By Donald Peattie, Paul Landacre, Robert Finch
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Acta Biotheor 13:131-144 Snell GD (1929) An inherent defect in the theory that growth rate is controlled by an autocatalytic process. Proc Nat! Acad Sci USA 15:274--281 van der Vaart HR (1968) The autocatalytic growth model: critical analysis of the conceptional framework. Acta Biotheor 13:133-142 Weierstrass K (1872) Mathematische Werke. Akademie, Berlin Weiss P, Kavanau JL (1957) Model of growth and growth control. J Gen PhysioI41:41-47 Chapter 2 Ad Libitum Feeding and Growth Functions Chapter 1 discussed all growth functions so far developed for animals as systems with output only, empirical in nature despite the appeals to various theories of growth.
7) coupled with Eq. c. c. c. c. Here it is seen why the characteristic parameters of a system plus environment should be distinguished from those parameters which can be shown to be initial conditions only. In this respect grave errors can be made using the popular growth functions discussed by Fitzhugh (1976) as nonlinear regression equations. McCarthy and Bakker (1979) used the following form of the Gompertz equation, W = Aexp[ - bexp( - kt)] to study bending the postweaning growth curves of mice.
Bi-ldy/dx+biY+bi+l =0. Here the set offactors (bm ), m = 1, 2 ... ,j+ 1, are functions of the set of characteristic parameters (a), i= 1,2, ... ,n-j (Batschelet 1975). Examples of this process of deriving the DE from a function are given in the following. We need the DE of the W(F) function in Eq. 2). c. The DE ofEq. 2) is therefore first order and taking the first derivative with respect to F gives dW/ dF = (A - Wo) Bexp( - BF), thereby completing the first step. The second step requires using Eq.