2007
DOI: 10.1007/s10237-007-0108-8
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Simulation of fracture healing incorporating mechanoregulation of tissue differentiation and dispersal/proliferation of cells

Abstract: Modelling the course of healing of a long bone subjected to loading has been the subject of several investigations. These have succeeded in predicting the differentiation of tissues in the callus in response to a static mechanical load and the diffusion of biological factors. In this paper an approach is presented which includes both mechanoregulation of tissue differentiation and the diffusion and proliferation of cell populations (mesenchymal stem cells, fibroblasts, chondrocytes, and osteoblasts). This is a… Show more

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Cited by 81 publications
(45 citation statements)
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“…This implies that bone remodeling was significant only at late healing stages. Present mathematical models of bone healing (45)(46)(47) usually are based on the experimental observation that the main source of the stem cells is the periosteum, (48)(49)(50) and thus new bone tissue within the external mineralized callus is predicted to form first on the periosteal side and then into the osteotomy/fracture gap. Our study does support this concept in a way that callus mineral particles appeared to develop much earlier/faster in the periosteal region near the cortical bone ( Fig.…”
Section: Discussionmentioning
confidence: 99%
“…This implies that bone remodeling was significant only at late healing stages. Present mathematical models of bone healing (45)(46)(47) usually are based on the experimental observation that the main source of the stem cells is the periosteum, (48)(49)(50) and thus new bone tissue within the external mineralized callus is predicted to form first on the periosteal side and then into the osteotomy/fracture gap. Our study does support this concept in a way that callus mineral particles appeared to develop much earlier/faster in the periosteal region near the cortical bone ( Fig.…”
Section: Discussionmentioning
confidence: 99%
“…They used their model to investigate the influence of gap size and interfragmentary movement on the callus size. Andreykiv et al (2007) started from the mechanoregulatory model proposed by Prendergast et al (1997) and included diffusion, proliferation and differentiation of cell populations (mesenchymal stem cells, fibroblasts, chondrocytes and osteoblasts). Model parameters were selected based on the comparison with an in vivo experiment.…”
Section: (C ) and Back Againmentioning
confidence: 99%
“…Furthermore, it assumes that all MSCs will respond identically to their mechanical environment, whereas in reality the bone marrow cell population in itself is highly heterogeneous. Cellular events and characteristics can be captured more accurately with extended continuum models (Andreykiv et al, 2008;Isaksson et al, 2008b,a) or lattice based approaches including stochastic components (Perez and Prendergast, 2007;Byrne et al, 2007;Checa and Prendergast, 2009a). Callus growth was not considered, but has been incorparated into other models (Gómez-Benito et al, 2005García-Aznar et al, 2007).…”
Section: Discussionmentioning
confidence: 99%
“…where c cell is the current cell concentration and D = 0.34 mm 2 d −1 the diffusion coefficient (Lacroix et al, 2002;Andreykiv et al, 2008). Fluid flow and shear strain were used as mechanoregulatory stimuli for tissue differentiation Lacroix and Prendergast, 2002b,a;Isaksson et al, 2006a,b).…”
Section: Mechano-regulation Modelmentioning
confidence: 99%