Disentangling sensory contributions to postural control regulation through sample entropy and neural modeling: A preliminary study.
The 2 matches · all tie a paragraph to a whole file, not to given lines: weak matches, whose lines are not tinted
- [1] § Materials and methods › Behavioral experiment › Detrended fluctuation analysis. ↔ python/dfa.py, the whole file · a weak match · score 0.79 · Detrended Fluctuation, temporal correlations, scaling exponent, DFA, log, quantify
- [2] § Materials and methods › Behavioral experiment › Detrended fluctuation analysis. ↔ matlab/dfa.m, the whole file · a weak match · score 0.68 · Detrended Fluctuation, scaling exponent, DFA, log, quantify
Paper
Loaded from Europe PMC by your browser, not stored by OSCR: doi.org · Europe PMC
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The authors' code
Python · 104 lines · 3.9 KB · BSD-3-Clause · 1 match
- import numpy as np
- import matplotlib.pyplot as plt
- def dfa(data, scales, order=1, plot=True):
- """Perform Detrended Fluctuation Analysis on data
- Inputs:
- data: 1D numpy array of time series to be analyzed.
- scales: List or array of scales to calculate fluctuations
- order: Integer of polynomial fit (default=1 for linear)
- plot: Return loglog plot (default=True to return plot)
- Outputs:
- scales: The scales that were entered as input
- fluctuations: Variability measured at each scale with RMS
- alpha value: Value quantifying the relationship between the scales
- and fluctuations
- ....References:
- ........Damouras, S., Chang, M. D., Sejdi, E., & Chau, T. (2010). An empirical
- ..........examination of detrended fluctuation analysis for gait data. Gait &
- ..........posture, 31(3), 336-340.
- ........Mirzayof, D., & Ashkenazy, Y. (2010). Preservation of long range
- ..........temporal correlations under extreme random dilution. Physica A:
- ..........Statistical Mechanics and its Applications, 389(24), 5573-5580.
- ........Peng, C. K., Havlin, S., Stanley, H. E., & Goldberger, A. L. (1995).
- ..........Quantification of scaling exponents and crossover phenomena in
- ..........nonstationary heartbeat time series. Chaos: An Interdisciplinary
- ..........Journal of Nonlinear Science, 5(1), 82-87.
- # =============================================================================
- ------ EXAMPLE ------
- - Generate random data
- data = np.random.randn(5000)
- - Create a vector of the scales you want to use
- scales = [10, 20, 40, 80, 160, 320, 640, 1280, 2560]
- - Set a detrending order. Use 1 for a linear detrend.
- order = 1
- - run dfa function
- s, f, a = dfa(data, scales, order, plot=True)
- # =============================================================================
- """
- # Check if data is a column vector (2D array with one column)
- if data.shape[0] == 1:
- # Reshape the data to be a column vector
- data = data.reshape(-1, 1)
- else:
- # Data is already a column vector
- data = data
- # =============================================================================
- ########################## START DFA CALCULATION ##########################
- # =============================================================================
- # Step 1: Integrate the data
- integrated_data = np.cumsum(data - np.mean(data))
- fluctuation = []
- for scale in scales:
- # Step 2: Divide data into non-overlapping window of size 'scale'
- chunks = len(data) // scale
- ms = 0.0
- for i in range(chunks):
- this_chunk = integrated_data[i*scale:(i+1)*scale]
- x = np.arange(len(this_chunk))
- # Step 3: Fit polynomial (default is linear, i.e., order=1)
- coeffs = np.polyfit(x, this_chunk, order)
- fit = np.polyval(coeffs, x)
- # Detrend and calculate RMS for the current window
- ms += np.mean((this_chunk - fit) ** 2)
- # Calculate average RMS for this scale
- fluctuation.append(np.sqrt(ms / chunks))
- # Perform linear regression
- alpha, intercept = np.polyfit(np.log(scales), np.log(fluctuation), 1)
- # Create a log-log plot to visualize the results
- if plot:
- plt.figure(figsize=(8, 6))
- plt.loglog(scales, fluctuation, marker='o', markerfacecolor = 'red', markersize=8,
- linestyle='-', color = 'black', linewidth=1.7, label=f'Alpha = {alpha:.3f}')
- plt.xlabel('Scale (log)')
- plt.ylabel('Fluctuation (log)')
- plt.legend()
- plt.title('Detrended Fluctuation Analysis')
- plt.grid(True)
- plt.show()
- # Return the scales used, fluctuation functions and the alpha value
- return scales, fluctuation, alpha
dfa.py at commit 5056783, under BSD-3-Clause · at the source
Overview
- Italian Institute of Technology, Unit for Visually Impaired People (UVIP), Genoa, Italy
- Department of Electrical, Electronic, and Information Engineering Guglielmo Marconi, University of Bologna, Bologna, Italy
- Department of Informatics, Bioengineering, Robotics, and System Engineering (DIBRIS), Genoa, Italy
- Institute for Human & Machine Cognition (IHMC), Pensacola, Florida, United States of America
Abstract
Postural control relies on the integration of visual, vestibular, proprioceptive, and auditory inputs to maintain stability. While previous studies have explored the effects of individual sensory modalities, the combined influence of multisensory disruptions on postural predictability remains unclear. We preliminary assessed postural behavior during quiet standing under manipulated sensory conditions in healthy participants. Eight adults stood barefoot on a Wii Balance Board, wearing a mixed reality headset with headphones and receiving vibrotactile stimulation to the Achilles tendons. Experimental conditions combined vibrotactile, static, or moving auditory stimuli across three visual states (Eyes Open, Eyes Closed, Blurred Vision). Center of pressure (CoP) in anterior-posterior (AP) and medio-lateral (ML) planes was collected and analyzed for signal predictability using Sample Entropy. The same experimental procedures were simulated by a biologically inspired neural mass model to investigate multisensory integration in postural control at the neural level. Behaviorally, proprioceptive perturbation via Achilles tendon vibration significantly increased Sample Entropy in both spatial planes, indicating reduced system predictability, while blurred vision decreased only in the AP plane, suggesting less flexible postural dynamics. The neural model replicated key behavioral trends and also revealed distinct central mechanisms underlying sensory interactions: while auditory inputs had minimal behavioral effects, at the simulated neural level, they increased Sample Entropy, especially under dynamic conditions. This revealed subtle modulation of predictability from auditory cues, which was not detectable at the behavioral level. These preliminary results highlight the modality-specific contributions to postural control and demonstrate the utility of Sample Entropy as measure of predictability, with our computational modeling uncovering, for the first time to our knowledge, neural integration processes related to multisensory integration and postural control predictability.
Reproduced under the paper's license (CC BY), from the paper cited above.
Repository
Its files are read in the Code ↔ Paper reader above, with 2 matches between paragraphs and lines of code.
nonlinear-analysis-core/nonanlibrary
5056783d16b48958430ebbc1e5854628b784b0fe, 3 August 2026Availability: 1 check, the latest on 27 September 2026: the link answers
- 27 September 2026: the link answers
183 files
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Data
Datasets cited
- figshare:33120242, at figshare; found in “Data Availability”
Data Availability
All relevant data for this study are publicly available from the figshare repository (https://
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Recorded: type, language, journal, volume, issue, pages, dates, 8 authors, 11 MeSH terms, 1 funder, 45 references.
Cite
This paper
Zanchi, S., Montagnani, E., Marchetti, V., Esposito, D., Guarischi, M., Monti, M., Cuppini, C., & Gori, M. (2026). Disentangling sensory contributions to postural control regulation through sample entropy and neural modeling: A preliminary study. PloS one, 21(8), e0355402. https://
BibTeX
@article{zanchi2026disen
author = {Zanchi, Silvia and Montagnani, Eleonora and Marchetti, Victoria and Esposito, Davide and Guarischi, Marta and Monti, Melissa and Cuppini, Cristiano and Gori, Monica},
title = {{Disentangling sensory contributions to postural control regulation through sample entropy and neural modeling: A preliminary study}},
journal = {PloS one},
year = {2026},
month = aug,
volume = {21},
number = {8},
pages = {e0355402},
publisher = {PLOS},
issn = {1932-6203},
doi = {10.1371/
url = {https://
pmid = {42611886},
pmcid = {PMC13485045}
}
RIS
TY - JOUR
AU - Zanchi, Silvia
AU - Montagnani, Eleonora
AU - Marchetti, Victoria
AU - Esposito, Davide
AU - Guarischi, Marta
AU - Monti, Melissa
AU - Cuppini, Cristiano
AU - Gori, Monica
TI - Disentangling sensory contributions to postural control regulation through sample entropy and neural modeling: A preliminary study
T2 - PloS one
J2 - PLoS One
PY - 2026
DA - 2026/
VL - 21
IS - 8
SP - e0355402
SN - 1932-6203
PB - PLOS
DO - 10.1371/
UR - https://
LA - en
ER -
CSL-JSON
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