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    政大機構典藏 > 商學院 > 統計學系 > 學位論文 >  Item 140.119/83254
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/83254


    Title: 曲線配適於磁振造影之應用
    Authors: 簡仲徽
    Contributors: 余清祥
    簡仲徽
    Keywords: 磁振造影
    迴歸分析法
    Whittaker修勻法
    非線性函數參數修勻法
    核修勻法
    乘方性誤差項
    加成性誤差項
    Magnetic Resonance Imaging
    Regression Analysis
    Whittaker Graduation
    Nonlinear Function Parametric Graduation
    Kernel Graduation
    multiple error term
    additive error term
    Date: 2000
    Issue Date: 2016-03-31 14:45:03 (UTC+8)
    Abstract: 在醫學領域中,磁振造影(Magnetic Resonance Imaging, MRI)因為具有良好的空間解析度及對比度,且不會對人體產生任何輻射性或侵入性的傷害,所以在疾病診斷中為經常被醫師們使用的輔助工具。其中利用磁振造影測量患者腦部血流情形所攝得之對比劑濃度與時間關係曲線圖,更是醫學界在對付腦血管病變(Brain Lesion)時的診斷利器。然而截至目前為止,我們尚未有一個較正確且快速的方法可以用來配適其對比劑濃度與時間關係曲線中的參數。所以在本論文中,我們嘗試以統計上的觀點,利用幾種不同的配適方法,找出與原始觀察值最為接近之估計值。
    With greater resolution, higher contrast and no radiative hurt to human body, Magnetic Resonance Imaging (MRI) is widely used by doctors in diagnosing diseases. The concentration of the contrast agent v.s. time curves which generated by MRI for cerebral blood flowing is very useful to doctors when giving treatments to brain lesion. However, we still have no precise and quick solution for fitting the curve of the concentration of the contrast agent vs. time. Therefore, this essay tries to use some different statistical fitting methods to find the closest estimates to the crude observations.
    Reference: I.中文部分:
    江俊明(1997),“小波分析簡介”,私立淡江大學物理學系碩士論文。
    余清祥(1997),“修勻—統計在保險的應用”,雙葉書廊。
    呂明山(1997),“小波係數用於腦電波之特徵分析”,國立交通大學控制工學系碩士論文, 第7至9頁。
    邱志遠(1992),“核磁共振擴散影像在人類腦病變之應用”,國立陽明大學醫學工程研究所碩士論文,第1至3頁、第16至32頁。
    謝楊承(1999),“以投影重建法從事磁振匙孔造影之電腦模擬與評估”,國立陽明大學醫學工程研究所碩士論文, 第1-1至第2-15頁、第5-1頁。
    II.英文部分:
    Anderson, T.W.(1984), “An Introduction to Multivariate Statistical Analysis”, New York:Wiley.
    Bowman, A.W. and Azzalini, A.(1997), “Applied Smoothing Techniques for Data Analysis”, Clarendon Press, Oxford, 1997, 20-23.
    Chan, F. Y., Chan, L. K., and Yu, M. H.(1984), “A Generalization of Whitakker-Henderson Graduation”, TSA, XXXVI, 183-204.
    Chui, C. K.(1992), “An Introduction to Wavelets”, Boston:Academic Press. , 1992, 10-22.
    Greville, T. N. E., Boom, H. J., Jones, D. A., and Nesbitt, C.J.(1973)”Part 5 Study Notes: Graduation”, Chicago:Society of Actuaries.
    Hart, J.D.(1997),“ Nonparametric Smoothing and Lack-of-Fit Tests”, Springer-Verlag, New York, Inc, 1997, 84-94.
    Ostergaard, L., Weisskoff, R. M., Chesler, D. A., Gyldensted, C. and Rosen B. R.(1996), “High Resolution Measurement of Cerebral Blood Flow using Intravascular Tracer Bolus Passages. Part I: Mathematical Approach and Statistical Analysis.”MRM(36), 1996,5, 715-725.
    Starmer, C. F., and Clark, D. O.(1970), “Computer Computations of Cardiac Output using The Gamma Function”J.Appl. Physiol. 28(2), 1970, 219-220.
    Weisskoff, R. M. Chesler, D., Boxerman, J. L. and Rosen, B. R.(1993), “Pitfalls in MR Measurement of Tissue Blood Flow with Intravascular Tracers: Which Mean Transit Time?”MRM(29), 1993, 553-559.
    Description: 碩士
    國立政治大學
    統計學系
    87354013
    Source URI: http://thesis.lib.nccu.edu.tw/record/#A2002002155
    Data Type: thesis
    Appears in Collections:[統計學系] 學位論文

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