Cell polarisation in a bulk-surface model can be driven by both classic and non-classic Turing instability

Abstract The GTPase Cdc42 is the master regulator of eukaryotic cell polarisation. During this process, the active form of Cdc42 is accumulated at a particular site on the cell membrane called the pole. It is believed that the accumulation of the active Cdc42 resulting in a pole is driven by a combi...

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Autores principales:	Johannes Borgqvist, Adam Malik, Carl Lundholm, Anders Logg, Philip Gerlee, Marija Cvijovic
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Biology (General) QH301-705.5
Acceso en línea:	https://doaj.org/article/c4525d41d50d4bb2a14d381be141d7d3
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spelling	oai:doaj.org-article:c4525d41d50d4bb2a14d381be141d7d32021-12-02T13:30:13ZCell polarisation in a bulk-surface model can be driven by both classic and non-classic Turing instability10.1038/s41540-021-00173-x2056-7189https://doaj.org/article/c4525d41d50d4bb2a14d381be141d7d32021-02-01T00:00:00Zhttps://doi.org/10.1038/s41540-021-00173-xhttps://doaj.org/toc/2056-7189Abstract The GTPase Cdc42 is the master regulator of eukaryotic cell polarisation. During this process, the active form of Cdc42 is accumulated at a particular site on the cell membrane called the pole. It is believed that the accumulation of the active Cdc42 resulting in a pole is driven by a combination of activation–inactivation reactions and diffusion. It has been proposed using mathematical modelling that this is the result of diffusion-driven instability, originally proposed by Alan Turing. In this study, we developed, analysed and validated a 3D bulk-surface model of the dynamics of Cdc42. We show that the model can undergo both classic and non-classic Turing instability by deriving necessary conditions for which this occurs and conclude that the non-classic case can be viewed as a limit case of the classic case of diffusion-driven instability. Using three-dimensional Spatio-temporal simulation we predicted pole size and time to polarisation, suggesting that cell polarisation is mainly driven by the reaction strength parameter and that the size of the pole is determined by the relative diffusion.Johannes BorgqvistAdam MalikCarl LundholmAnders LoggPhilip GerleeMarija CvijovicNature PortfolioarticleBiology (General)QH301-705.5ENnpj Systems Biology and Applications, Vol 7, Iss 1, Pp 1-10 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Biology (General) QH301-705.5
spellingShingle	Biology (General) QH301-705.5 Johannes Borgqvist Adam Malik Carl Lundholm Anders Logg Philip Gerlee Marija Cvijovic Cell polarisation in a bulk-surface model can be driven by both classic and non-classic Turing instability
description	Abstract The GTPase Cdc42 is the master regulator of eukaryotic cell polarisation. During this process, the active form of Cdc42 is accumulated at a particular site on the cell membrane called the pole. It is believed that the accumulation of the active Cdc42 resulting in a pole is driven by a combination of activation–inactivation reactions and diffusion. It has been proposed using mathematical modelling that this is the result of diffusion-driven instability, originally proposed by Alan Turing. In this study, we developed, analysed and validated a 3D bulk-surface model of the dynamics of Cdc42. We show that the model can undergo both classic and non-classic Turing instability by deriving necessary conditions for which this occurs and conclude that the non-classic case can be viewed as a limit case of the classic case of diffusion-driven instability. Using three-dimensional Spatio-temporal simulation we predicted pole size and time to polarisation, suggesting that cell polarisation is mainly driven by the reaction strength parameter and that the size of the pole is determined by the relative diffusion.
format	article
author	Johannes Borgqvist Adam Malik Carl Lundholm Anders Logg Philip Gerlee Marija Cvijovic
author_facet	Johannes Borgqvist Adam Malik Carl Lundholm Anders Logg Philip Gerlee Marija Cvijovic
author_sort	Johannes Borgqvist
title	Cell polarisation in a bulk-surface model can be driven by both classic and non-classic Turing instability
title_short	Cell polarisation in a bulk-surface model can be driven by both classic and non-classic Turing instability
title_full	Cell polarisation in a bulk-surface model can be driven by both classic and non-classic Turing instability
title_fullStr	Cell polarisation in a bulk-surface model can be driven by both classic and non-classic Turing instability
title_full_unstemmed	Cell polarisation in a bulk-surface model can be driven by both classic and non-classic Turing instability
title_sort	cell polarisation in a bulk-surface model can be driven by both classic and non-classic turing instability
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/c4525d41d50d4bb2a14d381be141d7d3
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Cell polarisation in a bulk-surface model can be driven by both classic and non-classic Turing instability

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