Mathematische Modellierung der Knochenregenation
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Research Disciplines
The project aims at introducing and validating a new model describing bone engineering (BE) after traumas, osteoporosis, or tumors. Such a model appears to be the first capable of simultaneously taking into consideration both the bulk and the surface mechanisms underlying the bone regeneration, which is indeed crucial in order to characterize bone morphologies and to study their mechanical properties especially when polymeric scaffold are employed to enhance the bone growth. The approach consists in transferring techniques developed for the SDRI model in the context of Materials Science and to justify the model for the BE setting by p hase-field approximations. The new model represents a tool to ultimately improve surgical procedures by, e.g., easing the production of bone scaffolds, and the research risks seem to be manageable by introducing proper specific model modifications.
| Title | Year(s) | DOI / Link |
|---|---|---|
| The viscoelastic paradox in a nonlinear Kelvin-Voigt type model of dynamic fracture.Journal of evolution equations | 2024 | 10.1007/s00028-024-00989-0 |
| Variational modeling of multilayer films with coherent and incoherent interlayer interfaces |
No additional funding sources recorded.
Research Fields
| 2025 |
| 10.1007/s00161-025-01361-4 |
| Existence of minimizers for the SDRI model in R n : Wetting and dewetting regimes with mismatch strainNonlinear Analysis | 2026 | 10.1016/j.na.2026.114061 |
| Existence of minimizers for the SDRI model in 2d: Wetting and dewetting regime with mismatch strainAdvances in Calculus of Variations | 2024 | 10.1515/acv-2022-0053 |
| Solutions for a free-boundary problem modeling multilayer films with coherent and incoherent interfaces | 2024 | 10.48550/arxiv.2401.14866 |