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      Computational analysis of size, shape and structure of insect wings

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          ABSTRACT

          The size, shape and structure of insect wings are intimately linked to their ability to fly. However, there are few systematic studies of the variability of the natural patterns in wing morphology across insects. We have assembled a dataset of 789 insect wings with representatives from 25 families and performed a comprehensive computational analysis of their morphology using topological and geometric notions in terms of (i) wing size and contour shape, (ii) vein topology, and (iii) shape and distribution of wing membrane domains. These morphospaces are complementary to existing methods for quantitatively characterizing wing morphology and are likely to be useful for investigating wing function and evolution. This Methods and Techniques paper is accompanied by a set of computational tools for open use.

          This article has an associated First Person interview with the first author of the paper .

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          Summary: We provide a set of simple quantitative measures to compare morphological variation in size, shape, and structure of insect wings across species, families and orders.

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          Functional Morphology of Insect Wings

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            Flexural stiffness in insect wings. I. Scaling and the influence of wing venation.

            During flight, many insect wings undergo dramatic deformations that are controlled largely by the architecture of the wing. The pattern of supporting veins in wings varies widely among insect orders and families, but the functional significance of phylogenetic trends in wing venation remains unknown, and measurements of the mechanical properties of wings are rare. In this study, we address the relationship between venation pattern and wing flexibility by measuring the flexural stiffness of wings (in both the spanwise and chordwise directions) and quantifying wing venation in 16 insect species from six orders. These measurements show that spanwise flexural stiffness scales strongly with the cube of wing span, whereas chordwise flexural stiffness scales with the square of chord length. Wing size accounts for over 95% of the variability in measured flexural stiffness; the residuals of this relationship are small and uncorrelated with standardized independent contrasts of wing venation characters. In all species tested, spanwise flexural stiffness is 1-2 orders of magnitude larger than chordwise flexural stiffness. A finite element model of an insect wing demonstrates that leading edge veins are crucial in generating this spanwise-chordwise anisotropy.
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              Equivalence between modularity optimization and maximum likelihood methods for community detection

              M. Newman (2016)
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                Author and article information

                Journal
                Biol Open
                Biol Open
                BIO
                biolopen
                Biology Open
                The Company of Biologists Ltd
                2046-6390
                15 October 2019
                15 October 2019
                15 October 2019
                : 8
                : 10
                : bio040774
                Affiliations
                [1 ]Department of Organismic and Evolutionary Biology, Harvard University , Cambridge, MA 02138, USA
                [2 ]School of Engineering and Applied Sciences, Harvard University , Cambridge, MA 02138, USA
                [3 ]Department of Molecular Genetics and Cell Biology, University of Chicago , Chicago, IL 60637, USA
                [4 ]Department of Physics, Harvard University , Cambridge, MA 02138, USA
                [5 ]Kavli Institute for Nanobio Science and Technology, Harvard University , Cambridge, MA 02138, USA
                Author notes
                [*]

                These authors contributed equally to this work

                []Author for correspondence ( Lmahadev@ 123456g.harvard.edu )
                Author information
                http://orcid.org/0000-0002-5114-0519
                Article
                BIO040774
                10.1242/bio.040774
                6826288
                31628142
                ed4eacba-bc28-489f-bbb4-f43ea5af2e04
                © 2019. Published by The Company of Biologists Ltd

                This is an Open Access article distributed under the terms of the Creative Commons Attribution License ( https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution and reproduction in any medium provided that the original work is properly attributed.

                History
                : 3 December 2018
                : 2 September 2019
                Funding
                Funded by: Harvard University;
                Award ID: 1764269
                Funded by: NSF;
                Categories
                Methods and Techniques

                Life sciences
                image quantification,wing morphology,phenotyping
                Life sciences
                image quantification, wing morphology, phenotyping

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