From the physiology of protein metabolism, the authors
* have derived a relation between the amount of absorbed food protein x and that of increase of body rotein
P:
P=
e-a-bx(
x-
x0), (1)
in which
x0 is the amount of maintenance protein ; a and b are constants.
Within the limit of the, feeding amount which is eaten up by fish in a single day, the absorbed food protein
x will be
x=
d × ξ, (2)
where ξ is the amount of food protein given, and
d the digestibility which under these con-ditions may be considered practically constant in a wide range. Then from (1) and (2) we have,
P=
e-a-bdξ(
dξ-
dξ
0)
=
e-a-βξ(ξ-ξ
0), (3)
in which α and β are constants and ξ
0 is the amount of food protein to be given as the maintenance protein.
Comparing (1) with (3), it is seen that the accumulation of body protein can be represented as well in terms of the amount of administered protein as in terms of the amount of absorbed food protein, by the same equation (1), in which constants only are different.
n the previous paper
* we have ascertained the formula with goldfish kept on diets of equal calorific value but of different nutritive ratio ; it is shown in this paper that the formula holds also good with fish kept on diets of the same composition but with different feeding amount.
Increase of body nitrogen
P in carp in the second year kept on different amounts of diet, ranging 1 to 8 per cent of the body weight a day, which consists of 2 parts of dried silk-worm pupa and 1 part of wheat meal and has nutritive ratio 1•58, at 21°C for 30 days, is expressed as follows :
P=
e-1.225-0 060x(
X-0•32),
where
x denotes grams of food nitrogen given per 100g of initial body weight in the course of 30 days. Increase of body protein will take the maximum value when
x ?? 17•0, which corresponds to the feeding amount of 8 per cent of body weight a day.
When increase of body protein in carp of 15g in weight was calculated from the equationdetermined with carp of 30g in weight under the same conditions, it was found by 7% smaller than the observed value. This may show that the power to retain food protein in body di-minishes with growth of fish.
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