OSCR

Synergy-based feedforward with minimal feedback control predicts walking over multiple cycles.

Overview

Authors: Spencer T Williams1, Geng Li1, Benjamin J Fregly1
  1. Rice Computational Neuromechanics Lab, Department of Mechanical Engineering, Rice University, Houston, TX, United States
Institutions: Rice University (United States)
Journal: Frontiers in bioengineering and biotechnology, volume 14, article 1824839
Dates: received 6 March 2026; accepted 26 June 2026; published online 3 August 2026
Type: Research article · Language: English
License: CC BY
Identifiers: DOI 10.3389/fbioe.2026.1824839 · PMID 42609400 · PMCID PMC13478117 · OpenAlex W7172255784
Open access: gold, a free copy (OpenAlex)
Status: code verified
Categories: other (modality), human (organism), stroke (population)
Methods: Spectral & time-frequency, Physiology & signal measures
Keywords: EMG-driven modeling, model personalization, muscle synergies, neural feedback, neuromusculoskeletal modeling, predictive simulation, stroke, treatment optimization
Topic: Muscle activation and electromyography studies (Biomedical Engineering, Engineering), according to OpenAlex
Funding: NIBIB NIH HHS (R01 EB030520)
Citations: not cited yet (Europe PMC); 35 references in the paper

Abstract

Neural feedback is important for the control of movement, and multiple neurological disorders (e.g., stroke, cerebral palsy, Parkinson’s disease, incomplete spinal cord injury) are characterized by altered neural feedback. Researchers have created numerous computational neuromusculoskeletal models controlled by simulated neural feedback mechanisms, but these models rarely represent actual human subjects and thus have not found practical clinical application. As a step toward designing patient-specific treatments for individuals with neurological disorders, this study used the Neuromusculoskeletal Modeling Pipeline to develop and evaluate a novel synergy-based feedforward (FF)+feedback (FB) control model using a personalized three-dimensional neuromusculoskeletal walking model of an actual human subject post-stroke. Experimental walking data collected from the subject were used to create the subject’s personalized walking model. Then for five calibration walking cycles, personalized synergy-based FF + FB control models were created. First, the personalized model was used to estimate lower body muscle activations, consistent with the subject’s electromyographic, joint motion, and joint moment data. Second, five synergy activations per leg with associated synergy vectors were calculated that closely reconstructed the subject’s muscle activations and joint moments simultaneously. Third, nominal FF synergy activation controls were calculated by averaging the synergy activations for each leg. Fourth, the nominal FF synergy controls were scaled by 0%, 25%, 50%, 75%, 100%, and 125%, and the gap in reproducing the subject’s muscle activations was filled by fitting FB synergy activation controls as a function of joint positions, velocities, and moments as surrogates for muscle lengths, muscle velocities, and tendon forces. Next for three testing walking cycles, six synergy-based FF + FB models were used to control the subject’s personalized walking model in predictive simulations. The 100% FF model (which still had minimal FB) reproduced the testing walking cycles the most closely, and only the 75%, 100%, and 125% FF models predicted near-periodic walking motions using initial conditions consistent with experimental values. The 0%, 25%, and 50% FF models could generate near-periodic walking motions only when the initial conditions were allowed to diverge substantially from experimental values. Our findings suggest that predictive simulations of walking may require substantial feedforward control when modeling an actual human subject.

Reproduced under the paper's license (CC BY), from the paper cited above.

Code

No file of the authors' code could be read here: it is described below, and read at its source.

simtk.org

License: none: the authors keep all their rights
State: the link answers, verified on 26 September 2026
Evidence: the link answers
Software Heritage: not checked
Found in: the text, “Neuromusculoskeletal modeling”
Not found: README, license file, CITATION.cff, environment file, tests, continuous integration, documentation
Availability: 1 check, the latest on 26 September 2026: the link answers (HTTP 200)
  • 26 September 2026: the link answers (HTTP 200)
At the source: SimTK.org

simtk.org/projects/synergyfeedback

License: none: the authors keep all their rights
State: the link answers, verified on 26 September 2026
Evidence: the link answers
Software Heritage: not checked
Found in: “Data availability statement”
Not found: README, license file, CITATION.cff, environment file, tests, continuous integration, documentation
Availability: 1 check, the latest on 26 September 2026: the link answers (HTTP 200)
  • 26 September 2026: the link answers (HTTP 200)

The paper's code and data availability statement is in the Data section.

Tracing map

Proposed by the machine: these links were found in the paper and verified at the source, without human review. The map will receive a Zenodo DOI once one of the paper's authors has validated it with their ORCID.

What the map holds:

  • 2 repositories of the authors' code, each at its verified commit, with its license and how the link was found in the paper;
  • 0 scripts, each with its path and the digest of its content;
  • no match between paragraphs and code yet;
  • neither the text of the paper nor the code itself.

Its JSON (tracing-map.json) is deposited on Zenodo with its DOI once the map is validated.

Data

No dataset and no data link were found in the paper.

Data availability statement

The experimental data, OpenSim and NMSM Pipeline models, NMSM Pipeline settings files, and MATLAB code used to generate the results of this study are available online in the repository below: https://simtk.org/projects/synergyfeedback.

Reproduced under the paper's license (CC BY), from the paper cited above.

Versions

The history of this record: each version stored by the harvester or made by a correction of its authors or of the maintainers of its code, and what changed in its facts. The texts of the paper (its abstract, its availability statements) are not part of it; versions that changed only those are not listed.

Version 1, 27 September 2026: the first record

Recorded: type, language, journal, volume, pages, dates, 3 authors, 8 keywords, 1 funder, 34 references.

Cite

This paper

Williams, S. T., Li, G., & Fregly, B. J. (2026). Synergy-based feedforward with minimal feedback control predicts walking over multiple cycles. Frontiers in bioengineering and biotechnology, 14, 1824839. https://doi.org/10.3389/fbioe.2026.1824839

BibTeX

@article{williams2026synergy,
author = {Williams, Spencer T and Li, Geng and Fregly, Benjamin J},
title = {{Synergy-based feedforward with minimal feedback control predicts walking over multiple cycles}},
journal = {Frontiers in bioengineering and biotechnology},
year = {2026},
month = aug,
volume = {14},
pages = {1824839},
publisher = {Frontiers Media SA},
issn = {2296-4185},
doi = {10.3389/fbioe.2026.1824839},
url = {https://doi.org/10.3389/fbioe.2026.1824839},
pmid = {42609400},
pmcid = {PMC13478117}
}

RIS

TY - JOUR
AU - Williams, Spencer T
AU - Li, Geng
AU - Fregly, Benjamin J
TI - Synergy-based feedforward with minimal feedback control predicts walking over multiple cycles
T2 - Frontiers in bioengineering and biotechnology
J2 - Front Bioeng Biotechnol
PY - 2026
DA - 2026/08/03
VL - 14
SP - 1824839
SN - 2296-4185
PB - Frontiers Media SA
DO - 10.3389/fbioe.2026.1824839
UR - https://doi.org/10.3389/fbioe.2026.1824839
LA - en
ER -

CSL-JSON

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