A topological look at human trabecular bone tissue

•We present a unifying approach to give a more theoretical description of previous results in the literature, which is based on CW-complexes.•We propose a model to compute the bone volume fraction as a linear function in two variables.•We identify the Euler characteristic of a topological space as a...

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Bibliographic Details
Published in:Mathematical biosciences 2017-06, Vol.288, p.159-165
Main Authors: Bini, G., Bini, F., Bedini, R., Marinozzi, A., Marinozzi, F.
Format: Article
Language:English
Subjects:
Abnormalities
Biocompatibility
Biomedical materials
Bone Density
Cancellous bone
Cancellous Bone - anatomy & histology
Cancellous Bone - cytology
Cancellous Bone - physiology
Computer architecture
CW-complex
Euler characteristic
Humans
Kelvin cell
Musculoskeletal diseases
Osteoarthritis
Osteoporosis
Studies
Trabecular bone tissue
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Summary:•We present a unifying approach to give a more theoretical description of previous results in the literature, which is based on CW-complexes.•We propose a model to compute the bone volume fraction as a linear function in two variables.•We identify the Euler characteristic of a topological space as a new indicator to detect the number of trabeculae in a mixed rod-like and plate-like model. Bone quality is affected by trabecular architecture at microscopic level. Various abnormalities of bone tissue lead to altered strength and to an increased susceptibility to fracture, such as Osteoporosis and Osteoarthritis, two major health burdens of our society. These are two complex musculoskeletal diseases that mainly concern bone tissue. In the last twenty years, there has been a growing interest in finding an appropriate topological model for the micro-architecture of trabecular bone tissue. In particular, we prove that these models involve general topological spaces. The appropriate notion to deal with is that of CW-complex.
ISSN:0025-5564
1879-3134
DOI:10.1016/j.mbs.2017.03.009