دورية أكاديمية
Identification of approximate symmetries in biological development.
| العنوان: | Identification of approximate symmetries in biological development. |
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| المؤلفون: | Gandhi P; Department of Mathematics and Applied Mathematics, Virginia Commonwealth University, Richmond, VA, USA., Ciocanel MV; Department of Mathematics and Department of Biology, Duke University, Durham, NC, USA., Niklas K; School of Integrative Plant Biology, Cornell University, Ithaca, NY, USA., Dawes AT; Department of Mathematics and Department of Molecular Genetics, The Ohio State University, Columbus, OH, USA. |
| المصدر: | Philosophical transactions. Series A, Mathematical, physical, and engineering sciences [Philos Trans A Math Phys Eng Sci] 2021 Dec 27; Vol. 379 (2213), pp. 20200273. Date of Electronic Publication: 2021 Nov 08. |
| نوع المنشور: | Journal Article |
| اللغة: | English |
| بيانات الدورية: | Publisher: The Royal Society Country of Publication: England NLM ID: 101133385 Publication Model: Print-Electronic Cited Medium: Internet ISSN: 1471-2962 (Electronic) Linking ISSN: 1364503X NLM ISO Abbreviation: Philos Trans A Math Phys Eng Sci Subsets: MEDLINE |
| أسماء مطبوعة: | Original Publication: London : The Royal Society, c1996- |
| مواضيع طبية MeSH: | Models, Theoretical* , Physics*, Mathematics ; Models, Biological ; Morphogenesis ; Plants |
| مستخلص: | Virtually all forms of life, from single-cell eukaryotes to complex, highly differentiated multicellular organisms, exhibit a property referred to as symmetry. However, precise measures of symmetry are often difficult to formulate and apply in a meaningful way to biological systems, where symmetries and asymmetries can be dynamic and transient, or be visually apparent but not reliably quantifiable using standard measures from mathematics and physics. Here, we present and illustrate a novel measure that draws on concepts from information theory to quantify the degree of symmetry, enabling the identification of approximate symmetries that may be present in a pattern or a biological image. We apply the measure to rotation, reflection and translation symmetries in patterns produced by a Turing model, as well as natural objects (algae, flowers and leaves). This method of symmetry quantification is unbiased and rigorous, and requires minimal manual processing compared to alternative measures. The proposed method is therefore a useful tool for comparison and identification of symmetries in biological systems, with potential future applications to symmetries that arise during development, as observed in vivo or as produced by mathematical models. This article is part of the theme issue 'Recent progress and open frontiers in Turing's theory of morphogenesis'. |
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| فهرسة مساهمة: | Keywords: approximate symmetries; asymmetry measure; information theory and entropy; morphogenesis |
| تواريخ الأحداث: | Date Created: 20211108 Date Completed: 20211109 Latest Revision: 20240405 |
| رمز التحديث: | 20240405 |
| مُعرف محوري في PubMed: | PMC8580469 |
| DOI: | 10.1098/rsta.2020.0273 |
| PMID: | 34743597 |
| قاعدة البيانات: | MEDLINE |
| تدمد: | 1471-2962 |
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| DOI: | 10.1098/rsta.2020.0273 |