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Forward modeling allows feedback control for fast reaching movements
Open accessAbstract
Delays in sensorimotor loops have led to the proposal that reaching movements are primarily under pre-programmed control and that sensory feedback loops exert an influence only at the very end of a trajectory. The present review challenges this view. Although behavioral data suggest that a motor plan is assembled prior to the onset of movement, more recent studies have indicated that this initial plan does not unfold unaltered, but is updated continuously by internal feedback loops. These loops rely on a forward model that integrates the sensory inflow and motor outflow to evaluate the consequence of the motor commands sent to a limb, such as the arm. In such a model, the probable position and velocity of an effector can be estimated with negligible delays and even predicted in advance, thus making feedback strategies possible for fast reaching movements. The parietal lobe and cerebellum appear to play a crucial role in this process. The ability of the motor system to estimate the future state of the limb might be an evolutionary substrate for mental operations that require an estimate of sequelae in the immediate future.
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“Mismatch detection and the forward model are involved in different aspects of motor execution: in motor control (for rapid online movement adaptation, for sensory attenuation), in motor learning (sensorimotor adaptation), but also for the sense of agency (Miall et al., 1993; Wolpert et al., 1998; Desmurget and Grafton, 2000; Blakemore and Sirigu, 2003; Jeannerod, 2009; Haggard, 2017; Dogge et al.,”
From The Forward Model: A Unifying Theory for the Role of the Cerebellum in Motor Control and Sense of Agency (2021) · cites this paper as Desmurget and Grafton, 2000
In the citing paper
“Among these areas, the cerebellum is of particular interest and could be a comparator considering its unique architecture and connectivity (Miall et al., 1993; Wolpert et al., 1998; Desmurget and Grafton, 2000; Blakemore and Sirigu, 2003; Ito, 2006, 2008; Jeannerod, 2009; Tanaka et al., 2020; Figure 1).”
From The Forward Model: A Unifying Theory for the Role of the Cerebellum in Motor Control and Sense of Agency (2021) · cites this paper as Desmurget and Grafton, 2000
In the citing paper
“The forward model integrates both the efference copy of the motor command and the sensory feedback to produce a prediction of the sensory consequences of the motor command.”
From The Forward Model: A Unifying Theory for the Role of the Cerebellum in Motor Control and Sense of Agency (2021) · cites this paper as Desmurget and Grafton, 2000
In the citing paper
“On-line motor correction using the forward model would be faster than the processing time of using the sensory feedback alone.”
From The Forward Model: A Unifying Theory for the Role of the Cerebellum in Motor Control and Sense of Agency (2021) · cites this paper as Desmurget and Grafton, 2000
In the citing paper
“It has thus been proposed that on-line motor control relies on a forward model.”
From The Forward Model: A Unifying Theory for the Role of the Cerebellum in Motor Control and Sense of Agency (2021) · cites this paper as Desmurget and Grafton, 2000
In the citing paper
“These predictions are directly compared with the sensory feedback generated by the movement and thus provide an optimal estimate of the state of the effector; any discrepancy would be used to correct the on-going movement (Miall et al., 1993; Wolpert et al., 1998; Desmurget and Grafton, 2000; Tanaka et al., 2020).”
From The Forward Model: A Unifying Theory for the Role of the Cerebellum in Motor Control and Sense of Agency (2021) · cites this paper as Desmurget and Grafton, 2000
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“…0.581in Gutter: 0.747in CUUK929-09 cuuk929/Nijhawan ISBN: 978 0 521 86318 6 October 9, 2009 0:29 9 The utility of visual motion for goal-directed reaching 125 delay – shows that visual information is important in the online control of action even late into the movement (Desmurget & Grafton 2000).”
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BackgroundSaccade dynamics during an online updating task change with healthy aging
O'Rielly, J. L., & Ma-Wyatt, A. (2020) · Journal of Vision · doi:10.1167/jov.20.13.2 · Cited by 3
“…an important source of information in the localization, planning, and execution of a goal-directed reach, most models of sensorimotor control (e.g., Desmurget & Grafton, 2000) have no means to formally account for the changes in sensorimotor control with age in a way that would elicit testable…”
BackgroundMethodInfluentialBoth reaching and grasping are impacted by temporarily induced paresthesia
Glazebrook, C., Brown, K. M., Prime, S. L., Passmore, S. R., & Marotta, J. (2020) · Somatosensory & motor research · doi:10.1080/08990220.2020.1750359 · Cited by 3
“ongoing limb movements can be made more rapidly (Cluff et al. 2015; Desmurget and Grafton 2000; Scott 2016).”
BackgroundParr, J., Gallicchio, G., Harrison, N., Johnen, A.-K., & Wood, G. (2019) · bioRxiv · doi:10.1101/851956 · Cited by 3
“For example, increased limb acceleration indicates more ballistic and pre-planned movement, whereas decreased limb acceleration would suggest a more conservative approach with greater reliance on feedback to supervise ongoing action (Desmurget & Grafton, 2000).”
BackgroundViswanathan, S., Wang, B. A., Abdollahi, R., Daun, S., Grefkes, C., & Fink, G. (2019) · NeuroImage · doi:10.1016/j.neuroimage.2018.12.005 · Cited by 3
“Assessing the first, movement-related criterion (henceforth, MOV) would involve integrating efferent motor information with proprioceptive feedback about the moving index finger within a control model (Miall and Wolpert, 1996; Desmurget and Grafton, 2000).”
A computational scheme for internal models not requiring precise system parameters
Kim, D. (2019) · PLoS ONE · doi:10.1371/journal.pone.0210616 · Cited by 3
Foster, N. C. (2019) · Liverpool John Moores University · doi:10.24377/ljmu.t.00010122 · Cited by 2
WheelCon: A Wheel Control-Based Gaming Platform for Studying Human Sensorimotor Control.
Liu, Q.-Y., Nakahira, Y., Liang, Z.-C., Mohideen, A., Dai, A., Choi, S., Pan, A., Ho, D., & Doyle, J. (2018) · Journal of Visualized Experiments · doi:10.3791/61092 · Cited by 3
“1. Introduction Human sensorimotor control system is extremely robust (Franklin and Wolpert, 2011), although the sensing is distributed, sparse, quantized, noisy and delayed (Bays and Wolpert, 2007; Desmurget and Grafton, 2000; Sanger and Merzenich, 2000); the computing in the central nervous system is slow (Mohler an…”
BackgroundQuinn, L., Miljevic, A., Rurak, B., Marinovic, W., & Vallence, A. (2018) · Experimental Brain Research · doi:10.1007/s00221-018-5349-5 · Cited by 3
A recurrent neural network model for generation of humanlike reaching movements
Tsuzuki, Y., & Ogihara, N. (2018) · Adv. Robotics · doi:10.1080/01691864.2018.1496031 · Cited by 3
“However, there is still a debate going on about whether the CNS explicitly performs inverse dynamics computations or not.”
BackgroundInfluentialMixing Habits and Planning for Multi-Step Target Reaching Using Arbitrated Predictive Actor-Critic
Fard, F. S., & Trappenberg, T. P. (2018) · IEEE International Joint Conference on Neural Network · doi:10.1109/ijcnn.2018.8489122 · Cited by 3
“Such inverse models are useful in feedforward control systems [16].”
BackgroundRaikes, A. C., Schaefer, S. Y., & Studenka, B. E. (2018) · Brain Injury · doi:10.1080/02699052.2018.1444204 · Cited by 12
“Processes related to feedforward, predictive control, and visual feedback processing generally operate in these frequency bands (37, 44, 45, 50).”
BackgroundThe Effects of Trajectory and Endpoint Errors in a Reaching Movement on the Sense of Agency
Zama, T., Takahashi, Y., & Shimada, S. (2017) · Psychology · doi:10.4236/psych.2017.814146 · Cited by 3
“The feed forward control is driven mainly by using inverse model generating a motor command on the basis of the desired outcome; and the feedback control becomes active in the latter half of the movement to adjust and end the reaching motion (Desmurget & Grafton, 2000; Osumi et al., 2017).”
MethodAnticipatory action planning in blind and sighted individuals
Cavallo, A., Ansuini, C., Gori, M., Tinti, C., Tonelli, A., & Becchio, C. (2017) · Scientific Reports · doi:10.1038/srep44617 · Cited by 3
Prosthetic hand module using electromechanical actuators: A simulation
Bahadur, R., & Mahmood, A. (2016) · International Multi-Topic Conference · doi:10.1109/inmic.2016.7840124 · Cited by 3
Towards the Self-constructive Brain: emergence of adaptive behaviorPreprint
Corbacho, F. (2016) · arXiv (Cornell University) · doi:10.48550/arxiv.1608.02229 · Cited by 2
“…sensorimotor (Corbacho & Arbib, 1995; Mehta & Schaal, 2002; Wolpert, Ghahramani & Jordan, 1995), and motor (Corbacho & Arbib, 1996; Corbacho, Nishikawa, Weerasuriya, Liaw & Arbib, 2005b; Desmurget & Grafton, 2000; Flanagan & Wing, 1997; Miall & Wolpert, 1996; Shadmer, Smith & Krakauer, 2010).”
The Detection Continuum for Motor Control Comprises Preparation and Adjustments.
Reichenbach, A. (2016) · Motor Control · doi:10.1123/mc.2015-0028 · Cited by 3
Craighero, L., Mele, S., & Zorzi, V. A. (2015) · Frontiers in Psychology · doi:10.3389/fpsyg.2015.01479 · Cited by 3
“People may use internal predictive models to provide sensory expectations that are used to monitor and control goal-directed actions (Desmurget and Grafton, 2000).”
BackgroundPerception-Production Interactions and their Neural Bases
Tourville, J. A., Peeva, M. G., & Guenther, F. (2014) · doi:10.1093/oxfordhb/9780199735471.013.017 · Cited by 3
“…resulting from a movement, represent a forward model of the movement (e.g. Davidson & www.oxfordhandbooks.com/view/10.1093/oxfordhb/9780199735471.001.0001/oxfordhb-9780199735471-e-017?result=1&rskey=77kUoj&print 11/34 Wolpert, 2005; Desmurget & Grafton, 2000; Kawato, 1999; Miall & Wolpert, 1996).”
BackgroundInfluentialOptical imaging of visually guided reaching in macaque posterior parietal cortex
Heider, B., & Siegel, R. M. (2013) · Brain Structure and Function · doi:10.1007/s00429-013-0513-y · Cited by 3
“Visually guided reaching involves multiple computational steps (Shadmehr and Wise 2005) such as selecting a visual target, moving the eyes to the target, and the hand following the target (Desmurget and Grafton 2000).”
BackgroundInfluentialA unified language for anthropomorphic arm motion
Fang, C., & Ding, X.-L. (2013) · IEEE International Conference on Robotics and Biomimetics · doi:10.1109/robio.2013.6739513 · Cited by 3
“Rule 4: Human arm motion is planned both in joint space and operational space [19, 20].”
BackgroundCAN FUNCTIONAL AND PHENOMENAL CONSCIOUSNESS BE DIVIDED?
Taylor, J. G. (2012) · International Journal of Machine Consciousness · doi:10.1142/s1793843012400264 · Cited by 2
Morita, S. (2012) · Int. J. Humanoid Robotics · doi:10.1142/s0219843612500235 · Cited by 3
Does the corollary discharge of attention exist?
Taylor, J. G. (2012) · Consciousness and Cognition · doi:10.1016/j.concog.2011.09.018 · Cited by 5
Biomechanical Modification and Sense Motor Control of Body Posture after Plastic Surgery
Saggini, R., Iodice, P., Saggini, A., Scuderi, N., & Bellomo, R. G. (2012) · International Journal of Immunopathology and Pharmacology · doi:10.1177/03946320120250s101 · Cited by 3
Robot-assisted assessment of sensorimotor control: A case study
Méary, D., Baud‐Bovy, G., Chieffo, R., Leocani, L., Comola, M., & Comi, G. (2009) · IEEE International Symposium on Medical Measurements and Applications (MeMeA) · doi:10.1109/memea.2009.5167978 · Cited by 4
“Current theories in motor control attribute an important role to predictive (feedforward) and reactive (feedback) processes [6,7].”
BackgroundHartley, M., & Taylor, J. G. (2007) · International Conference on Artificial Neural Networks · doi:10.1007/978-3-540-74695-9_92 · Cited by 3
“The coupled inverse/forward model approach is popular since it extends existing attempts to understand motor learning - see [16], [ 4 ], [8], [3] for details of how brain based motor control might operate.”
MethodThoroughman, K. A. (2004) · Journal of Neurophysiology · doi:10.1152/jn.01060.2003 · Cited by 3
“Evidence for internal models in the brain has grown increasingly stronger (e.g., see Desmurget and Grafton 2000; Kawato 1999 for recent reviews).”
BackgroundResultModelling Motor Control Paradigms
Morasso, P., & Sanguineti, V. (2003) · Chapman & Hall/CRC mathematical and computational biology series · doi:10.1201/9780203494462.ch17 · Cited by 1
The Sensorimotor Posterior Parietal Cortex: From Intention to Action
Sirigu, A., & Desmurget, M. (2020) · Elsevier eBooks · doi:10.1016/b978-0-12-809324-5.24205-3 · Cited by 4
Self-citationTaylor, J. G. (2011) · Springer eBooks · doi:10.1007/978-1-4419-1452-1_8 · Cited by 3
Mechanical control: parallel pathways for modulating movement
Reynaga, C., & Azizi, E. (2026) · Journal of Experimental Biology · doi:10.1242/jeb.251237 · Cited by 2
“During slower, deliberate movements, the CNS has more time to integrate proprioceptive, visual and auditory feedback information to guide adjustments to locomotor outcomes, relying on pre-programmed motor responses (Crevecoeur and Scott, 2014; Desmurget and Grafton, 2000).”
Sensorimotor delays constrain robust locomotion in a 3D kinematic model of fly walkingPreprint
Karashchuk, P., Li, J. S., Chou, G. M., Walling-Bell, S., Brunton, S. L., Tuthill, J. C., & Brunton, B. W. (2024) · eLife · doi:10.7554/elife.99005.3 · Cited by 8
“In biological systems, theoretical studies suggest that some animals use predictive internal models to mitigate the effect of delays (More and Donelan, 2018; Li et al., 2023; Desmurget and Grafton, 2000).”
Peng, B., Dong, K., Liu, Q., Li, J., Zhao, Y., Huang, X., Chen, M., Wu, X., Dai, G., Liu, D., et al. (2025) · Psychophysiology · doi:10.1111/psyp.70054 · Cited by 2
“The SMG is recognized as a sensory-motor interface during speech production (Della-Maggiore et al. 2004; Desmurget and Grafton 2000; Tian and Poeppel 2010), facilitating the comparison of feedforward signals from the premotor and inferior frontal cortices with feedback signals from sensory areas…”
The impact of impulsivity and compulsivity on error processing in different motivational contexts
Overmeyer, R., & Endraß, T. (2025) · Cognitive Affective & Behavioral Neuroscience · doi:10.3758/s13415-025-01281-5 · Cited by 2
“…such as performance monitoring (for an overview, see Botvinick & Braver, 2015; Braver et al., 2014; Kouneiher et al., 2009), and consequently adjustments in cognitive control, guiding behavior, learning, and forward prediction (Desmurget & Grafton, 2000; Maurer et al., 2022; Vesper et al., 2017).”
Hooks, K., Kiani, K., & Fu, Q. (2025) · NeuroImage · doi:10.1016/j.neuroimage.2025.121111 · Cited by 2
“In reaching tasks, an abrupt visual shift of the target, i.e., target jump, before or at movement onset can elicit a corrective response with an onset time in kinematics between 100 and 200 ms after the visual shift (Desmurget and Grafton, 2000; Veerman et al., 2008; Gritsenko et al., 2009).”
Serial dependencies for externally and self-generated stimuli
Fritz, C., Pomè, A., & Zimmermann, E. (2024) · Journal of Vision · doi:10.1167/jov.24.11.1 · Cited by 2
“If the sensory and predicted feedback match, sensory attenuation occurs (Desmurget & Grafton, 2000; Jordan & Rumelhart, 1992; Welniarz et al., 2021).”
BackgroundVisuomotor Memory Is Not Bound to Visual Motion
Warburton, M., Campagnoli, C., Mon-Williams, M. A., Mushtaq, F., & Morehead, J. R. (2025) · Journal of Neuroscience · doi:10.1523/jneurosci.1884-24.2025 · Cited by 2
“Forward models are thought to be useful for online control (Miall and Wolpert, 1996; Mehta and Schaal, 2002), robust state estimation (Desmurget and Grafton, 2000), and attenuating self-generated sensory signals (Blakemore et al., 2000; Sawtell, 2017) by predicting the sensory consequences of a…”
Event-related brain potentials to typing errors in transparent and intransparent German words.
Heldmann, M., Wagner-Altendorf, T. A., Baumung, L., Effenberg, A., & Münte, T. (2024) · Neurosciences research · doi:10.1016/j.neures.2024.06.001 · Cited by 2
“Such a model, elaborating on earlier work (Desmurget and Grafton, 2000; Wolpert et al., 1995; Coles et al., 2001) was also presented by Rodriguez-Fornells et al. (2002, their Fig.”
MethodAwaji, A., Fuchigami, T., Ogata, R., & Morioka, S. (2023) · Cureus · doi:10.7759/cureus.50855 · Cited by 3
Kaipa, R., McLain, N. J., & Kaipa, R. (2023) · Folia Phoniatrica et Logopaedica · doi:10.1159/000535559 · Cited by 2
“As per the integrative model of speech production, a basic motor plan is assembled before movement onset and then executed by a feed-forward controller, but these commands can be adjusted in real time by a feedback controller [32 – 35].”
The impact of subclinical neck pain on goal-directed upper limb movement in the horizontal plane
Sanmugananthan, P., Burkitt, J. J., Campbell, D., Cheema, N., Murphy, B. A., & Yielder, P. C. (2022) · Experimental Brain Research · doi:10.1007/s00221-022-06383-x · Cited by 3
“Considering the direct role that the cerebellum has on the feedforward and feedback processes involved in upper limb aiming movements (Desmurget and Grafton 2000; Kandel et al. 2000; Elliott et al. 2010), the goal of this study was to examine the impact of SCNP on fast and accurate goal-directed movements involving th…”
BackgroundInfluentialNumasawa, K., Kizuka, T., & Ono, S. (2022) · Physiology and Behavior · doi:10.1016/j.physbeh.2022.113801 · Cited by 2
Kinematic changes in goal-directed movements in a fear-conditioning paradigm
Nishi, Y., Osumi, M., Sumitani, M., Yozu, A., & Morioka, S. (2021) · Scientific Reports · doi:10.1038/s41598-021-90518-7 · Cited by 3
Metadata
- Authors
- Desmurget, M., & Grafton, S.
- Affiliations
- Inserm (FR)
- Dartmouth College (US)
- Corresponding author
- Grafton, Scott
- ORCID
- Grafton, Scott
- Venue
- Trends in Cognitive Sciences
- Publisher
- Elsevier BV
- Published
- 2000-11
- Volume
- 4
- Issue
- 11
- Pages
- 423-431
- ISSN
- 1364-6613 (ISSN-L)
- OpenAlex
- W2084145388
- Cited by
- 1,300
- References
- 62
- Citations by year
- 2026: 24 · 2025: 37 · 2024: 38 · 2023: 40 · 2022: 46 · 2021: 55 · 2020: 46 · 2019: 56 · 2018: 74 · 2017: 64 · 2016: 65 · 2015: 65 · 2014: 80 · 2013: 63 · 2012: 51
- FWCI
- 1.88
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- Locations
- Trends in Cognitive Sciences (publishedVersion, cc-by-nc-nd)
- PubMed (publishedVersion)
- Topics
- Life Sciences › Neuroscience › Cognitive Neuroscience › Motor Control and Adaptation
- Life Sciences › Neuroscience › Cognitive Neuroscience › Embodied and Extended Cognition
- Social Sciences › Psychology › Social Psychology › Action Observation and Synchronization
- Keywords
- forward model, sensorimotor delay, feedback control, reaching movements, motor planning, parietal lobe, cerebellum, motor control, mental time travel
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