A simulation model for the degradation of magnesium-based bone implants

Gartzke, Ann-Kathrin; Julmi, Stefan; Klose, Christian; Waselau, Anja‐Christina; Meyer‐Lindenberg, Andrea; Maier, Hans Jürgen; Besdo, Silke; Wriggers, Peter

doi:10.1016/j.jmbbm.2019.103411

Cited by 24 publications

(17 citation statements)

References 27 publications

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“…Such in vivo trials can provide a qualitative comparison using CT or X-ray imaging to compare with models under development. Gartzke et al [43] used in vivo µCT images for porous structures implanted in the femura of rabbits to compare qualitatively with their numerical model as shown in Figure 21.…”

Section: Discussionmentioning

confidence: 99%

“…2020, 3 FOR PEER REVIEW 25 implanted in the femura of rabbits to compare qualitatively with their numerical model as shown in Figure 21. weeks, and to the right the CT image of the implant after 6 weeks of implantation [43].…”

Section: Discussionmentioning

confidence: 99%

“…Equation ( 16) is referred to in literature as Fick's law and was used by Grogan et al [37], Scheiner et al [42], Gartzke et al [43], and Bajger et al [36] while the latter added the effect of the corrosion product formation and degeneration to the equation. This equation is based on three main parameters that control the transport process [42].…”

Section: Transport-controlled Modelingmentioning

confidence: 99%

“…Figure 21.On the left is the numerical results showing magnesium concentration distribution after 8 weeks, and to the right the CT image of the implant after 6 weeks of implantation[43].…”

mentioning

confidence: 99%

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Corrosion Modeling of Magnesium and Its Alloys for Biomedical Applications: Review

Abdalla

Joplin

Elahinia

et al. 2020

CMD

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Biodegradable metals have been under significant research as promising alternatives to the currently in-use nonbiodegradable materials in the field of supportive medical implants. In this scope, magnesium and its alloys were widely investigated due to their superior biocompatibility over other metals. Most of the research effort in the literature has been focused on assuring the biocompatibility, improving mechanical properties, and tailoring the corrosion rate of magnesium-based implants. Furthermore, considerable research was done to develop numerical models towards an inexpensive and fast designing tools capable of simulating the degradation/corrosion behavior of magnesium-based implants. Due to the complexity of the degradation process and the various factors that can be involved, several hypotheses were introduced to provide a realistic simulation of the corrosion behavior in vitro and in vivo. A review of the current literature hypothesis and different modeling constitutive equations for modeling the corrosion of magnesium alloys along with a summary of the supplementary experimental methods is provided in this paper.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Transport-controlled Modelingmentioning

confidence: 99%

“…Figure 21.On the left is the numerical results showing magnesium concentration distribution after 8 weeks, and to the right the CT image of the implant after 6 weeks of implantation[43].…”

mentioning

confidence: 99%

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Corrosion Modeling of Magnesium and Its Alloys for Biomedical Applications: Review

Abdalla

Joplin

Elahinia

et al. 2020

CMD

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“…Таким образом, примененный подход позволяет оценить степень накопления в среде инкубации продуктов деструкции сплава посредством регистрации разницы сигнала ΔI, зафиксированного в лунке с образцом, в сравнении с лункой, заполненной только средой (контроль). Расчет производили по формуле, приведенной в инструкции производителя: Следующий этап наших исследований был посвящен оценке газообразования, сопровождающего процесс биодеструкции магниевых сплавов выделением водорода [19][20][21]. C этой целью Т-образные образцы сплавов инкубировали в лунках 24-луночного планшета с питательной средой при соблюдении условий, аналогичных изложенным выше.…”

Section: материалы и методыunclassified

The Effect of Multiaxial Deformation on the Dynamics of Biodegradation and Cell Colonization of Alloy We43

Martynenko

Анисимова

Новрузов

et al. 2021

Rossijskij bioterapevtičeskij žurnal

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Introduction. The development of materials for bioresorbable implants is an urgent issue in medicine and materials science. Magnesium alloys are promising materials for this purpose. In particular, alloy WE43 (Mg-Y-Nd-Zr) has proven itself well in this field. However, the use of magnesium alloys is limited by a high degradation rate, which is often accompanied with nonuniform corrosion, which negatively affects the load bearing capacity of the product. In addition, the increased degradation rate usually seriously worsens the biocompatibility of magnesium alloys. Therefore, the study of the corrosion resistance of magnesium alloys, as well astheir biocompatibility, is an urgent task.Purpose of the study was to investigate the effect of multiaxial deformation (MAD), aimed at increasing the mechanical characteristics of the alloy WE43, on its biodegradation kinetics, as well as on cell colonization.Materials and methods. The alloy WE43 in two states – homogenized (WE43 hom) and strengthened by MAD (WE43 MAD) was investigated in this work. The kinetics of biodegradation was investigated on an xCELLigence RTCA Systems analyzer. A method for estimating the volume of hydrogen was used to study the process of gas formation, which was recorded using an automated digital microscope LionheartTM FX. The corrosive medium was a solution based on Dulbecco’s Modified Eagle’s Medium. A culture of mesenchymal multipotent stromal cells was used to study the colonization of the alloy surface by cells.Results. MAD of the alloy WE43 leads to a decrease in the biodegradation rate and the intensity of gas formation. The period of stabilization of biodegradation for the alloy after the MAD is 16 hours versus 3 hours for the alloy after homogenization. In this case, the volume of released hydrogen was 65.0 ± 4.4 mm3H2/mm3 alloy and 211.0 ± ± 21.1 mm3H2/mm3 alloy for the alloy after MAD and homogenization, respectively. MAD improves the biocompatibility of the alloy WE43, stimulating the colonization of mesenchymal multipotent stromal cells.Conclusion. MAD reduces biodegradation and improves the biocompatibility of the alloy WE43, which makes it a promising medical material, including for the purposes of oncoorthopedics

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Multi-adaptive spatial discretization of bond-based peridynamics

Ongaro¹,

Shojaei²,

Mossaiby³

et al. 2023

Int J Fract

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Peridynamic (PD) models are commonly implemented by exploiting a particle-based method referred to as standard scheme. Compared to numerical methods based on classical theories (e.g., the finite element method), PD models using the meshfree standard scheme are typically computationally more expensive mainly for two reasons. First, the nonlocal nature of PD requires advanced quadrature schemes. Second, non-uniform discretizations of the standard scheme are inaccurate and thus typically avoided. Hence, very fine uniform discretizations are applied in the whole domain even in cases where a fine resolution is per se required only in a small part of it (e.g., close to discontinuities and interfaces). In the present study, a new framework is devised to enhance the computational performance of PD models substantially. It applies the standard scheme only to localized regions where discontinuities and interfaces emerge, and a less demanding quadrature scheme to the rest of the domain. Moreover, it uses a multi-grid approach with a fine grid spacing only in critical regions. Because these regions are identified dynamically over time, our framework is referred to as multi-adaptive. The performance of the proposed approach is examined by means of two real-world problems, the Kalthoff–Winkler experiment and the bio-degradation of a magnesium-based bone implant screw. It is demonstrated that our novel framework can vastly reduce the computational cost (for given accuracy requirements) compared to a simple application of the standard scheme.

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A simulation model for the degradation of magnesium-based bone implants

Cited by 24 publications

References 27 publications

Corrosion Modeling of Magnesium and Its Alloys for Biomedical Applications: Review

Corrosion Modeling of Magnesium and Its Alloys for Biomedical Applications: Review

The Effect of Multiaxial Deformation on the Dynamics of Biodegradation and Cell Colonization of Alloy We43

Multi-adaptive spatial discretization of bond-based peridynamics

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