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Journal of Chinese Integrative Medicine ›› 2009, Vol. 7 ›› Issue (5): 478-481.doi: 10.3736/jcim20090515

Special Issue: Acupuncture & Moxibustion

• Medical Statistice • Previous Articles     Next Articles

Fuzzy cluster analysis of therapeutic effects of electro-acupuncture at different parameters

Le Kuaia,Ru-feng Jinb,Ming Gaoa,Hua-yuan Yanga   

  1. a Department of Traditional Chinese Engineering, College of Acupuncture-Moxibustion and Tuina, Shanghai University of Traditional Chinese Medicine, Shanghai 201203, China
    b Department of Preventive Medicine,College of Basic Medical Sciences,Shanghai University of Traditional Chinese Medicine, Shanghai 201203, China
  • Received:2008-12-29 Accepted:2009-02-11 Online:2009-05-20 Published:2018-10-15


To probe into the application of fuzzy cluster in analysis of therapeutic effects of electroacupuncture at different parameters on adjuvant-induced arthritis (AA) in rats.

One hundred Wistar rats were randomly divided into ten groups: normal control group, untreated group and eight electro-acupuncture groups at different parameters. There were ten rats in each group. AA rats were treated by electro-acupuncture at different frequencies (2 Hz or 100 Hz), waveforms (successive wave or intermittent wave) and current intensities (0.1 mA or 0.2 mA). Firstly, the anti-inflammatory and analgesic effects of electro-acupuncture at different parameters were compared with orthogonal experiment, and then with the application of fuzzy mathematics, the data of joint swelling, pain threshold and the contents of (3-endorphin ((3-EP) and interleukin-ip (IL-1(3) after the treatment in all groups were standardized by the method of data range normalization. Programming and solution were done by MATLAB. The methods of fuzzy similar matrix and the transitive closure were used in similarity evaluation of therapeutic effects of electroacupuncture at different parameters.

Based on index determination and variance analysis, both the normal control group and untreated group were clustered to one category as A equaled to 0. 72. Electro-acupuncture at 100 Hz, successive wave, 0. 2 mA, electro-acupuncture at 100 Hz, intermittent wave, 0. 1 mA and electro-acupuncture at 100 Hz, intermittent wave, 0. 2 mA were clustered to one category and had similar good anti-inflammatory and analgesic effects. The therapeutic effects of the remaining electro-acupuncture types were similar.

Fuzzy cluster analysis provides a better method for evaluating the overall therapeutic effects of electro-acupuncture with multiple factors.

Key words: Fuzzy mathematics, Cluster analysis, Electroacupuncture, Treatment outcome, Rats


代码 组别 关节肿胀度(mL) 痛阈(s) β-EP (ng/g) IL-1β (ng/g)
S1 空白组 1.25±0.04 7.57±0.85 0.82±0.48 4.03±2.49
S2 模型组 1.69±0.06** 4.08±0.80** 4.10±2.62* 9.88±3.43**
S3 A1B1C1电针组 1.56±0.08**△△ 6.15±0.92**△△ 6.04±3.36** 6.07±3.58
S4 A1B1C2电针组 1.52±0.06**△△ 5.46±1.20**△△ 5.37±2.65** 6.72±4.06
S5 A1B2C1电针组 1.51±0.08**△△ 5.64±0.89**△△ 7.40±3.83** 7.80±3.66*
S6 A1B2C2电针组 1.48±0.12**△△ 4.96±0.49** 6.03±2.31** 7.26±2.92*
S7 A2B1C1电针组 1.61±0.10** 6.33±0.64**△△ 7.87±5.21** 6.32±4.28
S8 A2B1C2电针组 1.45±0.06**△△ 6.00±0.59**△△ 6.95±3.99** 3.81±2.53△△
S9 A2B2C1电针组 1.56±0.18**△△ 6.67±0.63*△△ 8.81±4.99**△△ 4.79±3.41△△
S10 A2B2C2电针组 1.43±0.06**△△ 6.21±0.83**△△ 8.31±3.47** 5.33±3.61△△


代码 关节肿胀度 痛阈 β-EP IL-1β
S1 0.00 1.00 0.00 0.04
S2 1.00 0.00 0.41 1.00
S3 0.70 0.59 0.65 0.37
S4 0.61 0.40 0.57 0.48
S5 0.59 0.45 0.82 0.66
S6 0.52 0.25 0.65 0.57
S7 0.82 0.64 0.88 0.41
S8 0.45 0.55 0.77 0.00
S9 0.70 0.74 1.00 0.16
S10 0.41 0.61 0.94 0.25
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