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Emergence of form in embryogenesis
The development of form in an embryo is the result of a series of topological and informational symmetry breakings. We introduce the vector–reaction–diffusion–drift (VRDD) system where the limit cycle of spatial dynamics is morphogen concentrations with Dirac delta-type distributions. This is fundam...
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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The Royal Society
2018
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Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6283983/ https://www.ncbi.nlm.nih.gov/pubmed/30429261 http://dx.doi.org/10.1098/rsif.2018.0454 |
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author | Erkurt, Murat |
author_facet | Erkurt, Murat |
author_sort | Erkurt, Murat |
collection | PubMed |
description | The development of form in an embryo is the result of a series of topological and informational symmetry breakings. We introduce the vector–reaction–diffusion–drift (VRDD) system where the limit cycle of spatial dynamics is morphogen concentrations with Dirac delta-type distributions. This is fundamentally different from the Turing reaction–diffusion system, as VRDD generates system-wide broken symmetry. We developed ‘fundamental forms’ from spherical blastula with a single organizing axis (rotational symmetry), double axis (mirror symmetry) and triple axis (no symmetry operator in three dimensions). We then introduced dynamics for cell differentiation, where genetic regulatory states are modelled as a finite-state machine (FSM). The state switching of an FSM is based on local morphogen concentrations as epigenetic information that changes dynamically. We grow complicated forms hierarchically in spatial subdomains using the FSM model coupled with the VRDD system. Using our integrated simulation model with four layers (topological, physical, chemical and regulatory), we generated life-like forms such as hydra. Genotype–phenotype mapping was investigated with continuous and jump mutations. Our study can have applications in morphogenetic engineering, soft robotics and biomimetic design. |
format | Online Article Text |
id | pubmed-6283983 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | The Royal Society |
record_format | MEDLINE/PubMed |
spelling | pubmed-62839832018-12-17 Emergence of form in embryogenesis Erkurt, Murat J R Soc Interface Life Sciences–Mathematics interface The development of form in an embryo is the result of a series of topological and informational symmetry breakings. We introduce the vector–reaction–diffusion–drift (VRDD) system where the limit cycle of spatial dynamics is morphogen concentrations with Dirac delta-type distributions. This is fundamentally different from the Turing reaction–diffusion system, as VRDD generates system-wide broken symmetry. We developed ‘fundamental forms’ from spherical blastula with a single organizing axis (rotational symmetry), double axis (mirror symmetry) and triple axis (no symmetry operator in three dimensions). We then introduced dynamics for cell differentiation, where genetic regulatory states are modelled as a finite-state machine (FSM). The state switching of an FSM is based on local morphogen concentrations as epigenetic information that changes dynamically. We grow complicated forms hierarchically in spatial subdomains using the FSM model coupled with the VRDD system. Using our integrated simulation model with four layers (topological, physical, chemical and regulatory), we generated life-like forms such as hydra. Genotype–phenotype mapping was investigated with continuous and jump mutations. Our study can have applications in morphogenetic engineering, soft robotics and biomimetic design. The Royal Society 2018-11 2018-11-14 /pmc/articles/PMC6283983/ /pubmed/30429261 http://dx.doi.org/10.1098/rsif.2018.0454 Text en © 2018 The Authors. http://creativecommons.org/licenses/by/4.0/ Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited. |
spellingShingle | Life Sciences–Mathematics interface Erkurt, Murat Emergence of form in embryogenesis |
title | Emergence of form in embryogenesis |
title_full | Emergence of form in embryogenesis |
title_fullStr | Emergence of form in embryogenesis |
title_full_unstemmed | Emergence of form in embryogenesis |
title_short | Emergence of form in embryogenesis |
title_sort | emergence of form in embryogenesis |
topic | Life Sciences–Mathematics interface |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6283983/ https://www.ncbi.nlm.nih.gov/pubmed/30429261 http://dx.doi.org/10.1098/rsif.2018.0454 |
work_keys_str_mv | AT erkurtmurat emergenceofforminembryogenesis |