分形理论在农业与食品系统中的应用综述(英文)

    Application of Fractal Theory to Agricultural and Food Systems:A Review

    • 摘要: 分形是大自然的几何学,是非线性分析的有力工具,最近的十多年来对其研究和应用方兴未艾,几乎覆盖了所有的科学领域。该文简单介绍分形的基本定义和性质,并主要从3个方面介绍了它在农业、生物系统和食品工程领域的研究进展:首先是土壤结构、土壤颗粒的粗糙性和聚集、水土关系如渗流系数的分形描述、土壤的工程特性和土壤中发生的物理化学生物过程的分形分析等,是许多作者关注的领域;第二是在食品工程领域,食品颗粒的表面粗糙度、速溶咖啡颗粒的分形特征和可溶性的关系、奶酪等食品结构的分性特征、以及分形理论在食品加工质量控制中的应用等;第三是在植物和动物系统中,根系发育的分形描述和计算机模拟、不同植物的分形维数及识别,某些植物生长发育过程的计算机摸拟,动物生理、行为的分形特征以及在生态系统的环境监测中分形理论的一些开创性的研究成果。该文在综述了以上几个方面的研究成果后,对分形理论在这些领域的应用和发展作了讨论和展望。

       

      Abstract: As geometry of nature and a powerful mathematics tool in nonlinear analysis, fractal theory has been applied in a very wide field of science and technology and will attract more and more attention in the future. In this paper, the authors presented the basic definitions of fractal dimensions and reviewed the applications of the fractal theory to agricultural and food systems. Firstly, the examples were discussed to illustrate the application of fractal theory to characterize soils, soil water relationship, and some physics, chemistry and biology phenomena in soil media. Secondly, the fractal analysis of food materials was introduced, including the fractal dimensions, fractal surface structure, fractal aggregation and microstructure of foods, as well as the food processing and quality control. Thirdly, the fractal analysis and modeling for plant and animal systems, including the root systems and the animal activities were summarized. Finally, discussion and prospecting on the fractal analysis were given.

       

    /

    返回文章
    返回