A Supplement to Mathematical Structure Common to Animal Growth Analysis and Space Expansion Analysis - Collections

＜departmental bulletin paper＞
A Supplement to Mathematical Structure Common to Animal Growth Analysis and Space Expansion Analysis

Creator	Author PID K001569 Creator Name Shimojo, Masataka 下條, 雅敬シモジョウ, マサタカ Affiliation Affiliation Name Laboratory of Regulation in Metabolism and Behavior, Division of Animal and Marine Bioresource Sciences, Department of Bioresource Sciences, Faculty of Agriculture, Kyushu University 九州大学大学院農学研究院資源生物科学部門動物・海洋生物科学講座代謝・行動制御学分野
Language	English
Publisher	Faculty of Agriculture, Kyushu University
Publisher	九州大学大学院農学研究院
Date	2016-09-01
Source Title	Journal of the Faculty of Agriculture, Kyushu University
Vol	61
Issue	2
First Page	287
Last Page	291
Publication Type	Version of Record
Access Rights	open access
Crossref DOI	https://doi.org/10.5109/1685884

File	FileType	Size	Views	Description
p287	pdf	507 KB	460

PISSN	0023-6152
NCID	AA00697606
Record ID	1685884
Peer-Reviewed	Unrefereed
Subject Terms	animal growth
	common structure
	duality
	redshift
	space expansion
ISSN	0023-6152
NCID	AA00697606
Notes	This study was conducted to add some explanations to the previous study on the mathematical structure common to animal growth analysis and space expansion analysis. The results obtained were as follows. (A) In the construction of differential equations, the way of combining the Bertalanffy equation with its first and second derivatives in animal growth analysis was the same as the way of combining the Friedmann equations with its first and second derivatives in space expansion analysis. This commonness was related to the feature of differential calculation of exponential function. The animal growth analysis was based on the balance between anabolism and catabolism, and the space expansion analysis was based on the balance between attractive force and repulsive force. Those two phenomena might look like each other. (B) The space expansion was discussed in terms of two different redshifts. There was a duality in the interpretation of space expansion history using cosmic scale factor (cosmological redshift) and toy space model (relativistic Doppler redshift). This might be related to the hypothesis that the flat FLRW space with gravity might look like the Minkowski space without gravity.
Created Date	2016.10.07
Modified Date	2022.11.11