Abstract
The importance of mechanical modeling has been increasing in recent years for almost every area of biological sciences. The process of bone recovery is one of the issues to be addressed within a mechanical framework. In this study, a model for the bone healing process is proposed taking into account the bone cell population as well as the effect of energy dissipation. Numerical simulations for bone under a cyclic external loading are performed in order to show predicting capabilities of the model.
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Acknowledgements
We thank Dr. Ivan Giorgio for his hints and advise in this research. We are also grateful to Dr. Alessandro Della Corte for his comments on an earlier version of the manuscript.
We would like to thank the “International Research Center for the Mathematics and Mechanics of Complex Systems” (M&MoCS), Universit‘a dell’Aquila, Italy, for all the support, and also Prof. Mahmoud Kadkhodaei, Mechanical Engineering Department of Isfahan University of Technology, Iran.
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Darvishi, M., Dadras, H., Mahmoodi Gahrouei, M., Tabesh, K., Timofeev, D. (2021). A Mathematical Model for Bone Cell Population Dynamics of Fracture Healing Considering the Effect of Energy Dissipation. In: Marmo, F., Sessa, S., Barchiesi, E., Spagnuolo, M. (eds) Mathematical Applications in Continuum and Structural Mechanics. Advanced Structured Materials, vol 127. Springer, Cham. https://doi.org/10.1007/978-3-030-42707-8_3
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