The mechanically driven biological stimulus in bone tissues regulates and controls the action of special cells called osteoblasts and osteoclasts. Diﬀerent models have been proposed to describe the important and not yet completely understood phenomena related to this ‘feedback’ process. In Lekszycki and dell’Isola (2012) an integro-diﬀerential system of equations has been studied to describe the remodeling process in reconstructed bones where the biological stimulus in a given instant t depends on the deformation state of the tissue at the same instant. Instead biological knowledge suggests that the biological stimulus, once produced, is ‘diﬀused’ in bone tissue to reach the target cells. In this paper, we propose a model for describing biological stimulus diﬀusion in remodeling tissues in which diﬀusive time dependent phenomena are taken into account. Some preliminary numerical simulations are presented which suggest that this model is promising and deserves further investigations.
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