Strain driven transport for bone modeling at the periosteal surface.
(2011) In Mathematical Biosciences 230. p.37-44- Abstract
- Bone modeling and remodeling has been the subject of extensive experimental studies. There have been several mathematical models proposed to explain the observed behavior, as well. A different approach is taken here in which the bone is treated from a macroscopic view point. In this investigation, a one-dimensional analytical model is used to shed light on the factors which play the greatest role in modeling or growth of cortical bone at the periosteal surface. It is presumed that bone growth is promoted when increased amounts of bone nutrients, such as nitric oxide synthase (NOS) or messenger molecules, such as prostaglandin E(2) (PGE(2)), seep out to the periosteal surface of cortical bone and are absorbed by osteoblasts. The transport... (More)
- Bone modeling and remodeling has been the subject of extensive experimental studies. There have been several mathematical models proposed to explain the observed behavior, as well. A different approach is taken here in which the bone is treated from a macroscopic view point. In this investigation, a one-dimensional analytical model is used to shed light on the factors which play the greatest role in modeling or growth of cortical bone at the periosteal surface. It is presumed that bone growth is promoted when increased amounts of bone nutrients, such as nitric oxide synthase (NOS) or messenger molecules, such as prostaglandin E(2) (PGE(2)), seep out to the periosteal surface of cortical bone and are absorbed by osteoblasts. The transport of the bone nutrients is assumed to be a strain controlled process. Equations for the flux of these nutrients are written for a one-dimensional model of a long bone. The obtained partial differential equation is linearized and solved analytically. Based upon the seepage of nutrients out of the bone, the effect of loading frequency, number of cycles and strain level is examined for several experiments that were found in the literature. It is seen that bone nutrient seepage is greatest on the tensile side of the bone; this location coincides with the greatest amount of bone modeling. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1777887
- author
- Banks-Sills, Leslie LU ; Ståhle, Per LU ; Svensson, Ingrid LU and Eliaz, Noam
- organization
- publishing date
- 2011
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Mathematical Biosciences
- volume
- 230
- pages
- 7 pages
- publisher
- Elsevier
- external identifiers
-
- wos:000288630100004
- pmid:21199660
- scopus:79951769042
- pmid:21199660
- ISSN
- 0025-5564
- DOI
- 10.1016/j.mbs.2010.12.008
- language
- English
- LU publication?
- yes
- id
- 87179cc0-da8b-476e-96c4-b102c349f292 (old id 1777887)
- date added to LUP
- 2016-04-01 14:24:31
- date last changed
- 2022-01-28 00:29:43
@article{87179cc0-da8b-476e-96c4-b102c349f292,
abstract = {{Bone modeling and remodeling has been the subject of extensive experimental studies. There have been several mathematical models proposed to explain the observed behavior, as well. A different approach is taken here in which the bone is treated from a macroscopic view point. In this investigation, a one-dimensional analytical model is used to shed light on the factors which play the greatest role in modeling or growth of cortical bone at the periosteal surface. It is presumed that bone growth is promoted when increased amounts of bone nutrients, such as nitric oxide synthase (NOS) or messenger molecules, such as prostaglandin E(2) (PGE(2)), seep out to the periosteal surface of cortical bone and are absorbed by osteoblasts. The transport of the bone nutrients is assumed to be a strain controlled process. Equations for the flux of these nutrients are written for a one-dimensional model of a long bone. The obtained partial differential equation is linearized and solved analytically. Based upon the seepage of nutrients out of the bone, the effect of loading frequency, number of cycles and strain level is examined for several experiments that were found in the literature. It is seen that bone nutrient seepage is greatest on the tensile side of the bone; this location coincides with the greatest amount of bone modeling.}},
author = {{Banks-Sills, Leslie and Ståhle, Per and Svensson, Ingrid and Eliaz, Noam}},
issn = {{0025-5564}},
language = {{eng}},
pages = {{37--44}},
publisher = {{Elsevier}},
series = {{Mathematical Biosciences}},
title = {{Strain driven transport for bone modeling at the periosteal surface.}},
url = {{http://dx.doi.org/10.1016/j.mbs.2010.12.008}},
doi = {{10.1016/j.mbs.2010.12.008}},
volume = {{230}},
year = {{2011}},
}