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作者(中文):胡鴻志
作者(外文):Hu, Hong-Zhi
論文名稱(中文):使用雙共軛梯度法解非線性泊松-能斯特-普朗克-費米TRPV1通道
論文名稱(外文):Poisson-Nernst-Planck-Fermi Nonlinear Solver for TRPV1 Channels with Bi-Conjugate Gradient Method
指導教授(中文):劉晉良
指導教授(外文):Liu, Jinn-Liang
口試委員(中文):陳仁純
陳人豪
口試委員(外文):Chen, Ren-Chuen
Chen, Jen-Hao
學位類別:碩士
校院名稱:國立清華大學
系所名稱:應用數學系所
學號:210524203
出版年(民國):107
畢業學年度:106
語文別:英文
論文頁數:19
中文關鍵詞:離子通道有限差分法中央處理器圖形處理器泊松-能斯特-普朗克-費米
外文關鍵詞:Poisson-Nernst-Planck-Fermi Nonlinear SolverCPU,GPUion channelBi-Conjugate Gradient MethodFinite-Difference Methods
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在動物細胞中,有許多大大小小的離子蛋白質通道,並且我們使用很重要的蛋白質通道之一,即瞬時受體電位陽離子通道(TRPV1)。在本文中,我們使用SOR 和BiCG 的演算法來測試加速速率,因此再次證實BiCG 優於SOR。在本文的最後,我們使用由泊松-能斯特-普朗克-費米模型(PFNP)模擬的TRPV1 離子通道來測試CPU 和GPU 的加速速度,然後使用BiCG 演算法找到可加速6.2 倍。
Among animal cells, there are many large and small ionic protein channels, and we have used one of the important protein channels, the Transient Receptor Potential Cation Channel (TRPV1). In this paper, we used Successive Over Relaxation (SOR) and BiConjugate Gradient (BiCG) algorithms to test the accelerating rate, and therefore once again confirmed that BiCG is better than SOR. At the end of this paper, we use the TRPV1 ion channel simulated by the Poisson-Nernst-Planck-Fermi model (PFNP) to test the acceleration rate of the CPU and GPU after using the BiCG algorithm to find the acceleration 6.2 times.
Contents
摘要------------------------------------------------------I
Abstract-------------------------------------------------II
1 Introduction--------------------------------------------1
2 Transient Receptor Potential Cation Channel TRPV1-------2
3 Successive Over Relaxation Method-----------------------3
4 BiConjugate Gradient Method-----------------------------6
5 Poisson-Nernst-Planck-Fermi Nonlinear Solver------------8
6 Results------------------------------------------------13
7 Summary------------------------------------------------16
References-----------------------------------------------17
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