Computational modelling of bone growth and mineralization surrounding biodegradable Mg-based and permanent Ti implants
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| Main Authors: | , , , , , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866909511197917184 |
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| author | Pohl, Nik Priebe, Domenik AlBaraghtheh, Tamadur Schimek, Sven Wieland, D. C. Florian Krüger, Diana Trostorff, Sascha Willumeit-Römer, Regine Köhl, Ralf Zeller-Plumhoff, Berit |
| author_facet | Pohl, Nik Priebe, Domenik AlBaraghtheh, Tamadur Schimek, Sven Wieland, D. C. Florian Krüger, Diana Trostorff, Sascha Willumeit-Römer, Regine Köhl, Ralf Zeller-Plumhoff, Berit |
| contents | 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%. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_03820 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Computational modelling of bone growth and mineralization surrounding biodegradable Mg-based and permanent Ti implants Pohl, Nik Priebe, Domenik AlBaraghtheh, Tamadur Schimek, Sven Wieland, D. C. Florian Krüger, Diana Trostorff, Sascha Willumeit-Römer, Regine Köhl, Ralf Zeller-Plumhoff, Berit Quantitative Methods Tissues and Organs 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%. |
| title | Computational modelling of bone growth and mineralization surrounding biodegradable Mg-based and permanent Ti implants |
| topic | Quantitative Methods Tissues and Organs |
| url | https://arxiv.org/abs/2408.03820 |