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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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“But yet, despite these delays, we are able to respond to properties for which signals have not yet been received (see e.g. Desmurget and Grafton 2000).”
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“Thereafter, an estimate of the new ‘state’ and associated reafferent signals is, respectively, generated (Wolpert and Ghahramani 2000; Wolpert et al. 1998, see also Desmurget and Grafton 2000; Elliott et al. 2010).”
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Yu, B., Gillespie, R., Freudenberg, J., & Cook, J. (2014) · American Control Conference · doi:10.1109/acc.2014.6858847 · Cited by 8
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BackgroundKaneko, T., & Tomonaga, M. (2014) · Cognition · doi:10.1016/j.cognition.2014.02.002 · Cited by 8
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“…the learning that we observed; however, in light of evidence that online error corrections can be driven by eVerence copy-based error signals (Bard et al. 1999; Desmurget and Grafton 2000), it is intriguing to consider that these same error signals might lead to modiWcations in movement planning.”
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“…velocity of object and effector can be estimated with 378 negligible delays or even predicted in advance, thus allowing feedback for fast movements (e.g., Desmurget and Grafton 2000; Miall and Wolpert 1996). general), the main focus has been on the optical information used for timing the movement.”
BackgroundPhasing of Muscle Activity During Rapid Finger Oscillations
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“to progressively nullify the distance between the ongoing state of the motor plant, indirectly estimated by integrating sensory inflows and motor outflows (Desmurget and Grafton, 2000; Wolpert et al., 1995) and the goal of the movement (Diedrichsen et al.”
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“Finally, their role could be related with the optimization of the internal feedback-loops to continuously adapt motion at different frequencies [Desmurget and Grafton, 2000; Miall et al., 2001].”
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Mongeon, D., Blanchet, P., Bergeron, S., & Messier, J. (2015) · Experimental Brain Research · doi:10.1007/s00221-015-4343-4 · Cited by 7
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Effects of Task Constraints on Reaching Kinematics by Healthy Adults
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Online corrections can occur within movement imagery: An investigation of the motor-cognitive model
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An ethologically motivated neurobiology of primate visually-guided reach-to-grasp behavior
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The cerebellum monitors errors and entrains executive networks
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“The brain uses this sensory prediction error in real-time to adjust motor commands, in order to reach the movement goal (Desmurget and Grafton, 2000).”
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“However, there is evidence that humans are capable of making a prediction by integrating motor efference copies using an internal model in order to compensate this delay (Wolpert et al. 1995; Kawato 1999; Desmurget and Grafton 2000; Mehta and Schaal 2002; Milton et al. 2016; Insperger and Milton 2021).”
BackgroundThe placebo effect shortens movement time in goal-directed movements
Fiorio, M., Villa‐Sánchez, B., Rossignati, F., & Andani, M. E. (2022) · Scientific Reports · doi:10.1038/s41598-022-23489-y · Cited by 7
“635) and Condition × Session × ID (F(12,276) = 2.”
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“…et al., 1995; Todorov & Jordan, 2002), Saunders and Knill’s findings were consistent with the recently developed integrative hybrid movement model (Desmurget & Grafton, 2000; Schmidt & Wrisberg, 2008), maintaining that sensory feedback and motor program preplanning are both used in motor control.”
ResultA hypothetical neural network model for generation of human precision grip
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“This implies that the CNS ‘‘knows” in advance the mechanical effects of a motor command (Desmurget and Grafton, 2000).”
How timely can our hand movements be?
de la Malla, C., & López‐Moliner, J. (2012) · Human Movement Science · doi:10.1016/j.humov.2011.12.005 · Cited by 6
“…have also analyzed how movements are controlled and how precision is achieved (feed-forward models suggested by Meyer et al. (1988) and Milner, 1992; feedback models proposed by Flanagan, Feldman, and Ostry (1993) and Todorov and Jordan (2002); hybrid models by Desmurget and Grafton (2000)).”
BackgroundEvaluating the Case for the Low-Level Approach to Agentive Awareness
Mylopoulos, M. I. (2012) · Philosophical Topics · doi:10.5840/philtopics201240216 · Cited by 9
“A second comparison is posited between the prediction outputted by the forward model and the goal state (Blakemore et al. 2002; Desmurget and Grafton 2000).”
ResultTaylor, J. G. (2010) · Neurocomputing · doi:10.1016/j.neucom.2010.06.019 · Cited by 7
A computational neural model of goal-directed utterance selection
Klein, M., Kamp, H., Palm, G., & Doya, K. (2010) · Neural Networks · doi:10.1016/j.neunet.2010.01.003 · Cited by 7
Toward a robot-assisted assessment of the control processes of the motor system
Méary, D., & Baud-Bovy, G. (2009) · World Haptics 2009 - Third Joint EuroHaptics conference and Symposium on Haptic Interfaces for Virtual Environment and Teleoperator Systems · doi:10.1109/whc.2009.4810853 · Cited by 6
“Current theories in motor control attribute an important role to predictive (feedforward) and reactive (feedback) processes [2-3].”
BackgroundA Basis for Cognitive Machines
Taylor, J. G., Kasderidis, S., Trahanias, P., & Hartley, M. (2006) · International Conference on Artificial Neural Networks · doi:10.1007/11840817_60 · Cited by 6
“This choice is consistent with the usage of goal states considered in motor planning in [5] and in motor control in [13], who define the goal as a particular desired state of a given external stimulus.”
BackgroundResultFrom Conscious Motor Intention to Movement Awareness
Fridman, E., Desmurget, M., & Sirigu, A. (2011) · Research and perspectives in neurosciences · doi:10.1007/978-3-642-18015-6_12 · Cited by 6
“Strikingly, the kinematic modifications applied to the ongoing response are not consciously detected by the subjects, who remain completely unaware of the profound changes that affect path curvature and individual joint trajectories ( Desmurget and Grafton 2000; Desmurget et al. 2001, 2004).”
BackgroundSelf-citationBeck, D., Hossner, E.-J., & Zahno, S. (2026) · Experimental Brain Research · doi:10.1007/s00221-026-07288-9 · Cited by 4
Modelling sensory attenuation as Bayesian causal inference across two datasets
Eckert, A.-L., Fuehrer, E., Schmitter, C. V., Straube, B., Fiehler, K., & Endres, D. (2025) · PLoS ONE · doi:10.1371/journal.pone.0317924 · Cited by 4
Russell, M. S., Vasilounis, S. S., Lefebvre, E., Drake, J., & Chopp-Hurley, J. N. (2024) · Human Movement Science · doi:10.1016/j.humov.2024.103276 · Cited by 5
Li, J. J., Daliri, A., Kim, K. S., & Max, L. (2024) · bioRxiv · doi:10.1101/2024.07.13.603344 · Cited by 5
“…response to probe tones during speech movement planning (i.e., PSAM; [11–13, The notion that the central nervous system generates sensory predictions by means of an internal forward model is a key concept in contemporary models of human sensorimotor control across effector systems (e.g., [34–40]).”
Bao, S., Wang, Y., Escalante, Y. R., Li, Y., & Lei, Y. (2024) · eNeuro · doi:10.1523/eneuro.0410-23.2024 · Cited by 8
“…successful execution of voluntary movements is supported by the interactions between the somatosensory and motor systems (Prochazka et al., 1997; Desmurget and Grafton, 2000; Schieber, 2001; Davis et al., 2022), the neural mechanisms by which tactile inputs in fl uence motor circuits in humans…”
BackgroundKinematic Changes in the Uninjured Limb After a Traumatic Brachial Plexus Injury
Souza, L., Lustosa, L., Silva, A. E. L., Martins, J. V., Pozzo, T., & Vargas, C. (2021) · Frontiers in Human Neuroscience · doi:10.3389/fnhum.2021.777776 · Cited by 5
“…initial ballistic phase and a subsequent controlling phase in which fine adjustments are made to successfully achieve the task goal (Desmurget and Grafton, 2000), it is reasonable to think that tasks with higher precision requirements demand more sensory feedback control during the movement…”
BackgroundChanges in Movement Control Processes Following Visuomotor Adaptation
Wijeyaratnam, D. O., Chua, R., & Cressman, E. K. (2021) · Journal of Motor Behavior · doi:10.1080/00222895.2021.1921687 · Cited by 5
“…MT constraint, participants would have had sufficient time to process and use visual feedback online to reduce their reaching errors when reaching with both aligned and rotated cursor feedback (Desmurget & Grafton, 2000; Shadmehr, Smith, & Krakauer, 2010; Zelaznik, Hawkins, & Kisselburgh, 1983).”
BackgroundEffects of auditory feedback on gait behavior, gaze patterns and outcome performance in long jumping
Hildebrandt, A., & Cañal‐Bruland, R. (2021) · Human Movement Science · doi:10.1016/j.humov.2021.102827 · Cited by 4
Atypical neural processing during the execution of complex sensorimotor behavior in autism
Shafer, R. L., Lewis, M. H., Newell, K. M., & Bodfish, J. W. (2021) · Behavioural Brain Research · doi:10.1016/j.bbr.2021.113337 · Cited by 5
Verdurand, M., Rossato, S., & Zmarich, C. (2020) · Frontiers in Psychology · doi:10.3389/fpsyg.2020.01745 · Cited by 5
“…1745 capacity to read the feedforward commands (i.e., based on the open loop circuitery) and consequently over-rely on auditory feedback (for a review on sensory feedback and forward modeling, see Desmurget and Grafton, 2000; Perkell, 2012; Guenther and Hickok, 2016; Parrell and Houde, 2019).”
BackgroundZabihhosseinian, M., Gilley, R., Andrew, D., Murphy, B., & Yielder, P. (2020) · Brain Science · doi:10.3390/brainsci10050290 · Cited by 5
“Evidence of sensorimotor loops within the posterior parietal cortex (PPC), at the area of the intraparietal sulcus (IPS), and the cerebellum suggest the use of both feedforward and feedback control mechanisms associated within these structures [41].”
BackgroundDart Throwing with the Open and Closed Eyes: Kinematic Analysis
Smirnov, A. S., Alikovskaia, T., Ермаков, П. Н., Khoroshikh, P. P., Fadeev, K. A., Sergievich, A. A., Тумялис, А. В., & Golokhvast, K. S. (2019) · Computational and Mathematical Methods in Medicine · doi:10.1155/2019/4217491 · Cited by 6
“Also, hand perception in the early phase of action impacts on a more accurate motor program [6].”
BackgroundNonmotor regions encode path-related information during movements
Breault, M. S., Sacré, P., Johnson, J. J., Kerr, M. S. D., Johnson, M. D., Bulacio, J. C., Gonzalez-Martinez, J. A., Sarma, S. V., & Gale, J. T. (2017) · Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC) · doi:10.1109/embc.2017.8037571 · Cited by 5
“However, successful motor control relies on communication between motor and nonmotor areas, such as integrating sensory information to update the movement trajectory or to attenuate movement or to respond to unexpected perturbations [3-6].”
BackgroundRoberts, J., Lyons, J. L., Garcia, D. B. L., Burgess, R., & Elliott, D. (2017) · Motor Control · doi:10.1123/mc.2015-0079 · Cited by 5
Takemura, N., Inui, T., & Fukui, T. (2017) · Developmental Science · doi:10.1111/desc.12565 · Cited by 5
“The loop of two sensorimotor transformations allows the internal feedback control to achieve a reaching movement (Desmurget & Grafton, 2000).”
BackgroundInfluence of Multi-directional Dynamic Stabilization Exercise on Thickness of Abdominal Muscles
Yu, J.-Y., Park, J.-C., & Jeong, J.-G. (2016) · The Journal of Korean Physical Therapy · doi:10.18857/jkpt.2016.28.4.249 · Cited by 5
The Importance of Lateral Connections in the Parietal Cortex for Generating Motor Plans
Asher, D. E., Oros, N., & Krichmar, J. L. (2015) · PLoS ONE · doi:10.1371/journal.pone.0134669 · Cited by 5
“, conduction delays from axonal connection lengths) [32, 33].”
BackgroundSaikumar, N., & Dinesh, N. (2014) · International Conference on Computer, Control, Informatics and its Applications · doi:10.1109/ic3ina.2014.7042610 · Cited by 5
“The learning and adaptation capabilities of the human brain have fascinated control engineers over the past several decades [4], [5].”
BackgroundMonjo, F., & Forestier, N. (2014) · Neuroscience · doi:10.1016/j.neuroscience.2014.07.055 · Cited by 5
“…and Pasalar, 2008; Miall and King, 2008; Imamizu and Kawato, 2012), as well as in the parietal lobe (Wolpert et al., 1998a; Sirigu et al., 1999; Desmurget and Grafton, 2000; Andersen and Buneo, 2002; Desmurget and Sirigu, 2009) (for a review tackling these two views, see Blakemore and Sirigu,…”
BackgroundSolving the Mind-Body Problem by the CODAM Neural Model of Consciousness?
Taylor, J. G. (2013) · Springer Series in Cognitive and Neural Systems · doi:10.1007/978-94-007-7645-6 · Cited by 5
Visuomotor process in movement correction: role of internal feedback loop
Ikudome, S., Nakamoto, H., Yotani, K., Kanehisa, H., & Mori, S. (2013) · NeuroReport · doi:10.1097/wnr.0000000000000010 · Cited by 5
Towards a Biomarker of Motor Adaptation: Integration of Kinematic and Neural Factors
Molteni, E., Cimolin, V., Preatoni, E., Rodano, R., Galli, M., & Bianchi, A. M. (2012) · IEEE transactions on neural systems and rehabilitation engineering · doi:10.1109/tnsre.2012.2189585 · Cited by 5
Wie wir unser motorisches System nutzen, um Ereignisse vorherzusagen
Schubotz, R. I. (2010) · Zeitschrift für Sportpsychologie · doi:10.1026/1612-5010/a000017 · Cited by 4
On the Duration of Human Movement: From Self-paced to Slow/Fast Reaches up to Fitts's Law
Jean, F., & Berret, B. (2017) · Geometric and Numerical Foundations of Movements · doi:10.1007/978-3-319-51547-2_3 · Cited by 5
“To take into account accuracy constraints, we propose to consider goal-directed movements such as arm pointing as the superposition of an open-loop motion (the planned trajectory) and of a feedback process whose role is to provide on-line corrections and in particular to stabilize the hand around the target [12, 51].”
MethodVisual Perception in Expert Action
de Oliveira, R. (2016) · Elsevier eBooks · doi:10.1016/b978-0-12-803377-7.00016-8 · Cited by 5
Koelsch, S., & Maidhof, C. (2013) · Current research in systematic musicology · doi:10.1007/978-3-319-00107-4_6 · Cited by 5
Visuomotor Tracking Tasks With Delayed Pursuit and Escape
Milton, J., Lippai, J., Bellows, R., Blomberg, A., Kamimura, A., & Ohira, T. (2011) · doi:10.1115/detc2011-47312 · Cited by 5
“Thus it is argued that there must exist strategies that anticipate, or compensate, for the effects of the time delay [5], such as feedforward controllers [6], ”inverse dynamics” [7], and so on.”
BackgroundKrigolson, O. (2009) · doi:10.5641/027013609x13087704028192 · Cited by 5
“…ballistic, manual-aiming movement relies on visual feedback to achieve accuracy, and that this feedback can be processed in as little as 100 ms (Desmurget & Grafton, 2000; Elliott & Allard, 1985; Goodale, Pelisson, & Prablanc, 1986; Saunders & Knill, 2003; Yoshida, Cauraugh, & Chow, 2004;…”
BackgroundVirtual white matter: a novel system for cross-dish neural interaction and modulation
Khantan, M., Lim, J., Napoli, A., Obeid, I., & Serruya, M. D. (2025) · Journal of Neural Engineering · doi:10.1088/1741-2552/add49c · Cited by 4
“…be adjusted, it was chosen based on typical neural processing times, such as reaction times to sensory stimuli (150–250 ms) [33] cortical processing in sensory pathways (100–200 ms) [34], and feedback loops in motor control (around 200 ms) [35], which are common in neural integration and response.”
Kernels of Motor Memory Formation: Temporal Generalization in Bimanual Adaptation
Howard, I. S., Franklin, S., & Franklin, D. W. (2024) · Journal of Neuroscience · doi:10.1101/2024.01.03.574029 · Cited by 4
“However, these interactions are so closely linked in time that are often taken as evidence for predictive models (Desmurget and Grafton, 2000; Wolpert and Flanagan, 2001; Flanagan et al., 2003; Franklin and Wolpert, 2011).”
Parkinsonian Tremor as Unstable Feedback in a Physiologically Consistent Control Framework
Kelley, C. R., & Kauffman, J. L. (2024) · IEEE transactions on neural systems and rehabilitation engineering · doi:10.1109/tnsre.2024.3430116 · Cited by 4
“However, studies link forward models to the cerebellum, parietal cortex, and primary motor cortex, obscuring where PD pathology may exist relative to forward models [5], [14], [28].”
MethodPenna, M. F., Trigili, E., Amato, L., Eken, H., Dell’Agnello, F., Lanotte, F., Gruppioni, E., Vitiello, N., & Crea, S. (2023) · International Conference on Rehabilitation Robotics · doi:10.1109/icorr58425.2023.10304723 · Cited by 5
“These models are then used to update the initial motor plan, defined before the onset of the movement [10]; in turn, motor plans of point-to-point reaching tasks in the three-dimensional space could be approximated as straight movements with sigmoidal trajectories (i.e., with bell-shaped velocity…”
Method
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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