Computational modelling of bone growth and mineralization surrounding biodegradable Mg-based and permanent Ti implants

In silico testing of implant materials is a research area of high interest, as cost- and labour-intensive experiments may be omitted. However, assessing the tissue-material interaction mathematically and computationally can be very complex, in particular when functional, such as biodegradable, impla...

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Main Authors: Nik Pohl, Domenik Priebe, Tamadur AlBaraghtheh, Sven Schimek, D.C. Florian Wieland, Diana Krüger, Sascha Trostorff, Regine Willumeit-Römer, Ralf Köhl, Berit Zeller-Plumhoff
Format: Article
Language:English
Published: Elsevier 2025-01-01
Series:Computational and Structural Biotechnology Journal
Online Access:http://www.sciencedirect.com/science/article/pii/S2001037025000571
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author Nik Pohl
Domenik Priebe
Tamadur AlBaraghtheh
Sven Schimek
D.C. Florian Wieland
Diana Krüger
Sascha Trostorff
Regine Willumeit-Römer
Ralf Köhl
Berit Zeller-Plumhoff
author_facet Nik Pohl
Domenik Priebe
Tamadur AlBaraghtheh
Sven Schimek
D.C. Florian Wieland
Diana Krüger
Sascha Trostorff
Regine Willumeit-Römer
Ralf Köhl
Berit Zeller-Plumhoff
author_sort Nik Pohl
collection DOAJ
description In silico testing of implant materials is a research area of high interest, as cost- and labour-intensive experiments may be omitted. However, assessing the tissue-material interaction mathematically and computationally can be very complex, in particular when functional, such as biodegradable, implant materials are investigated. In this work, we expand and refine suitable existing mathematical models of bone growth and magnesium-based implant degradation based on ordinary differential equations. We show that we can simulate the implant degradation, as well as the osseointegration in terms of relative bone volume fraction and changes in bone ultrastructure when applying the model to experimental data from titanium and magnesium-gadolinium implants for healing times up to 32 weeks. An additional sensitivity analysis highlights important parameters and their interactions. Moreover, we show that the model is predictive in terms of relative bone volume fraction with mean absolute errors below 6%.
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series Computational and Structural Biotechnology Journal
spelling doaj-art-da41b0e87e884cc4b8ed99205575dbab2025-08-20T01:52:11ZengElsevierComputational and Structural Biotechnology Journal2001-03702025-01-01271394140610.1016/j.csbj.2025.02.027Computational modelling of bone growth and mineralization surrounding biodegradable Mg-based and permanent Ti implantsNik Pohl0Domenik Priebe1Tamadur AlBaraghtheh2Sven Schimek3D.C. Florian Wieland4Diana Krüger5Sascha Trostorff6Regine Willumeit-Römer7Ralf Köhl8Berit Zeller-Plumhoff9Institute of Metallic Biomaterials, Helmholtz-Zentrum Hereon, GermanyInstitute of Metallic Biomaterials, Helmholtz-Zentrum Hereon, GermanyInstitute of Metallic Biomaterials, Helmholtz-Zentrum Hereon, Germany; Institute of Surface Science, Helmholtz-Zentrum Hereon, GermanyInstitute of Metallic Biomaterials, Helmholtz-Zentrum Hereon, GermanyInstitute of Metallic Biomaterials, Helmholtz-Zentrum Hereon, GermanyInstitute of Metallic Biomaterials, Helmholtz-Zentrum Hereon, GermanyDepartment of Mathematics, Faculty of Mathematics and Natural Sciences, Kiel University, GermanyInstitute of Metallic Biomaterials, Helmholtz-Zentrum Hereon, Germany; Kiel, Nano, Surface, and Interface Science - KiNSIS, Kiel University, GermanyDepartment of Mathematics, Faculty of Mathematics and Natural Sciences, Kiel University, Germany; Kiel, Nano, Surface, and Interface Science - KiNSIS, Kiel University, GermanyInstitute of Metallic Biomaterials, Helmholtz-Zentrum Hereon, Germany; Kiel, Nano, Surface, and Interface Science - KiNSIS, Kiel University, Germany; Data-driven Analysis and Design of Materials, Faculty of Mechanical Engineering and Marine Technologies, University of Rostock, Germany; Department Life, Light & Matter, University of Rostock, Germany; Corresponding author at: Data-driven Analysis and Design of Materials, Faculty of Mechanical Engineering and Marine Technologies, University of Rostock, Germany.In silico testing of implant materials is a research area of high interest, as cost- and labour-intensive experiments may be omitted. However, assessing the tissue-material interaction mathematically and computationally can be very complex, in particular when functional, such as biodegradable, implant materials are investigated. In this work, we expand and refine suitable existing mathematical models of bone growth and magnesium-based implant degradation based on ordinary differential equations. We show that we can simulate the implant degradation, as well as the osseointegration in terms of relative bone volume fraction and changes in bone ultrastructure when applying the model to experimental data from titanium and magnesium-gadolinium implants for healing times up to 32 weeks. An additional sensitivity analysis highlights important parameters and their interactions. Moreover, we show that the model is predictive in terms of relative bone volume fraction with mean absolute errors below 6%.http://www.sciencedirect.com/science/article/pii/S2001037025000571
spellingShingle Nik Pohl
Domenik Priebe
Tamadur AlBaraghtheh
Sven Schimek
D.C. Florian Wieland
Diana Krüger
Sascha Trostorff
Regine Willumeit-Römer
Ralf Köhl
Berit Zeller-Plumhoff
Computational modelling of bone growth and mineralization surrounding biodegradable Mg-based and permanent Ti implants
Computational and Structural Biotechnology Journal
title Computational modelling of bone growth and mineralization surrounding biodegradable Mg-based and permanent Ti implants
title_full Computational modelling of bone growth and mineralization surrounding biodegradable Mg-based and permanent Ti implants
title_fullStr Computational modelling of bone growth and mineralization surrounding biodegradable Mg-based and permanent Ti implants
title_full_unstemmed Computational modelling of bone growth and mineralization surrounding biodegradable Mg-based and permanent Ti implants
title_short Computational modelling of bone growth and mineralization surrounding biodegradable Mg-based and permanent Ti implants
title_sort computational modelling of bone growth and mineralization surrounding biodegradable mg based and permanent ti implants
url http://www.sciencedirect.com/science/article/pii/S2001037025000571
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