研究生: |
吳仁國 |
---|---|
論文名稱: |
發展中的神經網路之電腦模擬 Computer Simulations of a Developing Neural Network |
指導教授: | 陳啟明 |
學位類別: |
碩士 Master |
系所名稱: |
物理學系 Department of Physics |
論文出版年: | 2007 |
畢業學年度: | 95 |
語文別: | 中文 |
論文頁數: | 57 |
中文關鍵詞: | 神經元 、網路 |
英文關鍵詞: | neuron, network |
論文種類: | 學術論文 |
相關次數: | 點閱:116 下載:9 |
分享至: |
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報 |
對於研究大腦的功能來說瞭解神經網路的構造與動力機制是很重要的,神經元是大腦中基本的組成單位,雖然在神經元的物理性質與行為的研究上已經吸引了相當大的注意,但是在神經網路中神經元之間的交互作用仍然不清楚。
在這研究中我們結合了Hodgkin-Huxley 的神經元模型與一個簡單地形成突觸聯結的機制來建構一個二維的神經網路,並且藉由STDP 學習機制使用電腦模擬來研究神經網路的同步化現象與突觸可塑性的性質變化。
在我們的模擬中,我們將藉由不同的分佈模式與分佈密度來探討神經網路發展時的性質。我們也採用最短路徑與叢集係數來探討網路的構造特性與現象。另外,我們也對神經網路在學習機制下所展現出的同步化行為的特徵進行研究。最後,我們將對於神經網路在發展的各階段經由學習效應的作用下所造成的突觸可塑性變化與增強效應進行探討。
Understanding the structure and dynamics of neural networks is important to study functions of brain. Neurons are the fundamental units of brains. Although the study in physical properties and behaviors of a single neuron has attracted considerable attention, the interaction among neurons in a neural network is so far unclear.
In this study, we combine the Hodgkin-Huxley neural model and a simple mechanism of synaptic connection to build a two-dimension neural network, by which we could study the synchronization and synaptic plasticity of a neural network with STDP learning rule using computer simulations.
In our simulations, we discuss the properties of a developing neural network with four designed patterns and different density of neural distribution. We also discuss the structural properties of networks by their characteristic path length and clustering coefficient. Furthermore, we investigate the synchronous behavior of a neural network after learning at various developing stages . Finally, we discuss the synaptic plasticity and enhancement effects for a random network after learning at various developing stages.
[1] R. Douglas Fields and Beth Stevens-Graham , Science 298, 556-562 (2002).
[2] Christof Koch , Biophysics of Computation – Information Processing in Single Neuron” New York : Oxford University Press, 142-171(1999)
[3] A. L. Hodgkin and A. F. Huxley , J. Physiol. 117, 500-544 (1952) .
[4] S. Song , K.D. Miller and L.F. Abbott , Nature Neurosci. 3 ,919-926 (2000).
[5] G.Q. Bi , H.X. Wang , Physio. Behav. 77 , 551-555 (2002) .
[6] G.Q. Bi , Biol. Cybern. 87 , 319-332 (2002) .
[7] G.Q. Bi , M.M Poo , Annu. Rev. Neurosci. 24, 139-166 (2001).
[8] E.M. Izhikevich, IEEE Trans. Neural Networks 14, 1569–1572, (2000).
[9] T. D. Hassinger, P.B. Guthrie, P.B. Atkinson, M.V.L. Bennett, and S.B. Kater, Proc. Natl. Acad. Sci. 93, 13268-13273(1996).
[10]許世昌 , 新編解剖生理學, 臺北市:永大, 259-351 (1999)
[11] P. B. Guthrie , J. Knappenberger , M. Segal , M.V. L. Bennett , A.C. charles, and S. B. Katar , J. Neurosci. 19(2), 520-528 (1999).
[12] G.Q. Bi and M.M Poo , J. Neurosci. 18(24), 10464-10472 (1998)
[13] L.C. Jia , M. Sano , P.Y. Lai , and C.K. Chan , Phys. Rev. Lett. 93 , 088101 (2004).
[14] J.E. Rubin, R.C. Gerkin , G.Q. Bi, and C.C. Chow, J. Neurophysiol. 93 , 2600-2613 (2005).
[15] T.C. Chao and C.M. Chen, J. Computational Neurosci. 19, 311-324(2005).
[16] D.O. Hebb, The organization of behavior : a neuro-psychological theory, New York : Wiley, c1949, (1961)
[17] B.A. y Arcas, A.L. Fairhall, and W. Bialek, Neural Comput. 15 , 1715-1749 (2003).
[18] F.W. Pfrieger , Neurobiol. 12 , 486-490 (2002).
[19] D. Brown , J. Feng , and S. Feerick , Phys. Rev. Lett. 82 , 4731-4734 (1999).
[20] L.F. Abbott and W.G. Regehr, Nature. 431 , 796-803 (2004).
[21] L.F. Abbott and S.B. Nelson, Nature Neurosci. 3 ,1178-1183 (2000).
[22] A. Panatier and S.H.R. Oliet , Neuron Glia Biology , 51-58 (2006).
[23] Michael Haber and Keith K. Murai , Neuron Glia Biology , 59-66 (2006).
[24] F. Amzica and M. Massimini, Cereb. Cortex. 12 , 1101-1113 , (2002).
[25] S. Koizumi , K. Fujishita , M. Tsuda , Y. Shigemoto-Mogami , and K. Inoue , Proc. Natl. Acad. Sci. 100 , 11023-11028 (2003).
[26] web site : http://dpsea.idv.tw/discuss/modules/magazine
[27]web site:
http://www.ces.clemson.edu/~petersj/BioEng/SimpleGates/SimpleGates002.html
[28] web site : http://hopf.chem.brandeis.edu/yanglingfa/glia/type/index.html
[29] web site : http://www.dls.ym.edu.tw/neuroscience/introb_c.html
[30] web site :
http://www.biol.ntnu.edu.tw/batman/handout/HUMAN%20DE%20handout%20PDF/ch8.pdf
[31] web site : http://www.csse.monash.edu.au/courseware/cse2330/Lnts/L09D.pdf
[32] D. J. Watts and S. H. Strogatz, Nature. 393, 440-442 (1998).
[33] S. H. Strogatz, Nature. 410, 268-276 (2001).