A mathematical model of a bone tissue described by dynamic equations of the effective poroelasticity and by the constitutive equations of anisotropic continuum is presented. An algorithm for theoretically evaluating the effective poroelastic constants required for the mathematical simulation of biological structures as poroelastic media is developed. The numerical analysis is done using the finite element method based on the «elastic skeleton displacement ? pore fluid pressure» and a finite element model of a human shank is introduced. Based on the forced vibration analysis carried out for the model of tibia, the pore fluid pressure distribution in compact and sponge tissues is investigated. It is demonstrated that the induced fluid flux in the bone pore system depends on the excitation frequency and can reach the essential magnitudes at resonant modes. The results obtained can be used as a theoretical basis for developing vibration methods of rehabilitation and control of the physiological condition of bone tissue for sportsmen, astronauts, elderly and injured persons.
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