New description of gradual substitution of graft by bone tissue including biomechanical and structural effects, nutrients supply and consumption
type: Item
instance of: scholarly article
title: New description of gradual substitution of graft by bone tissue including biomechanical and structural effects, nutrients supply and consumption
zbMATH Open document ID: 1396.74081
author: Yanfei Lu
author: Tomasz Lekszycki
published in: Continuum Mechanics and Thermodynamics
publication date: 2018-10-02T00:00:00Z
Mathematics Subject Classification ID: 74L15
Mathematics Subject Classification ID: 92D10
zbMATH DE Number: 6946057
zbMATH Keywords: bone regeneration
zbMATH Keywords: bioresorbable and biodegradable material
zbMATH Keywords: microstructure
zbMATH Keywords: nutrients supply
zbMATH Keywords: numerical simulation
MaRDI profile type: Publication
full work available at URL: s00161-018-0650-x
OpenAlex ID: W2794844031
cites work: On generalized Cosserat-type theories of plates and shells: a short review and bibliography
cites work: Modeling of the interaction between bone tissue and resorbable biomaterial as linear elastic materials with voids
cites work: Nonequilibrium fluctuations in particle systems modelling reaction- diffusion equations
cites work: Osteocytes as a record of bone formation dynamics: a mathematical model of osteocyte generation in bone matrix
cites work: The influence of different geometries of matrix/scaffold on the remodeling process of a bone and bioresorbable material mixture with voids
cites work: The influence of different loads on the remodeling process of a bone and bioresorbable material mixture with voids
cites work: Modeling of a non-local stimulus for bone remodeling process under cyclic load: Application to a dental implant using a bioresorbable porous material
cites work: Correlation inequalities for the Potts model
cites work: A mixture model with evolving mass densities for describing synthesis and resorption phenomena in bones reconstructed with bio-resorbable materials
cites work: A novel coupled system of non-local integro-differential equations modelling Young's modulus evolution, nutrients' supply and consumption during bone fracture healing
cites work: Potts models in the continuum. Uniqueness and exponential decay in the restricted ensembles
cites work: Q5477389
cites work: Mechanically-driven bone remodeling simulation: Application to LIPUS treated rat calvarial defects
cites work: Electromechanics of polarized lipid bilayers
cites work: Hencky-type discrete model for pantographic structures: numerical comparison with second gradient continuum models
DOI: 10.1007/S00161-018-0650-X
description: scientific article; zbMATH DE number 6946057