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On numerical modelling of growth, differentiation and damage in structural living tissues

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The main purpose of this work is to present a continuum formulation to model growth, differentiation and damage, valid for both hard and soft tissues. The governing equations follow the classical theory of multiphasic continuous media, including the influence of extracellular matrix composition and cell populations. Finally, this general framework is simplified and particularized to numerically simulate two important biological processes, such as, bone remodelling and bone fracture healing. These two simplified formulations have been implemented into a finite element context that allowed us to predict the evolution of the main aspects involved in such biological processes as growth, cell proliferation, migration, differentiation or death, and tissue pattern formation.

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  1. Group of Structural Mechanics and Materials Modelling Aragón Institute of Engineering Research (I3A), University of Zaragoza (Spain), Campus Rio Ebro, Edif. Agustín de Betancourt C/Maria de Luna, s/n, 50018, Zaragoza, Spain

    M. Doblaré & J. M. García-Aznar

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  1. M. Doblaré
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Doblaré, M., García-Aznar, J.M. On numerical modelling of growth, differentiation and damage in structural living tissues. Arch Computat Methods Eng 13, 471 (2006). https://doi.org/10.1007/BF02905856

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