A Supplement to Mathematical Structure Common to Animal Growth Analysis and Space Expansion Analysis - 九大コレクション

＜紀要論文＞
A Supplement to Mathematical Structure Common to Animal Growth Analysis and Space Expansion Analysis

作成者	著者識別子 K001569 作成者名 Shimojo, Masataka 下條, 雅敬シモジョウ, マサタカ所属機関所属機関名 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
本文言語	英語
出版者	Faculty of Agriculture, Kyushu University
出版者	九州大学大学院農学研究院
発行日	2016-09-01
収録物名	九州大学大学院農学研究院紀要
巻	61
号	2
開始ページ	287
終了ページ	291
出版タイプ	Version of Record
アクセス権	open access
Crossref DOI	https://doi.org/10.5109/1685884

ファイル	ファイルタイプ	サイズ	閲覧回数	説明
p287	pdf	507 KB	451

PISSN	0023-6152
NCID	AA00697606
レコードID	1685884
査読有無	査読無
主題	animal growth
	common structure
	duality
	redshift
	space expansion
ISSN	0023-6152
NCID	AA00697606
注記	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.
登録日	2016.10.07
更新日	2022.11.11