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      Self-organization principles of intracellular pattern formation

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          Abstract

          Dynamic patterning of specific proteins is essential for the spatio-temporal regulation of many important intracellular processes in prokaryotes, eukaryotes and multicellular organisms. The emergence of patterns generated by interactions of diffusing proteins is a paradigmatic example for self-organization. In this article, we review quantitative models for intracellular Min protein patterns in Escherichia coli, Cdc42 polarization in Saccharomyces cerevisiae and the bipolar PAR protein patterns found in Caenorhabditis elegans. By analysing the molecular processes driving these systems we derive a theoretical perspective on general principles underlying self-organized pattern formation. We argue that intracellular pattern formation is not captured by concepts such as ‘activators’, ‘inhibitors’ or ‘substrate depletion’. Instead, intracellular pattern formation is based on the redistribution of proteins by cytosolic diffusion, and the cycling of proteins between distinct conformational states. Therefore, mass-conserving reaction–diffusion equations provide the most appropriate framework to study intracellular pattern formation. We conclude that directed transport, e.g. cytosolic diffusion along an actively maintained cytosolic gradient, is the key process underlying pattern formation. Thus the basic principle of self-organization is the establishment and maintenance of directed transport by intracellular protein dynamics.

          This article is part of the theme issue ‘Self-organization in cell biology’.

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          Pattern formation outside of equilibrium

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            Reaction-diffusion model as a framework for understanding biological pattern formation.

            The Turing, or reaction-diffusion (RD), model is one of the best-known theoretical models used to explain self-regulated pattern formation in the developing animal embryo. Although its real-world relevance was long debated, a number of compelling examples have gradually alleviated much of the skepticism surrounding the model. The RD model can generate a wide variety of spatial patterns, and mathematical studies have revealed the kinds of interactions required for each, giving this model the potential for application as an experimental working hypothesis in a wide variety of morphological phenomena. In this review, we describe the essence of this theory for experimental biologists unfamiliar with the model, using examples from experimental studies in which the RD model is effectively incorporated.
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              Regular pattern formation in real ecosystems.

              Localized ecological interactions can generate striking large-scale spatial patterns in ecosystems through spatial self-organization. Possible mechanisms include oscillating consumer-resource interactions, localized disturbance-recovery processes and scale-dependent feedback. Despite abundant theoretical literature, studies revealing spatial self-organization in real ecosystems are limited. Recently, however, many examples of regular pattern formation have been discovered, supporting the importance of scale-dependent feedback. Here, we review these studies, showing regular pattern formation to be a general phenomenon rather than a peculiarity. We provide a conceptual framework explaining how scale-dependent feedback determines regular pattern formation in ecosystems. More empirical studies are needed to better understand regular pattern formation in ecosystems, and how this affects the response of ecosystems to global environmental change.
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                Author and article information

                Journal
                Philos Trans R Soc Lond B Biol Sci
                Philos. Trans. R. Soc. Lond., B, Biol. Sci
                RSTB
                royptb
                Philosophical Transactions of the Royal Society B: Biological Sciences
                The Royal Society
                0962-8436
                1471-2970
                26 May 2018
                9 April 2018
                9 April 2018
                : 373
                : 1747 , Theme issue ‘Self-organization in cell biology’ compiled and edited by Timo Betz and Roland Wedlich-Söldner
                : 20170107
                Affiliations
                Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience, Department of Physics, Ludwig-Maximilians-Universität München , Theresienstraße 37, D-80333 München, Germany
                Author notes

                One contribution of 15 to a theme issue ‘ Self-organization in cell biology’.

                Author information
                http://orcid.org/0000-0001-8792-3358
                Article
                rstb20170107
                10.1098/rstb.2017.0107
                5904295
                29632261
                19eb4443-68b7-44a3-b27f-96a89e18774b
                © 2018 The Authors.

                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.

                History
                : 9 February 2018
                Funding
                Funded by: Deutsche Forschungsgemeinschaft, http://dx.doi.org/10.13039/501100001659;
                Award ID: GRK 2062
                Award ID: NIM
                Award ID: SFB 1032
                Award ID: TRR 174
                Categories
                1001
                30
                33
                181
                Articles
                Review Article
                Custom metadata
                May 26, 2018

                Philosophy of science
                self-organization,pattern formation,intracellular patterns,reaction–diffusion,cellpolarity,ntpases

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