Mathematical modelingCalculus of VariationsBone regenerationRegularity of minimizersPhase-field approximationGradient flows
Research Disciplines
AnalysisMathematical modelling
Project Summary
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.
Research Outputs (7)
publications (7)
Title
Year(s)
DOI / Link
The viscoelastic paradox in a nonlinear Kelvin–Voigt type model of dynamic fractureJournal of Evolution Equations