Abstract
This chapter discusses the development of computational degradation models for different bioresorbable composite materials. The models were developed in a two-stage process. Firstly, a general modelling framework was generated and analysed and secondly, this general framework was particularised for specific ceramic fillers yielding the degradation models.
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Notes
- 1.
In this work, acid dissociation constants are always expressed in terms of concentrations instead of in terms of activity and therefore \(K_\text {a}\) has concentration units [4], usually reported as mol/ L which can be easily converted to mol m\(^{-3}\).
- 2.
In this work, dimensionless units are expressed with the symbol “1” and usually displayed between parentheses: (1).
- 3.
The definition and mathematical expression of the solubility product \(K_\text {sp}\) is given in Appendix A.2.
- 4.
Information about the definition and description of the average degree of pseudo-polymerisation, \(N_\text {dp0}\), can be found in Appendix A.4.
- 5.
Information about the definition and calculation of the ceramic solubility product can be found in Appendix A.2.
- 6.
Information about the definition and calculation of the ceramic calcium equilibrium concentration can also be found in AppendixA.2.
- 7.
- 8.
The description and mathematical derivation of the Sauter mean diameter, \(d_{32}\), can be found in Appendix A.5.
(Da DaReferences
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Moreno-Gomez, I. (2019). Degradation of Bioresorbable Composites: The Models. In: A Phenomenological Mathematical Modelling Framework for the Degradation of Bioresorbable Composites. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-030-04990-4_3
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