Emergence of structure in mouse embryos: Structural Entropy morphometry applied to digital models of embryonic anatomy.
developmental anatomy
graph theory
information theory
metrics
morphometry
Journal
Journal of anatomy
ISSN: 1469-7580
Titre abrégé: J Anat
Pays: England
ID NLM: 0137162
Informations de publication
Date de publication:
10 2019
10 2019
Historique:
accepted:
21
05
2019
pubmed:
6
7
2019
medline:
12
9
2020
entrez:
6
7
2019
Statut:
ppublish
Résumé
We apply an information-theoretic measure to anatomical models of the Edinburgh Mouse Atlas Project. Our goal is to quantify the anatomical complexity of the embryo and to understand how this quantity changes as the organism develops through time. Our measure, Structural Entropy, takes into account the geometrical character of the intermingling of tissue types in the embryo. It does this by a mathematical process that effectively imagines a point-like explorer that starts at an arbitrary place in the 3D structure of the embryo and takes a random path through the embryo, recording the sequence of tissues through which it passes. Consideration of a large number of such paths yields a probability distribution of paths making connections between specific tissue types, and Structural Entropy is calculated from this (mathematical details are given in the main text). We find that Structural Entropy generally decreases (order increases) almost linearly throughout developmental time (4-18 days). There is one `blip' of increased Structural Entropy across days 7-8: this corresponds to gastrulation. Our results highlight the potential for mathematical techniques to provide insight into the development of anatomical structure, and also the need for further sources of accurate 3D anatomical data to support analyses of this kind.
Identifiants
pubmed: 31276197
doi: 10.1111/joa.13031
pmc: PMC6742931
doi:
Types de publication
Journal Article
Research Support, Non-U.S. Gov't
Langues
eng
Sous-ensembles de citation
IM
Pagination
706-715Subventions
Organisme : Engineering and Physical Sciences Research Council
ID : EP/J02175X/1
Pays : International
Organisme : UK Research Councils Synthetic Biology for Growth
Pays : International
Organisme : Biotechnology and Biological Sciences Research Council
ID : BB/M018040/1
Pays : United Kingdom
Organisme : MRC
Pays : International
Informations de copyright
© 2019 The Authors. Journal of Anatomy published by John Wiley & Sons Ltd on behalf of Anatomical Society.
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