{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,4]],"date-time":"2025-11-04T10:24:49Z","timestamp":1762251889799,"version":"build-2065373602"},"reference-count":31,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2012,11,2]],"date-time":"2012-11-02T00:00:00Z","timestamp":1351814400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Falls are unpredictable accidents and resulting injuries can be serious to the elderly. A preventative solution can be the use of vibration stimulus of white noise to improve the sense of balance. In this work, a pair of vibration shoes were developed and controlled by a touch-type switch which can generate mechanical vibration noise to stimulate the patient\u2019s feet while wearing the shoes. In order to evaluate the balance stability and treatment effect of vibrating insoles in these shoes, multivariate multiscale entropy (MMSE) algorithm is applied to calculate the relative complexity index of reconstructed center of pressure (COP) signals in antero-posterior and medio-lateral directions by the multivariate empirical mode decomposition (MEMD). The results show that the balance stability of 61.5% elderly subjects is improved after wearing the developed shoes, which is more than 30.8% using multiscale entropy. In conclusion, MEMD-enhanced MMSE is able to distinguish the smaller differences between before and after the use of vibration shoes in both two directions, which is more powerful than the empirical mode decomposition (EMD)-enhanced MSE in each individual direction.<\/jats:p>","DOI":"10.3390\/e14112157","type":"journal-article","created":{"date-parts":[[2012,11,2]],"date-time":"2012-11-02T12:12:45Z","timestamp":1351858365000},"page":"2157-2172","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":37,"title":["Multivariate Multiscale Entropy Applied to Center of Pressure Signals Analysis: An Effect of Vibration Stimulation of Shoes"],"prefix":"10.3390","volume":"14","author":[{"given":"Qin","family":"Wei","sequence":"first","affiliation":[{"name":"School of Information Engineering, Wuhan University of Technology, Wuhan, 430070, China"}]},{"given":"Dong-Hai","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Information Engineering, Wuhan University of Technology, Wuhan, 430070, China"}]},{"given":"Kai-Hong","family":"Wang","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Yuan Ze University, Taoyuan, Chung-Li, 32003, Taiwan"}]},{"given":"Quan","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Information Engineering, Wuhan University of Technology, Wuhan, 430070, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8515-7933","authenticated-orcid":false,"given":"Maysam F.","family":"Abbod","sequence":"additional","affiliation":[{"name":"School of Engineering and Design, Brunel University, London, UB8 3PH, UK"}]},{"given":"Bernard C.","family":"Jiang","sequence":"additional","affiliation":[{"name":"Department of Industrial Engineering & Management, Yuan Ze University, Taoyuan, Chung-Li, 32003, Taiwan"}]},{"given":"Ku-Ping","family":"Chen","sequence":"additional","affiliation":[{"name":"Taipei Veterans General Hospital, Taoyuan Branch, Taoyuan, 33052, Taiwan"}]},{"given":"Chuan","family":"Wu","sequence":"additional","affiliation":[{"name":"Taipei Veterans General Hospital, Taoyuan Branch, Taoyuan, 33052, Taiwan"}]},{"given":"Jiann-Shing","family":"Shieh","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Yuan Ze University, Taoyuan, Chung-Li, 32003, Taiwan"},{"name":"Center for Dynamical Biomarkers and Translational Medicine, National Central University, Taoyuan, Chung-Li, 32001, Taiwan"}]}],"member":"1968","published-online":{"date-parts":[[2012,11,2]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1316","DOI":"10.1016\/j.injury.2005.05.024","article-title":"The acute medical care costs of fall-related injuries among the U.S older adults","volume":"36","author":"Roudsari","year":"2005","journal-title":"J. Care Injured."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1109\/7333.1000112","article-title":"Simulations of foot stability during gait characteristic of ankle dorsiflexor weakness in the elderly","volume":"9","author":"Gefen","year":"2001","journal-title":"IEEE Trans. Neur. Sys. Reh."},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Jiang, S.S., Zhang, B.F., and Wei, D.M. (September, January 31). The elderly fall risk assessment and prediction based on gait analysis. Proceedings of 2011 IEEE 11th International Conference on Computer and Information Technology (CIT), Pafos, Cyprus.","DOI":"10.1109\/CIT.2011.82"},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"McDonnell, M.D., Stocks, N.G., Pearce, C.E.M., and Derek, A. (2008). Stochastic Resonance: from Supra Threshold Stochastic Resonance to Stochastic Signal Quantization, Cambridge University Press. [1st ed.].","DOI":"10.1017\/CBO9780511535239"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1016\/j.clinph.2003.09.014","article-title":"Stochastic resonance and sensory information processing: a tutorial and review of application","volume":"115","author":"Moss","year":"2004","journal-title":"Clin. Neurophysiol."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1053\/apmr.2002.28025","article-title":"Noise-enhanced vibrotactile sensitivity in older adults, patients with stroke, and patients with diabetic neuropathy","volume":"83","author":"Liu","year":"2002","journal-title":"Arch. Phys. Med. Rehabil."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1186\/1743-0003-3-9","article-title":"Effect of step-synchronized vibration stimulation of soles on gait in Parkinson\u2019s disease: a pilot study","volume":"3","author":"Novak","year":"2006","journal-title":"J. Neuroeng. Rehabil."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1093\/gerona\/63.2.171","article-title":"Force platform balance measures as predictors of indoor and outdoor falls in community-dwelling women aged 63\u201376 years","volume":"63","author":"Pajala","year":"2008","journal-title":"J. Gerontol. A"},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Costa, M., Priplata, A.A., Lipsitz, L.A., Wu, Z., Huang, N.E., Goldberger, A.L., and and Peng, C.-K. (2007). Noise and poise: Enhancement of postural complexity in the elderly with a stochastic-resonance-based therapy. Europhys. Lett., 68008.","DOI":"10.1209\/0295-5075\/77\/68008"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"77","DOI":"10.3113\/FAI.2011.0077","article-title":"Effect of impeded medial longitudinal arch drop on vertical ground reaction force and center of pressure during static loading","volume":"32","author":"Chen","year":"2011","journal-title":"Foot Ankle Int."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1016\/S0167-9457(02)00077-5","article-title":"Postural orientation: Age-related changes in variability and time-to-boundary","volume":"21","author":"Riccio","year":"2002","journal-title":"Hum. Movement Sci."},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Lai, C.-L., Tseng, S.-Y., Huang, C.-H., Pei, C., Chi, W.-M., Hsu, L.-C., and Sun, T.-L. Fun and accurate static balance training to enhance fall prevention ability of aged adults: A preliminary study. Hum. Factors Ergonom. Manuf. Serv. Ind., 2012.","DOI":"10.1002\/hfm.20345"},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Jiang, B.C., Yang, W.-H., Shieh, J.-S., Fan, S.-Z., and Peng, C.-K. Entropy-based method for COP data analysis. Theor. Issues Ergonomics Sci., 2012.","DOI":"10.1080\/1463922X.2011.617109"},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Costa, M., Goldberger, A.L., and Peng, C.-K. Multiscale entropy analysis of biological signals. Phys. Rev. E., 2005.","DOI":"10.1103\/PhysRevE.71.021906"},{"key":"ref_15","first-page":"1","article-title":"Multiscale entropy analysis: A new method to detect determinism in a time series","volume":"8","author":"Sarkar","year":"2006","journal-title":"Entropy"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"903","DOI":"10.1098\/rspa.1998.0193","article-title":"The empirical mode decomposition and Hilbert spectrum for nonlinear and nonstationary time series analysis","volume":"454","author":"Huang","year":"1998","journal-title":"Proc. R. Soc. Lond. A"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1291","DOI":"10.1098\/rspa.2009.0502","article-title":"Multivariate empirical mode decomposition","volume":"466","author":"Rehman","year":"2010","journal-title":"Proc. R. Soc. A"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Ahmed, M.U., and Mandic, D.P. (2011). Multivariate multiscale entropy: A tool for complexity analysis of multichannel data. Phys. Review E., 061918.","DOI":"10.1103\/PhysRevE.84.061918"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"1186","DOI":"10.3390\/e14071186","article-title":"Multivariate Multi-Scale Permutation Entropy for Complexity Analysis of Alzheimer\u2019s Disease EEG","volume":"14","author":"Morabito","year":"2012","journal-title":"Entropy"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"2421","DOI":"10.1109\/TSP.2011.2106779","article-title":"Filter bank property of multivariate empirical mode decomposition","volume":"59","author":"Rehman","year":"2010","journal-title":"IEEE Trans. Signal Proc."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1904","DOI":"10.1364\/OL.37.001904","article-title":"Multivariate empirical mode decomposition approach for adaptive denoising of fringe patterns","volume":"37","author":"Zhou","year":"2012","journal-title":"Opt. Lett."},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Costa, M., Goldberger, A.L., and Peng, C.K. Multiscale entropy analysis of complex physiologic time series. Phys. Rev. Lett., 2002.","DOI":"10.1103\/PhysRevLett.89.068102"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1016\/j.physa.2003.08.022","article-title":"Multiscale entropy analysis of human gait dynamics","volume":"330","author":"Costa","year":"2003","journal-title":"Physica A"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"323","DOI":"10.1016\/j.physa.2005.10.008","article-title":"On multiscale entropy analysis for physiological data","volume":"366","author":"Thuraisingham","year":"2006","journal-title":"Physica A"},{"key":"ref_25","first-page":"H2039","article-title":"Physiological time series analysis using approximate entropy and sample entropy","volume":"278","author":"Richman","year":"2000","journal-title":"Am. J. Physiol."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1142\/S1793536910000422","article-title":"Complementary ensemble empirical mode decomposition: A novel noise enhanced data analysis method","volume":"02","author":"Yeh","year":"2010","journal-title":"Adv. Adapt. Data Anal."},{"key":"ref_27","first-page":"943431","article-title":"Investigating properties of the cardiovascular system using innovative analysis algorithms based on ensemble empirical mode decomposition","volume":"2012","author":"Yeh","year":"2012","journal-title":"Comp. Math. Method Med."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"60","DOI":"10.1007\/s10558-007-9045-5","article-title":"Nonlinear assessment of cerebral autoregulation from spontaneous blood pressure and cerebral blood flow fluctuations","volume":"8","author":"Hu","year":"2008","journal-title":"Cardiovasc. Eng."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1109\/TBME.2011.2162511","article-title":"Adaptive multiscale entropy analysis of multivariate neural data","volume":"59","author":"Hu","year":"2012","journal-title":"IEEE Trans. Biomed. Eng."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"978","DOI":"10.3390\/e14060978","article-title":"Adaptive computation of multiscale entropy and its application in EEG signals for monitoring depth of anesthesia during surgery","volume":"14","author":"Liu","year":"2012","journal-title":"Entropy"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"1417","DOI":"10.1109\/TITB.2010.2072963","article-title":"GPGPU-aided ensemble empirical-mode decomposition for EEG analysis during anesthesia","volume":"14","author":"Chen","year":"2010","journal-title":"IEEE Trans. Inf. Technol. B."}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/14\/11\/2157\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T21:53:18Z","timestamp":1760219598000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/14\/11\/2157"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,11,2]]},"references-count":31,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2012,11]]}},"alternative-id":["e14112157"],"URL":"https:\/\/doi.org\/10.3390\/e14112157","relation":{},"ISSN":["1099-4300"],"issn-type":[{"type":"electronic","value":"1099-4300"}],"subject":[],"published":{"date-parts":[[2012,11,2]]}}}