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A Multiscale Theoretical Investigation of Electric Measurements in Living Bone

Piezoelectricity and Electrokinetics

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Abstract

This paper presents a theoretical investigation of the multiphysical phenomena that govern cortical bone behaviour. Taking into account the piezoelectricity of the collagen–apatite matrix and the electrokinetics governing the interstitial fluid movement, we adopt a multiscale approach to derive a coupled poroelastic model of cortical tissue. Following how the phenomena propagate from the microscale to the tissue scale, we are able to determine the nature of macroscopically observed electric phenomena in bone.

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Authors and Affiliations

  1. Université Paris-Est, Laboratoire Modélisation et Simulation Multi Echelle, MSME UMR 8208 CNRS (Biomeca), 61 Avenue du Général de Gaulle, 94010, Créteil, France

    T. Lemaire, J. Kaiser, S. Naili & V. Sansalone

  2. Université Paris-Est, Laboratoire Modélisation et Simulation Multi Echelle, MSME UMR 8208 CNRS (Méca), 5 Boulevard Descartes, 77455, Marne-La-Vallée, France

    E. Capiez-Lernout

  3. Department of Mechanics, Faculty of Applied Sciences & New Technologies Research Centre, University of West Bohemia, Univerzitní 22, 306 14, Plzen, Czech Republic

    E. Rohan

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  1. T. Lemaire
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  2. E. Capiez-Lernout
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  3. J. Kaiser
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  4. S. Naili
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  5. E. Rohan
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  6. V. Sansalone
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Correspondence to T. Lemaire.

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Lemaire, T., Capiez-Lernout, E., Kaiser, J. et al. A Multiscale Theoretical Investigation of Electric Measurements in Living Bone. Bull Math Biol 73, 2649–2677 (2011). https://doi.org/10.1007/s11538-011-9641-9

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  • DOI: https://doi.org/10.1007/s11538-011-9641-9

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