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An adequate control of cell response in tissue engineering applications is ofutmost importance to obtain products suitable to clinical practice. This paperis the first part of a series of two connected publications in which we studyvia mathematical tools the cultivation in bioreactors of articularchondrocytes. The proposed model combines poroelastic theory of mixtures andcellular population models into a framework including stress state and oxygentension as main determinants of engineered culture evolution. The specialmechanosensitivity of articular chondrocytes to the surrounding environment isaccounted for in the model through the novel concept of "force isotropy" actingon the cell which is assumed as the promoting factor of the production of newcells or extracellular matrix.

A Poroelastic Mixture Model of Mechanobiological Processes in Tissue Engineering. Part I: Mathematical Formulation