[A generalization of the Gompertz-function of organic growth (author's transl)].
The traditional Gompertz function of organic growth with a fixed ordinate of its turning point and 3 basic parameters is generalized by introducing an exponent m into the increase function as dW/dt = k Wm e-rt. By this addition integration to the growth function implies one more parameter as W0 (initial amount of a growth unit) or E (final value of W) respectively. The resulting growth function allows variability for the turning point and more flexibility for the function proper. Examples are given for comparing the generalized from with other growth functions.
D006128:Growth; D006801:Humans; D008433:Mathematics
Eine Verallgemeinerung der Gompertz-Funktion des organischen Wachstums.