A model for bone mechanics and remodeling including cell populations dynamics

  • Alessio Ciro Rapisarda
  • Alessandro Della Corte
  • Rafał Drobnicki
  • Fabio Di CosmoEmail author
  • Luigi Rosa


In this paper, we propose a model for the description of bone mechanics and bone remodeling processes, including bone cell populations dynamics. The latter, described by a system of ODEs, influences the values for the elastic parameters used in the mechanical model, which in turn determines the “stimulus” function affecting the behavior of the cells. Numerical simulations concerning the behavior of the bone under external loads, as well as simple fracture healing processes are presented. The model can reproduce the qualitative behavior of bone tissue remodeling and mechanical response.


Bone tissue Bone remodeling Cell populations dynamics Numerical simulations of bone mechanics 

Mathematics Subject Classification

74F99 74B99 



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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.University of Naples Federico IINaplesItaly
  2. 2.International Research Center for the Mathematics and Mechanics of complex Systems (M&MoCS)University of L’AquilaL’AquilaItaly
  3. 3.Dipartimento di Ingegneria e Scienze dell’Informazione e MatematicaUniversità degli Studi dell’AquilaL’AquilaItaly
  4. 4.Dipartimento di Matematica e Applicazioni Renato CaccioppoliUniversity of Naples Federico IINaplesItaly

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