2009
DOI: 10.1098/rsta.2008.0293
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In silicobiology of bone modelling and remodelling: regeneration

Abstract: Bone regeneration is the process whereby bone is able to (scarlessly) repair itself from trauma, such as fractures or implant placement. Despite extensive experimental research, many of the mechanisms involved still remain to be elucidated. Over the last decade, many mathematical models have been established to investigate the regeneration process in silico. The first models considered only the influence of the mechanical environment as a regulator of the healing process. These models were followed by the deve… Show more

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Cited by 59 publications
(45 citation statements)
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“…However, these PDE models are not capable of simulating processes of a cellular scale. We finally remark that some reviews on PDE modeling of biological processes were written by Geris et al (2010), Geris et al (2009), Baker et al (2008), Murray (2004), where both mechanical balances and transport through random walk, tenso-taxis and chemo-taxis were taken into account.…”
Section: Introductionmentioning
confidence: 99%
“…However, these PDE models are not capable of simulating processes of a cellular scale. We finally remark that some reviews on PDE modeling of biological processes were written by Geris et al (2010), Geris et al (2009), Baker et al (2008), Murray (2004), where both mechanical balances and transport through random walk, tenso-taxis and chemo-taxis were taken into account.…”
Section: Introductionmentioning
confidence: 99%
“…Several works have reviewed the processes of tissue differentiation and adaptation in musculoskeletal tissues from different perspectives [16]- [18]. However, to the knowledge of the author, the literature that reviews their mathematical fundamentals and implementation is scarce.…”
Section: Introductionmentioning
confidence: 99%
“…Models situated at the tissue level tend to represent cells, extracellular matrix and growth factors by concentrations or densities (in weight of growth factors per volume or amount of cells per volume). A large body of literature exists describing the use of tissue level in silico models for simulation of bone biology and regeneration as reviewed in [13][14][15]. Typically, these models focus on a specific aspect of the fracture healing process such as mechanical loading, soluble growth factors or angiogenesis.…”
Section: Classification Of In Silico Models By Length Scales and Infomentioning
confidence: 99%