魚の再生ウロコにおけるコラーゲン分子の積層過程に対する偏微分方程式モデル (第11回生物数学の理論とその応用)

中口, 悦史

数理解析研究所講究録, 2015, 1937, 120-127

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Identifier to cite or link to this item: https://hdl.handle.net/11094/100647

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Title
魚の再生ウロコにおけるコラーゲン分子の積層過程に対する偏微分方程式モデル (第11回生物数学の理論とその応用)
A PDE model for layer process of collagen molecules in regenerating fish scales (Theory of Biomathematics and Its Applications XI)
Creator
NRID
1000070304011 1000070304011
ORCID
0000-0003-0004-4452 0000-0003-0004-4452
researchmap permalink
e_nakaguti e_nakaguti
CreatorName
中口, 悦史 ; ナカグチ, エツシ ; Nakaguchi, Etsushi
Abstract
The scale of bony fish, such as gold sh or carp, has layer structure of two layers; the upper one is the calci ed layer, and the lower the fibrous layer. The fibrous layer is formed by a large number of strati ed thin sheets of collagen bers with no cell inside. The collagen fibers are produced as molecules by the osteoblasts (bone formative cells) located at the floor of the fibrous layer, associate after secretion, and then align to form thin sheets; but the mechanisms are unknown. We present a model of autonomous association and alignment system of fiber molecules. The distribution of molecules is approximated by continuously distributed dipoles, and is assumed to form some potential fields for self-attraction and orientation. We then describe the model by a system of parabolic and elliptic partial differential equations. Some numerical examples are also demonstrated.
Publisher
京都大学数理解析研究所
Source Title
数理解析研究所講究録
Volume (Issue)
1937
Page
120-127
Date of Issued
2015-04
Language
Japanese
Handle URL
https://hdl.handle.net/11094/100647
PISSN
18802818
Relation.isIdenticalTo
URI
http://hdl.handle.net/2433/223721
Access Rights
metadata only access
oaire:version
Version of Record
Category
紀要論文 Departmental Bulletin Paper