Advanced

Diffusion in Bone Tissue

Lindberg, Gustav LU (2013)
Abstract
In order to prevent or modify the processes of bone degeneration the modeling and

remodeling of bone tissue must be better understood. In this thesis it is assumed that

the primary condition leading to bone growth is a change of the chemical environment

caused by transport of matter resulting from stress driven diffusion. The change in the

chemical environment may consist of changes in the concentration of different substances

stimulating, for example, bone building osteoblast recruitment or suppression of bone

resorbing osteoclast activity. Since bone growth takes place at the outer bone surface, the

hypothesis is that substances promoting bone growth are transported from the... (More)
In order to prevent or modify the processes of bone degeneration the modeling and

remodeling of bone tissue must be better understood. In this thesis it is assumed that

the primary condition leading to bone growth is a change of the chemical environment

caused by transport of matter resulting from stress driven diffusion. The change in the

chemical environment may consist of changes in the concentration of different substances

stimulating, for example, bone building osteoblast recruitment or suppression of bone

resorbing osteoclast activity. Since bone growth takes place at the outer bone surface, the

hypothesis is that substances promoting bone growth are transported from the medullary

cavity to the outer surface, the periosteum, of the long skeletal bone by stress driven

diffusion. Inspired by an experiment performed by Lanyon and Rubin (1984) a numerical

model is developed which can be solved using a regular structural finite element solver.

It is found that bone growth to a higher extent takes place where high concentration of

matter arises rather than where the mechanical stress is high. It is also seen that bone

growth is dependent on load frequency. The model uses normalized input data, but in

order to make full use of the results the actual diffusion coefficient of interest must be

known, and hence an approach is developed for determining diffusion coefficients in bone

tissue. By means of conductivity measurements together with an analytical solution,

which is fitted to the experimental data using a Kalman filter, diffusion coefficients can

be extracted. (Less)
Please use this url to cite or link to this publication:
author
supervisor
organization
publishing date
type
Thesis
publication status
published
subject
keywords
bone growth, diffusion, stress enhanced, finite element method, steady-state, periosteal membrane, diffusion in bovine bone, diffusion experiment, Conductivity measurement, Fick’s law, Fourier series, Kalman filter, transient solution
publisher
Solid Mechanics, Faculty of Engineering, Lund University
ISBN
978-91-7473-762-2 (online)
978-91-7473-761-5
language
English
LU publication?
yes
id
8ed126b3-68df-4dd6-b7bd-e486ade3bc5c (old id 4275927)
date added to LUP
2014-01-29 09:59:28
date last changed
2016-09-19 08:45:04
@misc{8ed126b3-68df-4dd6-b7bd-e486ade3bc5c,
  abstract     = {In order to prevent or modify the processes of bone degeneration the modeling and<br/><br>
remodeling of bone tissue must be better understood. In this thesis it is assumed that<br/><br>
the primary condition leading to bone growth is a change of the chemical environment<br/><br>
caused by transport of matter resulting from stress driven diffusion. The change in the<br/><br>
chemical environment may consist of changes in the concentration of different substances<br/><br>
stimulating, for example, bone building osteoblast recruitment or suppression of bone<br/><br>
resorbing osteoclast activity. Since bone growth takes place at the outer bone surface, the<br/><br>
hypothesis is that substances promoting bone growth are transported from the medullary<br/><br>
cavity to the outer surface, the periosteum, of the long skeletal bone by stress driven<br/><br>
diffusion. Inspired by an experiment performed by Lanyon and Rubin (1984) a numerical<br/><br>
model is developed which can be solved using a regular structural finite element solver.<br/><br>
It is found that bone growth to a higher extent takes place where high concentration of<br/><br>
matter arises rather than where the mechanical stress is high. It is also seen that bone<br/><br>
growth is dependent on load frequency. The model uses normalized input data, but in<br/><br>
order to make full use of the results the actual diffusion coefficient of interest must be<br/><br>
known, and hence an approach is developed for determining diffusion coefficients in bone<br/><br>
tissue. By means of conductivity measurements together with an analytical solution,<br/><br>
which is fitted to the experimental data using a Kalman filter, diffusion coefficients can<br/><br>
be extracted.},
  author       = {Lindberg, Gustav},
  isbn         = {978-91-7473-762-2 (online)},
  keyword      = {bone growth,diffusion,stress enhanced,finite element method,steady-state,periosteal membrane,diffusion in bovine bone,diffusion experiment,Conductivity measurement,Fick’s law,Fourier series,Kalman filter,transient solution},
  language     = {eng},
  publisher    = {ARRAY(0x9eb0700)},
  title        = {Diffusion in Bone Tissue},
  year         = {2013},
}