Paper Info
Title
A meshless Local Boundary Integral Equation (LBIE) method for cell proliferation predictions in bone healing.
Abstract
Bone healing involves a series of complicated cellular and molecular mechanisms that result in bone formation. Several mechanobiological models have been developed to simulate these cellular mechanisms via diffusive processes. In most cases solution to diffusion equations is accomplished using the Finite Element Method (FEM) which however requires global remeshing in problems with moving or new born surfaces or material phases. This limitation is addressed in meshless methods in which no background cells are needed for the numerical solution of the integrals. In this study a new meshless Local Boundary Integral Equation (LBIE) method is employed for deriving predictions of cell proliferation during bone healing. First a benchmark problem is presented to assess the accuracy of the method. Then the LBIE method is utilized for the solution of cell diffusion problem in a two-dimensional (2D) model of fractured model. Our findings indicate that the proposed here LBIE method can successfully predict cell distributions during fracture healing.
Year
DOI
Venue
2013
10.1109/EMBC.2013.6610091
EMBC
Keywords
DocType
Volume
biomechanics,cellular biophysics,cell proliferation,biodiffusion,cell diffusion problem,lbie,bone healing,bone,mechanobiological models,fractured model,fracture healing,boundary integral equations,meshless local boundary integral equation,finite element analysis,mathematical model,computational modeling
Conference
2013
ISSN
Citations 
PageRank 
1557-170X
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
Konstantinos N Grivas101.01
Maria G Vavva202.03
Euripides J Sellountos300.34
Demosthenes Polyzos472.78
Dimitrios I Fotiadis54914.82