Optimal bone density distributions: Numerical analysis of the osteocyte spatial influence in bone remodeling

Quantifying the osteocyte network in the human skeleton

“…Continuing work to identify whether the extent of the network varies across species, including extinct species, may also provide insights into how this network complexity has evolved [68][69][70][71]. Finally, as mathematical models of the biomechanical regulation of the skeleton become more comprehensive [49,[72][73][74][75][76][77][78][79][80][81], valid quantifications of the osteocyte network from the cellular to the whole organ scale will allow realistic predictions of this complex dynamic system and its emergent behaviours [82,83]. High-resolution 3D imaging of bone is improving, thus revealing new understandings of the function of the osteocyte network.…”

“Fast” and “slow” pressure waves electrically induced by nonlinear coupling in Biot-type porous medium saturated by a nematic liquid crystal

“…Due to the high porosity, the Biot model should probably be modified, see e.g. [50][51][52][53][54][55][56][57][58], by adding a correction term which takes into account the microstructural effect [48,[59][60][61][62][63][64]. Strain gradient models (see e.g.…”

A poroplastic model of structural reorganisation in porous media of biomechanical interest

“…They have also been used for modelling the trabecular architecture of bones [7], and for evaluating the bone density distribution [8]. Another problem connected with bone remodelling, which concerns the interaction of bone with resorbable biomaterial, has been addressed in [9][10][11].…”