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BioMed Research International

Volume 2014 (2014), Article ID 547242, 12 pages

http://dx.doi.org/10.1155/2014/547242

## Human Locomotion under Reduced Gravity Conditions: Biomechanical and Neurophysiological Considerations

^{1}Centre of Space Bio-Medicine, University of Rome Tor Vergata, Via Montpellier 1, 00133 Rome, Italy^{2}Laboratory of Neuromotor Physiology, IRCCS Santa Lucia Foundation, Via Ardeatina 306, 00179 Rome, Italy^{3}Department of Systems Medicine, University of Rome Tor Vergata, Via Montpellier 1, 00133 Rome, Italy

Received 24 April 2014; Accepted 12 June 2014; Published 28 August 2014

Academic Editor: Mariano Bizzarri

Copyright © 2014 Francesca Sylos-Labini et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

#### Abstract

Reduced gravity offers unique opportunities to study motor behavior. This paper aims at providing a review on current issues of the known tools and techniques used for hypogravity simulation and their effects on human locomotion. Walking and running rely on the limb oscillatory mechanics, and one way to change its dynamic properties is to modify the level of gravity. Gravity has a strong effect on the optimal rate of limb oscillations, optimal walking speed, and muscle activity patterns, and gait transitions occur smoothly and at slower speeds at lower gravity levels. Altered center of mass movements and interplay between stance and swing leg dynamics may challenge new forms of locomotion in a heterogravity environment. Furthermore, observations in the lack of gravity effects help to reveal the intrinsic properties of locomotor pattern generators and make evident facilitation of nonvoluntary limb stepping. In view of that, space neurosciences research has participated in the development of new technologies that can be used as an effective tool for gait rehabilitation.

#### 1. Introduction

Life evolved in the presence of gravity, which has two major impacts on motor functions: specific body orientation in space and antigravity muscle tone and specific rules of motion in the gravity field. Gravity plays an essential role in terrestrial locomotion. The dominant hypothesis regarding templates for bipedal walking in the gravity field is the pendular mechanism of walking, up to intermediate speeds, and the bouncing mechanism of running, up to the highest speeds attainable [1]. The inverted pendulum-like mechanism of energy exchange taking place during walking would be optimized at slower speeds in reduced gravity [2, 3]. Despite our intuitive appreciation for the influence of gravity, we do not fully understand how gravity interacts with other forces, such as inertia, to affect many biological and physical processes and what type of gait and/or limb synchronization (trot, gallop, lateral sequence walk, pace, skipping, etc.) would evolve at other gravity levels.

Understanding locomotion characteristics is critical for those working in the area of gait biomechanics and neurophysiology of pattern generation networks and of exercise countermeasures for astronauts. Many researchers have investigated the effects of reducing and eliminating gravity on locomotive kinematics and kinetics [4–8]. Others have studied locomotion in actual weightlessness or hypogravity [9, 10]. The techniques have included supine and erect cable suspension, parabolic aircraft flights, water immersion, and centrifugal methods [6]. Increased knowledge of locomotion kinematics, kinetics, muscular activity patterns, and sensory feedback modulation may help to facilitate more effective exercise countermeasures, develop innovative technologies for gait rehabilitation, and provide new insights into our understanding of the physiological effects of gravity. In this review, we will consider the known tools and techniques used for hypogravity simulation and their effects on human locomotion.

#### 2. Methods and Apparatuses for Reduced Gravity Simulation

Spaceflights are the more direct way to assess the effect of gravity on locomotion, but studying locomotion in actual hypogravity is demanding and expensive [6]. The drawbacks to spaceflight experiments include difficulty in using necessary data collection hardware and performing an experiment with adequate sample size. Parabolic flight offers a viable alternative, but periods of weightlessness are limited to ~20 s, which only allows for acute locomotion investigations [11].

There are several apparatuses that have been used in the past to simulate reduced gravity locomotion. One of the more used systems is the vertical body weight support (BWS) (Figures 1(a) and 1(b)). These kinds of simulators are usually obtained supporting the subjects in a harness that applies a controlled upward force. For example, the WARD [12] mechanism consists of a mechanical gear driven by a pneumatic cylinder (Figure 1(b)). It is held in a cart that slides forward and backward over a track. Low-friction sliding of the mechanism ensures that only vertical forces are applied to the subject. Vertical BWS systems may also make use of a small increase in air pressure around the user’s lower body to create a lifting force approximately at the person’s center of mass [13]. Other vertical systems [8, 14] use a series of compliant rubber spring elements that are stretched to create the upward (to simulate gravity less than 1 g) or downward (to simulate gravity greater than 1 g) force (Figure 1(a)). The main limitation of these reduced gravity simulators (in addition to high local skin pressure via a harness) is that each supporting limb experiences a simulated reduction of gravity proportional to the applied force, while the swinging limb experiences 1 g.

The tilted BWS systems (Figures 1(c) and 1(d)) are constructed to simulate more realistic effects of gravity changes on both the stance and swing legs in the sagittal plane. These simulators, that have been used in the past by both Roscosmos (Russian Federal Space Agency) and NASA to train astronauts before space flights [15–17], are based on the idea of neutralizing the component of the gravity force normal to the lying surface [mg cos(α), where α is the angle of inclination], while the component of the gravity force acting on the body and swinging limbs in the sagittal plane is reduced in relation to the tilt angle [mg sin(α)]. A similar concept has been used in the reduced gravity simulator (Figure 1(d)) designed by Ivanenko et al. (Italian patent number Rm2007A000489): the subject lies on the side on a tilted couch (up to 40° from the horizontal position) with both legs suspended in the exoskeleton and steps on the treadmill, which is tilted to the same angle [7, 18, 19]. This simulator included additional mass of the tilted chassis (~15 kg) and exoskeleton (1.5 kg for each leg). Thus the entire assembly had a mass of ~18 kg that increased both gravitational and inertial forces during walking.

Another class of gravity-related manipulations is “subject load device” (SLD) that applies a gravity replacement force in the direction down to the surface. This type of SLD can be used in the vertical systems to increase the gravity [8] or in the lying position (Figure 1(e)). When an astronaut walks or runs on a treadmill in weightlessness, a subject load device is used to return him or her back to the treadmill belt and to load the limbs. The gravity replacement load is transferred, via a harness, to the pelvis and/or the shoulders. Gravity simulators can simulate active treadmill running in weightlessness and provide a method of testing proposed improvements in SLD design and exercise protocols [20, 21]. In supine suspension systems (Figure 1(e)), subjects are suspended horizontally attached to latex rubber cords. A cloth sleeve and rubber cord are attached each to the upper and lower arms and legs (eight total) [20]. The limitation of this system is a local pressure on some parts of the body (e.g., shoulders) and modifications in the swing phase dynamics due to nonconstant forces of rubber cords and gravity acting in the anterioposterior direction of leg movements (Figure 1(e)).

Based on the passive gravity balancing technology, Ma et al. [22, 23] proposed a design concept of a passive reduced gravity simulator to simulate human walking or other activities in a reduced-gravity environment for potential applications of training astronauts and space travelers (Figure 1(f)). The system consists of a 3-DOF dual parallelogram mechanism, a 2-DOF torso support assembly, and a pair of 3-DOF leg exoskeletons. The weight of the body and the legs is compensated by the spring-balanced dual-parallelogram mechanism and torso-support assembly, and the weight of each leg is compensated by a leg exoskeleton. The system is capable of simulating human walking and jumping in a hypogravity environment [24]. Hardware prototyping and experimental study of the new system are currently underway.

In the following section we discuss the basic principles of adaptation of locomotion to different gravity values using the technologies described here.

#### 3. Biomechanical Aspects of Locomotion in Reduced Gravity

Despite some differences, all reduced gravity simulation approaches show a reasonable approximation of the reduction in the gravitational force acting on the center of body mass (COM) and similar results concerning the speed of gait transitions. An important consequence of the pendulum-like behavior of the limbs in the gravity field is the principle of dynamic similarity [29], which states that geometrically similar bodies that rely on pendulum-like mechanics of movement have similar gait dynamics at the same Froude number: where is the speed of locomotion, is the acceleration of gravity, and is a characteristic leg length. That is, all lengths, times, and forces scale by the same factors. In order to optimize the recovery of mechanical energy, the kinetic energy and the potential energy curves must be equal in amplitude and opposite in phase, as in a pendulum. Assuming that the change in kinetic energy within each step is an increasing function of the walking speed (while the change in the potential energy is proportional to gravity), the hypothesis was proposed that the inverted pendulum-like mechanism of energy exchange during walking would be optimized at slower speeds in reduced gravity [3, 10]. An optimal exchange between potential and kinetic energies of the COM occurs at Fr ~ 0.25 [2] (Figure 2(a)). Even though specific limb segment proportions may play an essential role in the kinematics and energetics of walking [30], animal anatomy and individualized limb segment dimensions are optimized in such a way that the Froude number can explain optimal walking velocity.

On Earth, walking and running gaits are usually adopted for different speeds of locomotion, with a preferred transition occurring at ~2 m/s for human adults and at slow speeds for children (Fr ~ 0.5), in accordance with the dynamic similarity theory [29]. Different studies [4, 18] demonstrated that, at lower levels of gravity, the walk-run transition occurred at progressively slower absolute speeds but at approximately the same Froude number (Figure 2(a)).

Despite similarities in approximating reduced gravity, there are nevertheless essential differences between different simulation approaches. The variables that showed the greatest differences between vertical and tilted reduced gravity systems (Figure 1) were maximal longitudinal foot velocity and longitudinal foot excursion (Figure 2(c)), in agreement with significant influences of gravity on swing leg dynamics [7]. Even though the maximal longitudinal foot velocity for the tilted BWS condition decreased only slightly relative to the vertical BWS, however, the actual decrement was much more obvious if one takes into account that it was significantly compensated for or masked by increments in the stride length [7]. A previous modeling study also predicted differential effects of gravity during stance and swing phases [31]. In fact, the changes in the longitudinal foot excursion were basically opposite for the vertical and tilted BWS systems (Figure 2(c)). For the former system the amplitude of longitudinal foot motion decreased, while for the latter system it increased relative to the 1 g condition. Considering a monotonic (presumably proportional [32]) relationship between the stride length and the maximal foot velocity at a given gravity level (1 g), the peak foot velocity would be expected to be ~1.5 times higher for the vertical than for tilted BWS condition if the stride lengths were similar (Figure 2(c)). The previous studies on parabolic flights investigating the effect of gravity on walking mechanics demonstrated increments in the swing phase duration (by 29% at 0.25 g [33]; see also [11]), in line with the substantial contribution of gravity to the swing leg. Overall, the findings demonstrate that gravity acting on both stance and swing legs plays an important role in shaping locomotor patterns.

#### 4. Nonlinear Reorganization of EMG Patterns

It is known that load plays a crucial role in shaping patterned motor output during stepping [34–36], and humans produce a specific heel-to-toe rolling pattern during stance in normal gravity conditions. Ground contact forces reflect the net vertical and shear forces acting on the contact surface and result from the sum of the mass-acceleration products of all body segments while the foot is in contact with ground [37]. Simulating reduced gravity between 0.05 and 1 g reveals drastic changes of kinetic parameters but limited changes of the kinematic coordination [28]. The reported accurate control of limb/foot kinematics [28] may depend on load- and displacement-compensation mechanisms working effectively throughout a wide range of ground contact forces, from full body weight up to <5% of its value. The peak vertical contact forces decrease proportionally to gravity, but at 0.05 g they are applied at the forefoot only (Figure 2(b)). During lower limb loading, a variety of receptors can be activated, such as Golgi tendon organs, cutaneous receptors of the foot, and spindles from stretched muscles [36]. These sensory signals interact with central rhythm-generating centers and help in shaping the motor patterns, controlling phase-transitions, and reinforcing ongoing activity [38, 39]. For instance, loading of the limb enhances the activity in antigravity muscles during stance and delays the onset of the next flexion [40]. It is important to understand the mechanisms of sensorimotor adaptation to the biomechanics of locomotion and foot placement/loading in heterogravity, especially to longer-term changes of load.

A key feature of adaptation to hypogravity is a remarkable nonlinear scaling of muscle activity patterns contrary to monotonic changes in foot loading. The simplest kind of change with simulated reduced gravity [28] was seen in ankle extensors: the mean amplitude of activity decreased systematically with decreasing simulated gravity, consistent with their antigravity function [35, 41]. By contrast, the behavior of other muscles could not be predicted simply on the basis of the static load during stance. The amplitude and pattern of muscle activity generally depended on speed and could vary nonmonotonically with body unloading. There was also a complex reorganization of the pattern of activity of thigh muscles with decreasing simulated gravity, as well as noteworthy individual differences [28]. Figure 3(a) illustrates an example of nonlinear reorganization of EMG patterns in one subject walking at 3 km/h. With body weight unloading, gluteus maximus and distal leg extensors decreased their activity, while other muscles demonstrated a “paradoxical” increment of activation (e.g., quadriceps) or considerable changes in the activation waveforms (hamstring muscles). Note also the absence of the typical burst of RF at the beginning of the swing phase at low simulated gravity levels (Figure 3(a)), consistent with other studies on the effect of body weight unloading [42] and walking speed [43]. It is unlikely that these changes are due to the order of trials or the consequence of learning the hypogravity condition since presentation order of speeds and BWS was randomized across sessions and experiments [28]. Also, the duration of each trial was ~1 min, with at least 2 min rest between trials, and a short (~30 s) training period of walking at different speeds was allowed for each simulated reduced gravity level before the actual data collection was begun (the walking patterns typically adapt rapidly to simulated reduced gravity [4, 5]). This reorganization is presumably related to the multifunctional (biarticular) action of these muscles and to the need to repartition the joint torque contributions across different muscles as a function of the changes induced by gravity. At 1 g, the main peak of m. biceps femoris activity occurring before heel-contact serves to decelerate the swinging limb [37]. However, as gravity is decreased, its main activity occurs in mid-stance and late stance, presumably in relation to the need to assist vaulting over an inverted pendulum of the stance limb and swing initiation.

There might be various factors accounting for the nonlinear reorganization of muscle activity patterns with gravity. To start with, nonlinear scaling also occurs during walking at different speeds at 1 g. For instance, VL and RF activity is quite small at low speeds (less than ~3 km/h) but becomes prominent at higher speeds (>4 km/h) (Figure 3(b)), a speed effect consistent with that reported in the literature [28, 43, 45, 46]. Given that, it should be stressed that walking at lower gravity levels at the same speed (Figure 3(a)) corresponds to walking at higher speeds if one uses the Froude number as a dimensionless parameter (e.g., walk-run transition at 0.25 g occurs at ~4 km/h, Figure 2(a)), so that “paradoxical” increments of VL and RF EMG activity in Figure 3(a) may reflect higher biomechanical demands on proximal leg muscles at higher dimensionless speeds. Nonlinear reorganization of EMG patterns was also observed when using exoskeleton robotic devices that provide body weight support [42, 47]. Changes in the body reference configuration during stance (slightly flexed posture [48, 49]) may contribute to a greater activity of proximal extensors as well. Finally, there is a differential effect of speed on quadriceps muscle activity at reduced gravity levels: VL and RF activity increases at low speeds (<3 km/h) while it decreases at a high speed (5 km/h) (Figure 3(b)). Potential nonlinear scaling of muscle activity for most whole body movements in microgravity should also be taken into account for exercise countermeasures for astronauts.

#### 5. Different Gaits

Considering complex, high-dimensional, dynamically coupled interactions between an organism and gravitational environment, in principle, one challenging solution is to adopt different coordination patterns and not only an optimal speed of locomotion. Are different gaits possible on other planets?

One approach to study locomotor adaptations is to look at the effect of gravity on gait transitions. A gait has been defined as “a pattern of locomotion characteristic of a limited range of speeds described by quantities of which one or more change discontinuously at transitions to other gaits” [29]. An important aspect of gait transitions is a discontinuous switch that occurs at some point while varying the speed of progression (although some exceptions may exist [50–52]). As already discussed (Figure 2(a)), gravity has a strong effect on the speed at which gait transitions occur (Fr ~0.5). Surprisingly, however, we found [18, 19] that at lower levels of simulated gravity the transition between walking and running was generally gradual, without any noticeable abrupt change in gait parameters or EMG bursts (Figure 4(a)). This was associated with a significant prolongation of the swing phase, whose duration became virtually equal to that of stance in the vicinity of the walk-run transition speed, and with a gradual shift from inverted-pendulum gait (walking) to bouncing gait (running). A lack of discontinuous changes in the pattern of speed-dependent locomotor characteristics in a hypogravity environment (Figure 4(b)) is consistent with the idea of a continuous shift in the state of a given set of central pattern generators, rather than the activation of a separate set of central pattern generators for each distinct gait [19].

Interestingly, the smoothness of gait transitions is accompanied by a gradual shift from inverted-pendulum gait to bouncing gait, resulting in a “paradoxical” inverted-pendulum running in the vicinity of run-walk and walk-run transitions [18]. The swing phase may have more influence on gait than it was previously thought. For instance, relatively slower swing and longer foot excursions (tilted BWS condition, Figure 2(c)) may raise questions about optimality or comfort of walking and could account for potentially different preferred gaits, such as loping on the Moon observed in Apollo astronauts (though the Lunar suit limits the range of motion in the leg joints and may also contribute to the loping gait on the Moon [9]). The resulting changes in the intersegmental and interlimb coordination may in turn affect the COM motion. Overall, the results support the idea of looking for new forms of locomotion (both bipedal and quadrupedal) in a heterogravity environment [54] based on the interplay between stance and swing leg dynamics, altered interlimb coupling, and altered center of mass movements.

Other significant influences of gravity on short-term and long-term gait adaptations may be related to its effects on the body reference configuration [48, 49] and anticipatory mechanisms of limb and body movements [55, 56]. For instance, the basis of habitual human posture is postural tone of the skeletal muscles and microgravity elicits substantial changes in muscle tone and posture [48, 49]. Based on clinical observations, it has been recently argued that any reflection on the nature and choice of preferred gait (e.g., bipedal versus quadrupedal) should include a consideration of the mechanisms determining the choice of unconscious habitual posture [57]. Also, in analogy with the results based on upper-limb movements related to time-to-contact [55] or movement planning [58], anticipatory postural and locomotor adjustments for lower limb movements (e.g., for the control of heel strike or accurate foot placement) should take gravity into consideration. Therefore, altered gravity conditions may also affect locomotor-related tasks such as the negotiation of stationary and moving obstructions during walking or gait initiation/termination [56, 59, 60].

Finally, the repertoire of known gaits can be expanded to a variety of animals. For instance, on Earth only a few legged species, such as water strider insects and some aquatic birds and lizards, can run on water. For most other species, including humans, this is precluded by body size and proportions, lack of appropriate appendages, and limited muscle power. However, if gravity is reduced to less than Earth’s gravity, running on water should require less muscle power. Recently, Minetti et al. [53] used this hydrodynamic model of Glasheen and McMahon [61] to predict the gravity levels at which humans should be able to run on water and tested the hypothesis in the laboratory using a reduced gravity simulator (Figure 5). The results showed that a hydrodynamic model of Basilisk lizards running on water [61] can also be applied to humans, despite the enormous difference in body size and morphology. Particularly, 22% of Earth’s gravity is the maximum at which humans can run on water, when assisted by a small rigid fin (Figure 5) [53]. It is also worth noting the limitations for our musculoskeletal system for producing force/power (endurance); for instance, the stride frequency in humans is limited to about 2 Hz, whatever the planet is. On Earth, the biggest animal that can run on water is likely Western Grebes, and even these birds can run only for several seconds since the force production is basically anaerobic (participants in [53] could run at simulated “Moon” gravity only for ~10 s). In contrast, at reduced gravity (Moon), these birds could run on water in a charming manner for much longer time.

#### 6. Clinical Implications

Reduced gravity also offers unique opportunities for adjusting the basic patterns to altered locomotor conditions for gait rehabilitation. Body weight support systems coupled with robotic devices or pharmacologic treatments are now often used in the rehabilitation practice to assist physical therapy of individuals with neurological disorders. We will not review any detailed analysis of clinical outcomes for ambulation when using locomotor training with body weight support systems and refer to other reviews [64]. Nevertheless, it is worth emphasizing a facilitatory effect of the lack of gravity on rhythmogenesis and its potential for gait recovery.

Novel pharmacological strategies [65] and electromagnetic stimulation techniques [62, 66–68] are being developed aimed at modulating spinal activity and restoring the locomotor function. The spinal central pattern generator (CPG) circuitry can be easily activated in healthy humans in a gravity neutral position by applying tonic central and peripheral sensory inputs. To minimize interference with the ongoing task of body weight and balance control, stepping movements are elicited during air-stepping in the absence of gravity influences and external resistance. Figure 6 illustrates examples of nonvoluntary rhythmic movements of the suspended legs induced by electrical stimulation of peroneal nerve [62] and during hand walking [63]. It has been suggested that functional multisensory stimulations and a functional neural coupling between arm and legs can inspect CPG access by sensory and central activations and entrain locomotor neural networks and promote gait recovery. Such investigations may contribute to the clinical development of central pattern generator-modulating therapies and neuroprosthetic technologies [65, 69].

#### 7. Concluding Remarks

This perspective outlines an interdisciplinary approach to extend our knowledge on adaptation of human locomotion to a hypogravity environment, including biomechanical, neurophysiological, and comparative aspects, effective exercise countermeasures for astronauts, and even exobiology of new forms of locomotion on different planets. The tools and techniques used for hypogravity simulation and their effects on human locomotion provide new insights into our understanding of the physiological effects of gravity. The beneficial effect of weightlessness on rhythmogenesis would further enhance the utility of this approach and developments of innovative technologies for gait rehabilitation.

#### Conflict of Interests

The authors declare that there is no conflict of interests regarding the publication of this paper.

#### Acknowledgments

This work was supported by the Italian Health Ministry, Italian Ministry of University and Research (PRIN project), and Italian Space Agency (DCMC, CRUSOE, and COREA grants).

#### References

- R. J. Full and D. E. Koditschek, “Templates and anchors: neuromechanical hypotheses of legged locomotion on land,”
*The Journal of Experimental Biology*, vol. 202, no. 23, pp. 3325–3332, 1999. View at Google Scholar · View at Scopus - A. E. Minetti, “Invariant aspects of human locomotion in different gravitational environments,”
*Acta Astronautica*, vol. 49, no. 3–10, pp. 191–198, 2001. View at Publisher · View at Google Scholar · View at Scopus - R. Margaria and G. A. Cavagna, “Human locomotion in subgravity,”
*Aerospace Medicine*, vol. 35, pp. 1140–1146, 1964. View at Google Scholar · View at Scopus - R. Kram, A. Domingo, and D. P. Ferris, “Effect of reduced gravity on the preferred walk-run transition speed,”
*The Journal of Experimental Biology*, vol. 200, no. 4, pp. 821–826, 1997. View at Google Scholar · View at Scopus - J. M. Donelan and R. Kram, “The effect of reduced gravity on the kinematics of human walking: a test of the dynamic similarity hypothesis for locomotion,”
*The Journal of Experimental Biology*, vol. 200, no. 24, pp. 3193–3201, 1997. View at Google Scholar · View at Scopus - B. L. Davis and P. R. Cavanagh, “Simulating reduced gravity: a review of biomechanical issues pertaining to human locomotion,”
*Aviation Space and Environmental Medicine*, vol. 64, no. 6, pp. 557–566, 1993. View at Google Scholar · View at Scopus - F. Sylos-Labini, Y. P. Ivanenko, G. Cappellini, A. Portone, M. J. Maclellan, and F. Lacquaniti, “Changes of gait kinematics in different simulators of reduced gravity,”
*Journal of Motor Behavior*, vol. 45, no. 6, pp. 495–505, 2013. View at Google Scholar - G. A. Cavagna, A. Zamboni, T. Faraggiana, and R. Margaria, “Jumping on the moon: power output at different gravity values,”
*Aerospace Medicine*, vol. 43, no. 4, pp. 408–414, 1972. View at Google Scholar · View at Scopus - C. E. Carr and J. McGee, “The apollo number: space suits, self-support, and the walk-run transition,”
*PLoS ONE*, vol. 4, no. 8, Article ID e6614, 2009. View at Publisher · View at Google Scholar · View at Scopus - G. A. Cavagna, P. A. Willems, and N. C. Heglund, “The role of gravity in human walking: pendular energy exchange, external work and optimal speed,”
*Journal of Physiology*, vol. 528, part 3, pp. 657–668, 2000. View at Publisher · View at Google Scholar · View at Scopus - J. K. De Witt, G. P. Perusek, B. E. Lewandowski et al., “Locomotion in simulated and real microgravity: horizontal Suspension vs. parabolic flight,”
*Aviation Space and Environmental Medicine*, vol. 81, no. 12, pp. 1092–1099, 2010. View at Publisher · View at Google Scholar · View at Scopus - F. Gazzani, A. Fadda, M. Torre, and V. Macellari, “WARD: a pneumatic system for body weight relief in gait rehabilitation,”
*IEEE Transactions on Rehabilitation Engineering*, vol. 8, no. 4, pp. 506–513, 2000. View at Publisher · View at Google Scholar · View at Scopus - A. M. Grabowski and R. Kram, “Effects of velocity and weight support on ground reaction forces and metabolic power during running,”
*Journal of Applied Biomechanics*, vol. 24, no. 3, pp. 288–297, 2008. View at Google Scholar · View at Scopus - J. P. He, R. Kram, and T. A. McMahon, “Mechanics of running under simulated low gravity,”
*Journal of Applied Physiology*, vol. 71, no. 3, pp. 863–870, 1991. View at Google Scholar · View at Scopus - V. A. Bogdanov, V. S. Gurfinkel, and V. E. Panfilov, “Human motion under lunar gravity conditions (Human performance in various locomotive tasks under simulated lunar reduced gravity conditions, classifying test stands and equipment),”
*Kosmicheskaya Biologiya i Meditsina*, vol. 5, pp. 3–13, 1971. View at Google Scholar - J. R. Hansen,
*Spaceflight Revolution: NASA Langley Research Center from Sputnik to Apollo*, National Aeronautics and Space Administration, Washington, DC, USA, 1995. - D. E. Hewes, “Reduced-gravity simulators for studies of man’s mobility in space and on the moon,”
*Human Factors*, vol. 11, no. 5, pp. 419–431, 1969. View at Google Scholar · View at Scopus - Y. P. Ivanenko, F. Sylos-Labini, G. Cappellini, V. Macellari, J. McIntyre, and F. Lacquaniti, “Gait transitions in simulated reduced gravity,”
*Journal of Applied Physiology*, vol. 110, no. 3, pp. 781–788, 2011. View at Publisher · View at Google Scholar · View at Scopus - F. Sylos-Labini, Y. P. Ivanenko, G. Cappellini, S. Gravano, and F. Lacquaniti, “Smooth changes in the EMG patterns during gait transitions under body weight unloading,”
*Journal of Neurophysiology*, vol. 106, no. 3, pp. 1525–1536, 2011. View at Publisher · View at Google Scholar · View at Scopus - K. O. Genc, V. E. Mandes, and P. R. Cavanagh, “Gravity replacement during running in simulated microgravity,”
*Aviation Space and Environmental Medicine*, vol. 77, no. 11, pp. 1117–1124, 2006. View at Google Scholar · View at Scopus - J. L. McCrory, H. A. Baron, S. Balkin, and P. R. Cavanagh, “Locomotion in simulated microgravity: gravity replacement loads,”
*Aviation Space and Environmental Medicine*, vol. 73, no. 7, pp. 625–631, 2002. View at Google Scholar · View at Scopus - Q. Lu, C. Ortega, and O. Ma, “Passive gravity compensation mechanisms: technologies and applications,”
*Recent Patents on Engineering*, vol. 5, no. 1, pp. 32–44, 2011. View at Publisher · View at Google Scholar · View at Scopus - O. Ma and J. Wang, “Apparatus and method for reduced-gravity simulation,” 2012.
- Q. Lu, J. McAvoy, and O. Ma, “A simulation study of a reduced-gravity simulator for simulating human jumping and walking in a reduced-gravity environment,” in
*Proceedings of the ASME Dynamic Systems and Control Conference*, 2009. - A. E. Minetti, “Walking on other planets,”
*Nature*, vol. 409, no. 6819, pp. 467–469, 2001. View at Google Scholar · View at Scopus - T. M. Griffin, N. A. Tolani, and R. Kram, “Walking in simulated reduced gravity: mechanical energy fluctuations and exchange,”
*Journal of Applied Physiology*, vol. 86, no. 1, pp. 383–390, 1999. View at Google Scholar · View at Scopus - G. A. Cavagna, P. A. Willams, and N. C. Heglund, “Walking on mars,”
*Nature*, vol. 393, no. 6686, article 636, 1998. View at Google Scholar · View at Scopus - Y. P. Ivanenko, R. Grasso, V. Macellari, and F. Lacquaniti, “Control of foot trajectory in human locomotion: role of ground contact forces in simulated reduced gravity,”
*Journal of Neurophysiology*, vol. 87, no. 6, pp. 3070–3089, 2002. View at Google Scholar · View at Scopus - R. Alexander McN., “Optimization and gaits in the locomotion of vertebrates,”
*Physiological Reviews*, vol. 69, no. 4, pp. 1199–1227, 1989. View at Google Scholar · View at Scopus - F. Leurs, Y. P. Ivanenko, A. Bengoetxea et al., “Optimal walking speed following changes in limb geometry,”
*The Journal of Experimental Biology*, vol. 214, part 13, pp. 2276–2282, 2011. View at Publisher · View at Google Scholar · View at Scopus - D. A. Raichlen, “The effects of gravity on human walking: a new test of the dynamic similarity hypothesis using a predictive model,”
*The Journal of Experimental Biology*, vol. 211, no. 17, pp. 2767–2772, 2008. View at Publisher · View at Google Scholar · View at Scopus - Y. Osaki, M. Kunin, B. Cohen, and T. Raphan, “Three-dimensional kinematics and dynamics of the foot during walking: a model of central control mechanisms,”
*Experimental Brain Research*, vol. 176, no. 3, pp. 476–496, 2007. View at Publisher · View at Google Scholar · View at Scopus - J. F. Roberts, “Walking responses under lunar and low gravity conditions,”
*AMRL-TR*6570th, Aerospace Medical Research Laboratory, 1963. View at Google Scholar - S. H. Scott and D. A. Winter, “Biomechanical model of the human foot: kinematics and kinetics during the stance phase of walking,”
*Journal of Biomechanics*, vol. 26, no. 9, pp. 1091–1104, 1993. View at Publisher · View at Google Scholar · View at Scopus - S. J. Harkema, S. L. Hurley, U. K. Patel, P. S. Requejo, B. H. Dobkin, and V. R. Edgerton, “Human lumbosacral spinal cord interprets loading during stepping,”
*Journal of Neurophysiology*, vol. 77, no. 2, pp. 797–811, 1997. View at Google Scholar · View at Scopus - J. Duysens, F. Clarac, and H. Cruse, “Load-regulating mechanisms in gait and posture: comparative aspects,”
*Physiological Reviews*, vol. 80, no. 1, pp. 83–133, 2000. View at Google Scholar · View at Scopus - D. A. Winter,
*The Biomechanics and Motor Control of Human Gait: Normal, Elderly and Pathological*, University of Waterloo Press, Waterloo, Canada, 1991. - K. G. Pearson, “Common principles of motor control in vertebrates and invertebrates,”
*Annual Review of Neuroscience*, vol. 16, pp. 265–297, 1993. View at Publisher · View at Google Scholar · View at Scopus - K. G. Pearson, “Proprioceptive regulation of locomotion,”
*Current Opinion in Neurobiology*, vol. 5, no. 6, pp. 786–791, 1995. View at Publisher · View at Google Scholar · View at Scopus - J. Duysens, B. M. H. van Wezel, H. W. A. A. van de Crommert, M. Faist, and J. G. M. Kooloos, “The role of afferent feedback in the control of hamstrings activity during human gait,”
*European Journal of Morphology*, vol. 36, no. 4-5, pp. 293–299, 1998. View at Publisher · View at Google Scholar · View at Scopus - L. Finch, H. Barbeau, and B. Arsenault, “Influence of body weight support on normal human gait: development of a gait retraining strategy,”
*Physical Therapy*, vol. 71, no. 11, pp. 842–855, 1991. View at Google Scholar · View at Scopus - J. C. Moreno, F. Barroso, D. Farina et al., “Effects of robotic guidance on the coordination of locomotion,”
*Journal of NeuroEngineering and Rehabilitation*, vol. 10, no. 1, article 79, 2013. View at Publisher · View at Google Scholar · View at Scopus - A. R. den Otter, A. C. H. Geurts, T. Mulder, and J. Duysens, “Speed related changes in muscle activity from normal to very slow walking speeds,”
*Gait and Posture*, vol. 19, no. 3, pp. 270–278, 2004. View at Publisher · View at Google Scholar · View at Scopus - F. Saibene and A. E. Minetti, “Biomechanical and physiological aspects of legged locomotion in humans,”
*European Journal of Applied Physiology*, vol. 88, no. 4-5, pp. 297–316, 2003. View at Publisher · View at Google Scholar · View at Scopus - Y. P. Ivanenko, R. E. Poppele, and F. Lacquaniti, “Spinal cord maps of spatiotemporal alpha-motoneuron activation in humans walking at different speeds,”
*Journal of Neurophysiology*, vol. 95, no. 2, pp. 602–618, 2006. View at Publisher · View at Google Scholar · View at Scopus - A. Pépin, K. E. Norman, and H. Barbeau, “Treadmill walking in incomplete spinal-cord-injured subjects: 1. Adaptation to changes in speed,”
*Spinal Cord*, vol. 41, no. 5, pp. 257–270, 2003. View at Publisher · View at Google Scholar · View at Scopus - F. Sylos-Labini, V. La Scaleia, I. Pisotta et al., “EMG patterns during assisted walking in the exoskeleton,”
*Frontiers in Human Neuroscience*, vol. 8, article 423, 2014. View at Publisher · View at Google Scholar - J. Massion, K. Popov, J.-C. Fabre, P. Rage, and V. Gurfinkel, “Is the erect posture in microgravity based on the control of trunk orientation or center of mass position?”
*Experimental Brain Research*, vol. 114, no. 2, pp. 384–389, 1997. View at Publisher · View at Google Scholar · View at Scopus - G. Andreoni, C. Rigotti, G. Baroni, G. Ferrigno, N. A. Colford, and A. Pedotti, “Quantitative analysis of neutral body posture in prolonged microgravity,”
*Gait & Posture*, vol. 12, no. 3, pp. 235–242, 2000. View at Publisher · View at Google Scholar · View at Scopus - S. M. Gatesy and A. A. Biewener, “Bipedal locomotion: effects of speed, size and limb posture in birds and humans,”
*Journal of Zoology*, vol. 224, no. 1, pp. 127–147, 1991. View at Google Scholar - J. Rubenson, D. B. Heliams, D. G. Lloyd, and P. A. Fournier, “Gait selection in the ostrich: mechanical and metabolic characteristics of walking and running with and without an aerial phase,”
*Proceedings of the Royal Society B: Biological Sciences*, vol. 271, no. 1543, pp. 1091–1099, 2004. View at Publisher · View at Google Scholar · View at Scopus - L. Ren and J. R. Hutchinson, “The three-dimensional locomotor dynamics of African (
*Loxodonta africana*) and Asian (*Elephas maximus*) elephants reveal a smooth gait transition at moderate speed,”*Journal of the Royal Society Interface*, vol. 5, no. 19, pp. 195–211, 2008. View at Publisher · View at Google Scholar · View at Scopus - A. E. Minetti, Y. P. Ivanenko, G. Cappellini, N. Dominici, and F. Lacquaniti, “Humans running in place on water at simulated reduced gravity,”
*PLoS ONE*, vol. 7, no. 7, Article ID e37300, 2012. View at Publisher · View at Google Scholar · View at Scopus - M. Srinivasan and A. Ruina, “Computer optimization of a minimal biped model discovers walking and running,”
*Nature*, vol. 439, no. 7072, pp. 72–75, 2006. View at Publisher · View at Google Scholar · View at Scopus - J. McIntyre, M. Zago, A. Berthoz, and F. Lacquaniti, “Does the brain model Newton's laws?”
*Nature Neuroscience*, vol. 4, no. 7, pp. 693–694, 2001. View at Publisher · View at Google Scholar · View at Scopus - G. Clément, V. S. Gurfinkel, F. Lestienne, M. I. Lipshits, and K. E. Popov, “Adaptation of postural control to weightlessness,”
*Experimental Brain Research*, vol. 57, no. 1, pp. 61–72, 1984. View at Publisher · View at Google Scholar · View at Scopus - Y. P. Ivanenko, W. G. Wright, R. J. St George, and V. S. Gurfinkel, “Trunk orientation, stability, and quadrupedalism,”
*Frontiers in Neurology*, vol. 4, article 20, 2013. View at Publisher · View at Google Scholar · View at Scopus - C. Papaxanthis, T. Pozzo, K. E. Popov, and J. McIntyre, “Hand trajectories of vertical arm movements in one-G and zero-G environments. Evidence for a central representation of gravitational force,”
*Experimental Brain Research*, vol. 120, no. 4, pp. 496–502, 1998. View at Publisher · View at Google Scholar · View at Scopus - P. Crenna, D. M. Cuong, and Y. Brénière, “Motor programmes for the termination of gait in humans: organisation and velocity-dependent adaptation,”
*Journal of Physiology*, vol. 537, no. 3, pp. 1059–1072, 2001. View at Publisher · View at Google Scholar · View at Scopus - B. J. McFadyen and H. Carnahan, “Anticipatory locomotor adjustments for accommodating versus avoiding level changes in humans,”
*Experimental Brain Research*, vol. 114, no. 3, pp. 500–506, 1997. View at Publisher · View at Google Scholar · View at Scopus - J. W. Glasheen and T. A. McMahon, “Size-dependence of water-running ability in basilisk lizards (
*Basiliscus basiliscus*),”*The Journal of Experimental Biology*, vol. 199, no. 12, pp. 2611–2618, 1996. View at Google Scholar · View at Scopus - V. A. Selionov, Y. P. Ivanenko, I. A. Solopova, and V. S. Gurfinkel, “Tonic central and sensory stimuli facilitate involuntary air-stepping in humans,”
*Journal of Neurophysiology*, vol. 101, no. 6, pp. 2847–2858, 2009. View at Publisher · View at Google Scholar · View at Scopus - F. Sylos-Labini, Y. P. Ivanenko, M. J. Maclellan, G. Cappellini, R. E. Poppele, and F. Lacquaniti, “Locomotor-like leg movements evoked by rhythmic arm movements in humans,”
*PloS ONE*, vol. 9, no. 3, Article ID e90775, 2014. View at Publisher · View at Google Scholar - P. Sale, M. Franceschini, A. Waldner, and S. Hesse, “Use of the robot assisted gait therapy in rehabilitation of patients with stroke and spinal cord injury,”
*European Journal of Physical and Rehabilitation Medicine*, vol. 48, no. 1, pp. 111–121, 2012. View at Google Scholar · View at Scopus - P. A. Guertin, “Preclinical evidence supporting the clinical development of central pattern generator-modulating therapies for chronic spinal cord-injured patients,” 2014.
- Y. Gerasimenko, P. Musienko, I. Bogacheva et al., “Propriospinal bypass of the serotonergic system that can facilitate stepping,”
*Journal of Neuroscience*, vol. 29, no. 17, pp. 5681–5689, 2009. View at Publisher · View at Google Scholar · View at Scopus - V. A. Selionov, I. A. Solopova, D. S. Zhvansky et al., “Lack of non-voluntary stepping responses in Parkinson's disease,”
*Neuroscience*, vol. 235, pp. 96–108, 2013. View at Publisher · View at Google Scholar · View at Scopus - C. A. Angeli, V. R. Edgerton, Y. P. Gerasimenko, and S. J. Harkema, “Altering spinal cord excitability enables voluntary movements after chronic complete paralysis in humans,”
*Brain*, 2014. View at Publisher · View at Google Scholar - D. Borton, M. Bonizzato, J. Beauparlant et al., “Corticospinal neuroprostheses to restore locomotion after spinal cord injury,”
*Neuroscience Research*, vol. 78, pp. 21–29, 2014. View at Google Scholar