根土界面的研究 Ⅰ.钾离子向稻根迁移的数学模型
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MATHEMATICAL MODEL FOR THE MOVEMENT OF POTASSIUM IONS TO RICE ROOTS
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    摘要:

    用数学模型分析土壤中的养分离子向植物根系的移动,最早由Bouldin[1],Olsen[9]和Passioura[10]在六十年代初所提出,近年又陆续发展出若干数学模型来处理土壤一植物系统中的离子迁移过程。如Nye[7,8]的瞬时态模型,Baldwin[2]的稳态模型以及Claassen等[3,4]的模拟模型等。这些模型都是根据连续性方程式的某一形式,并按照实际问题采用直角坐标、柱坐标或球坐标来列出偏微分方程,然后求得满足初始条件与各种边界条件下的解析解或数值解。各种模型的主要区别在于假定体系是有限的还是无限的以及根表面的边界条件的不同。存在于植物根表面的状况是不知道的,所以必须采用简化的估计。

    Abstract:

    There have been several mathematical models for the transportion of nutrient ions in soil towards single root or root system of a single plant. But wheather these models can match the root systems of the rice plants grown in a clump remaines to be verified. In order to test the models, rice plants were grown in a box consisting of two compartments separated by a sheet of nylon sieve to form a plane of rice roots. A comparison was made between the values of relative concentration of potassium ion in soil near the root surface predicted from Nye's model and those measured with a miniature potassium selective electrode. The results obtained showed that the measured values of relative concentration of potassium ion in the soil of rice rhizosphere were approximate to the theoretically calculated values, and their agreement was even better when water flue increased. It is possible to predict ion concentration near root surface using mathematical modelds even under more complex situations. In this experiment it was also observed that there were a deficit zone of potassium and a neutral or weakly alkaline pH environment in micro-areas of rhizosphere of rice plant.

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宣家祥.根土界面的研究 Ⅰ.钾离子向稻根迁移的数学模型[J].土壤学报,1982,19(3):296-304. Xuan Jia-xiang. MATHEMATICAL MODEL FOR THE MOVEMENT OF POTASSIUM IONS TO RICE ROOTS[J]. Acta Pedologica Sinica,1982,19(3):296-304.

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  • 在线发布日期: 2013-02-25
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