Analysis of a model for the propagation of the ossification front

DOI10.1016/j.cam.2015.10.032zbMath1357.65174OpenAlexW2105330154MaRDI QIDQ507940

M. Masid, José R. Fernández

Publication date: 9 February 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2015.10.032

zbMATH Keywords

convergencefinite elementsa priori estimatesnumerical simulationsEuler schemeossification frontosteogenic cellsparabolic nonlinear partial differential equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Cell biology (92C37) Computational methods for problems pertaining to biology (92-08)

Cites Work

• Unnamed Item
• Unnamed Item
• Bone ingrowth on the surface of endosseous implants. I: Mathematical model
• Bone ingrowth on the surface of endosseous implants. II: Theoretical and numerical analysis
• Équations et inéquations non linéaires dans les espaces vectoriels en dualité
• A CLASS OF EVOLUTIONARY VARIATIONAL INEQUALITIES WITH APPLICATIONS IN VISCOELASTICITY

This page was built for publication: Analysis of a model for the propagation of the ossification front