L-cube polynomial for the recognition of normal and hypertensive string-like pulse mappings in Chinese medicine

Objective: Since pulse feeling has been well translated using three-dimensional pulse mapping (3DPM) followed by pulse mapping analysis (PMA) instead of pulse wave analysis (PWA), mathematics such as polynomials is further considerably applied for the description of 3DPM patterns. Methods: To elucid...

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Main Authors: Ching-Hsing Luo, Jhong-Wun Ye, Chien-Yu Lin, Tsung-Lin Lee, Liang-Miin Tsai, Meng-Dar Shieh
Format: Article
Language:English
Published: Elsevier 2018-01-01
Series:Informatics in Medicine Unlocked
Online Access:http://www.sciencedirect.com/science/article/pii/S2352914817302150
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spelling doaj-f382369063d04513842b6d8463ebc6362020-11-24T21:21:46ZengElsevierInformatics in Medicine Unlocked2352-91482018-01-01122733L-cube polynomial for the recognition of normal and hypertensive string-like pulse mappings in Chinese medicineChing-Hsing Luo0Jhong-Wun Ye1Chien-Yu Lin2Tsung-Lin Lee3Liang-Miin Tsai4Meng-Dar Shieh5School of Data and Computer Science, Sun Yat-Sen University, Guangzhou 510006, China; Department of Electrical Engineering, National Cheng Kung University, Tainan 70101, Taiwan; Corresponding author. Department of Electrical Engineering, National Cheng Kung University, Tainan 70101, Taiwan.Department of Electrical Engineering, National Cheng Kung University, Tainan 70101, TaiwanDepartment of Electrical Engineering, National Cheng Kung University, Tainan 70101, TaiwanDepartment of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung 80424, Taiwan; Corresponding author.School of Medicine, National Cheng Kung University, Tainan 70101, TaiwanDepartment of Industrial Design, National Cheng Kung University, Tainan 70101, TaiwanObjective: Since pulse feeling has been well translated using three-dimensional pulse mapping (3DPM) followed by pulse mapping analysis (PMA) instead of pulse wave analysis (PWA), mathematics such as polynomials is further considerably applied for the description of 3DPM patterns. Methods: To elucidate the clinical indices of 3DPM patterns, an L-cube polynomial consisting of a major exponential function is proposed based on the Zernike polynomials. Results: The axis ratio r in the L-cube polynomial, which geometrically represents the ratio of the 3DPM longitudinal and transverse axes, is closely related to the augmentation index AIx showing the degree of artery stiffness during a cold pressor test (CPT). Conclusion: The axis ratio r is a useful index to recognize normal and hypertensive string-like pulse mappings. It is shown that The L-cube polynomial may become a very useful tool to elucidate valuable 3DPM indices from the CM pulse feeling database for clinical applications. Keywords: Chinese medicine (CM), Three-dimensional pulse mapping (3DPM), Pulse recognition, L-cube polynomialhttp://www.sciencedirect.com/science/article/pii/S2352914817302150
collection DOAJ
language English
format Article
sources DOAJ
author Ching-Hsing Luo
Jhong-Wun Ye
Chien-Yu Lin
Tsung-Lin Lee
Liang-Miin Tsai
Meng-Dar Shieh
spellingShingle Ching-Hsing Luo
Jhong-Wun Ye
Chien-Yu Lin
Tsung-Lin Lee
Liang-Miin Tsai
Meng-Dar Shieh
L-cube polynomial for the recognition of normal and hypertensive string-like pulse mappings in Chinese medicine
Informatics in Medicine Unlocked
author_facet Ching-Hsing Luo
Jhong-Wun Ye
Chien-Yu Lin
Tsung-Lin Lee
Liang-Miin Tsai
Meng-Dar Shieh
author_sort Ching-Hsing Luo
title L-cube polynomial for the recognition of normal and hypertensive string-like pulse mappings in Chinese medicine
title_short L-cube polynomial for the recognition of normal and hypertensive string-like pulse mappings in Chinese medicine
title_full L-cube polynomial for the recognition of normal and hypertensive string-like pulse mappings in Chinese medicine
title_fullStr L-cube polynomial for the recognition of normal and hypertensive string-like pulse mappings in Chinese medicine
title_full_unstemmed L-cube polynomial for the recognition of normal and hypertensive string-like pulse mappings in Chinese medicine
title_sort l-cube polynomial for the recognition of normal and hypertensive string-like pulse mappings in chinese medicine
publisher Elsevier
series Informatics in Medicine Unlocked
issn 2352-9148
publishDate 2018-01-01
description Objective: Since pulse feeling has been well translated using three-dimensional pulse mapping (3DPM) followed by pulse mapping analysis (PMA) instead of pulse wave analysis (PWA), mathematics such as polynomials is further considerably applied for the description of 3DPM patterns. Methods: To elucidate the clinical indices of 3DPM patterns, an L-cube polynomial consisting of a major exponential function is proposed based on the Zernike polynomials. Results: The axis ratio r in the L-cube polynomial, which geometrically represents the ratio of the 3DPM longitudinal and transverse axes, is closely related to the augmentation index AIx showing the degree of artery stiffness during a cold pressor test (CPT). Conclusion: The axis ratio r is a useful index to recognize normal and hypertensive string-like pulse mappings. It is shown that The L-cube polynomial may become a very useful tool to elucidate valuable 3DPM indices from the CM pulse feeling database for clinical applications. Keywords: Chinese medicine (CM), Three-dimensional pulse mapping (3DPM), Pulse recognition, L-cube polynomial
url http://www.sciencedirect.com/science/article/pii/S2352914817302150
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