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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 陳義裕(Yih-Yuh Chen) | |
dc.contributor.author | Chih-Yuan Lee | en |
dc.contributor.author | 李致遠 | zh_TW |
dc.date.accessioned | 2021-06-16T23:07:09Z | - |
dc.date.available | 2012-08-16 | |
dc.date.copyright | 2012-08-16 | |
dc.date.issued | 2012 | |
dc.date.submitted | 2012-08-05 | |
dc.identifier.citation | [1] Chang, H. H., Hemberg, M., Barahona, M., Ingber, D. E., Huang, S.(2008) Transcriptome-wide noise controls lineage choice in mammalian progenitor cells. Nature,
453 , 544-548. [2] Strogatz, S. H. (2000). Nonlinear dynamics and Chaos : with applications to physics, biology, chemistry, and engineering. Reading, Mass.: Addison-Wesley Pub. [3] Ganguly, R. and Puri, I. K.(2006) Mathematical model for the cancer stem cell hypothesis. Cell Prolif., 39, 3-14. [4] Ganguly, R. and Puri, I. K.(2006) Mathematical model for chemotherapeutic drug efficacy in arresting tumour growth based on the cancer stem cell hypothesis Cell Prolif., 40, 338-354. [5] Wolkenhauer O, Auffray C, Baltrusch S, Blüthgen N, Byrne H, Cascante M, and Ciliberto A, et al.(2010) Systems Biologists Seek Fuller Integration of Systems Biology Approaches in New Cancer Research Programs. Cancer Res., 70(1) , 12-13. [6] Gernot Schaller and Michael Meyer-Hermann (2006) Continuum versus discrete model: a comparison for multicellular tumour spheroids. Phil. Trans. R. Soc. A 2006 364, 1443-1464 , [7] Garner, A. L., Lau, Y. Y., Jordan, D. W., Uhler, M. D., and Gilgenbach, R. M.(2006) Implications of a simple mathematical model to cancer cell population dynamics. Cell Prolif. , 39, 15-28. [8] P. Tracqui (2009) Biophysical models of tumour growth. Rep. Prog. Phys. 72(2009)056701 [9] Enmon, R., Yang, W. H., Ballangrud, A. M., Solit, D. B., Heller, G., Rosen, N., and Scher, H. I. et al. (2003) Combination Treatment with 17-N-Allylamino-17-Demethoxy Geldanamycin and Acute Irradiation Produces Supra-Additive Growth Suppression in Human Prostate Carcinoma Spheroids. Cancer Res., 63 , 8393-8399. [10] Jane E. Visvader and Geoffrey J. Lindeman (2008) Cancer stem cells in solid tumours: accumulating evidence and unresolved questions. Nature Reviews Cancer, 8(2008) 755-768. [11] Gupta, P. B., Chaffer, C. L., and Weinberg, R. A.(2009) Cancer stem cells mirage or reality? Nat. Med.. 15, 1010-1012. [12] Kornelia Polyak and Robert A. Weinberg (2009) Transitions between epithelial and mesenchymal states: acquisition of malignant and stem cell traits. Nature Reviews Cancer, 9(2009) 265-273. [13] Gaoliang Ouyang, Zhe Wang, Xiaoguang Fang, Jia Liu, Chaoyong James Yang (2010) Molecular signaling of the epithelial to mesenchymal transition in generating and maintaining cancer stem cells. Cell Mol Life Sci. 67, 2605-2618. [14] Thomas Brabletz, Andreas Jung, Simone Spaderna, Falk Hlubek and Thomas Kirchner (2005) Migrating cancer stem cells — an integrated concept of malignant tumour progression Nat Rev Cancer. 5, 744-9. [15] Mueller-Klieser W. (2000) Tumor biology and experimental therapeutics. Critical Reviews in Oncology., 36 , 123-139. [16] Grivennikov, S. and Karin, M. (2008) Autocrine IL-6 signaling: a key event in tumorigenesis? CANCER CELL , 13 , 7-9. [17]Usmani, S. Z., Bona, R., and Li, Z. H.(2009) 17 AAG for HSP90 Inhibition in Cancer - From Bench to Bedside. Curr. Mol. Med., 9, 654-664. [18] Charles P. Winsor(1932) The Gompertz Curve as a Growth Curve. Proc Natl Acad Sci U S A., 18, 1-8. [19] Tanaka, G., Hirata, Y., Goldenberg, S. L., Bruchovsky, N., and Aihara , K.(2010) Mathematical modelling of prostate cancer growth and its application to hormone therapy. Philos. Trans. R. Soc. A-Math. Phys. Eng. Sci., 368, 5029-5044. | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/64909 | - |
dc.description.abstract | 在這篇論文中,我和學長胡耿銘一起發展了一個生物數學模型。這個模型數學結構的概念是從“Transcriptome-wide noise controls lineage choice in mammalian progenitor cells.”這篇文章延伸出來的。一開始我們探究這個模型的數學特性,想找到一些有趣的數學特性。接下來我們做了許多相關的生物數學模型的文獻回顧,發現我們的模型在生物和數學的詮釋上其實可能比其他的模型都還要好。尤其是我們的模型可以很好的對應到”癌症幹細胞假說”並與實驗數據有很好的對應。於是我們便由此發展出我們自己的模型並賦予它新的生物意涵。我們也藉由對應”癌症幹細胞假說”和實驗數據時做了許多有趣的討論。我們部分的成果已經寫成文章“A Mathematical Model of Heterogeneous Cancer Growth with Autocrine Signaling Pathway.”發表在期刊 Cell Proliferations。 | zh_TW |
dc.description.abstract | In this thesis, I and my senior colleague, Dr. Geng-Ming Hu, develop a biological mathematical model in which the mathematical essence is derived from the paper “Transcriptome-wide noise controls lineage choice in mammalian progenitor cells”. At first, we want to find out some interesting mathematical characteristics such as limiting cycle, but we find that it’s almost impossible to do so. Then when we research associated biological model, we find that our model may have better biological and mathematical interpretation than other models and that our model could fit well with cancer stem cell hypothesis and associated experimental data. Thus we develop our own model with its new biological essence and use it to make excellent fit with associated experimental data. Part of our research is being published in Cell Proliferations under the title “A Mathematical Model of Heterogeneous Cancer Growth with Autocrine Signaling Pathway.” | en |
dc.description.provenance | Made available in DSpace on 2021-06-16T23:07:09Z (GMT). No. of bitstreams: 1 ntu-101-R98222013-1.pdf: 986948 bytes, checksum: 8f13701ce3d9079e34a92e0865d76254 (MD5) Previous issue date: 2012 | en |
dc.description.tableofcontents | 前言…………………………………………………………………………………. i
中文摘要………………………………………………………………………..… ii 英文摘要………………………………………………………………..…………. iii 1 The Original Model and Its Biological Background……...…………………….. 1 1.1 Introduction……..………………………………………………………… 1 1.2 The Model……..………………………………………………………….. 1 1.3 Exact Solution…..………………………………………………………… 2 1.4 Some Implication of this Model………………………………………….. 6 2 The Two-Species General Growth-Transition Model and Its Basic Characteristics………………………….……….…………………………….. 7 2.1 Introduction……..………………………………………………………… 7 2.2 Variable Transformation………………………………………………….. 8 2.3 The Two-Species General Growth-Transition Model with Autocrine Signaling Pathways and Its Basic Characteristi……..….………………… 9 2.4 Disscusion……………………………..……………………………….. 13 3 The Two-Species Logistic Growth-Transition Model and Curve Characteristics Analysis………………………………….…………………………………….. 14 3.1 Introduction……..……………..………………………………………… 14 3.2 Logistic Growth Model…..……………………..……………………….. 14 3.3 Classification of the Nullclines………………………………………… 15 3.4 The Fixed Point Condition…………...………………………………….. 20 3.5 The Stability of the Fixed Points………………………...……………… 21 4 First Approach to Biological Mathematical Model………………………….. 22 4.1 Introduction……..……………………………………………………… 22 4.2 The Model of Previous Work………………...………………………….. 22 4.3 Some Discussion with System Biology……………………..………… 25 5 Review of Other Mathematical Models for Tumor Cells…………………….. 26 5.1 Introduction……..……………………………………………………… 26 5.2 The Space Model……..……………………………………………….. 26 5.3 PQ model…..…………………………………………………………… 27 6 Introduction to Multicellular Tumor Spheroids (MTS) and Its Experimental Data………………………………………………………………..……….….. 30 6.1 Introduction……..……………………………………………………… 30 6.2 Introduction to MTS…………………………………………………….. 30 6.3 Experimental Data of MTS………………….………………………… 31 7 Introduction to Cancer Stem Cell Hypothesis……………...………………….. 34 7.1 Introduction……..……………………………………………………… 34 7.2 The Origin of Cancer Stem Cell Hypothesis…..……………………….. 34 7.3 Some Amendment about Cancer Stem Cell Hypothesis….…………… 36 7.4 Comparison between PQ model and Cancer Stem Cell Hypothesis.….. 37 7.5 Discussion about EMT and Our Model…..…………………………… 38 8 A Mathematical Model of Heterogeneous Cancer Growth with Autocrine Signaling Pathway………………………………………………………….…………….. 39 8.1 Introduction……..……………………………………………………… 39 8.2 The Model……..………………………………………..……………….. 39 8.3 The Fit of “Delay” Feature and the Parameter Setting…………..….… 41 8.4 The Fit of Data with 17AAG Treatment and Its Biological Implication 43 8.5 Bistable Behavior…….……………..…………………………………… 45 8.6 The Fit of Data with Irradiation Treatment and Its Biological Interpretation……………………..…………………..………………….. 47 8.7 Some Discussion of the Model……...……………...…………………… 51 9 Discussion of Another Growth Function:The Gompertz Equation………….. 52 9.1 Introduction……..……………………………………………………… 52 9.2 The Gompertz Equation……………………………………………….. 52 9.3 Discussion……………………………………………………………… 52 10 Another Possible Application: Intermittent Androgen Suppression (IAS)…... 55 10.1 Introduction……..……………………….…………………………… 55 10.2 Introduction to IAS.…...……………………………….………………. 55 10.3 IAS and Our Model..…………………………………………………… 55 參考文獻…………………………………………………………………….…… 58 | |
dc.language.iso | en | |
dc.title | 雙物種成長與轉換模型與其生物應用 | zh_TW |
dc.title | The Two-Species Logistic Growth-Transition model and the Discussion of Its Biological Application: A Mathematical Model of Heterogeneous Cancer Growth with Autocrine Signaling Pathway | en |
dc.type | Thesis | |
dc.date.schoolyear | 100-2 | |
dc.description.degree | 碩士 | |
dc.contributor.coadvisor | 龐寧寧(Ning-Ning Pan) | |
dc.contributor.oralexamcommittee | 李世炳(Sai-Ping Li) | |
dc.subject.keyword | 非線性動力學,生物數學模型,癌症幹細胞,系統生物學,動態系統, | zh_TW |
dc.subject.keyword | nonlinear dynamics,biological mathematical model,cancer stem cells,system biology,dynamic system, | en |
dc.relation.page | 59 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2012-08-06 | |
dc.contributor.author-college | 理學院 | zh_TW |
dc.contributor.author-dept | 物理研究所 | zh_TW |
顯示於系所單位: | 物理學系 |
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