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      Directing Min protein patterns with advective bulk flow

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          Abstract

          The Min proteins constitute the best-studied model system for pattern formation in cell biology. We theoretically predict and experimentally show that the propagation direction of in vitro Min protein patterns can be controlled by a hydrodynamic flow of the bulk solution. We find downstream propagation of Min wave patterns for low MinE:MinD concentration ratios, upstream propagation for large ratios, but multistability of both propagation directions in between. Whereas downstream propagation can be described by a minimal model that disregards MinE conformational switching, upstream propagation can be reproduced by a reduced switch model, where increased MinD bulk concentrations on the upstream side promote protein attachment. Our study demonstrates that a differential flow, where bulk flow advects protein concentrations in the bulk, but not on the surface, can control surface-pattern propagation. This suggests that flow can be used to probe molecular features and to constrain mathematical models for pattern-forming systems.

          Abstract

          Meindlhumer et al. report a combined theoretical/experimental study of how the propagation direction of Min protein patterns can be altered by a bulk flow of solution.

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          Most cited references51

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          Cortical flows powered by asymmetrical contraction transport PAR proteins to establish and maintain anterior-posterior polarity in the early C. elegans embryo.

          The C. elegans PAR proteins PAR-3, PAR-6, and PKC-3 are asymmetrically localized and have essential roles in cell polarity. We show that the one-cell C. elegans embryo contains a dynamic and contractile actomyosin network that appears to be destabilized near the point of sperm entry. This asymmetry initiates a flow of cortical nonmuscle myosin (NMY-2) and F-actin toward the opposite, future anterior, pole. PAR-3, PAR-6, and PKC-3, as well as non-PAR proteins that associate with the cytoskeleton, appear to be transported to the anterior by this cortical flow. In turn, PAR-3, PAR-6, and PKC-3 modulate cortical actomyosin dynamics and promote cortical flow. PAR-2, which localizes to the posterior cortex, inhibits NMY-2 from accumulating at the posterior cortex during flow, thus maintaining asymmetry by preventing inappropriate, posterior-directed flows. Similar actomyosin flows accompany the establishment of PAR asymmetries that form after the one-cell stage, suggesting that actomyosin-mediated cortical flows have a general role in PAR asymmetry.
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            Spatial regulators for bacterial cell division self-organize into surface waves in vitro.

            In the bacterium Escherichia coli, the Min proteins oscillate between the cell poles to select the cell center as division site. This dynamic pattern has been proposed to arise by self-organization of these proteins, and several models have suggested a reaction-diffusion type mechanism. Here, we found that the Min proteins spontaneously formed planar surface waves on a flat membrane in vitro. The formation and maintenance of these patterns, which extended for hundreds of micrometers, required adenosine 5'-triphosphate (ATP), and they persisted for hours. We present a reaction-diffusion model of the MinD and MinE dynamics that accounts for our experimental observations and also captures the in vivo oscillations.
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              Rethinking pattern formation in reaction–diffusion systems

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                Author and article information

                Contributors
                frey@lmu.de
                Journal
                Nat Commun
                Nat Commun
                Nature Communications
                Nature Publishing Group UK (London )
                2041-1723
                27 January 2023
                27 January 2023
                2023
                : 14
                : 450
                Affiliations
                [1 ]GRID grid.5292.c, ISNI 0000 0001 2097 4740, Department of Bionanoscience, , Kavli Institute of Nanoscience Delft, Delft University of Technology, ; Delft, the Netherlands
                [2 ]GRID grid.5252.0, ISNI 0000 0004 1936 973X, Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience, Department of Physics, , Ludwig-Maximilians-Universität München, ; Munich, Germany
                [3 ]GRID grid.4372.2, ISNI 0000 0001 2105 1091, Max Planck School Matter to Life, ; Hofgartenstraße 8, 80539 Munich, Germany
                [4 ]GRID grid.133342.4, ISNI 0000 0004 1936 9676, Present Address: Kavli Institute for Theoretical Physics, , University of California Santa Barbara, ; Santa Barbara, CA 93106 USA
                Author information
                http://orcid.org/0000-0001-7607-0521
                http://orcid.org/0000-0003-4393-827X
                http://orcid.org/0000-0002-6184-7913
                http://orcid.org/0000-0001-6273-071X
                http://orcid.org/0000-0001-8792-3358
                Article
                35997
                10.1038/s41467-023-35997-0
                9883515
                36707506
                a8451132-0928-4c6d-bb45-3c7f0a791866
                © The Author(s) 2023

                Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

                History
                : 11 July 2022
                : 10 January 2023
                Funding
                Funded by: C.D. acknowledge support provided by the “BaSyC – Building a Synthetic Cell” Gravitation grant (024.003.019) of the Netherlands Ministry of Education, Culture and Science (OCW) and the Netherlands Organisation for Scientific Research (NWO). E.F. acknowledges support from the German Research Foundation DFG through Collaborative Research Center SFB 1032, Project- ID No. 201269156. E.F. acknowledges support from Germany’s Excellence Strategy, Excellence Cluster ORIGINS, EXC-2094-390783311. J.F. acknowledges the Ad Futura Scholarship (244. javni razpis) from the Public Scholarship, Development, Disability and Maintenance Fund of the Republic of Slovenia.
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                © The Author(s) 2023

                Uncategorized
                biological physics,computational biophysics
                Uncategorized
                biological physics, computational biophysics

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