs a less stiff but a tougher bone substitute than adults. Recent evidence suggests that t...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2018
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6025631/ https://www.ncbi.nlm.nih.gov/pubmed/29925773 http://dx.doi.org/10.3390/ma11061045 |
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author | Chekroun, Abdennasser Pujo-Menjouet, Laurent Berteau, Jean-Philippe |
author_facet | Chekroun, Abdennasser Pujo-Menjouet, Laurent Berteau, Jean-Philippe |
author_sort | Chekroun, Abdennasser |
collection | PubMed |
description | Bone is an engineering marvel that achieves a unique combination of stiffness and toughness exceeding that of synthesized materials. In orthopedics, we are currently challenged for the child population that needs a less stiff but a tougher bone substitute than adults. Recent evidence suggests that the relationship between inter-molecular connections that involve the two main bone building blocks, TropoCollagen molecules (TC) and carbonated Hydroxyapatite (cAp), and bone macroscopic mechanical properties, stiffness and toughness, are key to building bone substitute materials for children. The goal of our study is to establish how inter-molecular connections that occur during bone mineralization are related to macroscopic mechanical properties in child bones. Our aim is to link the biological alterations of the TC-cAp self assembly process happening during bone mineralization to the bone macroscopic mechanical properties’ alterations during aging. To do so, we have developed a multiscale mathematical model that includes collagen cross links (TC–TC interface) from experimental studies of bone samples to forecast bone macroscopic mechanical properties. Our results support that the Young’s modulus cannot be a linear parameter if we want to solve our system. In relation to bone substitute material with innovative properties for children, our results propose values of several biological parameters, such as the number of crystals and their size, and collagen crosslink maturity for the desired bone mechanical competence. Our novel mathematical model combines mineralization and macroscopic mechanical behavior of bone and is a step forward in building mechanically customized biomimetic bone grafts that would fit children’s orthopedic needs. |
format | Online Article Text |
id | pubmed-6025631 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-60256312018-07-09 A Novel Multiscale Mathematical Model for Building Bone Substitute Materials for Children Chekroun, Abdennasser Pujo-Menjouet, Laurent Berteau, Jean-Philippe Materials (Basel) Article Bone is an engineering marvel that achieves a unique combination of stiffness and toughness exceeding that of synthesized materials. In orthopedics, we are currently challenged for the child population that needs a less stiff but a tougher bone substitute than adults. Recent evidence suggests that the relationship between inter-molecular connections that involve the two main bone building blocks, TropoCollagen molecules (TC) and carbonated Hydroxyapatite (cAp), and bone macroscopic mechanical properties, stiffness and toughness, are key to building bone substitute materials for children. The goal of our study is to establish how inter-molecular connections that occur during bone mineralization are related to macroscopic mechanical properties in child bones. Our aim is to link the biological alterations of the TC-cAp self assembly process happening during bone mineralization to the bone macroscopic mechanical properties’ alterations during aging. To do so, we have developed a multiscale mathematical model that includes collagen cross links (TC–TC interface) from experimental studies of bone samples to forecast bone macroscopic mechanical properties. Our results support that the Young’s modulus cannot be a linear parameter if we want to solve our system. In relation to bone substitute material with innovative properties for children, our results propose values of several biological parameters, such as the number of crystals and their size, and collagen crosslink maturity for the desired bone mechanical competence. Our novel mathematical model combines mineralization and macroscopic mechanical behavior of bone and is a step forward in building mechanically customized biomimetic bone grafts that would fit children’s orthopedic needs. MDPI 2018-06-20 /pmc/articles/PMC6025631/ /pubmed/29925773 http://dx.doi.org/10.3390/ma11061045 Text en © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Chekroun, Abdennasser Pujo-Menjouet, Laurent Berteau, Jean-Philippe A Novel Multiscale Mathematical Model for Building Bone Substitute Materials for Children |
title | A Novel Multiscale Mathematical Model for Building Bone Substitute Materials for Children |
title_full | A Novel Multiscale Mathematical Model for Building Bone Substitute Materials for Children |
title_fullStr | A Novel Multiscale Mathematical Model for Building Bone Substitute Materials for Children |
title_full_unstemmed | A Novel Multiscale Mathematical Model for Building Bone Substitute Materials for Children |
title_short | A Novel Multiscale Mathematical Model for Building Bone Substitute Materials for Children |
title_sort | novel multiscale mathematical model for building bone substitute materials for children |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6025631/ https://www.ncbi.nlm.nih.gov/pubmed/29925773 http://dx.doi.org/10.3390/ma11061045 |
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