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class="vector-toc-numb">2</span> <span>Quantifying locomotion</span> </div> </a> <button aria-controls="toc-Quantifying_locomotion-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Quantifying locomotion subsection</span> </button> <ul id="toc-Quantifying_locomotion-sublist" class="vector-toc-list"> <li id="toc-Walking" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Walking"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Walking</span> </div> </a> <ul id="toc-Walking-sublist" class="vector-toc-list"> <li id="toc-Intralimb_kinematic_parameters:[3][1][2][4][5]" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Intralimb_kinematic_parameters:[3][1][2][4][5]"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1.1</span> <span>Intralimb kinematic parameters:<sup><span>[</span>3<span>]</span></sup><sup><span>[</span>1<span>]</span></sup><sup><span>[</span>2<span>]</span></sup><sup><span>[</span>4<span>]</span></sup><sup><span>[</span>5<span>]</span></sup></span> </div> </a> <ul id="toc-Intralimb_kinematic_parameters:[3][1][2][4][5]-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Interlimb_kinematic_parameters" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Interlimb_kinematic_parameters"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1.2</span> <span>Interlimb kinematic parameters</span> </div> </a> <ul id="toc-Interlimb_kinematic_parameters-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Measures_of_walking_stability" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Measures_of_walking_stability"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1.3</span> <span>Measures of walking stability</span> </div> </a> <ul id="toc-Measures_of_walking_stability-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Analyzing_kinematics_across_steps" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Analyzing_kinematics_across_steps"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1.4</span> <span>Analyzing kinematics across steps</span> </div> </a> <ul id="toc-Analyzing_kinematics_across_steps-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Speed-dependent_kinematic_changes" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Speed-dependent_kinematic_changes"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1.5</span> <span>Speed-dependent kinematic changes</span> </div> </a> <ul id="toc-Speed-dependent_kinematic_changes-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Flight" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Flight"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2</span> <span>Flight</span> </div> </a> <ul id="toc-Flight-sublist" class="vector-toc-list"> <li id="toc-Angles_to_quantify_wing_orientation" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Angles_to_quantify_wing_orientation"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2.1</span> <span>Angles to quantify wing orientation</span> </div> </a> <ul id="toc-Angles_to_quantify_wing_orientation-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Kinematic_parameters" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Kinematic_parameters"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2.2</span> <span>Kinematic parameters</span> </div> </a> <ul id="toc-Kinematic_parameters-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Aerodynamic_parameters" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Aerodynamic_parameters"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2.3</span> <span>Aerodynamic parameters</span> </div> </a> <ul id="toc-Aerodynamic_parameters-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Swimming" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Swimming"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.3</span> <span>Swimming</span> </div> </a> <ul id="toc-Swimming-sublist" class="vector-toc-list"> <li id="toc-Fin_and_flipper_locomotion" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Fin_and_flipper_locomotion"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.3.1</span> <span>Fin and flipper locomotion</span> </div> </a> <ul id="toc-Fin_and_flipper_locomotion-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Jet_propulsion" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Jet_propulsion"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.3.2</span> <span>Jet propulsion</span> </div> </a> <ul id="toc-Jet_propulsion-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> </ul> </li> <li id="toc-Methods_of_study" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Methods_of_study"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Methods of study</span> </div> </a> <ul id="toc-Methods_of_study-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Modeling_animal_locomotion" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Modeling_animal_locomotion"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Modeling animal locomotion</span> </div> </a> <button aria-controls="toc-Modeling_animal_locomotion-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Modeling animal locomotion subsection</span> </button> <ul id="toc-Modeling_animal_locomotion-sublist" class="vector-toc-list"> <li id="toc-Neuromechanical_models" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Neuromechanical_models"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1</span> <span>Neuromechanical models</span> </div> </a> <ul id="toc-Neuromechanical_models-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-References" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#References"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>References</span> </div> </a> <ul id="toc-References-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> 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//upload.wikimedia.org/wikipedia/en/thumb/f/f2/Edit-clear.svg/80px-Edit-clear.svg.png 2x" data-file-width="48" data-file-height="48" /></span></span></div></td><td class="mbox-text"><div class="mbox-text-span">This article may <b>require <a href="/wiki/Wikipedia:Cleanup" title="Wikipedia:Cleanup">cleanup</a></b> to meet Wikipedia's <a href="/wiki/Wikipedia:Manual_of_Style" title="Wikipedia:Manual of Style">quality standards</a>. The specific problem is: <b>the article is full of unusual formatting (e.g. underscore, boldface in text) and structured as lists rather than prose.</b><span class="hide-when-compact"> Please help <a href="/wiki/Special:EditPage/Study_of_animal_locomotion" title="Special:EditPage/Study of animal locomotion">improve this article</a> if you can.</span> <span class="date-container"><i>(<span class="date">November 2020</span>)</i></span><span class="hide-when-compact"><i> (<small><a href="/wiki/Help:Maintenance_template_removal" title="Help:Maintenance template removal">Learn how and when to remove this message</a></small>)</i></span></div></td></tr></tbody></table> <p>The <b>study of animal locomotion</b> is a branch of biology that investigates and quantifies <a href="/wiki/Animal_locomotion" title="Animal locomotion">how animals move</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Kinematics">Kinematics</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Study_of_animal_locomotion&action=edit&section=1" title="Edit section: Kinematics"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Kinematics" title="Kinematics">Kinematics</a> is the study of how objects move, whether they are mechanical or living. In <a href="/wiki/Animal_locomotion" title="Animal locomotion">animal locomotion</a>, kinematics is used to describe the motion of the body and limbs of an animal. The goal is ultimately to understand how the movement of individual limbs relates to the overall movement of an animal within its environment. Below highlights the key kinematic parameters used to quantify body and limb movement for different modes of animal locomotion. </p> <div class="mw-heading mw-heading2"><h2 id="Quantifying_locomotion">Quantifying locomotion</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Study_of_animal_locomotion&action=edit&section=2" title="Edit section: Quantifying locomotion"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Walking">Walking</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Study_of_animal_locomotion&action=edit&section=3" title="Edit section: Walking"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Legged locomotion is the dominant form of <a href="/wiki/Terrestrial_locomotion" title="Terrestrial locomotion">terrestrial locomotion</a>, the movement on land. The motion of limbs is quantified by the kinematics of the limb itself (intralimb kinematics) and the coordination between limbs (interlimb kinematics).<sup id="cite_ref-:0_1-0" class="reference"><a href="#cite_note-:0-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-:1_2-0" class="reference"><a href="#cite_note-:1-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p> <figure class="mw-halign-none" typeof="mw:File/Thumb"><a href="/wiki/File:Classification_of_Swing_and_Stance.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/97/Classification_of_Swing_and_Stance.png/545px-Classification_of_Swing_and_Stance.png" decoding="async" width="545" height="184" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/97/Classification_of_Swing_and_Stance.png/818px-Classification_of_Swing_and_Stance.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/97/Classification_of_Swing_and_Stance.png/1090px-Classification_of_Swing_and_Stance.png 2x" data-file-width="2068" data-file-height="699" /></a><figcaption>Figure 1. Classifying stance and swing transitions of the front right (red) and left (blue) legs of a fly. The onset of stance (black dot) occurs at the peaks of the leg position signal, whereas, the onset of swing (light blue dot) occurs at the troughs.</figcaption></figure> <p>To quantify the intralimb kinematics and interlimb coordination during walking, the stance and swing phases of the step cycle must be isolated.<sup id="cite_ref-:1_2-1" class="reference"><a href="#cite_note-:1-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-:2_3-0" class="reference"><a href="#cite_note-:2-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-:3_4-0" class="reference"><a href="#cite_note-:3-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-:4_5-0" class="reference"><a href="#cite_note-:4-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> Stance is associated with the portion of the step where the leg contacts the ground, whereas, swing is where the leg lifts off the ground and moves forward along the body. High-speed videography is used to record the motion of the legs. <a href="/wiki/3D_pose_estimation" title="3D pose estimation">Pose-estimation</a> methods are then used to track key point(s) on each leg, typically at the joints of the leg.<sup id="cite_ref-:5_6-0" class="reference"><a href="#cite_note-:5-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-pk_8-0" class="reference"><a href="#cite_note-pk-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup> After extracting the positions of each leg throughout a recording, there are several ways of determining the stance and swing phases of the step cycle. One approach involves using peak and trough detection of the leg tip positions in ego-centric coordinates and after the animal has been aligned to a common heading (Fig. 1). Alternatively, swing and stance can be classified as leg tip velocities above and below a chosen threshold, respectively. In this case, leg tip velocities are calculated in allocentric, or world-oriented, coordinates. Once swing and stance phases are determined, the following kinematic and coordination parameters can be calculated. </p> <div class="mw-heading mw-heading4"><h4 id="Intralimb_kinematic_parameters:[3][1][2][4][5]"><span id="Intralimb_kinematic_parameters:.5B3.5D.5B1.5D.5B2.5D.5B4.5D.5B5.5D"></span>Intralimb kinematic parameters:<sup id="cite_ref-:2_3-1" class="reference"><a href="#cite_note-:2-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-:0_1-1" class="reference"><a href="#cite_note-:0-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-:1_2-2" class="reference"><a href="#cite_note-:1-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-:3_4-1" class="reference"><a href="#cite_note-:3-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-:4_5-1" class="reference"><a href="#cite_note-:4-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup></h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Study_of_animal_locomotion&action=edit&section=4" title="Edit section: Intralimb kinematic parameters:[3][1][2][4][5]"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Anterior Extreme Position (AEP): the forwardmost position of the leg (i.e. usually the start of stance phase).</li> <li>Posterior Extreme Position (PEP): the rearmost position of the leg (i.e. usually the start of swing phase).</li> <li>Step duration: elapsed time between two onsets of stance.</li> <li>Step frequency: inverse of stride duration (i.e. number of strides per second)</li> <li>Stance duration: time elapsed between stance onset and swing onset.</li> <li>Swing duration: time elapsed between swing onset and the subsequent stance onset .</li> <li>Step amplitude: the distance a leg travels during swing in a ego-centric reference frame.</li> <li>Step length: the distance from the stance onset to stance onset in a world reference frame.</li> <li>Stride range of motion: the leg's integrated path between stance onset and swing offset.</li> <li>Joint angles: Walking can also be quantified through the analysis of joint angles.<sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-12" class="reference"><a href="#cite_note-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> During legged locomotion, an animal flexes and extends its joints in an oscillatory manner, creating a joint angle pattern that repeats across steps. The following are some useful joint angle analyses for characterizing walking:</li> <li>Joint angle trace: a trace of the angles that a joint exhibits during walking.</li> <li>Joint angle distribution: the distribution of angles of a joint.</li> <li>Joint angle extremes: the maximum (extension) and minimum (flexion) angle of a joint during walking.</li> <li>Joint angle variability across steps: the variability between joint angle traces of several steps.</li></ul> <div class="mw-heading mw-heading4"><h4 id="Interlimb_kinematic_parameters">Interlimb kinematic parameters</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Study_of_animal_locomotion&action=edit&section=5" title="Edit section: Interlimb kinematic parameters"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Phase offsets: the lag of a leg relative to the stride period of a reference leg.</li> <li>Number of legs in stance: The number of legs in stance at a single point in time.</li> <li>Tripod coordination strength (TCS): specific to hexapod interlimb coordination, this parameter determines how much the interlimb coordination resembles the canonical tripod gait. TCS is calculated as the ratio of the total time legs belonging to a tripod (i.e. left front, middle right, and hind left legs, or vice versa) are in swing together, by the time elapsed between the first leg of the tripod that enters swing and the last leg of the same tripod that exits swing.</li> <li>Relationship between several joint angles: the relative angles of two joints, either from the same leg or between legs. For example, the angle of a human's left femur-tibia (knee) joint when the right femur-tibia joint is at its most flexed or extended angle.</li></ul> <div class="mw-heading mw-heading4"><h4 id="Measures_of_walking_stability">Measures of walking stability</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Study_of_animal_locomotion&action=edit&section=6" title="Edit section: Measures of walking stability"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Static stability: minimum distance from the <a href="/wiki/Center_of_mass" title="Center of mass">center of mass</a> (COM) to any edge of the <a href="/wiki/Support_polygon" title="Support polygon">support polygon</a> created by the legs in stance for each moment in time.<sup id="cite_ref-13" class="reference"><a href="#cite_note-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> A walking animal is statically stable if there are enough legs to form the support polygon (i.e. 3 or more) and the COM is within the support polygon. Moreover, static stability is at its maximum when it lies at the center of the support polygon. Steps to calculate static stability are as follows: </p> <ol><li>Find which legs are in stance and the location of the center of mass. Note, if there are less than 3 legs in stance then the animal is not statically stable.</li> <li>Form the support polygon by creating edges between these legs in a clock-wise manner.</li> <li>Determine if the center of mass lies inside or outside of the support polygon. The <a href="/wiki/Point_in_polygon" title="Point in polygon">ray casting algorithm</a> is a common approach of finding if a point is located within a polygon. If the center of mass is outside of the polygon then the animal is statically unstable.</li> <li>If the center of mass is inside the support polygon, calculate static stability by computing the minimum distance of the center of mass to any edge of the polygon.</li></ol> <p>Dynamic stability: dictates the degree to which deviations from periodic movement during walking will result in instability.<sup id="cite_ref-14" class="reference"><a href="#cite_note-14"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading4"><h4 id="Analyzing_kinematics_across_steps">Analyzing kinematics across steps</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Study_of_animal_locomotion&action=edit&section=7" title="Edit section: Analyzing kinematics across steps"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Quantifying walking often involves assessing the kinematics of individual steps. For more information on methods for acquiring this data, see Methods of Study. The first task is to parse walking data into individual steps. Methods for parsing individual steps from walking data rely heavily on the data collection process. At a high-level, walking data should be periodic with each cycle reflecting the movements of one step, and steps can therefore be parsed at the peaks of the signal. It is often useful to compare or pool step data. One difficulty in this pursuit is the variable length of steps both within and between legs. There are many ways to align steps, the following are a few useful methods. </p> <ul><li>Stretch step: steps of variable durations may be stretched to the same duration.</li> <li>Step <a href="/wiki/Phase_(waves)" title="Phase (waves)">phase</a>: the phase of each step can be computed which quantifies how far through the step each data point is. This normalizes the data by step length, allowing data from steps of variable lengths to be compared. The <a href="/wiki/Hilbert_transform" title="Hilbert transform">Hilbert transform</a> may be used to calculate phase, however a manual phase calculation may be better for aligning peak (swing and stance start) alignment.</li></ul> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Karashchuk_et_al_2021_fly_umap.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/26/Karashchuk_et_al_2021_fly_umap.png/220px-Karashchuk_et_al_2021_fly_umap.png" decoding="async" width="220" height="92" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/26/Karashchuk_et_al_2021_fly_umap.png/330px-Karashchuk_et_al_2021_fly_umap.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/26/Karashchuk_et_al_2021_fly_umap.png/440px-Karashchuk_et_al_2021_fly_umap.png 2x" data-file-width="482" data-file-height="202" /></a><figcaption>UMAP embedding of leg joint angle kinematics in walking fruit flies. The variability across individual flies is shown by their distinct clustering (C), yet their coordination patterns are similar (D).<sup id="cite_ref-pk_8-1" class="reference"><a href="#cite_note-pk-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup></figcaption></figure> <p>Fruit flies have six legs and four joints per leg with many joints moving in multiple planes. Thus, there are many kinematic degrees of freedom. Therefore, the continuous variability in coordination patterns across walking speeds and across individual flies can be visualized in a low dimensional embedding,<sup id="cite_ref-pk_8-2" class="reference"><a href="#cite_note-pk-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> using techniques such as <a href="/wiki/Principal_component_analysis" title="Principal component analysis">principal components analysis</a> and <a href="/wiki/Nonlinear_dimensionality_reduction#Uniform_manifold_approximation_and_projection" title="Nonlinear dimensionality reduction">UMAP</a>. </p><p>In addition to stability, the robustness of a walking gait is also thought to be important in determining the gait of a fly at a particular walking speed. Robustness refers to how much offset in the timing of a legs stance can be tolerated before the fly becomes statically unstable. For instance, a robust gait may be particularly important when traversing uneven terrain, as it may cause unexpected disruptions in leg coordination. Using a robust gait would help the fly maintain stability in this case. Analyses suggest that flies may exhibit a compromise between the most stable and most robust gait at a given walking speed.<sup id="cite_ref-15" class="reference"><a href="#cite_note-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading4"><h4 id="Speed-dependent_kinematic_changes">Speed-dependent kinematic changes</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Study_of_animal_locomotion&action=edit&section=8" title="Edit section: Speed-dependent kinematic changes"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Many animals alter walking kinematics as they modulate walking speed.<sup id="cite_ref-16" class="reference"><a href="#cite_note-16"><span class="cite-bracket">[</span>16<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-17" class="reference"><a href="#cite_note-17"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-18" class="reference"><a href="#cite_note-18"><span class="cite-bracket">[</span>18<span class="cite-bracket">]</span></a></sup> An interlimb kinematic parameter that is commonly speed dependent is gait, the stepping pattern across legs. While some animals alternate between distinct gaits as a function of speed,<sup id="cite_ref-19" class="reference"><a href="#cite_note-19"><span class="cite-bracket">[</span>19<span class="cite-bracket">]</span></a></sup> others move along a continuum of gaits.<sup id="cite_ref-20" class="reference"><a href="#cite_note-20"><span class="cite-bracket">[</span>20<span class="cite-bracket">]</span></a></sup> Similarly, animals commonly modulate intralimb parameters across speed. For example, fruit flies decrease stance duration and increase step length as forward speed increases.<sup id="cite_ref-21" class="reference"><a href="#cite_note-21"><span class="cite-bracket">[</span>21<span class="cite-bracket">]</span></a></sup> Importantly, kinematics are not only modulated across forward velocity, but also rotational and sideslip velocities.<sup id="cite_ref-22" class="reference"><a href="#cite_note-22"><span class="cite-bracket">[</span>22<span class="cite-bracket">]</span></a></sup> In these cases, asymmetry in the modulation between left and right legs is common. </p> <div class="mw-heading mw-heading3"><h3 id="Flight">Flight</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Study_of_animal_locomotion&action=edit&section=9" title="Edit section: Flight"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Aerial_locomotion" class="mw-redirect" title="Aerial locomotion">Aerial locomotion</a> is a form of movement used by many organisms and is typically powered by at least one pair of wings. Some organisms, however, have other morphological features that allow them to glide. There are many different flight modes, such as takeoff, hovering, soaring, and landing.<sup id="cite_ref-takeoff-landing-berg_23-0" class="reference"><a href="#cite_note-takeoff-landing-berg-23"><span class="cite-bracket">[</span>23<span class="cite-bracket">]</span></a></sup> Quantifying wing movements during these flight modes will provide insight about the body and wing maneuvers that are required to execute these behaviors.<sup id="cite_ref-takeoff-landing-berg_23-1" class="reference"><a href="#cite_note-takeoff-landing-berg-23"><span class="cite-bracket">[</span>23<span class="cite-bracket">]</span></a></sup> Wing orientation is quantified throughout the flight cycle by three angles that are defined in a coordinate system relative to the base of the wing.<sup id="cite_ref-wing-kinematics-cheng_24-0" class="reference"><a href="#cite_note-wing-kinematics-cheng-24"><span class="cite-bracket">[</span>24<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-drosophila-aerodynamics-fry_25-0" class="reference"><a href="#cite_note-drosophila-aerodynamics-fry-25"><span class="cite-bracket">[</span>25<span class="cite-bracket">]</span></a></sup> The magnitude of these three angles are often compared for upstrokes and downstrokes.<sup id="cite_ref-wing-kinematics-cheng_24-1" class="reference"><a href="#cite_note-wing-kinematics-cheng-24"><span class="cite-bracket">[</span>24<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-drosophila-aerodynamics-fry_25-1" class="reference"><a href="#cite_note-drosophila-aerodynamics-fry-25"><span class="cite-bracket">[</span>25<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-dragonfly-flight-ruppel_26-0" class="reference"><a href="#cite_note-dragonfly-flight-ruppel-26"><span class="cite-bracket">[</span>26<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-drosophila-flight-fontaine_27-0" class="reference"><a href="#cite_note-drosophila-flight-fontaine-27"><span class="cite-bracket">[</span>27<span class="cite-bracket">]</span></a></sup> In addition, kinematic parameters are used to characterize the flight cycle, which consists of an upstroke and a downstroke.<sup id="cite_ref-wing-kinematics-cheng_24-2" class="reference"><a href="#cite_note-wing-kinematics-cheng-24"><span class="cite-bracket">[</span>24<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-dragonfly-flight-ruppel_26-1" class="reference"><a href="#cite_note-dragonfly-flight-ruppel-26"><span class="cite-bracket">[</span>26<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-drosophila-flight-fontaine_27-1" class="reference"><a href="#cite_note-drosophila-flight-fontaine-27"><span class="cite-bracket">[</span>27<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-drosophila-aerodynamics-fry_25-2" class="reference"><a href="#cite_note-drosophila-aerodynamics-fry-25"><span class="cite-bracket">[</span>25<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Aerodynamics" title="Aerodynamics">Aerodynamics</a> are often considered when quantifying aerial locomotion, as aerodynamic forces (e.g. lift or drag) are able to influence flight performance.<sup id="cite_ref-reynolds-birch_28-0" class="reference"><a href="#cite_note-reynolds-birch-28"><span class="cite-bracket">[</span>28<span class="cite-bracket">]</span></a></sup> Key parameters from these three categories are defined as follows: </p> <div class="mw-heading mw-heading4"><h4 id="Angles_to_quantify_wing_orientation">Angles to quantify wing orientation</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Study_of_animal_locomotion&action=edit&section=10" title="Edit section: Angles to quantify wing orientation"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Wing orientation is described in the coordinate system centered at the wing hinge.<sup id="cite_ref-wing-kinematics-cheng_24-3" class="reference"><a href="#cite_note-wing-kinematics-cheng-24"><span class="cite-bracket">[</span>24<span class="cite-bracket">]</span></a></sup> The x-y plane coincides with the stroke plane, the plane parallel to the plane that contains both wing tips and is centered at the wing base.<sup id="cite_ref-wing-kinematics-cheng_24-4" class="reference"><a href="#cite_note-wing-kinematics-cheng-24"><span class="cite-bracket">[</span>24<span class="cite-bracket">]</span></a></sup> Assuming the wing can modeled by the vector passing through the wing base and wing tip, the following angles describe the orientation of the wing:<sup id="cite_ref-wing-kinematics-cheng_24-5" class="reference"><a href="#cite_note-wing-kinematics-cheng-24"><span class="cite-bracket">[</span>24<span class="cite-bracket">]</span></a></sup> </p> <ul><li>Stroke position: angle describing the anterior-to-posterior motion of the wings relative to the stroke plane. This angle is computed as the projection of the wing vector onto the stroke plane.</li> <li>Stroke deviation: angle describing the vertical amplitude of the wings relative to the stroke plane. This angle is defined as the angle between the wing vector and its projection onto the stroke plane.</li> <li>Angle of attack: angular orientation of the wings (i.e. tilt) relative to the stroke plane. This angle is computed as the angle between the wing cross section vector and the stroke plane.</li></ul> <div class="mw-heading mw-heading4"><h4 id="Kinematic_parameters">Kinematic parameters</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Study_of_animal_locomotion&action=edit&section=11" title="Edit section: Kinematic parameters"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Upstroke amplitude: angular distance through which the wings travel during an upstroke.</li> <li>Downstroke amplitude: angular distance through which the wings travel during a downstroke.</li> <li>Stroke duration: time elapsed between the onset of two consecutive upstrokes.</li> <li>Wingbeat frequency: inverse of stroke duration. The number of wingbeats per second.</li> <li>Flight distance per wingbeat: the distance covered during each wingbeat.</li> <li>Upstroke duration: time elapsed between the onset of an upstroke and the onset of a downstroke.</li> <li>Downstroke duration: time elapsed between the onset of a downstroke and the onset of an upstroke.</li> <li>Phase: if an organism has both front and hind wings, the lag of a wing pair relative to the other (reference) wing pair.</li></ul> <div class="mw-heading mw-heading4"><h4 id="Aerodynamic_parameters">Aerodynamic parameters</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Study_of_animal_locomotion&action=edit&section=12" title="Edit section: Aerodynamic parameters"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Reynolds_number" title="Reynolds number">Reynolds number</a>: ratio of inertial forces to viscous forces. This metric helps describe how wing performance changes with body size.<sup id="cite_ref-reynolds-birch_28-1" class="reference"><a href="#cite_note-reynolds-birch-28"><span class="cite-bracket">[</span>28<span class="cite-bracket">]</span></a></sup></li></ul> <div class="mw-heading mw-heading3"><h3 id="Swimming">Swimming</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Study_of_animal_locomotion&action=edit&section=13" title="Edit section: Swimming"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Aquatic_locomotion" title="Aquatic locomotion">Aquatic locomotion</a> is incredibly diverse, ranging from flipper and fin based movement<sup id="cite_ref-29" class="reference"><a href="#cite_note-29"><span class="cite-bracket">[</span>29<span class="cite-bracket">]</span></a></sup> to jet propulsion.<sup id="cite_ref-:9_30-0" class="reference"><a href="#cite_note-:9-30"><span class="cite-bracket">[</span>30<span class="cite-bracket">]</span></a></sup> Below are some common methods for characterizing swimming: </p> <div class="mw-heading mw-heading4"><h4 id="Fin_and_flipper_locomotion">Fin and flipper locomotion</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Study_of_animal_locomotion&action=edit&section=14" title="Edit section: Fin and flipper locomotion"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Body, tail, or fin angle: the curvature of the body or displacement of a fin or flipper.<sup id="cite_ref-31" class="reference"><a href="#cite_note-31"><span class="cite-bracket">[</span>31<span class="cite-bracket">]</span></a></sup> </p><p>Tail or fin frequency: the frequency of a fin or tail completing one movement cycle. </p> <div class="mw-heading mw-heading4"><h4 id="Jet_propulsion">Jet propulsion</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Study_of_animal_locomotion&action=edit&section=15" title="Edit section: Jet propulsion"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Jet propulsion consists of two phases - a refill phase during which an animal fills a cavity with water, and a contraction phase when they squeeze water out of the cavity to push them in the opposite direction. The size of the cavity can be measured in these two phases to compare the amount of water cycled through each propulsion.<sup id="cite_ref-:9_30-1" class="reference"><a href="#cite_note-:9-30"><span class="cite-bracket">[</span>30<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Methods_of_study">Methods of study</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Study_of_animal_locomotion&action=edit&section=16" title="Edit section: Methods of study"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File/Thumb"><span><video id="mwe_player_0" poster="//upload.wikimedia.org/wikipedia/commons/thumb/6/62/Cheetahs_on_the_Edge_%28Director%27s_Cut%29.ogv/250px--Cheetahs_on_the_Edge_%28Director%27s_Cut%29.ogv.jpg" controls="" preload="none" data-mw-tmh="" class="mw-file-element" width="250" height="141" data-durationhint="427" data-mwtitle="Cheetahs_on_the_Edge_(Director's_Cut).ogv" data-mwprovider="wikimediacommons" resource="/wiki/File:Cheetahs_on_the_Edge_(Director%27s_Cut).ogv"><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/6/62/Cheetahs_on_the_Edge_%28Director%27s_Cut%29.ogv/Cheetahs_on_the_Edge_%28Director%27s_Cut%29.ogv.480p.vp9.webm" type="video/webm; codecs="vp9, opus"" data-transcodekey="480p.vp9.webm" data-width="854" data-height="480" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/6/62/Cheetahs_on_the_Edge_%28Director%27s_Cut%29.ogv/Cheetahs_on_the_Edge_%28Director%27s_Cut%29.ogv.720p.vp9.webm" type="video/webm; codecs="vp9, opus"" data-transcodekey="720p.vp9.webm" data-width="1280" data-height="720" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/6/62/Cheetahs_on_the_Edge_%28Director%27s_Cut%29.ogv/Cheetahs_on_the_Edge_%28Director%27s_Cut%29.ogv.1080p.vp9.webm" type="video/webm; codecs="vp9, opus"" data-transcodekey="1080p.vp9.webm" data-width="1920" data-height="1080" /><source src="//upload.wikimedia.org/wikipedia/commons/6/62/Cheetahs_on_the_Edge_%28Director%27s_Cut%29.ogv" type="video/ogg; codecs="theora"" data-width="1920" data-height="1080" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/6/62/Cheetahs_on_the_Edge_%28Director%27s_Cut%29.ogv/Cheetahs_on_the_Edge_%28Director%27s_Cut%29.ogv.144p.mjpeg.mov" type="video/quicktime" data-transcodekey="144p.mjpeg.mov" data-width="256" data-height="144" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/6/62/Cheetahs_on_the_Edge_%28Director%27s_Cut%29.ogv/Cheetahs_on_the_Edge_%28Director%27s_Cut%29.ogv.240p.vp9.webm" type="video/webm; codecs="vp9, opus"" data-transcodekey="240p.vp9.webm" data-width="426" data-height="240" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/6/62/Cheetahs_on_the_Edge_%28Director%27s_Cut%29.ogv/Cheetahs_on_the_Edge_%28Director%27s_Cut%29.ogv.360p.vp9.webm" type="video/webm; codecs="vp9, opus"" data-transcodekey="360p.vp9.webm" data-width="640" data-height="360" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/6/62/Cheetahs_on_the_Edge_%28Director%27s_Cut%29.ogv/Cheetahs_on_the_Edge_%28Director%27s_Cut%29.ogv.360p.webm" type="video/webm; codecs="vp8, vorbis"" data-transcodekey="360p.webm" data-width="640" data-height="360" /></video></span><figcaption>Documentary film, shot at 1200 fps, used to study the locomotion of a cheetah. The end of the video shows the methods used for filming.</figcaption></figure> <p>A variety of methods and equipment are used to study animal locomotion: </p> <dl><dt><a href="/wiki/Treadmills" class="mw-redirect" title="Treadmills">Treadmills</a></dt> <dd>are used to allow animals to walk or run while remaining stationary or confined with respect to external observers. This technique facilitates filming or recordings of physiological information from the animal (e.g., during studies of energetics<sup id="cite_ref-32" class="reference"><a href="#cite_note-32"><span class="cite-bracket">[</span>32<span class="cite-bracket">]</span></a></sup>). Some treadmills consist of a linear belt (single<sup id="cite_ref-33" class="reference"><a href="#cite_note-33"><span class="cite-bracket">[</span>33<span class="cite-bracket">]</span></a></sup> or split belt<sup id="cite_ref-:7_34-0" class="reference"><a href="#cite_note-:7-34"><span class="cite-bracket">[</span>34<span class="cite-bracket">]</span></a></sup>) that constrains the animal to forward walking, while others allow 360 degrees of rotation.<sup id="cite_ref-35" class="reference"><a href="#cite_note-35"><span class="cite-bracket">[</span>35<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-:8_36-0" class="reference"><a href="#cite_note-:8-36"><span class="cite-bracket">[</span>36<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-:7_34-1" class="reference"><a href="#cite_note-:7-34"><span class="cite-bracket">[</span>34<span class="cite-bracket">]</span></a></sup> Non-motorized treadmills move in response to an animal's self-initiated locomotion, while motorized treadmills externally drive locomotion and are often used to measure the endurance capacity (stamina) of animals.<sup id="cite_ref-37" class="reference"><a href="#cite_note-37"><span class="cite-bracket">[</span>37<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-38" class="reference"><a href="#cite_note-38"><span class="cite-bracket">[</span>38<span class="cite-bracket">]</span></a></sup></dd></dl> <dl><dt>Tethered locomotion</dt> <dd>Animals may be fixed in place, allowing them to move while remaining stationary relative to their environment. Tethered animals can be lowered onto a treadmill to study walking,<sup id="cite_ref-:8_36-1" class="reference"><a href="#cite_note-:8-36"><span class="cite-bracket">[</span>36<span class="cite-bracket">]</span></a></sup> suspended in air to study flight,<sup id="cite_ref-39" class="reference"><a href="#cite_note-39"><span class="cite-bracket">[</span>39<span class="cite-bracket">]</span></a></sup> or submersed in water to study swimming.<sup id="cite_ref-40" class="reference"><a href="#cite_note-40"><span class="cite-bracket">[</span>40<span class="cite-bracket">]</span></a></sup></dd></dl> <figure typeof="mw:File/Thumb"><a href="/wiki/File:Drosophila_tethered_locomotion.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/bc/Drosophila_tethered_locomotion.gif/256px-Drosophila_tethered_locomotion.gif" decoding="async" width="256" height="227" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/bc/Drosophila_tethered_locomotion.gif/384px-Drosophila_tethered_locomotion.gif 1.5x, //upload.wikimedia.org/wikipedia/commons/b/bc/Drosophila_tethered_locomotion.gif 2x" data-file-width="438" data-file-height="388" /></a><figcaption>A fruit fly, <i>Drosophila melanogaster</i>, tethered and walking on a spherical treadmill. Slowed 6X.</figcaption></figure> <dl><dt>Untethered locomotion</dt> <dd>Animals may move through an environment without being held in place and their movement can be tracked for analysis of that behavior.<sup id="cite_ref-41" class="reference"><a href="#cite_note-41"><span class="cite-bracket">[</span>41<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-42" class="reference"><a href="#cite_note-42"><span class="cite-bracket">[</span>42<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-43" class="reference"><a href="#cite_note-43"><span class="cite-bracket">[</span>43<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-44" class="reference"><a href="#cite_note-44"><span class="cite-bracket">[</span>44<span class="cite-bracket">]</span></a></sup> However freely moving animals are more challenging to track in 3d for detailed kinematic analysis of intralimb coordination.</dd></dl> <dl><dt>Visual arenas</dt> <dd>locomotion can be prolonged and sometimes controlled using a visual arena displaying a particular pattern of light. Many animals use visual queues from their surroundings to control their locomotion and so presenting them with a pseudo optic flow or context-specific visual feature can prompt and prolong locomotion.<sup id="cite_ref-45" class="reference"><a href="#cite_note-45"><span class="cite-bracket">[</span>45<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-:8_36-2" class="reference"><a href="#cite_note-:8-36"><span class="cite-bracket">[</span>36<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-46" class="reference"><a href="#cite_note-46"><span class="cite-bracket">[</span>46<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-47" class="reference"><a href="#cite_note-47"><span class="cite-bracket">[</span>47<span class="cite-bracket">]</span></a></sup></dd></dl> <dl><dt><a href="/wiki/Racetracks" class="mw-redirect" title="Racetracks">Racetracks</a></dt> <dd>lined with photocells or filmed while animals run along them are used to measure acceleration and maximal sprint speed.<sup id="cite_ref-48" class="reference"><a href="#cite_note-48"><span class="cite-bracket">[</span>48<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-49" class="reference"><a href="#cite_note-49"><span class="cite-bracket">[</span>49<span class="cite-bracket">]</span></a></sup></dd></dl> <dl><dt>High-speed videography</dt> <dd>for the study of the motion of an entire animal or parts of its body (i.e. <a href="/wiki/Kinematics" title="Kinematics">Kinematics</a>) is typically accomplished by tracking anatomical locations on the animal and then recording video of its movement from multiple angles. Traditionally, anatomical locations have been tracked using visual markers that have been placed on the animal's body. However, it is becoming increasingly more common to use <a href="/wiki/Computer_vision" title="Computer vision">computer vision</a> techniques to achieve markerless <a href="/wiki/Pose_estimation" class="mw-redirect" title="Pose estimation">pose estimation</a>. <ul><li>Marker-based pose estimation: Visual markers must be placed on an animal at the desired regions of interest. The location of each marker is determined for each video frame, and data from multiple views is integrated to give positions of each point through time. The visual markers can then be annotated in each frame manually. However, this is a time-consuming task, so computer vision techniques are often used to automate the detection of the markers.</li> <li>Markerless pose estimation: User-defined body parts must be manually annotated in a series of frames to use as training data.<sup id="cite_ref-:5_6-1" class="reference"><a href="#cite_note-:5-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Deep_learning" title="Deep learning">Deep learning</a> and <a href="/wiki/Computer_vision" title="Computer vision">computer vision</a> techniques are then employed to learn the location of the body parts in the training data. Next, the trained model is used to predict the location of the body parts in each frame on newly collected videos. The resulting time series data consists of the positions of the visible body parts at each frame in the video. Model parameters can be optimized to minimize tracking error and increase robustness.</li></ul></dd></dl> <dl><dd>The kinematic data obtained from either of these methods can be used to determine fundamental motion attributes such as velocity, acceleration, joint angles, and the sequencing and timing of kinematic events. These fundamental attributes can be used to quantify various higher level attributes, such as the physical abilities of the animal (e.g., its maximum running speed, how steep a slope it can climb), <a href="/wiki/Gait" title="Gait">gait</a>, neural control of locomotion, and responses to environmental variation. These can aid in formulation of hypotheses about the animal or locomotion in general.<figure class="mw-halign-right" typeof="mw:File/Thumb"><span><video id="mwe_player_1" poster="//upload.wikimedia.org/wikipedia/commons/thumb/6/61/Alternating_Tripod_Gait.webm/250px--Alternating_Tripod_Gait.webm.jpg" controls="" preload="none" data-mw-tmh="" class="mw-file-element" width="250" height="188" data-durationhint="45" data-mwtitle="Alternating_Tripod_Gait.webm" data-mwprovider="wikimediacommons" resource="/wiki/File:Alternating_Tripod_Gait.webm"><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/6/61/Alternating_Tripod_Gait.webm/Alternating_Tripod_Gait.webm.480p.vp9.webm" type="video/webm; codecs="vp9, opus"" data-transcodekey="480p.vp9.webm" data-width="640" data-height="480" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/6/61/Alternating_Tripod_Gait.webm/Alternating_Tripod_Gait.webm.720p.vp9.webm" type="video/webm; codecs="vp9, opus"" data-transcodekey="720p.vp9.webm" data-width="960" data-height="720" /><source src="//upload.wikimedia.org/wikipedia/commons/6/61/Alternating_Tripod_Gait.webm" type="video/webm; codecs="vp8"" data-width="1200" data-height="900" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/6/61/Alternating_Tripod_Gait.webm/Alternating_Tripod_Gait.webm.144p.mjpeg.mov" type="video/quicktime" data-transcodekey="144p.mjpeg.mov" data-width="192" data-height="144" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/6/61/Alternating_Tripod_Gait.webm/Alternating_Tripod_Gait.webm.240p.vp9.webm" type="video/webm; codecs="vp9, opus"" data-transcodekey="240p.vp9.webm" data-width="320" data-height="240" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/6/61/Alternating_Tripod_Gait.webm/Alternating_Tripod_Gait.webm.360p.vp9.webm" type="video/webm; codecs="vp9, opus"" data-transcodekey="360p.vp9.webm" data-width="480" data-height="360" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/6/61/Alternating_Tripod_Gait.webm/Alternating_Tripod_Gait.webm.360p.webm" type="video/webm; codecs="vp8, vorbis"" data-transcodekey="360p.webm" data-width="480" data-height="360" /></video></span><figcaption>Simultaneous measurement of ground forces (blue) and kinematics such as petiole trajectories (red) and stepping pattern (yellow) of walking desert ants in a laboratory environment in order to describe the alternating tripod gait. Recording rate: 500 fps, Playback rate: 10 fps.</figcaption></figure>Marker-based and markerless pose estimation approaches have advantages and disadvantages, so the method that is best suited for collecting kinematic data may be largely dependent on the animal of study. Marker-based tracking methods tend to be more portable than markerless methods, which require precise camera calibration.<sup id="cite_ref-:6_50-0" class="reference"><a href="#cite_note-:6-50"><span class="cite-bracket">[</span>50<span class="cite-bracket">]</span></a></sup> Markerless approaches, however, overcome several weaknesses of marker-based tracking, since placing visual markers on the animal of study may be impractical, expensive, or time-consuming.<sup id="cite_ref-:6_50-1" class="reference"><a href="#cite_note-:6-50"><span class="cite-bracket">[</span>50<span class="cite-bracket">]</span></a></sup> There are many publicly accessible software packages that provide support for markerless pose estimation.<sup id="cite_ref-:5_6-2" class="reference"><a href="#cite_note-:5-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup></dd></dl> <dl><dt><a href="/wiki/Force_platform" title="Force platform">Force plates</a></dt> <dd>are platforms, usually part of a trackway, that can be used to measure the magnitude and direction of forces of an animal's step. When used with kinematics and a sufficiently detailed model of anatomy, inverse dynamics solutions can determine the forces not just at the contact with the ground, but at each joint in the limb.</dd></dl> <dl><dt><a href="/wiki/Electromyography" title="Electromyography">Electromyography</a></dt> <dd>(EMG) is a method of detecting the electrical activity that occurs when muscles are activated, thus determining which muscles an animal uses for a given movement. This can be accomplished either by surface electrodes (usually in large animals) or implanted electrodes (often wires thinner than a human hair). Furthermore, the intensity of electrical activity can correlate to the level of muscle activity, with greater activity implying (though not definitively showing) greater force.</dd></dl> <dl><dt><a href="/wiki/Optogenetics" title="Optogenetics">Optogenetics</a></dt> <dd>is a method used to control the activity of targeted neurons that have been genetically modified to respond to light signals. Optogenetic activation and silencing of neurons can help determine which neurons are required to carry out certain locomotor behaviors, as well as the function of these neurons in the execution of the behavior.</dd></dl> <dl><dt><a href="/wiki/Sonomicrometry" title="Sonomicrometry">Sonomicrometry</a></dt> <dd>employs a pair of piezoelectric crystals implanted in a muscle or tendon to continuously measure the length of a muscle or tendon. This is useful because surface kinematics may be inaccurate due to skin movement. Similarly, if an elastic tendon is in series with the muscle, the muscle length may not be accurately reflected by the joint angle.</dd></dl> <dl><dt>Tendon force buckles</dt> <dd>measure the force produced by a single muscle by measuring the strain of a tendon. After the experiment, the tendon's elastic modulus is determined and used to compute the exact force produced by the muscle. However, this can only be used on muscles with long tendons.</dd></dl> <dl><dt><a href="/wiki/Particle_image_velocimetry" title="Particle image velocimetry">Particle image velocimetry</a></dt> <dd>is used in aquatic and aerial systems to measure the flow of fluid around and past a moving aquatic organism, allowing fluid dynamics calculations to determine pressure gradients, speeds, etc.</dd></dl> <dl><dt><a href="/wiki/Fluoroscopy" title="Fluoroscopy">Fluoroscopy</a></dt> <dd>allows real-time X-ray video, for precise kinematics of moving bones. Markers opaque to X-rays can allow simultaneous tracking of muscle length.</dd></dl> <p>Many of the above methods can be combined to enhance the study of locomotion. For example, studies frequently combine EMG and kinematics to determine motor pattern, the series of electrical and kinematic events that produce a given movement. Optogenetic perturbations are also frequently combined with kinematics to study how locomotor behaviors and tasks are affected by the activity of a certain group of neurons. Observations resulting from optogenetic experiments may provide insight into the neural circuitry that underlies different locomotor behaviors. It is also common for studies to collect high-speed videos of animals on a treadmill. Such a setup may allow for increased accuracy and robustness when determining an animal's poses across time. </p> <div class="mw-heading mw-heading2"><h2 id="Modeling_animal_locomotion">Modeling animal locomotion</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Study_of_animal_locomotion&action=edit&section=17" title="Edit section: Modeling animal locomotion"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Models of animal locomotion are important for gaining new insights and predications on how kinematics arise from the interactions of the <a href="/wiki/Nervous_system" title="Nervous system">nervous</a>, <a href="/wiki/Skeletal_muscle" title="Skeletal muscle">skeletal</a>, and/or <a href="/wiki/Muscular_system" title="Muscular system">muscular systems</a> that would otherwise be difficult to glean from experiments. The following are types of animal locomotion models: </p> <div class="mw-heading mw-heading3"><h3 id="Neuromechanical_models">Neuromechanical models</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Study_of_animal_locomotion&action=edit&section=18" title="Edit section: Neuromechanical models"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Neuromechanics" title="Neuromechanics">Neuromechanics</a> is a field that combines biomechanics and neuroscience to understand the complex interactions between the physical environment, nervous system, and the muscular and skeletal systems that consequently result in anticipated body movement.<sup id="cite_ref-51" class="reference"><a href="#cite_note-51"><span class="cite-bracket">[</span>51<span class="cite-bracket">]</span></a></sup> Therefore, neuromechanical models aim to simulate movement given the neural commands to specific muscles, and how those muscles are connected to the animal's skeleton.<sup id="cite_ref-52" class="reference"><a href="#cite_note-52"><span class="cite-bracket">[</span>52<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-:10_53-0" class="reference"><a href="#cite_note-:10-53"><span class="cite-bracket">[</span>53<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-54" class="reference"><a href="#cite_note-54"><span class="cite-bracket">[</span>54<span class="cite-bracket">]</span></a></sup> The key components of neuromechanical models are: </p> <ol><li>A morphologically accurate 3D model of the animal's skeleton consisting of rigid bodies (i.e. bones) that are arranged in a naturalistic manner. In these models, the properties of each rigid body, like mass, length, and width, need to be prescribed. Additionally, the joints between rigid bodies need to be defined, both in terms of type (e.g. hinge and ball-in-socket) and degrees of freedom (i.e. how the rigid bodies move relative to one another). The final step is to assign a mesh object to each rigid body that determines the appearance (e.g. outer surface of a bone) and other contact properties of the rigid bodies. These skeletal models can be built using a variety of 3D modeling programs, such as <a rel="nofollow" class="external text" href="https://www.blender.org/">Blender</a> and <a rel="nofollow" class="external text" href="https://opensimcreator.com/">Opensim Creator</a>.</li> <li>After the skeletal model is built, the next step is to accurately define the attachment points of muscle to the rigid bodies. This assignment is crucial for the rigid bodies to be articulated in a naturalistic way. There are several type of muscle models that simulate the dynamics of muscle activation, contraction, and relaxation, which include Hill-type and Ekeberg-type muscle models.<sup id="cite_ref-:10_53-1" class="reference"><a href="#cite_note-:10-53"><span class="cite-bracket">[</span>53<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-55" class="reference"><a href="#cite_note-55"><span class="cite-bracket">[</span>55<span class="cite-bracket">]</span></a></sup></li> <li>Neural controllers that simulate motor neuron recruitment and activity by central commands are used to dictate the timing and strength of modeled muscle activation. There are many flavors of these controllers, such as coupled phase oscillator and neural network models.</li> <li>An environment that incorporates physics is essential in simulating realistic movement of neuromechanical models because they will abide by the laws of physics. Environments used for physics simulation include, Opensim,<sup id="cite_ref-56" class="reference"><a href="#cite_note-56"><span class="cite-bracket">[</span>56<span class="cite-bracket">]</span></a></sup> <a rel="nofollow" class="external text" href="https://pybullet.org/wordpress/">PyBullet</a>, and <a rel="nofollow" class="external text" href="https://mujoco.org/">MuJoCo</a>.</li></ol> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Study_of_animal_locomotion&action=edit&section=19" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap mw-references-columns"><ol class="references"> <li id="cite_note-:0-1"><span class="mw-cite-backlink">^ <a href="#cite_ref-:0_1-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-:0_1-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite id="CITEREFDarmohrayJacobsMarquesCarey2019" class="citation journal cs1">Darmohray, Dana M.; Jacobs, Jovin R.; Marques, Hugo G.; Carey, Megan R. 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