The Ellipsoid Factor for Quantification of Rods, Plates, and Intermediate Forms in 3D Geometries

Frontiers in Endocrinology
Michael Doube

Abstract

The ellipsoid factor (EF) is a method for the local determination of the rod- or plate-like nature of porous or spongy continua. EF at a point within a 3D structure is defined as the difference in axis ratios of the greatest ellipsoid that fits inside the structure and that contains the point of interest, and ranges from -1 for strongly oblate (discus-shaped) ellipsoids, to +1 for strongly prolate (javelin-shaped) ellipsoids. For an ellipsoid with axes a ≤ b ≤ c, EF = a/b - b/c. Here, EF is demonstrated in a Java plugin, "Ellipsoid Factor" for ImageJ, distributed in the BoneJ plugin collection. Ellipsoid Factor utilizes an ellipsoid optimization algorithm, which assumes that maximal ellipsoids are centered on the medial axis, then dilates, rotates, and translates slightly each ellipsoid until it cannot increase in volume any further. EF successfully identifies rods, plates, and intermediate structures within trabecular bone, and summarizes the distribution of geometries with an overall EF mean and SD, EF histogram, and Flinn diagram displaying a/b versus b/c. EF is released to the community for testing, use, and improvement.

References

Dec 1, 1987·Journal of Bone and Mineral Research : the Official Journal of the American Society for Bone and Mineral Research·A M ParfittR R Recker
Jan 1, 1997·Computer Methods in Biomechanics and Biomedical Engineering·TOR Hildebrand, PETER Rüegsegger
Apr 7, 2006·Journal of Bone and Mineral Research : the Official Journal of the American Society for Bone and Mineral Research·Martin StauberRalph Müller
Sep 26, 2006·Journal of Bone and Mineral Research : the Official Journal of the American Society for Bone and Mineral Research·Xiaowei S LiuX Edward Guo
Oct 3, 2007·Journal of Bone and Mineral Research : the Official Journal of the American Society for Bone and Mineral Research·X Sherry LiuX Edward Guo
Feb 15, 2008·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·M F Ashby
Mar 17, 2010·Microscopy Research and Technique·Ignacio Arganda-CarrerasCarlos Ortiz-De-Solorzano
Sep 8, 2010·Bone·Michael DoubeSandra J Shefelbine
Oct 1, 2010·Medical Physics·Françoise PeyrinClaude Laurent Benhamou
Mar 11, 2011·Proceedings. Biological Sciences·Michael DoubeSandra J Shefelbine
May 11, 2011·Journal of Bone and Mineral Research : the Official Journal of the American Society for Bone and Mineral Research·X Sherry LiuX Edward Guo

❮ Previous
Next ❯

Citations

Nov 4, 2015·Frontiers in Endocrinology·Phil L SalmonMichael Doube
Mar 25, 2018·The Anatomical Record : Advances in Integrative Anatomy and Evolutionary Biology·Susan Coiner-CollierRobert S Scott
Dec 8, 2017·Frontiers in Zoology·Eli AmsonJohn A Nyakatura
Aug 15, 2018·Scientific Reports·Juuso H KetolaSimo Saarakkala
Aug 25, 2020·Acta Crystallographica Section B, Structural Science, Crystal Engineering and Materials·Dan G DumitrescuArie van der Lee
Nov 17, 2020·Osteoporosis International : a Journal Established As Result of Cooperation Between the European Foundation for Osteoporosis and the National Osteoporosis Foundation of the USA·J DuV V Silberschmidt
May 15, 2021·Wellcome Open Research·Richard DomanderMichael Doube
Jun 12, 2021·Royal Society Open Science·A A FelderM Doube
Jul 6, 2021·Chemical Science·Arie van der Lee, Dan G Dumitrescu

❮ Previous
Next ❯

Methods Mentioned

BETA
X-ray

Software Mentioned

ImageJ
BoneJ

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review Letters
B M NyakóJ F Sharpey-Schafer
Bulletin of the New York Academy of Medicine
F Kennedy
Journal of Theoretical Biology
R S Morgan
© 2021 Meta ULC. All rights reserved