摘要
分形理论是描述自然界中不规则、复杂事物,并揭示其复杂现象背后的规律、局部和整体之间本质内在关联性的新兴科学理论。本文在以往国内外文献报道的基础上,系统分析分形理论在中药资源、中药种植、中药鉴定、中药制剂等方面的研究成果,并对该理论在中药领域中的应用加以综述。
As an emerging scientific theory, fractal theory is used for describing the irregular and complex things, and revealing the regularity about their complex phenomena, and intrinsic correlation between part and whole. On the basis of previous domestic and foreign literature reports, this paper systematically analyze the research results of fractal theory in Chinese medicine resources, Chinese medicine planting, Chinese medicine identification, Chinese medicine preparations and so on, and summarize the application of fractal theory in the field of Chinese medicine.
引文
[1]MANDELBROT B.How long is the coast of Britain?Statistical self-similarity and fractional dimension[J].Science,1967,156(3775):636-638.
[2]张济忠.分形[M].北京:清华大学出版社,1995:4.
[3]ZHANG J R,WANG J M,ZHU Y C,et al.Application of fractal theory on pedology:A review[J].Chin J Soil Sci(土壤通报),2017,48(1):221-228.
[4]HUNT A G,GHANBARIAN B,SAVILLE K C.Unsaturated hydraulic conductivity modeling for porous media with two fractal regimes[J].Geoderma,2013(207/208):268-278.
[5]ZHOU Y J,CHEN L,LIU T H.Application of fractal theory to sediment research[J].J Sediment Res(泥沙研究),2012(2):73-80.
[6]JANIK G,OLSZEWSKA B,P?YWACZYK L,et al.Applicability of geostatistical tools and fractal theory for the estimation of the effect of a river on water relations in adjacent area[J].River Res Applic,2016,32(6):1342-1354.
[7]WANG L L.Application of fractal theory in the physical form characterization of coal rock[J].China Coal(中国煤炭),2017,43(6):102-106.
[8]DAVY P,LE GOC R,DARCEL C,et al.A likely universal model of fracture scaling and its consequence for crustal hydromechanics[J].J Geophys Res,2010,115(B10):B10411.
[9]ZHENG S D,ZHENG J H,SHI M H,et al.Classification of cultivated Chinese medicinal plants based on fractal theory and gray level co-occurrence matrix textures[J].J Remote Sens(遥感学报),2014,18(4):868-886.
[10]ZHANG W H,ZU Y G,MA K M.Analysis on the fractal characteristics of distribution patterns of Adenophora lobophylla and A.potaninii[J].Acta Phytoecologica Sinica(植物生态学报),1999,23(1):31-39.
[11]MA J H,RUAN X L.Influences of soil bulk density changes on morphological features and yields of the Chinese huilou yam in Henan province[J].Chin J Soil Sci(土壤通报),2014,45(2):334-339.
[12]HE B,YAN Z Y,SHEN Y X,et al.Relationship between fractal dimension of soil water stable aggregates and fundamental characteristics in different growing regions of salvia miltiorrhiza[J].J Anhui Agric Sci(安徽农业科学),2012,40(10):5901-5905.
[13]梁生旺.中药制剂分析习题集[M].北京:中国中医药出版社,1997.
[14]中华人民共和国卫生部药典委员会.中华人民共和国药典中药粉末显微鉴别彩色图集[M].广州:广东科技出版社,1999.
[15]WANG Y J,ZHANG G J,LI Y B.Texture analysis of Chinese traditional medicinal materials micro graph based on the fractal parameter[J].Comput Eng Appl(计算机工程与应用),2003,39(29):231-232.
[16]WANG Y J,XU X H.Pattern recognition method on micro-images of powdered Chinese medical herbs[J].J Agric Mech Res(农机化研究),2006,28(12):180-183.
[17]DU J W,CHENG Q S,LIU N Q,et al.A combination of fractal and wavelet for featuer extraction of the chromatographic profile of medicinal herbs[J].Signal Process(信号处理),2006,22(5):719-723.
[18]CHEN M J,WU Y J,CHENG Y Y.A method for characterizing chromatographic fingerprint by integrating wavelet transform with fractal dimension[J].Chin J Anal Chem(分析化学),2003,31(7):774-778.
[19]LIU F,HU P,KüSTER A,et al.Quality control of G.pentaphyllum by wavelet transform and fractal expression[J].Chin Tradit Pat Med(中成药),2008,30(10):1494-1498.
[20]ZHANG P,WANG X K,LI H T,et al.Recognition of terahertz spectrum based on the fractal theory[J].Chin JQuantum Electron(量子电子学报),2007,24(6):672-677.
[21]NIE L H,ZHANG W.Study on drying process of balsam pear slice and its rehydration[J].Food Ind(食品工业),2015,36(2):185-187.
[22]YANG J H,ZHANG H,DI Q Q,et al.Correlation of volume fractal dimension inside matrix of plant materials and rehydration behavior[J].Drying Technology,2012,30(15):1688-1697.
[23]ZHANG Y N,LV Y C,LUO G S.Porous structure of root-like Chinese herbs and fractal characteristic[J].J Chem Eng Chin Univ(高校化学工程学报),2009,23(2):199-204.
[24]ZHANG J W,WANG Y L,FENG Y.Influence of chitosan hydrochloride on flocculation and microscopic properties of herba geranii water-extract[J].J Chem Eng Chin Univ(高校化学工程学报),2015,29(5):1082-1088.
[25]ZHANG J W,WANG X W,FENG Y,et al.Flocculation effect and flocs’fractal characteristics of peony’s water-extraction with chitosan[J].J Zhejiang Univ Sci Ed(浙江大学学报:理学版),2017,44(5):561-567.
[26]SUN J.Study on impurity removal effect and mechanism in extract of traditional Chinese medicine by flocculation[D].Tianjing:Tianjing University,2013.
[27]杨明.药剂学[M].北京:中国医药科技出版社,2014:104.
[28]HANSULD E M,BRIENS L.A review of monitoring methods for pharmaceutical wet granulation[J].Int J Pharm,2014,472(1/2):192-201.
[29]LU X L,ZHENG Q,YIN X Z,et al.Quantitative structure characteristics and fractal dimension of Chinese medicine granules measured by synchrotron radiation X-ray computed micro tomography[J].Acta Pharm Sin(药学学报),2015,50(6):767-774.
[30]JIAO X M,LIU W L,ZHANG Z Y,et al.Research on fractal characteristics of floc particles in slime water flocculation[J].Coal Eng(煤炭工程),2016,48(3):126-129.
[31]FAN Y Z,YANG G L,LU J,et al.Numerical simulation of flocculation-settling of cohesive fine sediment with ionization[J].J Huazhong Univ Sci Technol Nat Sci Ed(华中科技大学学报:自然科学版),2015,43(2):103-108.
[32]XU R Q,XU L Y,DUAN J C,et al.Microstructure morphology and optimization of influencing factors in quantitative analysis of soft clay[J].J Cent South Univ Sci Technol(中南大学学报:自然科学版),2016,47(8):2723-2729.