一階微分方程與生物網格系統

Huai-hua Lu; 呂懷華

請用此 Handle URI 來引用此文件： http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/54619

完整後設資料紀錄

DC 欄位	值	語言
dc.contributor.advisor	陳俊全
dc.contributor.author	Huai-hua Lu	en
dc.contributor.author	呂懷華	zh_TW
dc.date.accessioned	2021-06-16T03:08:12Z	-
dc.date.available	2015-08-25
dc.date.copyright	2015-08-25
dc.date.issued	2015
dc.date.submitted	2015-06-22
dc.identifier.citation	[1] Atsushi Mochizuki, Bernold Fiedler, Gen Kurosawa and Daisuke Saito. Dynamics and control at feedback vertex sets. I:Informative and determing nodes in regulatory networks( 2013) [2] Atsushi Mochizuki, Bernold Fiedle, Gen Kurosawa and Daisuke Saito. Dynamics and control at feedback vertex sets. II:A faithful monitor to determine the diversity of molecular activities in regulatory networks.(2013) [3] Jack K.Hale. Asymptotic behavior of dissipative systems( 1988) [4] Kei-Ichi Ueda. Three-state network design for robust loopsearching systems(2013) [5] Kei-Ichi Ueda, Masaaki Yadome and Yasumasa Nishiura. Multistate network for loop searching with self-recovery property(2014) [6] Horacio G. Rotstein, Nancy Kopell, Anatol M. Zhabotinsky and Irving R. Epstein. A canard mechanism for localization in systems of globally coupled oscillators.(2003) [7] Brian Ingalls. Mathematical Modelling in Systems Biology: An Introduction.(2012) [8] Jae Kyoung Kim and Daniel B Forger. A mechanism for robust circadian timekeeping via stoichiometric balance(2012) [9] Jae Kyoung Kim, Zachary P. Kilpatrick, Matthew R. Bennett, Kre simir Josi c. Molecular mechanisms that regulate the coupled period of the mammalian circadian clock [10] Daniel B. Forger. Signal processing in cellular clocks.(2010) [11] C. D. Thron. The secant condition for instability in biochemical feedback control-I. the role of cooperativity and saturability(1991) [12] Michael A. Schwemmer and Timothy J. Lewis. The Theory of Weakly Coupled Oscillators.(2012)
dc.identifier.uri	http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/54619	-
dc.description.abstract	在許多生物化學系統中，常微分方程往往可給出這些系統的特性，然而一般方程解的行為並不容易刻畫，在這篇文章中我們介紹從圖論衍生出的工具來對應方程系統，並且介紹以生物上既有的現象來建立兩種數學模型，進而表現出這些生物特性，而我的工作在section 2的定理2.10和2.11，是由Fiedler, Mochizuki, Kurosawa, Saito,2013的定理衍生而來，可將常微分方程簡化為子系統，行為較整體容易掌握。	zh_TW
dc.description.abstract	In biology and chemistry, ODE system is a good way to represent some of their special properties. In this article we mention about some tools from graph theory to deal with ODE systems and two models designed to fulfill some biological properties. My results are Theorem 2.10 and Theorem 2.11 in section 2 coming from the ideas in (Fiedler, Mochizuki, Kurosawa, Saito,2013). The Theorems can reduce an ODE system to subsystems which makes a system easy to analyze.	en
dc.description.provenance	Made available in DSpace on 2021-06-16T03:08:12Z (GMT). No. of bitstreams: 1 ntu-104-R01221013-1.pdf: 1164978 bytes, checksum: ae03bc8bfec38556d34096c1c99676fa (MD5) Previous issue date: 2015	en
dc.description.tableofcontents	目錄Contents 口試委員審定書i 中文摘要ii 英文摘要iii 圖目錄v 1 Introduction 1 2 The corresponding graph theory of an ODE system 2 3 Loop-searching systems 17 4 Robust Circadian Timekeeping 23 5 Appendix 28
dc.language.iso	en
dc.subject	網格系統	zh_TW
dc.subject	網格系統	zh_TW
dc.subject	network systems	en
dc.subject	network systems	en
dc.title	一階微分方程與生物網格系統	zh_TW
dc.title	First order differential equations and biology network systems	en
dc.type	Thesis
dc.date.schoolyear	103-2
dc.description.degree	碩士
dc.contributor.oralexamcommittee	林太家,夏俊雄
dc.subject.keyword	網格系統,	zh_TW
dc.subject.keyword	network systems,	en
dc.relation.page	32
dc.rights.note	有償授權
dc.date.accepted	2015-06-23
dc.contributor.author-college	理學院	zh_TW
dc.contributor.author-dept	數學研究所	zh_TW
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