2014
DOI: 10.1016/j.bone.2014.03.050
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A multiscale analytical approach for bone remodeling simulations: Linking scales from collagen to trabeculae

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Cited by 37 publications
(20 citation statements)
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“…Computational studies have tried to combine these different scales in various ways, such as the integration of phenomenological behaviors identified through a microscale mechanistic simulation into an existing mesoscale model (Phillips et al 2015;Villette and Phillips 2016), multiscale integration through a multistep homogenization method (Fritsch and Hellmich 2007;Scheiner et al 2013;Colloca et al 2014), and a combination of mesoscale neural network computation and macroscopic finite element analyses (Unger and Könke 2008;Hambli 2010Hambli , 2011Hambli et al 2011). These methods were based on a multiscale analytical approach, where bone structural information from microscale analyses was combined with macroscale bone mechanical properties.…”
Section: Discussionmentioning
confidence: 99%
“…Computational studies have tried to combine these different scales in various ways, such as the integration of phenomenological behaviors identified through a microscale mechanistic simulation into an existing mesoscale model (Phillips et al 2015;Villette and Phillips 2016), multiscale integration through a multistep homogenization method (Fritsch and Hellmich 2007;Scheiner et al 2013;Colloca et al 2014), and a combination of mesoscale neural network computation and macroscopic finite element analyses (Unger and Könke 2008;Hambli 2010Hambli , 2011Hambli et al 2011). These methods were based on a multiscale analytical approach, where bone structural information from microscale analyses was combined with macroscale bone mechanical properties.…”
Section: Discussionmentioning
confidence: 99%
“…A comprehensive multiscale model of bone remodelling multiscale model, accounting for hormonal regulation and biochemical coupling of bone cell populations is presented by [245]. Structural changes induced by osteoclasts and osteoblasts at the "cellscale" change bone density at higher-scales in the model proposed by [449].…”
Section: Clg-clg Clg-h a Clg-h 2 O H A-h A H A-mentioning
confidence: 99%
“…In modeling bone adaptation, one approach is to explicitly account for bone remodeling although mathematical models of bone remodeling are themselves relatively untested . Various authors adopted a multiscale modeling approach, implementing analytical scale‐bridging relationships from the mineral constituent scale through the bone tissue scale along with a cell‐scale bone remodeling algorithm. Due to challenges in measuring bone remodeling activity parameters in a specimen specific manner, the above model predictions relating to the evolution of bone mineral content with time could only be compared against a micro finite element simulation with identical initial bone mineral content and cellular activity parameters.…”
Section: Multiscale Models Of the Musculoskeletal Systemmentioning
confidence: 99%