A Descriptive Model of the Growth of Cucumber Fruit under Salinity at Low Oxygen Supply Levels in the Nutrient Solution

A Descriptive Model of the Growth of Cucumber Fruit under Salinity at Low Oxygen Supply Levels in the Nutrient Solution
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低盐营养液供氧条件下黄瓜果实生长的描述模型

DOI:
10.2525/ecb1963.42.267
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发表时间:
2004
期刊:
Environment control in biology
影响因子:
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通讯作者:
A. Tazuke
A. Tazuke
中科院分区:
--
文献类型:
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作者:
A. Tazuke

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为了进一步了解“sakibosori”果实病害的发生与果实生长活性之间的关系,建立了在低供氧水平营养液中盐度升高条件下黄瓜果实生长的描述模型。模型的假设如下:(i)果实体积增长率的上限(GRmax)由下式确定:GRmax= a / (1+exp (B (x-C+De))) +E,其中a、B、C、D、E为常数,x为NaCl浓度(mM), E为均值为0,方差为1的标准高斯噪声;(ii)果实在生长速率达到GRmax之前呈指数增长,之后呈线性增长。该模型较好地再现了在较早的试验中测得的春季栽培营养液低供氧水平下果实相对生长率对盐度响应的全或无概率模式。还表明,上述方程的参数可能存在季节差异。
In order to provide further information on the relationship between the occurrence of“sakibosori” fruit disorder and the fruit growth activity, a descriptive model of the growth of cucumber fruit under increasing levels of salinity at low oxygen supply levels in the nutrient solution was developed. Assumptions of the model were as follows : (i) the upper limit of the growth rate in volume of a fruit (GRmax) is determined by the following equation : GRmax=A/ (1+exp (B (x-C+De) ) ) +E, where A, B, C, D and E are constants, x is NaCl concentration (mM) and e is a standard Gaussian noise with mean 0 and variance 1; (ii) a fruit grows exponentially until its growth rate reaches GRmax, thereafter linearly. The model reproduced fairly well the all-or-none probabilistic patterns of the response of the relative growth rate of fruits to salinity at low oxygen supply levels in the nutrient solution in spring culture, which had been measured in earlier experiments. It was also suggested that there can be a seasonal difference in the parameters of above equation.