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      Musculoskeletal modelling of the Nile crocodile ( Crocodylus niloticus) hindlimb: Effects of limb posture on leverage during terrestrial locomotion

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          Abstract

          We developed a three‐dimensional, computational biomechanical model of a juvenile Nile crocodile ( Crocodylus niloticus) pelvis and hindlimb, composed of 47 pelvic limb muscles, to investigate muscle function. We tested whether crocodiles, which are known to use a variety of limb postures during movement, use limb orientations (joint angles) that optimise the moment arms (leverages) or moment‐generating capacities of their muscles during different limb postures ranging from a high walk to a sprawling motion. We also describe the three‐dimensional (3D) kinematics of the crocodylian hindlimb during terrestrial locomotion across an instrumented walkway and a treadmill captured via X‐ray Reconstruction of Moving Morphology (biplanar fluoroscopy; ‘XROMM’). We reconstructed the 3D positions and orientations of each of the hindlimb bones and used dissection data for muscle lines of action to reconstruct a focal, subject‐specific 3D musculoskeletal model. Motion data for different styles of walking (a high, crouched, bended and two types of sprawling motion) were fed into the 3D model to identify whether any joints adopted near‐optimal poses for leverage across each of the behaviours. We found that (1) the hip adductors and knee extensors had their largest leverages during sprawling postures and (2) more erect postures typically involved greater peak moment arms about the hip (flexion‐extension), knee (flexion) and metatarsophalangeal (flexion) joints. The results did not fully support the hypothesis that optimal poses are present during different locomotory behaviours because the peak capacities were not always reached around mid‐stance phase. Furthermore, we obtained few clear trends for isometric moment‐generating capacities. Therefore, perhaps peak muscular leverage in Nile crocodiles is instead reached either in early/late stance or possibly during swing phase or other locomotory behaviours that were not studied here, such as non‐terrestrial movement. Alternatively, our findings could reflect a trade‐off between having to execute different postures, meaning that hindlimb muscle leverage is not optimised for any singular posture or behaviour. Our model, however, provides a comprehensive set of 3D estimates of muscle actions in extant crocodiles which can form a basis for investigating muscle function in extinct archosaurs.

          Abstract

          We created an open‐source computational 3D biomechanical model of the Nile crocodile hindlimb containing 47 digitally dissected muscles, permitting, for the first time, a comprehensive investigation into muscular leverage in each of the locomotory behaviours/postures used by crocodiles. Here we integrate data from three‐dimensional anatomy, 3D locomotor kinematics in vivo and 3D biomechanical modelling to quantify how Nile crocodiles move. We found that our results did not fully support the hypothesis that biomechanically optimal poses (in terms of leverage) are adopted during different locomotory behaviours in Nile crocodiles. Therefore, we infer that the wide range of locomotor behaviours used by crocodylians on land prohibits simple optimisation of muscle leverage to any single particular behaviour.

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          Most cited references122

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          OpenSim: open-source software to create and analyze dynamic simulations of movement.

          Dynamic simulations of movement allow one to study neuromuscular coordination, analyze athletic performance, and estimate internal loading of the musculoskeletal system. Simulations can also be used to identify the sources of pathological movement and establish a scientific basis for treatment planning. We have developed a freely available, open-source software system (OpenSim) that lets users develop models of musculoskeletal structures and create dynamic simulations of a wide variety of movements. We are using this system to simulate the dynamics of individuals with pathological gait and to explore the biomechanical effects of treatments. OpenSim provides a platform on which the biomechanics community can build a library of simulations that can be exchanged, tested, analyzed, and improved through a multi-institutional collaboration. Developing software that enables a concerted effort from many investigators poses technical and sociological challenges. Meeting those challenges will accelerate the discovery of principles that govern movement control and improve treatments for individuals with movement pathologies.
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            OpenSim: Simulating musculoskeletal dynamics and neuromuscular control to study human and animal movement

            Movement is fundamental to human and animal life, emerging through interaction of complex neural, muscular, and skeletal systems. Study of movement draws from and contributes to diverse fields, including biology, neuroscience, mechanics, and robotics. OpenSim unites methods from these fields to create fast and accurate simulations of movement, enabling two fundamental tasks. First, the software can calculate variables that are difficult to measure experimentally, such as the forces generated by muscles and the stretch and recoil of tendons during movement. Second, OpenSim can predict novel movements from models of motor control, such as kinematic adaptations of human gait during loaded or inclined walking. Changes in musculoskeletal dynamics following surgery or due to human–device interaction can also be simulated; these simulations have played a vital role in several applications, including the design of implantable mechanical devices to improve human grasping in individuals with paralysis. OpenSim is an extensible and user-friendly software package built on decades of knowledge about computational modeling and simulation of biomechanical systems. OpenSim’s design enables computational scientists to create new state-of-the-art software tools and empowers others to use these tools in research and clinical applications. OpenSim supports a large and growing community of biomechanics and rehabilitation researchers, facilitating exchange of models and simulations for reproducing and extending discoveries. Examples, tutorials, documentation, and an active user forum support this community. The OpenSim software is covered by the Apache License 2.0, which permits its use for any purpose including both nonprofit and commercial applications. The source code is freely and anonymously accessible on GitHub, where the community is welcomed to make contributions. Platform-specific installers of OpenSim include a GUI and are available on simtk.org.
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              Scaling body support in mammals: limb posture and muscle mechanics.

              The scaling of bone and muscle geometry in mammals suggests that peak stresses (ratio of force to cross-sectional area) acting in these two support elements increase with increasing body size. Observations of stresses acting in the limb bones of different sized mammals during strenuous activity, however, indicate that peak bone stress is independent of size (maintaining a safety factor of between 2 and 4). It appears that similar peak bone stresses and muscle stresses in large and small mammals are achieved primarily by a size-dependent change in locomotor limb posture: small animals run with crouched postures, whereas larger species run more upright. By adopting an upright posture, large animals align their limbs more closely with the ground reaction force, substantially reducing the forces that their muscles must exert (proportional to body mass) and hence, the forces that their bones must resist, to counteract joint moments. This change in limb posture to maintain locomotor stresses within safe limits, however, likely limits the maneuverability and accelerative capability of large animals.
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                Author and article information

                Contributors
                alwiseman@rvc.ac.uk
                Journal
                J Anat
                J Anat
                10.1111/(ISSN)1469-7580
                JOA
                Journal of Anatomy
                John Wiley and Sons Inc. (Hoboken )
                0021-8782
                1469-7580
                23 March 2021
                August 2021
                23 March 2021
                : 239
                : 2 ( doiID: 10.1111/joa.v239.2 )
                : 424-444
                Affiliations
                [ 1 ] Structure and Motion Laboratory Comparative Biomedical Sciences Royal Veterinary College Hatfield UK
                [ 2 ] Geosciences Program Queensland Museum Brisbane Qld Australia
                [ 3 ] Department of Organismic and Evolutionary Biology Harvard University Cambridge USA
                [ 4 ] Department of Earth Sciences University of Cambridge Cambridge UK
                [ 5 ] Hull York Medical School University of York York UK
                Author notes
                [*] [* ] Correspondence

                Ashleigh L. A. Wiseman, Structure and Motion Laboratory, Comparative Biomedical Sciences, Royal Veterinary College, Hatfield, UK.

                Email: alwiseman@ 123456rvc.ac.uk

                Author information
                https://orcid.org/0000-0002-9575-4387
                https://orcid.org/0000-0003-2702-0557
                https://orcid.org/0000-0003-4876-1311
                https://orcid.org/0000-0001-9509-4297
                https://orcid.org/0000-0002-6767-7038
                Article
                JOA13431
                10.1111/joa.13431
                8273584
                33754362
                d4f1cd38-6980-4341-9683-e0a132b8a500
                © 2021 The Authors. Journal of Anatomy published by John Wiley & Sons Ltd on behalf of Anatomical Society.

                This is an open access article under the terms of the http://creativecommons.org/licenses/by/4.0/ License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

                History
                : 02 March 2021
                : 28 October 2020
                : 04 March 2021
                Page count
                Figures: 10, Tables: 5, Pages: 21, Words: 16424
                Funding
                Funded by: H2020 European Research Council , doi 10.13039/100010663;
                Award ID: 695517
                Categories
                Original Paper
                Original Papers
                Custom metadata
                2.0
                August 2021
                Converter:WILEY_ML3GV2_TO_JATSPMC version:6.0.4 mode:remove_FC converted:12.07.2021

                Anatomy & Physiology
                anatomy,archosaur,biomechanics,locomotion,musculoskeletal modelling,posture,xromm
                Anatomy & Physiology
                anatomy, archosaur, biomechanics, locomotion, musculoskeletal modelling, posture, xromm

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