Modelling the Effects of Growth and Remodelling on the Density and Structure of Cancellous Bone.

Brianna L Martin, Karen J Reynolds, Nicola L Fazzalari, Murk J Bottema

Abstract read

In one paragraph

Article in Bulletin of mathematical biology, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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0citing papers in PubMed

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1 · What the graph read from it

What it found

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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

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3 · Its place in the literature

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0 citing papers in PubMed.

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4 · The record

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5 · Who and what money

Authors and funding

4 authors.

Brianna L MartinMarine Spatial Ecology Laboratory, School of the Environment, The University of Queensland, Level 5, Goddard Building, St. Lucia, QLD, 4072, Australia.

Karen J ReynoldsMedical Device Research Institute, College of Science and Engineering, Flinders University, Tonsley Campus, 1284 South Rd, Clovelly Park, SA, 5042, Australia.

Nicola L FazzalariMedical Device Research Institute, College of Science and Engineering, Flinders University, Tonsley Campus, 1284 South Rd, Clovelly Park, SA, 5042, Australia.

Murk J BottemaMedical Device Research Institute, College of Science and Engineering, Flinders University, Tonsley Campus, 1284 South Rd, Clovelly Park, SA, 5042, Australia. murk.bottema@flinders.edu.au.ORCID http://orcid.org/0000-0002-8641-1374

Funding

Australian Research Council DP0663271

6 · The paper itself

Abstract

A two-stage model is proposed for investigating remodelling characteristics in bone over time and distance to the growth plate. The first stage comprises a partial differential equation (PDE) for bone density as a function of time and distance from the growth plate. This stage clarifies the contributions to changes in bone density due to remodelling and growth processes and tracks the rate at which new bone emanates from the growth plate. The second stage consists of simulating the remodelling process to determine remodelling characteristics. Implementing the second stage requires the rate at which bone moves away from the growth plate computed during the first stage. The second stage is also needed to confirm that remodelling characteristics predicted by the first stage may be explained by a realistic model for remodelling and to compute activation frequency. The model is demonstrated on microCT scans of tibia of juvenile female rats in three experimental groups: sham-operated control, oestrogen deprived, and oestrogen deprived followed by treatment. Model predictions for changes in bone density and remodelling characteristics agree with the literature. In addition, the model provides new insight into the role of treatment on the density of new bone emanating from the growth plate and provides quantitative descriptions of changes in remodelling characteristics beyond what has been possible to ascertain by experimentation alone.

Indexed as

Cancellous BoneMathematical ConceptsAnimalsEstrogensFemaleModels, BiologicalRatsResearch DesignEstrogensActivation frequencyCancellous boneFormation fractionMathematical modelRemodellingResorption volume

Identifiers

PMID38436708

DOI10.1007/s11538-024-01267-3

PMCPMC10912124

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