A Simple Time Weight Relation Observed in Well Nourished Rats

Zucker, Lois M.; Zucker, T. F.

doi:10.1085/jgp.25.3.445

Cited by 33 publications

(4 citation statements)

References 6 publications

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“…However, the purpose of the adjusted percentage recommendation was that it apply broadly. In fact, this was alluded to earlier (Weinstock, 1972, p. 3IS) when reference was made to the work of Zucker and Zucker (1942). Inspection of their Figure 1 shows that the function relating weight gain in rats from birth to about 70 weeks of age is a negatively accelerated increasing one, with the greatest acceleration occurring from about 0-16 weeks.…”

mentioning

confidence: 72%

Rejoinder to "A reply to Weinstock."

Weinstock

1973

Psychological Bulletin

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confidence: 72%

Rejoinder to "A reply to Weinstock."

Weinstock

1973

Psychological Bulletin

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“…Normal growth is defined as growth limited by heritable (Kempster, 1937) and nonheritable influences. Diet is one of the most important of the nonheritable influences as shown by Zucker et al (1941aZucker et al ( , 1941bZucker et al ( , 1942 and others (Dunn el al., 1948;Mayer 1948). Progressively newer understanding of nutrition, which is fundamental to the general physiology of growth, suggests progressive and timely re-evaluation of previous growth data.…”

Section: Inseminating the Breeding Birdsmentioning

confidence: 93%

“…There are innumerable equations, however, used in studying the growth of rats (Zucker et al, 1941a(Zucker et al, , 1941b(Zucker et al, , 1942Gray and Addis, 1948;Dunn, et al, 1947Dunn, et al, , 1948Mayer, 1948). These have not been used to their best advantage.…”

Section: Review Of Literaturementioning

confidence: 99%

Rate of Early Growth in Domestic Fowl

Brant

1951

Poultry Science

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“…Muschel Siliqua patula yon der Westkiiste Nord-Amerikas fiir einen exakten VergMch mathematisch zu beschreiben, stieflen Weymouth et al (1930Weymouth et al ( , 1931 In der Zwischenzeit hatten Zucker & Zucker (1941) eine neue Funktion vorgeschlagen, die ebenfalls einen Wendepunkt enth~ilt. Ich habe sie in etwas ver~inderter Form mit gutem Erfolg auf eine Reihe yon Beispielen anwenden k/Snnen (Kriiger, 1962(Kriiger, , 1973.…”

Section: Introductionunclassified

On the mathematics of animal growth. III. Testing the Gompertz function as growth formula usingSiliqua patula andThunnus thynnus (Pisces)

Krüger

1978

Helgolander Wiss. Meeresunters

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On the mathematics of animal growth. IIL Testing the Gompertz function as growth formula using Siliqua patula and Thunnus thynnus (Pisces). The parameters of the Gompertz function, the Bertalanffy function, and the reciprocal function (Kr~iger, 1962) are calculated for comparison using growth data obtained by Weymouth et al. (1930Weymouth et al. ( , 1931 for the razor clam from ten localities and the tuna fish. An new method is employed for the determination of growth parameters under the conditions of linear relations between the power of e and the linear values of size in the Bertalanffy function and its natural logarithm in the Gompertz function. Both equations may therefore be solved by the well known method of linear regressions analysis. The method delivering optimal parameters for the Bertalanffy and the Gompertz function is described in a methodological chapter. Compared to the other functions the Gompertz delivers the best results for the growth curves of the arctic mussels including an inflection point. For curves without inflection points less good results are obtained. Deviations in the numeration of age are compensated in the Gompertz function by the parameter B. This parameter represents the difference between the natural logarithms of the upper limit size and the size at the age zero (normally corresponding to the size at birth). The parameter C includes the description of the curvature of the growth curve. A disadvantage of the Gompertz function is, that the upper limit of the equation is very near to the highest numbers evaluated and may be exceeded by real observations. A disadvantage of the reciprocal function is that the calculated inflection point does not correspond to the real inflection point. The results obtained for the relationship between length and weight of tuna fish show that the Gompertz function is exactly compatible with the a11ometric formula. It delivers for the summing up of the allometric formula the same solution as that reached by the reciprocal function. The three formulas employed are of the same structure, differing only in the use of linear numbers, logarithms or powers of e. They deliver good approximations of growth data, but cannot be regarded as exact solutions for the mathematica description of growth curves. EINLEITUNG

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A Simple Time Weight Relation Observed in Well Nourished Rats

Abstract: The equation See PDF for Equation fits the growth of well nourished rats from weaning on. The general properties of the equation, and particularly its relation with the law of relative growth, are discussed.

Cited by 33 publications

References 6 publications

Rejoinder to "A reply to Weinstock."

Rejoinder to "A reply to Weinstock."

Rate of Early Growth in Domestic Fowl

On the mathematics of animal growth. III. Testing the Gompertz function as growth formula usingSiliqua patula andThunnus thynnus (Pisces)

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