魚のビタミンAの消耗と蓄積について

山村 弥六郎

doi:10.2331/suisan.26.496

STUDIES ON THE MECHANISM OF CONSUMPTION AND ACCUMULATION OF VITAMIN A IN FISH

Yarokuro YAMAMURA

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1960 Volume 26 Issue 5 Pages 496-499

DOI https://doi.org/10.2331/suisan.26.496

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Published: May 25, 1960 Received: - Available on J-STAGE: February 29, 2008 Accepted: November 30, 1959 Advance online publication: - Revised: -
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Date of correction: February 29, 2008 Reason for correction: - Correction: ABSTRACT Details: Wrong : 1. A mathematical consideration was made on the mechanism of the consumption and accumulation of vitamin A in fish body of the oil sole (Athresthes evermanni JORDAN & STARKS), which lives in the deep sea in north-eastern Japan.
2. The velocity of accumulation of vitamin A into the liver including the pyloric ceaca are given by
dA/dt=αfW-γ•α-α′/βW (1)
where, W denotes the body-weight of the fish, f, the vitamin A concentration of feeding substances, α, the rate of feeding, α′, the rate of feeding necessary for the minimum vitality, β, a coefficient concerning the increase of body-weight, γ, a coefficient concerning the consumption of vitamin A in the body.
3. Vitamin A contents (A) of the liver and the pyloric ceaca of the fish are of a function of the body-length (L), which is expressed by
A/lⁿ_??k=∫λⁿ/1-λdλ=φ(λ) (2)
where, l_?? signifies the maximum body-length of the species, λ equals l/l_??, k is αf-γ/β(α-α′)/ε (ε: a coefficient concerning the rate of growth).
Right : 1. A mathematical consideration was made on the mechanism of the consumption and accumulation of vitamin A in fish body of the oil sole (Athresthes evermanni JORDAN & STARKS), which lives in the deep sea in north-eastern Japan.
2. The velocity of accumulation of vitamin A into the liver including the pyloric ceaca are given by
dA/dt=αfW-γ•α-α'/βW (1)
where, W denotes the body-weight of the fish, f, the vitamin A concentration of feeding substances, α, the rate of feeding, α', the rate of feeding necessary for the minimum vitality, β, a coefficient concerning the increase of body-weight, γ, a coefficient concerning the consumption of vitamin A in the body.
3. Vitamin A contents (A) of the liver and the pyloric ceaca of the fish are of a function of the body-length (L), which is expressed by
A/lⁿ_??k=∫λⁿ/1-λdλ=φ(λ) (2)
where, l_?? signifies the maximum body-length of the species, λ equals l/l_??, k is αf-γ/β(α-α')/ε (ε: a coefficient concerning the rate of growth).

Date of correction: February 29, 2008 Reason for correction: - Correction: PDF FILE Details: -

Abstract

1. A mathematical consideration was made on the mechanism of the consumption and accumulation of vitamin A in fish body of the oil sole (Athresthes evermanni JORDAN & STARKS), which lives in the deep sea in north-eastern Japan.
2. The velocity of accumulation of vitamin A into the liver including the pyloric ceaca are given by
dA/dt=αfW-γ•α-α'/βW (1)
where, W denotes the body-weight of the fish, f, the vitamin A concentration of feeding substances, α, the rate of feeding, α', the rate of feeding necessary for the minimum vitality, β, a coefficient concerning the increase of body-weight, γ, a coefficient concerning the consumption of vitamin A in the body.
3. Vitamin A contents (A) of the liver and the pyloric ceaca of the fish are of a function of the body-length (L), which is expressed by
A/lⁿ_??k=∫λⁿ/1-λdλ=φ(λ) (2)
where, l_?? signifies the maximum body-length of the species, λ equals l/l_??, k is αf-γ/β(α-α')/ε (ε: a coefficient concerning the rate of growth).

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