Sager G
Anat Anz. 1980;148(1):68-82.
After a summary of the author's work on the allometry principle with regard to the original and generalized Bertalanffy and Gompertz functions of organic growth attention is drawn to the analogous topic concerning the Janoschek growth function. At first the Janoschek function is resettled a little as to fit also for starting growth with values unequal to zero. After giving the main characteristics illustrated by graphs the allometric principle is applied to the growth function enforcing a repetition of all derivations due to the changed structure against the growth function proper. Secondly, the increase ansatz is changed with integration now leading to curves of finite growth time. Examples for allometry are added taking up values of recent investigations thus allowing for comparison. Finally an approximation method for the calculation of the inflexion points rounds up the paper.
在总结了作者关于有机生长的原始和广义贝塔朗菲函数以及冈珀茨函数的异速生长原理的工作之后,本文将关注点转向了与雅诺谢克生长函数相关的类似主题。首先,对雅诺谢克函数进行了些许调整,使其也适用于初始生长值不为零的情况。在给出通过图表说明的主要特征之后,将异速生长原理应用于生长函数,由于结构变化,需要对与原始生长函数相关的所有推导进行重复。其次,通过积分改变增长假设,现在得到了有限生长时间的曲线。增加了异速生长的示例,并采用了近期研究的值,以便进行比较。最后,一种用于计算拐点的近似方法完善了本文。