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A model for bone mechanics and remodeling including cell populations dynamics

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Abstract

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.

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Authors and Affiliations

  1. University of Naples Federico II, Naples, Italy

    Alessio Ciro Rapisarda

  2. International Research Center for the Mathematics and Mechanics of complex Systems (M&MoCS), University of L’Aquila, L’Aquila, Italy

    Alessandro Della Corte & Fabio Di Cosmo

  3. Dipartimento di Ingegneria e Scienze dell’Informazione e Matematica, Università degli Studi dell’Aquila, Via Vetoio, Coppito, 67100, L’Aquila, Italy

    Rafał Drobnicki

  4. Dipartimento di Matematica e Applicazioni Renato Caccioppoli, University of Naples Federico II, Naples, Italy

    Luigi Rosa

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  1. Alessio Ciro Rapisarda
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  2. Alessandro Della Corte
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  3. Rafał Drobnicki
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  4. Fabio Di Cosmo
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  5. Luigi Rosa
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Correspondence to Fabio Di Cosmo.

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Rapisarda, A.C., Della Corte, A., Drobnicki, R. et al. A model for bone mechanics and remodeling including cell populations dynamics. Z. Angew. Math. Phys. 70, 9 (2019). https://doi.org/10.1007/s00033-018-1055-1

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