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Langlois ET, Bennequin D, de Marco G. Role of the Cerebellum in the Construction of Functional and Geometrical Spaces. CEREBELLUM (LONDON, ENGLAND) 2024:10.1007/s12311-024-01693-y. [PMID: 38625534 DOI: 10.1007/s12311-024-01693-y] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Accepted: 04/10/2024] [Indexed: 04/17/2024]
Abstract
The perceptual and motor systems appear to have a set of movement primitives that exhibit certain geometric and kinematic invariances. Complex patterns and mental representations can be produced by (re)combining some simple motor elements in various ways using basic operations, transformations, and respecting a set of laws referred to as kinematic laws of motion. For example, point-to-point hand movements are characterized by straight hand paths with single-peaked-bell-shaped velocity profiles, whereas hand speed profiles for curved trajectories are often irregular and more variable, with speed valleys and inflections extrema occurring at the peak curvature. Curvature and speed are generically related by the 2/3 power law. Mathematically, such laws can be deduced from a combination of Euclidean, affine, and equi-affine geometries, whose neural correlates have been partially detected in various brain areas including the cerebellum and the basal ganglia. The cerebellum has been found to play an important role in the control of coordination, balance, posture, and timing over the past years. It is also assumed that the cerebellum computes forward internal models in relationship with specific cortical and subcortical brain regions but its motor relationship with the perceptual space is unclear. A renewed interest in the geometrical and spatial role of the cerebellum may enable a better understanding of its specific contribution to the action-perception loop and behavior's adaptation. In this sense, we complete this overview with an innovative theoretical framework that describes a possible implementation and selection by the cerebellum of geometries adhering to different mathematical laws.
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Affiliation(s)
- Eya Torkhani Langlois
- LINP2, UPL, Université Paris Nanterre, 200 avenue de la République, Nanterre, 92000, France
| | - Daniel Bennequin
- Equipe Géométrie et Dynamique, Paris-Cité, UFR de Mathématiques, Bâtiment Sophie Germain, 8 place Aurélie Nemours, Paris, 75013, France
| | - Giovanni de Marco
- LINP2, UPL, Université Paris Nanterre, 200 avenue de la République, Nanterre, 92000, France.
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Abraham A, Duncan RP, Earhart GM. The Role of Mental Imagery in Parkinson's Disease Rehabilitation. Brain Sci 2021; 11:brainsci11020185. [PMID: 33540883 PMCID: PMC7913152 DOI: 10.3390/brainsci11020185] [Citation(s) in RCA: 16] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/31/2020] [Revised: 01/26/2021] [Accepted: 01/28/2021] [Indexed: 02/06/2023] Open
Abstract
Parkinson’s disease (PD) is a disabling neurodegenerative disease whose manifestations span motor, sensorimotor, and sensory domains. While current therapies for PD include pharmacological, invasive, and physical interventions, there is a constant need for developing additional approaches for optimizing rehabilitation gains. Mental imagery is an emerging field in neurorehabilitation and has the potential to serve as an adjunct therapy to enhance patient function. Yet, the literature on this topic is sparse. The current paper reviews the motor, sensorimotor, and sensory domains impacted by PD using gait, balance, and pain as examples, respectively. Then, mental imagery and its potential for PD motor and non-motor rehabilitation is discussed, with an emphasis on its suitability for addressing gait, balance, and pain deficits in people with PD. Lastly, future research directions are suggested.
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Affiliation(s)
- Amit Abraham
- Department of Physical Therapy, Faculty of Health Sciences, Ariel University, Ariel 4077625, Israel
- Navigation and Accessibility Research Center of Ariel University (NARCA), Ariel University, Ariel 4077625, Israel
- Correspondence:
| | - Ryan P. Duncan
- Program in Physical Therapy, Washington University in St. Louis School of Medicine, St. Louis, MO 63108, USA; (R.P.D.); (G.M.E.)
- Department of Neurology, Washington University in St. Louis School of Medicine, St. Louis, MO 63110, USA
| | - Gammon M. Earhart
- Program in Physical Therapy, Washington University in St. Louis School of Medicine, St. Louis, MO 63108, USA; (R.P.D.); (G.M.E.)
- Department of Neurology, Washington University in St. Louis School of Medicine, St. Louis, MO 63110, USA
- Department of Neuroscience, Washington University in St. Louis School of Medicine, St. Louis, MO 63110, USA
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Dayan E, Browner N. Alterations in striato-thalamo-pallidal intrinsic functional connectivity as a prodrome of Parkinson's disease. Neuroimage Clin 2017; 16:313-318. [PMID: 28856094 PMCID: PMC5565766 DOI: 10.1016/j.nicl.2017.08.003] [Citation(s) in RCA: 24] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/07/2017] [Revised: 07/27/2017] [Accepted: 08/01/2017] [Indexed: 11/29/2022]
Abstract
Although the diagnosis of Parkinson's disease (PD) remains anchored around the cardinal motor symptoms of bradykinesia, rest tremor, rigidity and postural instability, it is becoming increasingly clear that the clinical phase of the disease is preceded by a long period of neurodegeneration, which is not readily evident in terms of motor dysfunction. The neurobiological mechanisms that underpin this prodromal phase of PD remain poorly understood. Based on converging evidence of basal ganglia (BG) dysfunction in early PD, we set out to establish whether the prodromal phase of the disease is characterized by alterations in functional communication within the input and output structures of the BG. We analyzed resting-state functional MRI data collected from patients with REM sleep behavior disorder (RBD) and/or hyposmia, two of the strongest markers of prodromal PD, in comparison to age-matched controls. Relative to controls, subjects in the prodromal group showed reduced intra- and interhemispheric functional connectivity in a striato-thalamo-pallidal network. Functional connectivity alterations were restricted to the BG and did not extend to functional connections with the cortex. The data suggest that local interactions between input and output BG structures may be disrupted already in the prodromal phase of PD.
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Affiliation(s)
- Eran Dayan
- Department of Radiology, Biomedical Research Imaging Center and Neuroscience Curriculum, University of North Carolina at Chapel Hill, Chapel Hill, NC, United States
| | - Nina Browner
- Department of Neurology, University of North Carolina at Chapel Hill, Chapel Hill, NC, United States
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Polyakov F. Affine differential geometry and smoothness maximization as tools for identifying geometric movement primitives. BIOLOGICAL CYBERNETICS 2017; 111:5-24. [PMID: 27822891 DOI: 10.1007/s00422-016-0705-7] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/27/2016] [Accepted: 10/19/2016] [Indexed: 06/06/2023]
Abstract
Neuroscientific studies of drawing-like movements usually analyze neural representation of either geometric (e.g., direction, shape) or temporal (e.g., speed) parameters of trajectories rather than trajectory's representation as a whole. This work is about identifying geometric building blocks of movements by unifying different empirically supported mathematical descriptions that characterize relationship between geometric and temporal aspects of biological motion. Movement primitives supposedly facilitate the efficiency of movements' representation in the brain and comply with such criteria for biological movements as kinematic smoothness and geometric constraint. The minimum-jerk model formalizes criterion for trajectories' maximal smoothness of order 3. I derive a class of differential equations obeyed by movement paths whose nth-order maximally smooth trajectories accumulate path measurement with constant rate. Constant rate of accumulating equi-affine arc complies with the 2/3 power-law model. Candidate primitive shapes identified as equations' solutions for arcs in different geometries in plane and in space are presented. Connection between geometric invariance, motion smoothness, compositionality and performance of the compromised motor control system is proposed within single invariance-smoothness framework. The derived class of differential equations is a novel tool for discovering candidates for geometric movement primitives.
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Affiliation(s)
- Felix Polyakov
- Department of Mathematics, Ariel University, Ariel, Israel.
- Department of Mathematics, Bar Ilan University, Ramat Gan, Israel.
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Inzelberg R, Plotnik M, Harpaz NK, Flash T. Micrographia, much beyond the writer's hand. Parkinsonism Relat Disord 2016; 26:1-9. [PMID: 26997656 DOI: 10.1016/j.parkreldis.2016.03.003] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 12/15/2015] [Revised: 02/12/2016] [Accepted: 03/06/2016] [Indexed: 12/17/2022]
Abstract
INTRODUCTION This review on micrographia aims to draw the clinician's attention to non-Parkinsonian etiologies, provide clues to differential diagnosis, and summarize current knowledge on the phenomenology, etiology, and mechanisms underlying micrographia. METHODS A systematic review of the existing literature was performed. RESULTS Micrographia, namely small sized handwriting has long been attributed to Parkinson's disease. However, it has often been observed as part of the clinical picture of additional neurodegenerative disorders, sometimes antedating the motor signs, or following focal basal ganglia lesions without any accompanying parkinsonism, suggesting that bradykinesia and rigidity are not sine-qua-non for the development of this phenomenon. Therefore, micrographia in a patient with no signs of parkinsonism may prompt the clinician to perform imaging in order to exclude a focal basal ganglia lesion. Dopaminergic etiology in this and other cases is doubtful, since levodopa ameliorates letter stroke size only partially, and only in some patients. Parkinsonian handwriting is often characterized by lack of fluency, slowness, and less frequently by micrographia. Deviations from kinematic laws of motion that govern normal movement, including the lack of movement smoothness and inability to scale movement amplitude to the desired size, may reflect impairments in motion planning, possible loss of automaticity and reduced movement vigor. CONCLUSIONS The etiology, neuroanatomy, mechanisms and models of micrographia are discussed. Dysfunction of the basal ganglia circuitry induced by neurodegeneration or disruption by focal damage give rise to micrographia.
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Affiliation(s)
- Rivka Inzelberg
- Department of Neurology and Neurosurgery, Sackler Faculty of Medicine, Tel Aviv University, Tel Aviv, Israel; Center of Advanced Technologies in Rehabilitation, Sheba Medical Center, Tel Hashomer, Israel; Department of Applied Mathematics and Computer Science, The Weizmann Institute of Science, Rehovot, Israel.
| | - Meir Plotnik
- Department of Pharmacology and Physiology, Sackler Faculty of Medicine, Tel Aviv University, Tel Aviv, Israel; Sagol School of Neuroscience, Tel Aviv University, Tel Aviv, Israel; Center of Advanced Technologies in Rehabilitation, Sheba Medical Center, Tel Hashomer, Israel; Gonda Brain Research Center, Bar Ilan University, Ramat Gan, Israel.
| | - Naama Kadmon Harpaz
- Department of Applied Mathematics and Computer Science, The Weizmann Institute of Science, Rehovot, Israel.
| | - Tamar Flash
- Department of Applied Mathematics and Computer Science, The Weizmann Institute of Science, Rehovot, Israel.
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Jaywant A, Shiffrar M, Roy S, Cronin-Golomb A. Impaired perception of biological motion in Parkinson's disease. Neuropsychology 2016; 30:720-30. [PMID: 26949927 DOI: 10.1037/neu0000276] [Citation(s) in RCA: 34] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022] Open
Abstract
OBJECTIVE We examined biological motion perception in Parkinson's disease (PD). Biological motion perception is related to one's own motor function and depends on the integrity of brain areas affected in PD, including posterior superior temporal sulcus. If deficits in biological motion perception exist, they may be specific to perceiving natural/fast walking patterns that individuals with PD can no longer perform, and may correlate with disease-related motor dysfunction. METHOD Twenty-six nondemented individuals with PD and 24 control participants viewed videos of point-light walkers and scrambled versions that served as foils, and indicated whether each video depicted a human walking. Point-light walkers varied by gait type (natural, parkinsonian) and speed (0.5, 1.0, 1.5 m/s). Participants also completed control tasks (object motion, coherent motion perception), a contrast sensitivity assessment, and a walking assessment. RESULTS The PD group demonstrated significantly less sensitivity to biological motion than the control group (p < .001, Cohen's d = 1.22), regardless of stimulus gait type or speed, with a less substantial deficit in object motion perception (p = .02, Cohen's d = .68). There was no group difference in coherent motion perception. Although individuals with PD had slower walking speed and shorter stride length than control participants, gait parameters did not correlate with biological motion perception. Contrast sensitivity and coherent motion perception also did not correlate with biological motion perception. CONCLUSION PD leads to a deficit in perceiving biological motion, which is independent of gait dysfunction and low-level vision changes, and may therefore arise from difficulty perceptually integrating form and motion cues in posterior superior temporal sulcus. (PsycINFO Database Record
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Affiliation(s)
- Abhishek Jaywant
- Department of Psychological and Brain Sciences, Boston University
| | - Maggie Shiffrar
- Office of Research & Graduate Studies, California State University Northridge
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Scocchia L, Bolognini N, Convento S, Stucchi N. Cathodal transcranial direct current stimulation can stabilize perception of movement: Evidence from the two-thirds power law illusion. Neurosci Lett 2015; 609:87-91. [PMID: 26463671 DOI: 10.1016/j.neulet.2015.10.013] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/16/2015] [Revised: 09/25/2015] [Accepted: 10/05/2015] [Indexed: 01/18/2023]
Abstract
Human movements conform to specific kinematic laws of motion. One of such laws, the "two-thirds power law", describes the systematic co-variation between curvature and velocity of body movements. Noticeably, the same law also influences the perception of moving stimuli: the velocity of a dot moving along a curvilinear trajectory is perceived as uniform when the dot kinematics complies with the two-thirds power law. Instead, if the dot moves at constant speed, its velocity is perceived as highly non-uniform. This dynamic visual illusion points to a strong coupling between action and perception; however, how this coupling is implemented in the brain remains elusive. In this study, we tested whether the premotor cortex (PM) and the primary visual cortex (V1) play a role in the illusion by means of transcranial Direct Current Stimulation (tDCS). All participants underwent three tDCS sessions during which they received active or sham cathodal tDCS (1.5mA) over PM or V1 of the left hemisphere. During tDCS, participants were required to adjust the velocity of a dot moving along an elliptical trajectory until it looked uniform across the whole trajectory. Results show that occipital tDCS decreases the illusion variability both within and across participants, as compared to sham tDCS. This means that V1 stimulation increases individual sensitivity to the illusory motion and also increases coherence across different observers. Conversely, the illusion seems resistant to tDCS in terms of its magnitude, with cathodal stimulation of V1 or PM not affecting the amount of the illusory effect. Our results provide evidence for strong visuo-motor coupling in visual perception: the velocity of a dot moving along an elliptical trajectory is perceived as uniform only when its kinematics closely complies to the same law of motion that constrains human movement production. Occipital stimulation by cathodal tDCS can stabilize such illusory percept.
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Affiliation(s)
- Lisa Scocchia
- Department of Psychology, and Milan Center for Neuroscience (NeuroMi), University of Milano Bicocca, Milan, Italy
| | - Nadia Bolognini
- University of Milano-Bicocca, Dept. of Psychology, Milan, Italy; NeuroMi-Milan Center for Neuroscience, Milan, Italy; IRCCS Istituto Auxologico Italiano, Laboratory of Neuropsychology, Milano, Italy
| | - Silvia Convento
- University of Milano-Bicocca, Dept. of Psychology, Milan, Italy; Baylor college of Medicine, Dept. of Neuroscience, Houston, TX, United States
| | - Natale Stucchi
- University of Milano-Bicocca, Dept. of Psychology, Milan, Italy; NeuroMi-Milan Center for Neuroscience, Milan, Italy
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Cao R, Ye X, Chen X, Zhang L, Chen X, Tian Y, Hu P, Wang K. Exploring Biological Motion Processing in Parkinson's Disease Using Temporal Dilation. PLoS One 2015; 10:e0138502. [PMID: 26381888 PMCID: PMC4575113 DOI: 10.1371/journal.pone.0138502] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/18/2013] [Accepted: 08/31/2015] [Indexed: 11/18/2022] Open
Abstract
Biological motion (BM) perception is the compelling ability of the visual system to perceive complex animated movements effortlessly and promptly. A recent study has shown that BM can automatically lengthen perceived temporal duration independent of global configuration. The present study aimed mainly to investigate this temporal dilation effect of BM signals in Parkinson’s disease (PD) patients. We used the temporal dilation effect as an implicit measure of visual processing of BM. In all, 32 PD patients (under off-therapy conditions) and 32 healthy controls (HCs) participated in our study. In each trial, an upright BM sequence and an inverted BM sequence were presented within an interval in the center of the screen. We tested both canonical and scrambled BM sequences; the scrambled ones were generated by disturbing the global configuration of the canonical ones but preserving exactly the same local motion components. Observers were required to make a verbal two-alternative forced choice response to indicate which interval (the first or the second) appeared longer. Statistical analyses were conducted on the points of subjective equality (PSEs). We found that the temporal dilation effect was significantly reduced for PD patients compared with HCs in both canonical and scrambled BM conditions. Moreover, no temporal dilation effects of scrambled BM were shown in both early- and late-stage PD patients, while the temporal dilation effect of canonical BM was relatively preserved in the early stages.
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Affiliation(s)
- Ruihua Cao
- Department of Geriatric Medicine, Anhui Provincial Hospital, Hefei, Anhui Province, China
| | - Xing Ye
- Department of Neurology, the First Affiliated Hospital of Anhui Medical University, Hefei, Anhui Province, China
| | - Xingui Chen
- Department of Neurology, the First Affiliated Hospital of Anhui Medical University, Hefei, Anhui Province, China
| | - Long Zhang
- Department of Neurology, the First Affiliated Hospital of Anhui Medical University, Hefei, Anhui Province, China
| | - Xianwen Chen
- Department of Neurology, the First Affiliated Hospital of Anhui Medical University, Hefei, Anhui Province, China
| | - Yanghua Tian
- Department of Neurology, the First Affiliated Hospital of Anhui Medical University, Hefei, Anhui Province, China
| | - Panpan Hu
- Department of Neurology, the First Affiliated Hospital of Anhui Medical University, Hefei, Anhui Province, China
- * E-mail: (KW); (PH)
| | - Kai Wang
- Department of Neurology, the First Affiliated Hospital of Anhui Medical University, Hefei, Anhui Province, China
- * E-mail: (KW); (PH)
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Dayan E, Sella I, Mukovskiy A, Douek Y, Giese MA, Malach R, Flash T. The Default Mode Network Differentiates Biological From Non-Biological Motion. Cereb Cortex 2014; 26:234-245. [PMID: 25217472 DOI: 10.1093/cercor/bhu199] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022] Open
Abstract
The default mode network (DMN) has been implicated in an array of social-cognitive functions, including self-referential processing, theory of mind, and mentalizing. Yet, the properties of the external stimuli that elicit DMN activity in relation to these domains remain unknown. Previous studies suggested that motion kinematics is utilized by the brain for social-cognitive processing. Here, we used functional MRI to examine whether the DMN is sensitive to parametric manipulations of observed motion kinematics. Preferential responses within core DMN structures differentiating non-biological from biological kinematics were observed for the motion of a realistically looking, human-like avatar, but not for an abstract object devoid of human form. Differences in connectivity patterns during the observation of biological versus non-biological kinematics were additionally observed. Finally, the results additionally suggest that the DMN is coupled more strongly with key nodes in the action observation network, namely the STS and the SMA, when the observed motion depicts human rather than abstract form. These findings are the first to implicate the DMN in the perception of biological motion. They may reflect the type of information used by the DMN in social-cognitive processing.
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Affiliation(s)
- Eran Dayan
- Department of Computer Science and Applied Mathematics.,Department of Neurobiology, Weizmann Institute of Science, Rehovot 76100, Israel.,Present Address: Human Cortical Physiology Section, National Institute of Neurological Disorders and Stroke, National Institutes of Health, Bethesda, MD 20892 USA
| | - Irit Sella
- Department of Neurobiology, Weizmann Institute of Science, Rehovot 76100, Israel
| | - Albert Mukovskiy
- Department of Cognitive Neurology, Hertie Institute for Clinical Brain Research, Tübingen, Germany.,Center for Integrative Neuroscience, University Clinic Tübingen, Tübingen 72076, Germany
| | | | - Martin A Giese
- Department of Cognitive Neurology, Hertie Institute for Clinical Brain Research, Tübingen, Germany.,Center for Integrative Neuroscience, University Clinic Tübingen, Tübingen 72076, Germany
| | - Rafael Malach
- Department of Neurobiology, Weizmann Institute of Science, Rehovot 76100, Israel
| | - Tamar Flash
- Department of Computer Science and Applied Mathematics
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