On relationships between various distribution functions in balanced unicellular growth

On relationships between various distribution functions in balanced unicellular growth
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单细胞平衡生长中各种分布函数之间的关系

DOI:
10.1007/bf02476699
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发表时间:
1968
影响因子:
3.5
通讯作者:
H. M. Tsuchiya
H. M. Tsuchiya
中科院分区:
数学4区
文献类型:
--
作者:
D. Ramkrishna;A. Fredrickson;H. M. Tsuchiya

文献摘要

被引文献

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提出了微生物批量培养中平衡指数生长的各种大小分布之间的关系。从推导出的微生物生长的偏微分积分方程(Eakmanet al., 1966; Fredricksonet al., 1967)出发,得到了特定大小和大小范围的微生物生长速度的培养表达式。这些表达式最早是由Collins和Richmond(1962)用一种完全不同的方法得到的。还推导出一些方程式,这些方程式将微生物培养物生长的基本概率函数与可以通过实验估计的其他大小分布联系起来。
The relationships between various size distributions in balanced exponential growth of a batch culture of microorganisms are presented. Starting from the partial differential integral equations (Eakmanet al., 1966; Fredricksonet al., 1967) derived for the growth of a microbial culture expressions are obtained for the growth rate of organisms of specific size and size range. These expressions were first obtained by Collins and Richmond (1962) by an entirely different method. Also derived are equations which link probability functions, which are basic to the growth of a microbial culture, with other size distributions that can be estimated experimentally.