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      Dynamic patterning by the Drosophila pair-rule network reconciles long-germ and short-germ segmentation

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      PLoS Biology
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          Abstract

          Drosophila segmentation is a well-established paradigm for developmental pattern formation. However, the later stages of segment patterning, regulated by the “pair-rule” genes, are still not well understood at the system level. Building on established genetic interactions, I construct a logical model of the Drosophila pair-rule system that takes into account the demonstrated stage-specific architecture of the pair-rule gene network. Simulation of this model can accurately recapitulate the observed spatiotemporal expression of the pair-rule genes, but only when the system is provided with dynamic “gap” inputs. This result suggests that dynamic shifts of pair-rule stripes are essential for segment patterning in the trunk and provides a functional role for observed posterior-to-anterior gap domain shifts that occur during cellularisation. The model also suggests revised patterning mechanisms for the parasegment boundaries and explains the aetiology of the even-skipped null mutant phenotype. Strikingly, a slightly modified version of the model is able to pattern segments in either simultaneous or sequential modes, depending only on initial conditions. This suggests that fundamentally similar mechanisms may underlie segmentation in short-germ and long-germ arthropods.

          Author summary

          Segmentation in insects involves the division of the body into several repetitive units. In Drosophila embryos, all segments are patterned rapidly and simultaneously during early development, in a process known as “long-germ” embryogenesis. In contrast, many insect embryos retain an ancestral or “short-germ” mode of development, in which segments are patterned sequentially, from head to tail, over a period of time. In both types of embryo, the patterning of segment boundaries is regulated by a network of so-called “pair-rule” genes. These networks are thought to be quite divergent due to the different expression patterns observed for the pair-rule genes in each case: regularly spaced arrays of transient stripes in Drosophila, and dynamic expression within a posterior “segment addition zone” in short-germ insects. However, even in Drosophila, a clear understanding of pair-rule patterning has been lacking. Here, I make a computational model of the Drosophila pair-rule network and use simulations to explore how segmentation works. Surprisingly, I find that Drosophila segment patterning relies on pair-rule gene expression moving across cells over time. This conclusion differs from older models of pair-rule patterning but is consistent with the subtly dynamic nature of pair-rule stripes in real embryos, previously described in quantitative studies. I conclude that long-germ and short-germ segmentation involve similar expression dynamics at the level of individual cells, even though they look very different at the level of whole tissues. This suggests that the gene networks involved may be much more conserved than previously thought.

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          NIH Image to ImageJ: 25 years of image analysis.

          For the past 25 years NIH Image and ImageJ software have been pioneers as open tools for the analysis of scientific images. We discuss the origins, challenges and solutions of these two programs, and how their history can serve to advise and inform other software projects.
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            The NumPy array: a structure for efficient numerical computation

            In the Python world, NumPy arrays are the standard representation for numerical data. Here, we show how these arrays enable efficient implementation of numerical computations in a high-level language. Overall, three techniques are applied to improve performance: vectorizing calculations, avoiding copying data in memory, and minimizing operation counts. We first present the NumPy array structure, then show how to use it for efficient computation, and finally how to share array data with other libraries.
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              A clock and wavefront model for control of the number of repeated structures during animal morphogenesis.

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                Author and article information

                Contributors
                Role: ConceptualizationRole: InvestigationRole: Writing – original draft
                Role: Academic Editor
                Journal
                PLoS Biol
                PLoS Biol
                plos
                plosbiol
                PLoS Biology
                Public Library of Science (San Francisco, CA USA )
                1544-9173
                1545-7885
                27 September 2017
                September 2017
                27 September 2017
                : 15
                : 9
                : e2002439
                Affiliations
                [001]Laboratory for Development and Evolution, Department of Zoology, University of Cambridge, Cambridge, United Kingdom
                New York University, United States of America
                Author notes

                The author has declared that no competing interests exist.

                Author information
                http://orcid.org/0000-0002-5588-796X
                Article
                pbio.2002439
                10.1371/journal.pbio.2002439
                5633203
                28953896
                5ef4e08d-1adf-444f-abc9-640e2f61bf46
                © 2017 Erik Clark

                This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

                History
                : 13 March 2017
                : 7 September 2017
                Page count
                Figures: 8, Tables: 0, Pages: 38
                Funding
                Isaac Newton Trust www.newtontrust.cam.ac.uk. Research grant. The funder had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript. Biotechnology and Biological Sciences Research Council www.bbsrc.ac.uk. Genes to Organisms PhD studentship. The funder had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.
                Categories
                Research Article
                Biology and Life Sciences
                Developmental Biology
                Embryology
                Embryos
                Biology and Life Sciences
                Genetics
                Gene Expression
                Research and Analysis Methods
                Experimental Organism Systems
                Model Organisms
                Drosophila Melanogaster
                Research and Analysis Methods
                Model Organisms
                Drosophila Melanogaster
                Research and Analysis Methods
                Experimental Organism Systems
                Animal Models
                Drosophila Melanogaster
                Biology and Life Sciences
                Organisms
                Eukaryota
                Animals
                Invertebrates
                Arthropoda
                Insects
                Drosophila
                Drosophila Melanogaster
                Biology and Life Sciences
                Developmental Biology
                Morphogenesis
                Morphogenic Segmentation
                Biology and Life Sciences
                Genetics
                Gene Identification and Analysis
                Genetic Networks
                Computer and Information Sciences
                Network Analysis
                Genetic Networks
                Biology and Life Sciences
                Genetics
                Gene Expression
                Gene Regulation
                Research and Analysis Methods
                Simulation and Modeling
                Research and Analysis Methods
                Cytogenetic Techniques
                Fluorescent in Situ Hybridization
                Biology and Life Sciences
                Molecular Biology
                Molecular Biology Techniques
                Molecular Probe Techniques
                Probe Hybridization
                Fluorescent in Situ Hybridization
                Research and Analysis Methods
                Molecular Biology Techniques
                Molecular Probe Techniques
                Probe Hybridization
                Fluorescent in Situ Hybridization
                Custom metadata
                vor-update-to-uncorrected-proof
                2017-10-09
                All relevant data are within the paper and its Supporting Information files. Additional expression data from wild-type embryos are held in the Dryad Digital Repository (DOI: http://dx.doi.org/10.5061/dryad.cg35k).

                Life sciences
                Life sciences

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