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Warthen KG, Walker NC, Wicklund BD, Gonzalez MM, Ramirez N, Gee SC, Al-Dasouqi H, Madore MR. Neuromodulation of the Cerebellum for Motor Applications: A Systematic Review. J Integr Neurosci 2024; 23:195. [PMID: 39473161 DOI: 10.31083/j.jin2310195] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/13/2024] [Revised: 08/30/2024] [Accepted: 09/10/2024] [Indexed: 11/14/2024] Open
Abstract
BACKGROUND Despite the connections and clear importance of the cerebellum in motor function, research utilizing cerebellar neuromodulation for treatment of movement disorders is still underdeveloped. Here we conduct a systematic review to investigate non-invasive neurostimulation of the cerebellum and its potential impact on motor systems and its function. Our aim is to give a general review of each neurostimulation study focusing on the cerebellum as a treatment target in the past five years at time of search, in order to update the field on current findings and inspire similar cerebellar neurostimulation research without unnecessary repetition. METHODS Using the Preferred Reporting Items for Systematic reviews and Meta-Analyses (PRISMA) guidelines, our search included articles over the past five years that evaluated neurostimulation of the cerebellum (e.g., transcranial magnetic stimulation, transcranial direct current stimulation, and transcranial alternating current stimulation, etc.). Inclusion criteria included: (1) neurostimulation (repetitive transcranial magnetic stimulation (rTMS), transcranial direct current stimulation (tDCS), transcranial alternating current stimulation (tACS)) of the cerebellum; (2) only original articles, and (3) outcomes focused on motor functions. Exclusion criteria included: (1) neurostimulation with the goal of targeting any brain structure other than the cerebellum and (2) reviews and conference abstracts. RESULTS The search revealed 82 distinct articles relevant to the research question. Included are 17 articles concerning rTMS, 56 articles concerning tDCS, and 9 articles concerning tACS. The majority of the studies are controlled trials of varying types, with 79, with two case studies and one pilot study. CONCLUSIONS Many studies showed significant effects on motor function and circuitry via non-invasive neurostimulation of the cerebellum. Common targets of cerebellar neurostimulation include visuomotor control, stroke rehabilitation for improvements in balance and coordination, and motor skill acquisition. The field is still exploring ideal parameters of neurostimulation for each disorder or function of interest. Future research areas should include the inclusion of individual anatomy, including functional connectivity, and improving stimulation selectivity.
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Affiliation(s)
- Katherine G Warthen
- Mental Illness Research, Education, and Clinical Center, VA Palo Alto Healthcare System, Palo Alto, CA 94304, USA
- Department of Psychiatry and Behavioral Sciences, Stanford University School of Medicine, Stanford, CA 94305, USA
| | - Nicole C Walker
- Mental Illness Research, Education, and Clinical Center, VA Palo Alto Healthcare System, Palo Alto, CA 94304, USA
- Department of Psychiatry and Behavioral Sciences, Stanford University School of Medicine, Stanford, CA 94305, USA
| | - Bo Dehm Wicklund
- Mental Illness Research, Education, and Clinical Center, VA Palo Alto Healthcare System, Palo Alto, CA 94304, USA
| | - Mia M Gonzalez
- Mental Illness Research, Education, and Clinical Center, VA Palo Alto Healthcare System, Palo Alto, CA 94304, USA
| | - Nathan Ramirez
- Mental Illness Research, Education, and Clinical Center, VA Palo Alto Healthcare System, Palo Alto, CA 94304, USA
| | - Stephanie C Gee
- Mental Illness Research, Education, and Clinical Center, VA Palo Alto Healthcare System, Palo Alto, CA 94304, USA
| | - Hanaa Al-Dasouqi
- Mental Illness Research, Education, and Clinical Center, VA Palo Alto Healthcare System, Palo Alto, CA 94304, USA
| | - Michelle R Madore
- Mental Illness Research, Education, and Clinical Center, VA Palo Alto Healthcare System, Palo Alto, CA 94304, USA
- Department of Psychiatry and Behavioral Sciences, Stanford University School of Medicine, Stanford, CA 94305, USA
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Hill CM, Sebastião E, Barzi L, Wilson M, Wood T. Reinforcement feedback impairs locomotor adaptation and retention. Front Behav Neurosci 2024; 18:1388495. [PMID: 38720784 PMCID: PMC11076767 DOI: 10.3389/fnbeh.2024.1388495] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/19/2024] [Accepted: 04/10/2024] [Indexed: 05/12/2024] Open
Abstract
Introduction Locomotor adaptation is a motor learning process used to alter spatiotemporal elements of walking that are driven by prediction errors, a discrepancy between the expected and actual outcomes of our actions. Sensory and reward prediction errors are two different types of prediction errors that can facilitate locomotor adaptation. Reward and punishment feedback generate reward prediction errors but have demonstrated mixed effects on upper extremity motor learning, with punishment enhancing adaptation, and reward supporting motor memory. However, an in-depth behavioral analysis of these distinct forms of feedback is sparse in locomotor tasks. Methods For this study, three groups of healthy young adults were divided into distinct feedback groups [Supervised, Reward, Punishment] and performed a novel locomotor adaptation task where each participant adapted their knee flexion to 30 degrees greater than baseline, guided by visual supervised or reinforcement feedback (Adaptation). Participants were then asked to recall the new walking pattern without feedback (Retention) and after a washout period with feedback restored (Savings). Results We found that all groups learned the adaptation task with external feedback. However, contrary to our initial hypothesis, enhancing sensory feedback with a visual representation of the knee angle (Supervised) accelerated the rate of learning and short-term retention in comparison to monetary reinforcement feedback. Reward and Punishment displayed similar rates of adaptation, short-term retention, and savings, suggesting both types of reinforcement feedback work similarly in locomotor adaptation. Moreover, all feedback enhanced the aftereffect of locomotor task indicating changes to implicit learning. Discussion These results demonstrate the multi-faceted nature of reinforcement feedback on locomotor adaptation and demonstrate the possible different neural substrates that underly reward and sensory prediction errors during different motor tasks.
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Affiliation(s)
- Christopher M. Hill
- Department of Kinesiology and Physical Education, Northern Illinois University, Dekalb, IL, United States
- School of Kinesiology, Louisiana State University, Baton Rouge, LA, United States
| | - Emerson Sebastião
- Department of Health and Kinesiology, University of Illinois Urbana-Champaign, Urbana, IL, United States
| | - Leo Barzi
- Department of Kinesiology and Physical Education, Northern Illinois University, Dekalb, IL, United States
| | - Matt Wilson
- School of Allied Health and Communicative Disorders, Northern Illinois University, Dekalb, IL, United States
| | - Tyler Wood
- Department of Kinesiology and Physical Education, Northern Illinois University, Dekalb, IL, United States
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Petríková D, Marko M, Rovný R, Riečanský I. Electrical stimulation of the cerebellum facilitates automatic but not controlled word retrieval. Brain Struct Funct 2023; 228:2137-2146. [PMID: 37783862 PMCID: PMC10587269 DOI: 10.1007/s00429-023-02712-0] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/06/2023] [Accepted: 09/10/2023] [Indexed: 10/04/2023]
Abstract
Recent research has indicated that the cerebellum is engaged in language functions, yet the role of the cerebellum in lexical-semantic memory is poorly understood. In a double-blind randomized controlled experiment, we therefore targeted the cerebellum by transcranial direct current stimulation (tDCS) to assess and compare the contribution of the cerebellar processing to automatic and controlled retrieval of words in healthy adults (n = 136). Anodal cerebellar tDCS facilitated retrieval of semantically related words in free-associative chains, which was not due to a non-specific acceleration of processing speed. The stimulation had no influence on controlled word retrieval that employed inhibition or switching. The effect of cathodal tDCS was opposite to the anodal stimulation, but statistically non-significant. Our data show that the cerebellum is engaged extracting associative information from the system of semantic representations, established and strengthened/automated by learning, and indicates a domain-general role of this structure in automation of behavior, cognition and language.
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Affiliation(s)
- Dominika Petríková
- Department of Behavioural Neuroscience, Centre of Experimental Medicine, Slovak Academy of Sciences, Sienkiewiczova 1, 81371, Bratislava, Slovakia
| | - Martin Marko
- Department of Behavioural Neuroscience, Centre of Experimental Medicine, Slovak Academy of Sciences, Sienkiewiczova 1, 81371, Bratislava, Slovakia
- Department of Applied Informatics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Bratislava, Slovakia
| | - Rastislav Rovný
- Department of Behavioural Neuroscience, Centre of Experimental Medicine, Slovak Academy of Sciences, Sienkiewiczova 1, 81371, Bratislava, Slovakia
| | - Igor Riečanský
- Department of Behavioural Neuroscience, Centre of Experimental Medicine, Slovak Academy of Sciences, Sienkiewiczova 1, 81371, Bratislava, Slovakia.
- Department of Psychiatry, Faculty of Medicine, Slovak Medical University in Bratislava, Bratislava, Slovakia.
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Fettrow T, Hupfeld K, Hass C, Pasternak O, Seidler R. Neural correlates of gait adaptation in younger and older adults. Sci Rep 2023; 13:3842. [PMID: 36890163 PMCID: PMC9995534 DOI: 10.1038/s41598-023-30766-x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/19/2022] [Accepted: 02/28/2023] [Indexed: 03/10/2023] Open
Abstract
Mobility decline is a major concern for older adults. A key component of maintaining mobility with advancing age is the ability to learn and adapt to the environment. The split-belt treadmill paradigm is an experimental protocol that tests the ability to adapt to a dynamic environment. Here we examined the magnetic resonance imaging (MRI) derived structural neural correlates of individual differences in adaptation to split-belt walking for younger and older adults. We have previously shown that younger adults adopt an asymmetric walking pattern during split-belt walking, particularly in the medial-lateral (ML) direction, but older adults do not. We collected T[Formula: see text]-weighted and diffusion-weighted MRI scans to quantify brain morphological characteristics (i.e. in the gray matter and white matter) on these same participants. We investigated two distinct questions: (1) Are there structural brain metrics that are associated with the ability to adopt asymmetry during split-belt walking; and (2) Are there different brain-behavior relationships for younger and older adults? Given the growing evidence that indicates the brain has a critical role in the maintenance of gait and balance, we hypothesized that brain areas commonly associated with locomotion (i.e. basal ganglia, sensorimotor cortex, cerebellum) would be associated with ML asymmetry and that older adults would show more associations between split-belt walking and prefrontal brain areas. We identified multiple brain-behavior associations. More gray matter volume in the superior frontal gyrus and cerebellar lobules VIIB and VIII, more sulcal depth in the insula, more gyrification in the pre/post central gyri, and more fractional anisotropy in the corticospinal tract and inferior longitudinal fasciculus corresponded to more gait asymmetry. These associations did not differ between younger and older adults. This work progresses our understanding of how brain structure is associated with balance during walking, particularly during adaptation.
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Affiliation(s)
- Tyler Fettrow
- Department of Applied Physiology and Kinesiology, University of Florida, Gainesville, FL, 32605, USA.
- NASA Langley Research Center, Hampton, VA, USA.
| | - Kathleen Hupfeld
- Department of Applied Physiology and Kinesiology, University of Florida, Gainesville, FL, 32605, USA
| | - Chris Hass
- Department of Applied Physiology and Kinesiology, University of Florida, Gainesville, FL, 32605, USA
| | - Ofer Pasternak
- Department of Psychiatry, Brigham and Women's Hospital, Harvard Medical School, Boston, MA, USA
| | - Rachael Seidler
- Department of Applied Physiology and Kinesiology, University of Florida, Gainesville, FL, 32605, USA
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Hagen AC. Is Cerebellar Anodal Transcranial Direct Current Stimulation an Appropriate Locomotor Intervention for People with Multiple Sclerosis? J Neurophysiol 2022; 128:250-252. [PMID: 35730746 DOI: 10.1152/jn.00156.2022] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022] Open
Abstract
The present article demonstrates split-belt treadmill training, but not cerebellar transcranial direct current stimulation (tDCS), reduces fall risk for people with multiple sclerosis. Concerns regarding the implementation of the split-belt paradigm, coupled with insensitive outcome measures and a non-optimal neural target for tDCS may have contributed to the limited gait improvements observed. A more fitting stimulation may be to target nervous system structures in the periphery to improve sensorimotor transduction and elicit more accurate proprioception.
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Affiliation(s)
- Andrew Carter Hagen
- Department of Health and Exercise Science, Colorado State University, Fort Collins, CO, United States
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Tzvi E, Loens S, Donchin O. Mini-review: The Role of the Cerebellum in Visuomotor Adaptation. THE CEREBELLUM 2021; 21:306-313. [PMID: 34080132 PMCID: PMC8993777 DOI: 10.1007/s12311-021-01281-4] [Citation(s) in RCA: 25] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Accepted: 05/16/2021] [Indexed: 12/20/2022]
Abstract
The incredible capability of the brain to quickly alter performance in response to ever-changing environment is rooted in the process of adaptation. The core aspect of adaptation is to fit an existing motor program to altered conditions. Adaptation to a visuomotor rotation or an external force has been well established as tools to study the mechanisms underlying sensorimotor adaptation. In this mini-review, we summarize recent findings from the field of visuomotor adaptation. We focus on the idea that the cerebellum plays a central role in the process of visuomotor adaptation and that interactions with cortical structures, in particular, the premotor cortex and the parietal cortex, may be crucial for this process. To this end, we cover a range of methodologies used in the literature that link cerebellar functions and visuomotor adaptation; behavioral studies in cerebellar lesion patients, neuroimaging and non-invasive stimulation approaches. The mini-review is organized as follows: first, we provide evidence that sensory prediction errors (SPE) in visuomotor adaptation rely on the cerebellum based on behavioral studies in cerebellar patients. Second, we summarize structural and functional imaging studies that provide insight into spatial localization as well as visuomotor adaptation dynamics in the cerebellum. Third, we discuss premotor — cerebellar interactions and how these may underlie visuomotor adaptation. And finally, we provide evidence from transcranial direct current and magnetic stimulation studies that link cerebellar activity, beyond correlational relationships, to visuomotor adaptation .
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Affiliation(s)
- Elinor Tzvi
- Department of Neurology, University of Leipzig, Liebigstraße 20, 04103, Leipzig, Germany.
| | - Sebastian Loens
- Institute of Systems Motor Science, University of Lübeck, Ratzeburger Allee 160, 23538, Lübeck, Germany
| | - Opher Donchin
- Motor Learning Lab, Ben Gurion University of the Negev, Be'er Sheva, Israel
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Cerebellar Transcranial Direct Current Stimulation for Motor Learning in People with Chronic Stroke: A Pilot Randomized Controlled Trial. Brain Sci 2020; 10:brainsci10120982. [PMID: 33327476 PMCID: PMC7764949 DOI: 10.3390/brainsci10120982] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/16/2020] [Revised: 12/07/2020] [Accepted: 12/10/2020] [Indexed: 11/16/2022] Open
Abstract
Cerebellar transcranial direct current stimulation (ctDCS) is a non-invasive brain stimulation technique that alters neural plasticity through weak, continuous, direct currents delivered to the cerebellum. This study aimed to evaluate the feasibility of conducting a randomized controlled trial (RCT) delivering three consecutive days of ctDCS during split-belt treadmill training (SBTT) in people with chronic stroke. Using a double-blinded, parallel-group RCT design, eligible participants were randomly allocated to receive either active anodal ctDCS or sham ctDCS combined with SBTT on three consecutive days. Outcomes were assessed at one-week follow-up, using step length symmetry as a measure of motor learning and comfortable over-ground walking speed as a measure of walking capacity. The feasibility of the RCT protocol was evaluated based on recruitment, retention, protocol deviations and data completeness. The feasibility of the intervention was assessed based on safety, adherence and intervention fidelity. Of the 26 potential participants identified over four months, only four were enrolled in the study (active anodal ctDCS n = 1, sham ctDCS n = 3). Both the inclusion criteria and the fidelity of the SBTT relied upon the accurate estimation of step length asymmetry. The method used to determine the side of the step length asymmetry was unreliable and led to deviations in the protocol. The ctDCS intervention was well adhered to, safe, and delivered as per the planned protocol. Motor learning outcomes for individual participants revealed that treadmill step length symmetry remained unchanged for three participants but improved for one participant (sham ctDCS). Comfortable over-ground walking speed improved for two participants (sham ctDCS). The feasibility of the planned protocol and intervention was limited by intra-individual variability in the magnitude and side of the step length asymmetry. This limited the sample and compromised the fidelity of the SBTT intervention. To feasibly conduct a full RCT investigating the effect of ctDCS on locomotor adaptation, a reliable method of identifying and defining step length asymmetry in people with stroke is required. Future ctDCS research should either optimize the methods for SBTT delivery or utilize an alternative motor adaptation task.
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Besson P, Muthalib M, De Vassoigne C, Rothwell J, Perrey S. Effects of Multiple Sessions of Cathodal Priming and Anodal HD-tDCS on Visuo Motor Task Plateau Learning and Retention. Brain Sci 2020; 10:E875. [PMID: 33228236 PMCID: PMC7699517 DOI: 10.3390/brainsci10110875] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/30/2020] [Revised: 10/24/2020] [Accepted: 11/18/2020] [Indexed: 01/18/2023] Open
Abstract
A single session of priming cathodal transcranial direct current stimulation (tDCS) prior to anodal tDCS (c-a-tDCS) allows cumulative effects on motor learning and retention. However, the impact of multiple sessions of c-a-tDCS priming on learning and retention remains unclear. Here, we tested whether multiple sessions of c-a-tDCS (over 3 consecutive days) applied over the left sensorimotor cortex can further enhance motor learning and retention of an already learned visuo-motor task as compared to anodal tDCS (a-tDCS) or sham. In a between group and randomized double-blind sham-controlled study design, 25 participants separated in 3 independent groups underwent 2 days of baseline training without tDCS followed by 3-days of training with both online and offline tDCS, and two retention tests (1 and 14 days later). Each training block consisted of five trials of a 60 s circular-tracing task intersected by 60 s rest, and performance was assessed in terms of speed-accuracy trade-off represented notably by an index of performance (IP). The main findings of this exploratory study were that multiple sessions of c-a-tDCS significantly further enhanced IP above baseline training levels over the 3 training days that were maintained over the 2 retention days, but these learning and retention performance changes were not significantly different from the sham group. Subtle differences in the changes in speed-accuracy trade-off (components of IP) between c-a-tDCS (maintenance of accuracy over increasing speed) and a-tDCS (increasing speed over maintenance of accuracy) provide preliminary insights to a mechanistic modulation of motor performance with priming and polarity of tDCS.
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Affiliation(s)
- Pierre Besson
- EuroMov Digital Health in Motion, Univ Montpellier, IMT Mines Ales, 34090 Montpellier, France; (P.B.); (M.M.); (C.D.V.)
| | - Makii Muthalib
- EuroMov Digital Health in Motion, Univ Montpellier, IMT Mines Ales, 34090 Montpellier, France; (P.B.); (M.M.); (C.D.V.)
- SilverLine Research, 4127 Brisbane, Australia
| | - Christophe De Vassoigne
- EuroMov Digital Health in Motion, Univ Montpellier, IMT Mines Ales, 34090 Montpellier, France; (P.B.); (M.M.); (C.D.V.)
| | - Jonh Rothwell
- Institute of Neurology, University College London, London WC1N 3BG, UK;
| | - Stephane Perrey
- EuroMov Digital Health in Motion, Univ Montpellier, IMT Mines Ales, 34090 Montpellier, France; (P.B.); (M.M.); (C.D.V.)
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Nguemeni C, Homola GA, Nakchbandi L, Pham M, Volkmann J, Zeller D. A Single Session of Anodal Cerebellar Transcranial Direct Current Stimulation Does Not Induce Facilitation of Locomotor Consolidation in Patients With Multiple Sclerosis. Front Hum Neurosci 2020; 14:588671. [PMID: 33192424 PMCID: PMC7661800 DOI: 10.3389/fnhum.2020.588671] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/29/2020] [Accepted: 10/12/2020] [Indexed: 12/02/2022] Open
Abstract
Background: Multiple sclerosis (MS) may cause variable functional impairment. The discrepancy between functional impairment and brain imaging findings in patients with MS (PwMS) might be attributed to differential adaptive and consolidation capacities. Modulating those abilities could contribute to a favorable clinical course of the disease. Objectives: We examined the effect of cerebellar transcranial direct current stimulation (c-tDCS) on locomotor adaptation and consolidation in PwMS using a split-belt treadmill (SBT) paradigm. Methods: 40 PwMS and 30 matched healthy controls performed a locomotor adaptation task on a SBT. First, we assessed locomotor adaptation in PwMS. In a second investigation, this training was followed by cerebellar anodal tDCS applied immediately after the task ipsilateral to the fast leg (T0). The SBT paradigm was repeated 24 h (T1) and 78 h (T2) post-stimulation to evaluate consolidation. Results: The gait dynamics and adaptation on the SBT were comparable between PwMS and controls. We found no effects of offline cerebellar anodal tDCS on locomotor adaptation and consolidation. Participants who received the active stimulation showed the same retention index than sham-stimulated subjects at T1 (p = 0.33) and T2 (p = 0.46). Conclusion: Locomotor adaptation is preserved in people with mild-to-moderate MS. However, cerebellar anodal tDCS applied immediately post-training does not further enhance this ability. Future studies should define the neurobiological substrates of maintained plasticity in PwMS and how these substrates can be manipulated to improve compensation. Systematic assessments of methodological variables for cerebellar tDCS are urgently needed to increase the consistency and replicability of the results across experiments in various settings.
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Affiliation(s)
- Carine Nguemeni
- Department of Neurology, University Hospital of Würzburg, Würzburg, Germany
| | - György A Homola
- Department of Neuroradiology, University Hospital of Würzburg, Würzburg, Germany
| | - Luis Nakchbandi
- Department of Neurology, University Hospital of Würzburg, Würzburg, Germany
| | - Mirko Pham
- Department of Neuroradiology, University Hospital of Würzburg, Würzburg, Germany
| | - Jens Volkmann
- Department of Neurology, University Hospital of Würzburg, Würzburg, Germany
| | - Daniel Zeller
- Department of Neurology, University Hospital of Würzburg, Würzburg, Germany
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Rashid U, Kumari N, Signal N, Taylor D, Vandal AC. On Nonlinear Regression for Trends in Split-Belt Treadmill Training. Brain Sci 2020; 10:E737. [PMID: 33066492 PMCID: PMC7602156 DOI: 10.3390/brainsci10100737] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/22/2020] [Revised: 10/07/2020] [Accepted: 10/10/2020] [Indexed: 11/20/2022] Open
Abstract
Single and double exponential models fitted to step length symmetry series are used to evaluate the timecourse of adaptation and de-adaptation in instrumented split-belt treadmill tasks. Whilst the nonlinear regression literature has developed substantially over time, the split-belt treadmill training literature has not been fully utilising the fruits of these developments. In this research area, the current methods of model fitting and evaluation have three significant limitations: (i) optimisation algorithms that are used for model fitting require a good initial guess for regression parameters; (ii) the coefficient of determination (R2) is used for comparing and evaluating models, yet it is considered to be an inadequate measure of fit for nonlinear regression; and, (iii) inference is based on comparison of the confidence intervals for the regression parameters that are obtained under the untested assumption that the nonlinear model has a good linear approximation. In this research, we propose a transformed set of parameters with a common language interpretation that is relevant to split-belt treadmill training for both the single and double exponential models. We propose parameter bounds for the exponential models which allow the use of particle swarm optimisation for model fitting without an initial guess for the regression parameters. For model evaluation and comparison, we propose the use of residual plots and Akaike's information criterion (AIC). A method for obtaining confidence intervals that does not require the assumption of a good linear approximation is also suggested. A set of MATLAB (MathWorks, Inc., Natick, MA, USA) functions developed in order to apply these methods are also presented. Single and double exponential models are fitted to both the group-averaged and participant step length symmetry series in an experimental dataset generating new insights into split-belt treadmill training. The proposed methods may be useful for research involving analysis of gait symmetry with instrumented split-belt treadmills. Moreover, the demonstration of the suggested statistical methods on an experimental dataset may help the uptake of these methods by a wider community of researchers that are interested in timecourse of motor training.
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Affiliation(s)
- Usman Rashid
- Health & Rehabilitation Research Institute, Auckland University of Technology, Auckland 1010, New Zealand; (N.K.); (N.S.); (D.T.)
| | - Nitika Kumari
- Health & Rehabilitation Research Institute, Auckland University of Technology, Auckland 1010, New Zealand; (N.K.); (N.S.); (D.T.)
- Centre for Chiropractic Research, New Zealand College of Chiropractic, Auckland 1060, New Zealand
| | - Nada Signal
- Health & Rehabilitation Research Institute, Auckland University of Technology, Auckland 1010, New Zealand; (N.K.); (N.S.); (D.T.)
| | - Denise Taylor
- Health & Rehabilitation Research Institute, Auckland University of Technology, Auckland 1010, New Zealand; (N.K.); (N.S.); (D.T.)
| | - Alain C. Vandal
- Department of Statistics, The University of Auckland, Auckland 1010, New Zealand;
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