Multiscale models of compact bone

DOI10.1142/S1793524516500479zbMath1339.35333MaRDI QIDQ2799342

Jun-Feng Li, Shu-gang Li

Publication date: 8 April 2016

Published in: International Journal of Biomathematics (Search for Journal in Brave)

zbMATH Keywords

multiscalePoisson-Boltzmann equationLaplace-Beltrami equationcompact bonelacuna-canalicular system

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Navier-Stokes equations for incompressible viscous fluids (76D05) Flows in porous media; filtration; seepage (76S05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) PDEs of mixed type (35M10) General biology and biomathematics (92B05) Boltzmann equations (35Q20) Electrochemistry (78A57)

Cites Work

• Modelling of the transport in electrically charged porous media including ionic exchanges
• Differential geometry based solvation model. I: Eulerian formulation
• Multiscale molecular dynamics using the matched interface and boundary method
• Elaboration of assumptions for the fluid problem at microscopic scale in SiNuPrOs, mathematical model of cortical bone
• Geometric and potential driving formation and evolution of biomolecular surfaces
• Variational homogenization for modeling fibrillar structures in bone
• Multiscale prediction of crack density and crack length accumulation in trabecular bone based on neural networks and finite element simulation

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