Bone ingrowth on the surface of endosseous implants. Part 2: Theoretical and numerical analysis

Moreo, P.; García-Aznar, J.M.; Doblaré, M.

doi:10.1016/j.jtbi.2009.05.036

Cited by 22 publications

(21 citation statements)

References 22 publications

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“…Many clinical applications of these mechano-regulation models can be found in literature: Lacroix and Prendergast 86 predicted the patterns of tissue differentiation during fracture healing of long bones; Andreykiv et al 88 and Moreo et al 128, 129 simulated the bone ingrowth on the surface of a glenoid component and of endosseous implants, respectively; Boccaccio et al determined the optimal rate of expansion 89 (Figure 7) and the optimal duration of the latency period 90, 130 in a mandibular symphyseal distraction osteogenesis; Shefelbine et al 131 simulated the fracture healing process in cancellous bone; Boccaccio et al 132, adopting a multi-scale approach predicted the patterns of tissue differentiation observed in a lumbar vertebral fracture.…”

Section: Mechanobiologymentioning

confidence: 99%

Finite Element Method (FEM), Mechanobiology and Biomimetic Scaffolds in Bone Tissue Engineering

Boccaccio¹,

Ballini²,

Pappalettere³

et al. 2011

Int. J. Biol. Sci.

135

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Techniques of bone reconstructive surgery are largely based on conventional, non-cell-based therapies that rely on the use of durable materials from outside the patient's body. In contrast to conventional materials, bone tissue engineering is an interdisciplinary field that applies the principles of engineering and life sciences towards the development of biological substitutes that restore, maintain, or improve bone tissue function. Bone tissue engineering has led to great expectations for clinical surgery or various diseases that cannot be solved with traditional devices. For example, critical-sized defects in bone, whether induced by primary tumor resection, trauma, or selective surgery have in many cases presented insurmountable challenges to the current gold standard treatment for bone repair. The primary purpose of bone tissue engineering is to apply engineering principles to incite and promote the natural healing process of bone which does not occur in critical-sized defects. The total market for bone tissue regeneration and repair was valued at $1.1 billion in 2007 and is projected to increase to nearly $1.6 billion by 2014.Usually, temporary biomimetic scaffolds are utilized for accommodating cell growth and bone tissue genesis. The scaffold has to promote biological processes such as the production of extra-cellular matrix and vascularisation, furthermore the scaffold has to withstand the mechanical loads acting on it and to transfer them to the natural tissues located in the vicinity. The design of a scaffold for the guided regeneration of a bony tissue requires a multidisciplinary approach. Finite element method and mechanobiology can be used in an integrated approach to find the optimal parameters governing bone scaffold performance.In this paper, a review of the studies that through a combined use of finite element method and mechano-regulation algorithms described the possible patterns of tissue differentiation in biomimetic scaffolds for bone tissue engineering is given. Firstly, the generalities of the finite element method of structural analysis are outlined; second, the issues related to the generation of a finite element model of a given anatomical site or of a bone scaffold are discussed; thirdly, the principles on which mechanobiology is based, the principal theories as well as the main applications of mechano-regulation models in bone tissue engineering are described; finally, the limitations of the mechanobiological models and the future perspectives are indicated.

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Section: Mechanobiologymentioning

confidence: 99%

Finite Element Method (FEM), Mechanobiology and Biomimetic Scaffolds in Bone Tissue Engineering

Boccaccio¹,

Ballini²,

Pappalettere³

et al. 2011

Int. J. Biol. Sci.

135

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“…In one model, a proliferation of adherent cells was studied to use in biology and medicine for simulations of cell-substrate interaction [37]. Two studies in which three types of cells and two growth factors were involved in simulation [22,38] concluded that some features of biological factors may be reproduced. Integration of the current outcomes from the consecutively produced models may not be promising, because the numerical solutions are based on verified mathematical theories of bone adaptation [17,39].…”

Section: Discussionmentioning

confidence: 99%

Numerical simulation of the effect of time-to-loading on peri-implant bone

Akça

Eser

Canay

2010

Medical Engineering & Physics

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“…Concerning the density of the osteoblasts, b, due to biological reasons we can assume that osteoblasts are immobile cells that are not able to move, being its main role to deposit new matrix, and therefore, there is no flux of osteoblasts. However, the mathematical model includes, in terms of kinetics, a source term of differentiation from the osteogenic phenotype and a decay term representing differentiation into osteocytes which is written as [21] ∂b…”

Section: Mechanical Problem and Its Variational Formulationmentioning

confidence: 99%

“…Recently, some authors have dealt with the osseointegration process. For instance, Guan et al [13], using the finite element technique, evaluated the stress characteristics within the mandible during a dynamic simulation of the implant insertion process, and Moreo et al (see [20,21,23] or the PhD Thesis of P. Moreo [19]) considered a fully coupled model to study the evolution of the osseointegration on the surface of endosseous implants.…”

Section: Introductionmentioning

confidence: 99%

“…First FE-based models were phenomenological, where mathematical laws were proposed in order to describe the process of bonding and debonding of the implant to the bone, independently of the biological processes involved [12,22,24]. However, more recently, reaction-diffusion equations have been used to model multiphysics interaction associated to bone-implant interface, incorporating variables like mass matrix, osteogenic cells, osteoblasts, growth factors, etc (see, for instance, [11,12,16,21,24] and the references cited therein). This mathematical approach could be a useful design tool that allows to improve implant design.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Numerical analysis of an osteoconduction model arising in bone-implant integration

Fernández

García-Aznar

Masid

2017

Z. Angew. Math. Mech.

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a priori error estimates, numerical simulations. MSC (2010) 65M60, 65M15, 65M12, 74L15, 92C17In this paper, we study, from a numerical point of view, an osseointegrated model depending on the density of the osteogenic cells and osteoblasts and one generic growth factor. The problem is written as a coupled system of nonlinear partial differential equations and an ordinary differential equation. The variational formulation leads to two coupled parabolic nonlinear variational equations. Then, its numerical approximation is introduced by using the finite element method to approximate the spatial variable and an Euler scheme to discretize the time derivatives. A priori error estimates are then proved, from which the linear convergence is obtained under suitable additional regularity conditions. Finally, some numerical simulations are presented to show the accuracy of the approximation and the behaviour of the solution.

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Bone ingrowth on the surface of endosseous implants. Part 2: Theoretical and numerical analysis

Cited by 22 publications

References 22 publications

Finite Element Method (FEM), Mechanobiology and Biomimetic Scaffolds in Bone Tissue Engineering

Finite Element Method (FEM), Mechanobiology and Biomimetic Scaffolds in Bone Tissue Engineering

Numerical simulation of the effect of time-to-loading on peri-implant bone

Numerical analysis of an osteoconduction model arising in bone-implant integration

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