Strain Driven Transport for Bone Modeling at the Periosteal Surface

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Strain Driven Transport for Bone Modeling at the Periosteal Surface

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Publication Article, peer reviewed scientific
Title Strain Driven Transport for Bone Modeling at the Periosteal Surface
Author(s) Banks-Sills, Leslie ; Ståhle, Per ; Svensson, Ingrid ; Eliaz, Noam
Date 2011
English 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 E2 (PGE2), 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
DOI (link to publisher's fulltext)
Publisher Elsevier
Host/Issue Mathematical Biosciences;1
Volume 230
ISSN 0025-5564
Pages 37-44
Language eng (iso)
Subject(s) bone modeling
bone nutrients
strain adaptive modeling
Research Subject Categories::TECHNOLOGY::Engineering mechanics::Solid mechanics
Research Subject Categories::MEDICINE::Morphology, cell biology, pathology
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