1988
DOI: 10.1002/jor.1100060517
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Abstract: A general theory for the role of intermittently imposed stresses in the differentiation of mesenchymal tissue is presented and then applied to the process of fracture healing. Two-dimensional finite element models of a healing osteotomy in a long bone were generated and the stress distributions were calculated throughout the early callus tissue under various loading conditions. These calculations were used in formulating theoretical predictions of tissue differentiation that were consistent with the biochemica… Show more

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Cited by 350 publications
(258 citation statements)
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“…It is worth noting that the order of the protrusion force magnitude is the same as that of the traction force but with a lower amplitude [28,48,71]. So, it can be described as F prot = αF trac net e rand (9) where e rand and α represent a random unit vector and a random scalar, 0 ≤ α < 1, respectively, while F trac net is the magnitude of the net traction force [48,49]. At the microscale, the viscous resistance dominates the inertial resistance [48,71] so that the force balance reads…”
Section: Cells Effective Forcesmentioning
confidence: 99%
See 1 more Smart Citation
“…It is worth noting that the order of the protrusion force magnitude is the same as that of the traction force but with a lower amplitude [28,48,71]. So, it can be described as F prot = αF trac net e rand (9) where e rand and α represent a random unit vector and a random scalar, 0 ≤ α < 1, respectively, while F trac net is the magnitude of the net traction force [48,49]. At the microscale, the viscous resistance dominates the inertial resistance [48,71] so that the force balance reads…”
Section: Cells Effective Forcesmentioning
confidence: 99%
“…Inducing magnetic force on these magnetic nanoparticles causes compression and/or stretching of the hydrogel, leading to an increase in the bulk elastic modulus and the hydrogel rigidity. Several numerical models have been developed for considering the general patterns of tissue reconstruction resulting from the external mechanical stimuli during fracture healing [9,10,21,30,32,36,37,64]. For example, Stops et al [64] have considered cell differentiation and proliferation within a collagen-glycosaminoglycan scaffold subjected to mechanical strain and perfusive fluid flow.…”
Section: Introductionmentioning
confidence: 99%
“…Different numerical models based on similar hypotheses have been proposed [e.g. 10,12,18]. Prendergast et al [43] proposed a model for mechano-regulated tissue differentiation which assumes that the regenerating tissue is a poroelastic material where the biophysical stimulus regulating differentiation is a function of tissue shear strain and the interstitial fluid flow.…”
Section: Introductionmentioning
confidence: 99%
“…Different models have been proposed which relate tissue differentiation to the mechanical environment within the mesenchymal tissue. 8,9,15,35,36 Prendergast et al 36 proposed a mechanoregulation model where the bone callus is assumed to be a poroelastic material and the stimulus regulating tissue differentiation is hypothesized to be a function of tissue shear strain and the interstitial fluid flow. This model was used to successfully predict the patterns of tissue differentiation during fracture healing 25 , at implant/bone interfaces 2,19 and during osteochondral defect repair.…”
Section: Introductionmentioning
confidence: 99%