We present a macroscopic model of the fluid diffusion in deformable porous media, motivated by diffusion-deformation phenomena influencing the heart muscle blood perfusion, or the mechanical properties of kidneys. The problems are described by the displacement field and by several fluid pressure...

We present a parameter identification procedure developed for a composite model of arterial wall which is characterized by collagen viscoelastic fibres embedded in hyperelastic incompressible matrix. The structure undergoes large deformation described using the total Lagrangian formulation. In...

A technique suitable for the modelling of large deforming biological tissues with a nearly periodic microstructure is presented in this work. The proposed approach takes into account the heterogeneous material constitution and geometrical arrangement of the tissues at the microstructural level....