The theory of differential growth analysis

The theory of differential growth analysis
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差异增长分析理论

DOI:
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发表时间:
1950
期刊:
Proceedings of the Royal Society of London. Series B - Biological Sciences
影响因子:
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通讯作者:
D. Sholl
D. Sholl
中科院分区:
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文献类型:
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作者:
D. Sholl

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生长将被定义为生物体的属性,通过个体大小的变化来体现,我们将首先考虑生长公式和曲线。如果 y 代表任意个体在 t 时刻的大小,并且生长过程被认为是连续的,我们可以将绝对增长率定义为 dy/dt,将特定增长率(表示每单位 y 的时间变化而导致 y 的变化)定义为 1/y dy/dt。任何将生物体的大小或生长速率与其他变量联系起来的陈述都称为生长公式;此类陈述通常用数学符号表示。许多增长公式已经发表,它们是通过三种方法之一推导出来的。
Growth will be defined as that attribute of living organisms which is manifested by a change of size of the individual, and we shall first consider growth formulae and curves. If y represents the size of any individual at time t, and if the growth process is regarded as continuous, we may define the absolute growth rate as dy/dt and the specific growth rate (which represents the change in y for change in time per unit amount of y) as 1/y dy/dt. Any statement which relates the size or growth rate of an organism to other variables will be called a growth formula; such statements are usually expressed in mathematical symbolism. Many growth formulae have been published and they have been derived by one of three methods.