[Allometry and the increase function dW/dt = kWm/(t + to)p (author's transl)].
After investigations of the author into allometry relations of general concern and the interaction of allometry and the growth functions of Bertalanffy, Gompertz and Janoschek in their original and modified forms the ansatz dW/dt - kWm/(t + to)p is taken into consideration. The solutions of the integrals differ for m = 1 and m not equal to 1 with m greater than 0 and p greater than m but are both mathematically rather well suited for applying the principle of allometry. The main characteristics of the growth functions are recalled, supplemented and contrasted with the equivalent properties of the allometric functions. Graphs give a limited idea of the variability of the functions of allometry including 4 or 5 parameters for W (value of growth) and w (allometric expression) respectively.
D000818:Animals; D000886:Anthropometry / Q000379:methods*; D006128:Growth; D006801:Humans; D008433:Mathematics
Allometrie und der Zuwachsansatz dW/dt = kWm/(t + to)p.