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Bertrand's Law and Weinberg's Principle and Their Extension
Authors:Cao Yuqing and Hu Kuanrong
Abstract:Bertrand's law that the plant can' t live in lack of some indispensable element, appropriate amount of the element will make the plant thrive but excessive amount of it will make the plant poisoning and even die was obtained through the study on the biologic adaptability in laboratory for the indispensable element manganese by G. Bertrand. E. D. Weinberg developed Bertrand's law as that certain amount of manganese was appropriate for the growth of some bacteria but not for the form of bacteriophage. The double threshold contents of elements indispensable for the organisms and their physiological effects can be extended to different hydrogeochemical zones of hydrogeological unit. Some elements are lack in the hydrogeochemical zone, in which the elements leaching and transfer are very strong the biological physiological effect is negative to the elements content. However, in the elements enrichment area caused by leaching and concentrating by evaporation or environmental pollution, the biological physiological effects are positive to the element content. The elements content in other areas which are in between two above types is appropriate for the organisms. From the hydrogeochemical study in Liliu, Shanxi province we obtained that the rate of KBD, IDD and dental caries are resulted from deficiency of elements Se, I and F in water (soil), respectively, the rate of diseases above is inversely related with the element content, while in the zone with excessive fluorine caused by enrichment and leaching, the rate of endemic fluorosis is positive to the fluorine content.
Keywords:Optimum nutrition law  Hydrogeochemical zone  Biological physiological negative effect  Elements with double threshold
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