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生物形態生成的數學模擬讀書報告 = A study report on ...

國立高雄大學應用數學系碩士班

生物形態生成的數學模擬讀書報告 = A study report on the mathematical modelling of pattern formation

Record Type:	Language materials, printed : monographic
Paralel Title:	A study report on the mathematical modelling of pattern formation
Author:	翁芷涵,
Secondary Intellectual Responsibility:	國立高雄大學
Place of Publication:	[高雄市]
Published:	撰者;
Year of Publication:	2013[民102]
Description:	33葉部分彩圖 : 30公分;
Subject:	Turing 機制
Subject:	Turing mechanism
Online resource:	https://hdl.handle.net/11296/vqd7py
Notes:	108年3月25日公開
Notes:	參考書目：葉32-33
Summary:	本論文藉由 A.M. Turing 提出的反應擴散機制, 並以數學方式模擬生物體上的形態樣貌生成. 首先, 介紹模型的建構背景, 並利用無因次分析配合零通量邊界條件推導形態生成的條件. 接著將其結果用以解釋生物間的形態差異與模型中作用參數的關係. 最後, 簡單介紹利用已知的實驗結果所建立的其他形態生成模型, 譬如: 討論鱷魚的牙齒生成排列和蝴蝶的翅膀生成圖形, 以此可使我們更加了解反應擴散機制的運用以及其重要性. This thesis discusses mathematical models that are used to describe biological pattern generation. The focus is on the reaction-diffusion mechanism proposed by A.M. Turing. First, an introduction of the background of model is given, followed by non-dimensionalization with linear stability analysis being used to derive the necessary conditions for the mechanism. This model is then used to explain existing animal pattern, highlighting the role of the model parameters within different species. Finally, we introduce other mechanisms that are also of generating patterns.

生物形態生成的數學模擬讀書報告 = A study report on the mathematical modelling of pattern formation
翁, 芷涵

生物形態生成的數學模擬讀書報告 = A study report on the mathematical modelling of pattern formation / 翁芷涵撰 - [高雄市] : 撰者, 2013[民102]. - 33葉 ; 部分彩圖 ; 30公分.
108年3月25日公開參考書目：葉32-33.
Turing 機制Turing mechanism

生物形態生成的數學模擬讀書報告 = A study report on the mathematical modelling of pattern formation
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330 $a 本論文藉由 A.M. Turing 提出的反應擴散機制, 並以數學方式模擬生物體上的形態樣貌生成. 首先, 介紹模型的建構背景, 並利用無因次分析配合零通量邊界條件推導形態生成的條件. 接著將其結果用以解釋生物間的形態差異與模型中作用參數的關係. 最後, 簡單介紹利用已知的實驗結果所建立的其他形態生成模型, 譬如: 討論鱷魚的牙齒生成排列和蝴蝶的翅膀生成圖形, 以此可使我們更加了解反應擴散機制的運用以及其重要性. This thesis discusses mathematical models that are used to describe biological pattern generation. The focus is on the reaction-diffusion mechanism proposed by A.M. Turing. First, an introduction of the background of model is given, followed by non-dimensionalization with linear stability analysis being used to derive the necessary conditions for the mechanism. This model is then used to explain existing animal pattern, highlighting the role of the model parameters within different species. Finally, we introduce other mechanisms that are also of generating patterns.
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