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Blickhan R, Andrada E, Hirasaki E, Ogihara N. Skipping without and with hurdles in bipedal macaque: global mechanics. J Exp Biol 2024; 227:jeb246675. [PMID: 38426486 PMCID: PMC11007588 DOI: 10.1242/jeb.246675] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/30/2023] [Accepted: 02/19/2024] [Indexed: 03/02/2024]
Abstract
Macaques trained to perform bipedally used running gaits across a wide range of speeds. At higher speeds they preferred unilateral skipping (galloping). The same asymmetric stepping pattern was used while hurdling across two low obstacles placed at the distance of a stride within our experimental track. In bipedal macaques during skipping, we expected a differential use of the trailing and leading legs. The present study investigated global properties of the effective and virtual leg, the location of the virtual pivot point (VPP), and the energetics of the center of mass (CoM), with the aim of clarifying the differential leg operation during skipping in bipedal macaques. When skipping, macaques displayed minor double support and aerial phases during one stride. Asymmetric leg use was indicated by differences in leg kinematics. Axial damping and tangential leg work did not influence the indifferent peak ground reaction forces and impulses, but resulted in a lift of the CoM during contact of the leading leg. The aerial phase was largely due to the use of the double support. Hurdling amplified the differential leg operation. Here, higher ground reaction forces combined with increased double support provided the vertical impulse to overcome the hurdles. Following CoM dynamics during a stride, skipping and hurdling represented bouncing gaits. The elevation of the VPP of bipedal macaques resembled that of human walking and running in the trailing and leading phases, respectively. Because of anatomical restrictions, macaque unilateral skipping differs from that of humans, and may represent an intermediate gait between grounded and aerial running.
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Affiliation(s)
- Reinhard Blickhan
- Science of Motion, Friedrich-Schiller-University, 07749 Jena, Germany
| | - Emanuel Andrada
- Institute of Zoology and Evolutionary Research, 07743 Jena, Germany
| | - Eishi Hirasaki
- Center for the Evolutionary Origins of Human Behavior, Kyoto University, Inuyama, Aichi 4848506, Japan
| | - Naomichi Ogihara
- Department of Mechanical Engineering, Keio University, 3-14-1 Hiyoshi Kohoku-ku, Yokohama 2238522, Japan
- Department of Biological Science, Graduate School of Science, The University of Tokyo, 7-3-1 Hongo Bunkyo-ku, Tokyo 113-0033, Japan
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Wagner H, Schmitz O, Boström KJ. The virtual pivot point concept improves predictions of ground reaction forces. Front Bioeng Biotechnol 2024; 12:1286644. [PMID: 38595996 PMCID: PMC11002124 DOI: 10.3389/fbioe.2024.1286644] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/06/2023] [Accepted: 03/06/2024] [Indexed: 04/11/2024] Open
Abstract
Ground reaction forces (GRFs) are essential for the analysis of human movement. To measure GRFs, 3D force plates that are fixed to the floor are used with large measuring ranges, excellent accuracy and high sample frequency. For less dynamic movements, like walking or squatting, portable 3D force plates are used, while if just the vertical component of the GRFs is of interest, pressure plates or in-shoe pressure measurements are often preferred. In many cases, however, it is impossible to measure 3D GRFs, e.g., during athletic competitions, at work or everyday life. It is still challenging to predict the horizontal components of the GRFs from kinematics using biomechanical models. The virtual pivot point (VPP) concept states that measured GRFs during walking intercept in a point located above the center of mass, while during running, the GRFs cross each other at a point below the center of mass. In the present study, this concept is used to compare predicted GRFs from measured kinematics with measured 3D-GRFs, not only during walking but also during more static movements like squatting and inline lunge. To predict the GRFs a full-body biomechanical model was used while gradually changing the positions of the VPP. It is shown that an optimal VPP improves the prediction of GRFs not only for walking but also for inline lunge and squats.
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Affiliation(s)
- Heiko Wagner
- Department of Movement Science, University of Münster, Münster, Germany
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Vielemeyer J, Schreff L, Hochstein S, Müller R. Virtual pivot point: Always experimentally observed in human walking? PLoS One 2023; 18:e0292874. [PMID: 37831656 PMCID: PMC10575527 DOI: 10.1371/journal.pone.0292874] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/12/2023] [Accepted: 10/01/2023] [Indexed: 10/15/2023] Open
Abstract
A main challenge in human walking is maintaining stability. One strategy to balance the whole body dynamically is to direct the ground reaction forces toward a point above the center of mass, called virtual pivot point (VPP). This strategy could be observed in various experimental studies for human and animal gait. A VPP was also observed when VPP input variables like center of mass or ground reaction forces were perturbed. In this study, the kinetic and kinematic consequences of a center of pressure manipulation and the influence on the VPP are investigated. Thus, eleven participants walked with manipulated center of pressure (i.e. barefoot, backwards, with a rigid sole, with stilts, and in handstand compared to shoe walking). In all conditions a VPP could be observed, only one participant showed no VPP in handstand walking. The vertical VPP position only differs between shoe walking and rigid sole walking, there are no significant differences between the conditions in the horizontal VPP position and the spread around the VPP. However, it is conceivable that for more severe gait changes, walking without VPP could be observed. To further analyze this issue, the authors provide a VPP calculation tool for testing data regarding the existence of the VPP.
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Affiliation(s)
- Johanna Vielemeyer
- Institute of Sport Sciences, Friedrich-Schiller-University Jena, Jena, Germany
- GaitLab, Klinikum Bayreuth GmbH, Bayreuth, Germany
| | - Lucas Schreff
- GaitLab, Klinikum Bayreuth GmbH, Bayreuth, Germany
- Bayreuth Center of Sport Science, University of Bayreuth, Bayreuth, Germany
| | - Stefan Hochstein
- Institute of Sport Sciences, Martin-Luther-University Halle-Wittenberg, Halle, Germany
| | - Roy Müller
- GaitLab, Klinikum Bayreuth GmbH, Bayreuth, Germany
- Bayreuth Center of Sport Science, University of Bayreuth, Bayreuth, Germany
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Andrada E, Hildebrandt G, Witte H, Fischer MS. Positioning of pivot points in quadrupedal locomotion: limbs global dynamics in four different dog breeds. Front Bioeng Biotechnol 2023; 11:1193177. [PMID: 37485325 PMCID: PMC10360120 DOI: 10.3389/fbioe.2023.1193177] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/24/2023] [Accepted: 06/27/2023] [Indexed: 07/25/2023] Open
Abstract
Dogs (Canis familiaris) prefer the walk at lower speeds and the more economical trot at speeds ranging from 0.5 Fr up to 3 Fr. Important works have helped to understand these gaits at the levels of the center of mass, joint mechanics, and muscular control. However, less is known about the global dynamics for limbs and if these are gait or breed-specific. For walk and trot, we analyzed dogs' global dynamics, based on motion capture and single leg kinetic data, recorded from treadmill locomotion of French Bulldog (N = 4), Whippet (N = 5), Malinois (N = 4), and Beagle (N = 5). Dogs' pelvic and thoracic axial leg functions combined compliance with leg lengthening. Thoracic limbs were stiffer than the pelvic limbs and absorbed energy in the scapulothoracic joint. Dogs' ground reaction forces (GRF) formed two virtual pivot points (VPP) during walk and trot each. One emerged for the thoracic (fore) limbs (VPPTL) and is roughly located above and caudally to the scapulothoracic joint. The second is located roughly above and cranially to the hip joint (VPPPL). The positions of VPPs and the patterns of the limbs' axial and tangential projections of the GRF were gaits but not always breeds-related. When they existed, breed-related changes were mainly exposed by the French Bulldog. During trot, positions of the VPPs tended to be closer to the hip joint or the scapulothoracic joint, and variability between and within breeds lessened compared to walk. In some dogs, VPPPL was located below the pelvis during trot. Further analyses revealed that leg length and not breed may better explain differences in the vertical position of VPPTL or the horizontal position of VPPPL. The vertical position of VPPPL was only influenced by gait, while the horizontal position of VPPTL was not breed or gait-related. Accordingly, torque profiles in the scapulothoracic joint were likely between breeds while hip torque profiles were size-related. In dogs, gait and leg length are likely the main VPPs positions' predictors. Thus, variations of VPP positions may follow a reduction of limb work. Stability issues need to be addressed in further studies.
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Affiliation(s)
- Emanuel Andrada
- Institute of Zoology and Evolutionary Research, Friedrich-Schiller-University Jena, Jena, Germany
- Group of Biomechatronics, Institute of Mechatronic System Integration, Technische Universität Ilmenau, Ilmenau, Germany
| | - Gregor Hildebrandt
- Institute of Zoology and Evolutionary Research, Friedrich-Schiller-University Jena, Jena, Germany
- Group of Biomechatronics, Institute of Mechatronic System Integration, Technische Universität Ilmenau, Ilmenau, Germany
| | - Hartmut Witte
- Group of Biomechatronics, Institute of Mechatronic System Integration, Technische Universität Ilmenau, Ilmenau, Germany
| | - Martin S. Fischer
- Institute of Zoology and Evolutionary Research, Friedrich-Schiller-University Jena, Jena, Germany
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Vielemeyer J, Staufenberg NS, Schreff L, Rixen D, Müller R. Walking like a robot: do the ground reaction forces still intersect near one point when humans imitate a humanoid robot? ROYAL SOCIETY OPEN SCIENCE 2023; 10:221473. [PMID: 37266041 PMCID: PMC10230186 DOI: 10.1098/rsos.221473] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 11/15/2022] [Accepted: 05/04/2023] [Indexed: 06/03/2023]
Abstract
Bipedal walking while keeping the upper body upright is a complex task. One strategy to cope with this task is to direct the ground reaction forces toward a point above the centre of mass of the whole body, called virtual pivot point (VPP). This behaviour could be observed in various experimental studies for human and animal walking, but not for the humanoid robot LOLA. The question arose whether humans still show a VPP when walking like LOLA. For this purpose, ten participants imitated LOLA in speed, posture, and mass distribution (LOLA-like walking). It could be found that humans do not differ from LOLA in spatio-temporal parameters for the LOLA-like walking, in contrast to upright walking with preferred speed. Eight of the participants show a VPP in all conditions (R2 > 0.90 ± 0.09), while two participants had no VPP for LOLA-like walking (R2 < 0.52). In the latter case, the horizontal ground reaction forces are not balanced around zero in the single support phase, which is presumably the key variable for the absence of the VPP.
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Affiliation(s)
- Johanna Vielemeyer
- Institute of Sport Sciences, Friedrich-Schiller-University Jena, 07737 Jena, Germany
- GaitLab, Klinikum Bayreuth GmbH, 95445 Bayreuth, Germany
| | - Nora-Sophie Staufenberg
- Munich Institute of Robotics and Machine Intelligence, Technical University Munich, 85748 Garching, Germany
| | - Lucas Schreff
- GaitLab, Klinikum Bayreuth GmbH, 95445 Bayreuth, Germany
- Bayreuth Center of Sport Science, University of Bayreuth, 95447 Bayreuth, Germany
| | - Daniel Rixen
- Munich Institute of Robotics and Machine Intelligence, Technical University Munich, 85748 Garching, Germany
| | - Roy Müller
- GaitLab, Klinikum Bayreuth GmbH, 95445 Bayreuth, Germany
- Bayreuth Center of Sport Science, University of Bayreuth, 95447 Bayreuth, Germany
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Firouzi V, Bahrami F, Sharbafi MA. Human balance control in 3D running based on virtual pivot point concept. J Exp Biol 2022; 225:274032. [PMID: 35040960 DOI: 10.1242/jeb.243080] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/06/2021] [Accepted: 01/04/2022] [Indexed: 11/20/2022]
Abstract
Balance control is one of the crucial challenges in bipedal locomotion. Humans need to maintain their trunk upright while the body behaves like an inverted pendulum which is inherently unstable. Instead, the virtual pivot point (VPP) concept introduced a new virtual pendulum model to the human balance control paradigm by analyzing the ground reaction forces (GRF) in the body coordinate frame. This paper presents novel VPP-based analyses of the postural stability of human running in a 3D space. We demonstrate the relation between the VPP position and the gait speed. The experimental results suggest different control strategies in frontal and sagittal planes. The ground reaction forces intersect below the center of mass in the sagittal plane and above the center of mass in the frontal plane. These VPP locations are found for the sagittal and frontal planes at all running speeds, respectively. We introduced a 3D VPP-based model which can replicate the kinematic and kinetic behavior of human running. The similarity between the experimental and simulation results indicates the ability of the VPP concept in predicting human balance control in running and can support its applicability for gait assistance.
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Affiliation(s)
- Vahid Firouzi
- Electrical and Computer Engineering Department, College of Engineering, University of Tehran, Tehran, Iran
| | - Fariba Bahrami
- Electrical and Computer Engineering Department, College of Engineering, University of Tehran, Tehran, Iran
| | - Maziar A Sharbafi
- Lauflabor Laboratory, Technische Universität Darmstadt, Darmstadt, Germany
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Shiozawa K, Lee J, Russo M, Sternad D, Hogan N. Frequency-dependent force direction elucidates neural control of balance. J Neuroeng Rehabil 2021; 18:145. [PMID: 34563223 PMCID: PMC8466643 DOI: 10.1186/s12984-021-00907-2] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/16/2020] [Accepted: 06/28/2021] [Indexed: 11/10/2022] Open
Abstract
Background Maintaining upright posture is an unstable task that requires sophisticated neuro-muscular control. Humans use foot–ground interaction forces, characterized by point of application, magnitude, and direction to manage body accelerations. When analyzing the directions of the ground reaction forces of standing humans in the frequency domain, previous work found a consistent pattern in different frequency bands. To test whether this frequency-dependent behavior provided a distinctive signature of neural control or was a necessary consequence of biomechanics, this study simulated quiet standing and compared the results with human subject data. Methods Aiming to develop the simplest competent and neuromechanically justifiable dynamic model that could account for the pattern observed across multiple subjects, we first explored the minimum number of degrees of freedom required for the model. Then, we applied a well-established optimal control method that was parameterized to maximize physiologically-relevant insight to stabilize the balancing model. Results If a standing human was modeled as a single inverted pendulum, no controller could reproduce the experimentally observed pattern. The simplest competent model that approximated a standing human was a double inverted pendulum with torque-actuated ankle and hip joints. A range of controller parameters could stabilize this model and reproduce the general trend observed in experimental data; this result seems to indicate a biomechanical constraint and not a consequence of control. However, details of the frequency-dependent pattern varied substantially across tested control parameter values. The set of parameters that best reproduced the human experimental results suggests that the control strategy employed by human subjects to maintain quiet standing was best described by minimal control effort with an emphasis on ankle torque. Conclusions The findings suggest that the frequency-dependent pattern of ground reaction forces observed in quiet standing conveys quantitative information about human control strategies. This study’s method might be extended to investigate human neural control strategies in different contexts of balance, such as with an assistive device or in neurologically impaired subjects.
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Affiliation(s)
- Kaymie Shiozawa
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA
| | - Jongwoo Lee
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA.
| | - Marta Russo
- Department of Neurology, Tor Vergata Polyclinic and Laboratory of Neuromotor Physiology, Santa Lucia Foundation, Rome, Italy
| | - Dagmar Sternad
- Department of Biology, Northeastern University, Boston, MA, 02115, USA.,Department of Electrical and Computer Engineering, Northeastern University, Boston, MA, 02115, USA.,Department of Physics, Northeastern University, Boston, MA, 02115, USA
| | - Neville Hogan
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA.,Department of Brain and Cognitive Sciences, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA
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AminiAghdam S, Karamanidis K, Rode C. Uneven running: How does trunk-leaning affect the lower-limb joint mechanics and energetics? Eur J Sport Sci 2021; 22:1188-1195. [PMID: 34077302 DOI: 10.1080/17461391.2021.1938691] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
Abstract
This study aimed to investigate the role of trunk posture in running locomotion. Twelve recreational runners ran in the laboratory across even and uneven ground surface (expected 10 cm drop-step) with three trunk-lean angles from the vertical (self-selected, ∼15°; anterior, ∼25°; posterior, ∼0°) while 3D kinematic and kinetic data were collected using a 3D motion-capture-system and two embedded force-plates. Two-way repeated measures ANOVAs (α = 0.05) compared lower-limb joint mechanics (angles, moments, energy absorption and generation) and ground-reaction-force parameters (braking and propulsive impulse) between Step (level and drop) and Posture conditions. The Step-by-Posture interaction revealed decreased hip energy generation, and greater peak knee extension moment in the drop-step during running with posterior versus anterior trunk-lean. Furthermore, energy absorption across hip and ankle nearly doubled in the drop-step across all running conditions. The Step main effect revealed that the knee and ankle energy absorption, ankle energy generation, ground-reaction-force, and braking impulse significantly increased in the drop-step. The Posture main effect revealed that, compared with a self-selected trunk-lean, the knee's energy absorption/generation, ankle's energy generation and the braking impulse were either retained or attenuated when leaning the trunk anteriorly. The opposite effects occurred with a posterior trunk-lean. In conclusion, while the pronounced mechanical ankle stress in drop-steps is marginally affected by posture, changing the trunk-lean reorganizes the load distribution across the knee and hip joints. Leaning the trunk anteriorly in running shifts loading from the knee to the hip not only in level running but also when coping with ground-level changes.Highlights Changing the trunk-lean when running reorganizes the load distribution across the knee and hip joints.Leaning the trunk anteriorly from a habitual trunk posture during running attenuates the mechanical stress on the knee, while the opposite effect occurs with a posterior trunk-lean, irrespective to the ground surface uniformity.The effect of posture on pronounced mechanical ankle stress in small perturbation height during running is marginal.Leaning the trunk anteriorly shifts loading from the knee to the hip not only in level running but also when coping with small perturbation height.
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Affiliation(s)
- Soran AminiAghdam
- Sport and Exercise Science Research Centre, School of Applied Sciences, London South Bank University, London, UK.,Science of Motion, Institute of Sports Science, Friedrich Schiller University Jena, Jena, Germany
| | - Kiros Karamanidis
- Sport and Exercise Science Research Centre, School of Applied Sciences, London South Bank University, London, UK
| | - Christian Rode
- Institute of Sports Science, University of Rostock, Rostock, Germany
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Measuring Gait Stability in People with Multiple Sclerosis Using Different Sensor Locations and Time Scales. SENSORS 2021; 21:s21124001. [PMID: 34200530 PMCID: PMC8228118 DOI: 10.3390/s21124001] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 05/12/2021] [Revised: 06/04/2021] [Accepted: 06/08/2021] [Indexed: 02/07/2023]
Abstract
The evaluation of local divergence exponent (LDE) has been proposed as a common gait stability measure in people with multiple sclerosis (PwMS). However, differences in methods of determining LDE may lead to different results. Therefore, the purpose of the current study was to determine the effect of different sensor locations and LDE measures on the sensitivity to discriminate PwMS. To accomplish this, 86 PwMS and 30 healthy participants were instructed to complete a six-minute walk wearing inertial sensors attached to the foot, trunk and lumbar spine. Due to possible fatigue effects, the LDE short (~50% of stride) and very short (~5% of stride) were calculated for the remaining first, middle and last 30 strides. The effect of group (PwMS vs. healthy participants) and time (begin, mid, end) and the effect of Expanded Disability Status Scale (EDSS) and time were assessed with linear random intercepts models. We found that perturbations seem to be better compensated in healthy participants on a longer time scale based on trunk movements and on a shorter time scale (almost instantaneously) according to the foot kinematics. Therefore, we suggest to consider both sensor location and time scale of LDE when calculating local gait stability in PwMS.
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Vielemeyer J, Müller R, Staufenberg NS, Renjewski D, Abel R. Ground reaction forces intersect above the center of mass in single support, but not in double support of human walking. J Biomech 2021; 120:110387. [PMID: 33798969 DOI: 10.1016/j.jbiomech.2021.110387] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/05/2020] [Revised: 03/05/2021] [Accepted: 03/09/2021] [Indexed: 10/21/2022]
Abstract
There are various simplifying models that describe balance strategies of human walking. In one model it is assumed that ground reaction forces are directed to a point (virtual pivot point) above the center of mass during the whole stride. This was observed in several experimental investigations, but only for the single support phase. It has not yet been concretely considered whether humans use the same stabilization strategy during the double support phase. For analyzing this, nine volunteers walked at self-selected speed while kinetic and kinematic data were measured. We found that in contrast to the single support phase, where the virtual pivot point was significantly above the center of mass, in the double support phase of human walking the ground reaction forces point around the center of mass with a small spread (R2=92.5%). The different heights of the virtual pivot point in the different support phases could be caused by the vertical movement of the center of mass, which has a lower amplitude in the double support phase. This is also reflected in the ground reaction forces, whereby the ratio of the horizontal and vertical ground reaction forces can explain the height of the virtual pivot point. In the double support phase the ratio is shifted in favor of the horizontal component compared to the single support phase, because of a shorter contact time and a delayed braking impulse. Thus, the whole body seems to rotate around the center of mass, which presumably minimizes required energy.
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Affiliation(s)
- Johanna Vielemeyer
- GaitLab, Klinikum Bayreuth GmbH, Hohe Warte 8, 95445 Bayreuth, Germany; Motionscience, Institute of Sport Sciences, Friedrich Schiller University Jena, Seidelstraße 20, 07749 Jena, Germany.
| | - Roy Müller
- GaitLab, Klinikum Bayreuth GmbH, Hohe Warte 8, 95445 Bayreuth, Germany; Motionscience, Institute of Sport Sciences, Friedrich Schiller University Jena, Seidelstraße 20, 07749 Jena, Germany
| | - Nora-Sophie Staufenberg
- Institute of Applied Mechanics, Technical University of Munich, Boltzmannstr. 15, 85748 Garching, Germany
| | - Daniel Renjewski
- Institute of Applied Mechanics, Technical University of Munich, Boltzmannstr. 15, 85748 Garching, Germany
| | - Rainer Abel
- Department of Ortopedic Surgery, Klinikum Bayreuth GmbH, Hohe Warte 8, 95445 Bayreuth, Germany
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Drama Ö, Vielemeyer J, Badri-Spröwitz A, Müller R. Postural stability in human running with step-down perturbations: an experimental and numerical study. ROYAL SOCIETY OPEN SCIENCE 2020; 7:200570. [PMID: 33391782 PMCID: PMC7735328 DOI: 10.1098/rsos.200570] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/07/2020] [Accepted: 10/23/2020] [Indexed: 05/23/2023]
Abstract
Postural stability is one of the most crucial elements in bipedal locomotion. Bipeds are dynamically unstable and need to maintain their trunk upright against the rotations induced by the ground reaction forces (GRFs), especially when running. Gait studies report that the GRF vectors focus around a virtual point above the centre of mass (VPA), while the trunk moves forward in pitch axis during the stance phase of human running. However, a recent simulation study suggests that a virtual point below the centre of mass (VPB) might be present in human running, because a VPA yields backward trunk rotation during the stance phase. In this work, we perform a gait analysis to investigate the existence and location of the VP in human running at 5 m s-1, and support our findings numerically using the spring-loaded inverted pendulum model with a trunk. We extend our analysis to include perturbations in terrain height (visible and camouflaged), and investigate the response of the VP mechanism to step-down perturbations both experimentally and numerically. Our experimental results show that the human running gait displays a VPB of ≈-30 cm and a forward trunk motion during the stance phase. The camouflaged step-down perturbations affect the location of the VPB. Our simulation results suggest that the VPB is able to encounter the step-down perturbations and bring the system back to its initial equilibrium state.
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Affiliation(s)
- Özge Drama
- Dynamic Locomotion Group, Max Planck Institute for Intelligent Systems, Stuttgart, Germany
| | - Johanna Vielemeyer
- Department of Neurology/Orthopedic Surgery, Klinikum Bayreuth GmbH, Germany
- Department of Motion Science, Friedrich Schiller University-Jena, Jena, Germany
| | | | - Roy Müller
- Department of Neurology/Orthopedic Surgery, Klinikum Bayreuth GmbH, Germany
- Department of Motion Science, Friedrich Schiller University-Jena, Jena, Germany
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Drama Ö, Badri-Spröwitz A. Trunk pitch oscillations for energy trade-offs in bipedal running birds and robots. BIOINSPIRATION & BIOMIMETICS 2020; 15:036013. [PMID: 32052793 DOI: 10.1088/1748-3190/ab7570] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
Bipedal animals have diverse morphologies and advanced locomotion abilities. Terrestrial birds, in particular, display agile, efficient, and robust running motion, in which they exploit the interplay between the body segment masses and moment of inertias. On the other hand, most legged robots are not able to generate such versatile and energy-efficient motion and often disregard trunk movements as a means to enhance their locomotion capabilities. Recent research investigated how trunk motions affect the gait characteristics of humans, but there is a lack of analysis across different bipedal morphologies. To address this issue, we analyze avian running based on a spring-loaded inverted pendulum model with a pronograde (horizontal) trunk. We use a virtual point based control scheme and modify the alignment of the ground reaction forces to assess how our control strategy influences the trunk pitch oscillations and energetics of the locomotion. We derive three potential key strategies to leverage trunk pitch motions that minimize either the energy fluctuations of the center of mass or the work performed by the hip and leg. We suggest how these strategies could be used in legged robotics.
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Affiliation(s)
- Özge Drama
- Dynamic Locomotion Group, Max Planck Institute of Intelligent Systems, Stuttgart, Germany
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Biarticular muscles are most responsive to upper-body pitch perturbations in human standing. Sci Rep 2019; 9:14492. [PMID: 31601860 PMCID: PMC6787002 DOI: 10.1038/s41598-019-50995-3] [Citation(s) in RCA: 20] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/17/2019] [Accepted: 09/23/2019] [Indexed: 11/08/2022] Open
Abstract
Balancing the upper body is pivotal for upright and efficient gait. While models have identified potentially useful characteristics of biarticular thigh muscles for postural control of the upper body, experimental evidence for their specific role is lacking. Based on theoretical findings, we hypothesised that biarticular muscle activity would increase strongly in response to upper-body perturbations. To test this hypothesis, we used a novel Angular Momentum Perturbator (AMP) that, in contrast to existing methods, perturbs the upper-body posture with only minimal effect on Centre of Mass (CoM) excursions. The impulse-like AMP torques applied to the trunk of subjects resulted in upper-body pitch deflections of up to 17° with only small CoM excursions below 2 cm. Biarticular thigh muscles (biceps femoris long head and rectus femoris) showed the strongest increase in muscular activity (mid- and long-latency reflexes, starting 100 ms after perturbation onset) of all eight measured leg muscles which highlights the importance of biarticular muscles for restoring upper-body balance. These insights could be used for improving technological aids like rehabilitation or assistive devices, and the effectiveness of physical training for fall prevention e.g. for elderly people.
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Antoniak G, Biswas T, Cortes N, Sikdar S, Chun C, Bhandawat V. Spring-loaded inverted pendulum goes through two contraction-extension cycles during the single-support phase of walking. Biol Open 2019; 8:bio.043695. [PMID: 31097445 PMCID: PMC6602329 DOI: 10.1242/bio.043695] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022] Open
Abstract
Despite the overall complexity of legged locomotion, the motion of the center of mass (COM) itself is relatively simple, and can be qualitatively described by simple mechanical models. In particular, walking can be qualitatively modeled by a simple model in which each leg is described by a spring-loaded inverted pendulum (SLIP). However, SLIP has many limitations and is unlikely to serve as a quantitative model. As a first step to obtaining a quantitative model for walking, we explored the ability of SLIP to model the single-support phase of walking, and found that SLIP has two limitations. First, it predicts larger horizontal ground reaction forces (GRFs) than empirically observed. A new model – angular and radial spring-loaded inverted pendulum (ARSLIP) – can overcome this deficit. Second, although the leg spring (surprisingly) goes through contraction-extension-contraction-extensions (CECEs) during the single-support phase of walking and can produce the characteristic M-shaped vertical GRFs, modeling the single-support phase requires active elements. Despite these limitations, SLIP as a model provides important insights. It shows that the CECE cycling lengthens the stance duration allowing the COM to travel passively for longer, and decreases the velocity redirection between the beginning and end of a step. Summary: We quantitatively evaluate a simple model for human walking based on two-spring and find that this model describes many features of human walking.
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Affiliation(s)
| | - Tirthabir Biswas
- Department of Physics, Loyola University, New Orleans, LA 70118, USA
| | - Nelson Cortes
- Department of Bioengineering, George Mason University, Fairfax, VA 22030, USA
| | - Siddhartha Sikdar
- Department of Bioengineering, George Mason University, Fairfax, VA 22030, USA
| | - Chanwoo Chun
- Department of Biology, Duke University, Durham, NC 27708, USA
| | - Vikas Bhandawat
- Department of Biology, Duke University, Durham, NC 27708, USA
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15
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Hao M, Chen K, Fu C. Effects of hip torque during step-to-step transition on center-of-mass dynamics during human walking examined with numerical simulation. J Biomech 2019; 90:33-39. [PMID: 31047697 DOI: 10.1016/j.jbiomech.2019.04.025] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/19/2018] [Revised: 03/09/2019] [Accepted: 04/13/2019] [Indexed: 10/27/2022]
Abstract
Besides the leg force actuator, humans also use a hip torque actuator during the step-to-step transition to redirect the velocity of CoM (Center of Mass). Although the leg force actuator has been widely studied, few researches analyze the hip torque actuator during the step-to-step transition. In this paper, we build a powered walking model which consists of a point mass linked with two compliant legs. Each leg has a spring and a damper in parallel. Two types of active actuators, the force actuator on the leg and the torque actuator at the hip, are added to simulate the leg force and hip torque actuator during the step-to-step transition. The cycle walk is solved by numerical simulations under different hip torque strength, and the energetics and stability are evaluated. The simulation results show that the hip torque actuator can reduce the energy cost and improve the stability of walking. Further analysis shows that the hip torque actuator can reduce mechanical works of both legs with small extra energy cost. To understand the principle of hip torque actuator, the CoM dynamics is analyzed. It is shown that the hip torque actuator is efficient on the redirection of CoM. Thus, it can improve the stability and reduce required forces of both legs, which decreases the energy cost. Our work provides a fundamental understanding of the hip torque during the step-to-step transition, and may help improve the design of bipedal robots and prosthesis.
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Affiliation(s)
- Ming Hao
- Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China
| | - Ken Chen
- Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China
| | - Chenglong Fu
- Department of Mechanical and Energy Engineering, Southern University of Science and Technology, Shenzhen 518055, China.
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16
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Anand M, Seipel J. The rotary component of leg force during walking and running. J R Soc Interface 2019; 16:20190105. [PMID: 31039697 DOI: 10.1098/rsif.2019.0105] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022] Open
Abstract
The component of ground reaction force (GRF) acting perpendicular to the leg in the sagittal plane during human locomotion (acting in a rotary direction) has not been systematically investigated and is not well understood. In this paper, we investigate this rotary component of the GRF of 11 human subjects (mean age ± s.d.: 26.6 ± 2.9 years) while walking and speed walking on a treadmill, along with eight human subjects (mean age ± s.d.: 26.3 ± 3.1) running on a treadmill. The GRF on both legs was measured, along with estimates of the subject's mass centre and the centre of pressure of each foot to yield total leg lengths and leg angle. Across all steady walking and running speeds, we find that the rotary component of the GRF has significant magnitude (peak values from 5% to 38% of body weight, from slow walking to moderate running, respectively) and implies leg propulsion of the mass centre in the rotary direction. Furthermore, peak rotary force magnitude over stance increases with locomotion speed for both walking and running ( p < 0.05), and the time-averaged (mean) rotary force shows a slight increase with walking speed (though the mean force trend is uncertain for running). Also, an estimate of average power input from the rotary force of the leg acting at the mass centre shows moderate and strong positive correlation with locomotion speed for running and walking respectively ( p < 0.05). This study also shows that the rotary force acts differently in walking versus running: rotary force is predominantly positive during running, but during walking it exhibits both positive and negative phases with net positive force found over the whole stride.
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Affiliation(s)
- Manish Anand
- Mechanical Engineering, Purdue University , West Lafayette, IN , USA
| | - Justin Seipel
- Mechanical Engineering, Purdue University , West Lafayette, IN , USA
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17
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Davoodi A, Mohseni O, Seyfarth A, Sharbafi MA. From template to anchors: transfer of virtual pendulum posture control balance template to adaptive neuromuscular gait model increases walking stability. ROYAL SOCIETY OPEN SCIENCE 2019; 6:181911. [PMID: 31032044 PMCID: PMC6458364 DOI: 10.1098/rsos.181911] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 11/08/2018] [Accepted: 02/08/2019] [Indexed: 06/09/2023]
Abstract
Biomechanical models with different levels of complexity are of advantage to understand the underlying principles of legged locomotion. Following a minimalistic approach of gradually increasing model complexity based on Template & Anchor concept, in this paper, a spring-loaded inverted pendulum-based walking model is extended by a rigid trunk, hip muscles and reflex control, called nmF (neuromuscular force modulated compliant hip) model. Our control strategy includes leg force feedback to activate hip muscles (originated from the FMCH approach), and a discrete linear quadratic regulator for adapting muscle reflexes. The nmF model demonstrates human-like walking kinematic and dynamic features such as the virtual pendulum (VP) concept, inherited from the FMCH model. Moreover, the robustness against postural perturbations is two times higher in the nmF model compared to the FMCH model and even further increased in the adaptive nmF model. This is due to the intrinsic muscle dynamics and the tuning of the reflex gains. With this, we demonstrate, for the first time, the evolution of mechanical template models (e.g. VP concept) to a more physiological level (nmF model). This shows that the template model can be successfully used to design and control robust locomotor systems with more realistic system behaviours.
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Affiliation(s)
- Ayoob Davoodi
- School of ECE, Control and Intelligent Processing Center of Excellence (CIPCE), College of Engineering, University of Tehran, Tehran, Iran
| | - Omid Mohseni
- School of ECE, Control and Intelligent Processing Center of Excellence (CIPCE), College of Engineering, University of Tehran, Tehran, Iran
| | - Andre Seyfarth
- Lauflabor Locomotion Lab, Centre for Cognitive Science, TU Darmstadt, Germany
| | - Maziar A. Sharbafi
- School of ECE, Control and Intelligent Processing Center of Excellence (CIPCE), College of Engineering, University of Tehran, Tehran, Iran
- Lauflabor Locomotion Lab, Centre for Cognitive Science, TU Darmstadt, Germany
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18
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Vielemeyer J, Grießbach E, Müller R. Ground reaction forces intersect above the center of mass even when walking down visible and camouflaged curbs. J Exp Biol 2019; 222:jeb.204305. [DOI: 10.1242/jeb.204305] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/04/2019] [Accepted: 06/24/2019] [Indexed: 11/20/2022]
Abstract
A main objective in bipedal walking is controlling the whole body to stay upright. One strategy that promotes this objective is to direct the ground reaction forces (GRF) to a point above the center of mass (COM). In humans such force patterns can be observed for unperturbed walking, but it is not known if the same strategy is used when humans walk across a change in walkway height. In this study, eleven volunteers stepped down off a visible (0, 10, and 20 cm) and a camouflaged (0 or 10 cm) curb while walking at two different speeds (1.2±0.1 m s−1 and 1.7±0.1 m s−1). The results showed that in all conditions the GRF pointed predominantly above the COM. Vectors directed from the center of pressure (COP) to the intersection point (IP) closely fitted the measured GRF direction not only in visible conditions (R2>97.5%), but also in camouflaged curb negotiation (R2>89.8%). Additional analysis of variables included in the calculation of the IP location showed considerable differences for the camouflaged curb negotiation: Compared to level walking, the COP shifted posterior relative to the COM and the vertical GRF were higher in the beginning and lower in later parts of the stance phase of the perturbed contact. The results suggest that IP behavior can be observed for both visible and camouflaged curb negotiation. For further regulation of the whole body angle the asymmetrical vertical GRF could counteract the effect of a posterior shifted step.
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Affiliation(s)
| | | | - Roy Müller
- Friedrich-Schiller-University Jena, Germany
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19
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Blickhan R, Andrada E, Hirasaki E, Ogihara N. Global dynamics of bipedal macaques during grounded and aerial running. J Exp Biol 2018; 221:221/24/jeb178897. [DOI: 10.1242/jeb.178897] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/05/2018] [Accepted: 10/15/2018] [Indexed: 02/02/2023]
Abstract
ABSTRACT
Macaques trained to perform bipedally use grounded running, skipping and aerial running, but avoid walking. The preference for grounded running across a wide range of speeds is substantially different from the locomotion habits observed in humans, which may be the result of differences in leg compliance. In the present study, based on kinematic and dynamic observations of three individuals crossing an experimental track, we investigated global leg properties such as leg stiffness and viscous damping during grounded and aerial running. We found that, in macaques, similar to human and bird bipedal locomotion, the vector of the ground reaction force is directed from the center of pressure (COP) to a virtual pivot point above the center of mass (COM). The visco-elastic leg properties differ for the virtual leg (COM-COP) and the effective leg (hip-COP) because of the position of the anatomical hip with respect to the COM. The effective leg shows damping in the axial direction and positive work in the tangential component. Damping does not prevent the exploration of oscillatory modes. Grounded running is preferred to walking because of leg compliance. The transition from grounded to aerial running is not accompanied by a discontinuous change. With respect to dynamic properties, macaques seem to be well placed between bipedal specialists (humans and birds). We speculate that the losses induced in the effective leg by hip placement and slightly pronograde posture may not pay off by facilitating stabilization, making bipedal locomotion expensive and insecure for macaques.
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Affiliation(s)
- Reinhard Blickhan
- Science of Motion, Friedrich-Schiller-University, 07749 Jena, Germany
| | - Emanuel Andrada
- Institute of Zoology and Evolutionary Research, Friedrich-Schiller University, 07743 Jena, Germany
| | - Eishi Hirasaki
- Primate Research Institute, Kyoto University, Inuyama, Aichi 484-8506, Japan
| | - Naomichi Ogihara
- Department of Mechanical Engineering, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama 223-8522, Japan
- Department of Biological Science, Graduate School of Science, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan
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20
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Haeufle DFB, Schmortte B, Geyer H, Müller R, Schmitt S. The Benefit of Combining Neuronal Feedback and Feed-Forward Control for Robustness in Step Down Perturbations of Simulated Human Walking Depends on the Muscle Function. Front Comput Neurosci 2018; 12:80. [PMID: 30356859 PMCID: PMC6190627 DOI: 10.3389/fncom.2018.00080] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/01/2017] [Accepted: 09/10/2018] [Indexed: 11/28/2022] Open
Abstract
It is often assumed that the spinal control of human locomotion combines feed-forward central pattern generation with sensory feedback via muscle reflexes. However, the actual contribution of each component to the generation and stabilization of gait is not well understood, as direct experimental evidence for either is difficult to obtain. We here investigate the relative contribution of the two components to gait stability in a simulation model of human walking. Specifically, we hypothesize that a simple linear combination of feedback and feed-forward control at the level of the spinal cord improves the reaction to unexpected step down perturbations. In previous work, we found preliminary evidence supporting this hypothesis when studying a very reduced model of rebounding behaviors. In the present work, we investigate if the evidence extends to a more realistic model of human walking. We revisit a model that has previously been published and relies on spinal feedback control to generate walking. We extend the control of this model with a feed-forward muscle activation pattern. The feed-forward pattern is recorded from the unperturbed feedback control output. We find that the improvement in the robustness of the walking model with respect to step down perturbations depends on the ratio between the two strategies and on the muscle to which they are applied. The results suggest that combining feed-forward and feedback control is not guaranteed to improve locomotion, as the beneficial effects are dependent on the muscle and its function during walking.
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Affiliation(s)
- Daniel F B Haeufle
- Multi-Level Modeling in Motor Control and Rehabilitation Robotics, Hertie Institute for Clinical Brain Research and Center for Integrative Neuroscience, Eberhard-Karls Universität Tübingen, Tübingen, Germany
| | - Birgit Schmortte
- Biomechanics and Biorobotics, Stuttgart Center for Simulation Sciences (SC SimTech), University of Stuttgart, Stuttgart, Germany
| | - Hartmut Geyer
- Robotics Institute, Carnegie Mellon University, Pittsburgh, PA, United States
| | - Roy Müller
- Institute of Sport Science, Friedrich Schiller University of Jena, Jena, Germany.,Department of Neurology and Department of Orthopedic Surgery, Klinikum Bayreuth GmbH, Bayreuth, Germany
| | - Syn Schmitt
- Biomechanics and Biorobotics, Stuttgart Center for Simulation Sciences (SC SimTech), University of Stuttgart, Stuttgart, Germany
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21
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AminiAghdam S, Blickhan R. The effects of an expected twofold perturbation on able-bodied gait: Trunk flexion and uneven ground surface. Gait Posture 2018; 61:431-438. [PMID: 29477127 DOI: 10.1016/j.gaitpost.2018.02.013] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 10/01/2017] [Revised: 01/31/2018] [Accepted: 02/13/2018] [Indexed: 02/02/2023]
Abstract
BACKGROUND Although alteration in trunk orientation and ground level potentially affects gait pattern individually, it is plausible to examine the interaction effects of such factors. OBJECTIVE The interaction effects between trunk-flexed gait and uneven ground on able-bodied gait pattern. METHODS For twelve able-bodied participants, we compared the adaptive mechanisms in kinematics, kinetics and spatial-temporal parameters of gait (STPG) with bent postures (30° and 50° of sagittal trunk flexion) across uneven surface (10-cm visible drop at the sight of the second ground contact) with that of upright posture on even ground surface. RESULTS Significant between-posture changes on the uneven surface included a decreased peak ankle dorsiflexion angle and vertical ground reaction force (GRF) 2nd peak as trunk flexion increased. Moreover, significant between-ground surface changes for each individual gait posture were a decreased peak ankle dorsiflexion angle and ankle range of motion irrespective of trunk posture and a reduced trailing step duration and vertical GRF 2nd peak in upright walking. The spatial parameters of gait remained unchanged across uneven surface, but at the expense of pronounced adjustments in temporal parameters, i.e., a more conservative gait strategy, indicating a distinct contribution from spatial and temporal strategies in trunk-flexed gaits. This was associated with greater peak flexion angles across lower limb joints regardless of trunk posture, alongside with an exertion of greater forces at faster rates earlier in stance and attenuated forces at lower rates at the end of the stance (i.e., early-skewed vertical GRF). When considering the main effect of posture, a more crouched gait was executed with reduced temporal parameters (except for cadence) and an early-skewed vertical GRF patterns with increasing trunk flexion. SIGNIFICANCE These results may have implications for understanding the nature of compensatory mechanisms in gait pattern of older adults and/or patients with altered trunk orientations while accommodating uneven ground.
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Affiliation(s)
- Soran AminiAghdam
- Department of Motion Science, Institute of Sport Science, Friedrich Schiller University Jena, Seidelstraße 20, 07740 Jena, Germany.
| | - Reinhard Blickhan
- Department of Motion Science, Institute of Sport Science, Friedrich Schiller University Jena, Seidelstraße 20, 07740 Jena, Germany
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