Energy Landscape for autoregulation networks
碩士 === 中原大學 === 應用物理研究所 === 97 === In this thesis, we want to construct the general potential for a stochastic dynamical equation, and use generalized potential to find stationary probability distribution. First we need to find the gauge transformation. That can make decomposition for drift force an...
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ndltd-TW-097CYCU55040142015-10-13T12:04:54Z http://ndltd.ncl.edu.tw/handle/63750135361368187776 Energy Landscape for autoregulation networks 以能量形貌研究基因自動調控網路 Meng-Fang Tsai 蔡孟芳 碩士 中原大學 應用物理研究所 97 In this thesis, we want to construct the general potential for a stochastic dynamical equation, and use generalized potential to find stationary probability distribution. First we need to find the gauge transformation. That can make decomposition for drift force and diffusion force, drift force that after making transformation will be native gradient of general potential. Then make a constraint that new diffusion matrix equal to the symmetry term of transformation matrix. Use these Conditions to find general potential. The system is single autoregulation networks that use Rate equation, Birth-Death Process and Ω-expansion to modeling system. Basis on this, start to construct the general potential. Ming-Chang Huang 黃敏章 2009 學位論文 ; thesis 66 zh-TW |
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碩士 === 中原大學 === 應用物理研究所 === 97 === In this thesis, we want to construct the general potential for a stochastic dynamical equation, and use generalized potential to find stationary probability distribution. First we need to find the gauge transformation. That can make decomposition for drift force and diffusion force, drift force that after making transformation will be native gradient of general potential. Then make a constraint that new diffusion matrix equal to the symmetry term of transformation matrix. Use these Conditions to find general potential. The system is single autoregulation networks that use Rate equation, Birth-Death Process and Ω-expansion to modeling system. Basis on this, start to construct the general potential.
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Ming-Chang Huang |
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Ming-Chang Huang Meng-Fang Tsai 蔡孟芳 |
author |
Meng-Fang Tsai 蔡孟芳 |
spellingShingle |
Meng-Fang Tsai 蔡孟芳 Energy Landscape for autoregulation networks |
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Meng-Fang Tsai |
title |
Energy Landscape for autoregulation networks |
title_short |
Energy Landscape for autoregulation networks |
title_full |
Energy Landscape for autoregulation networks |
title_fullStr |
Energy Landscape for autoregulation networks |
title_full_unstemmed |
Energy Landscape for autoregulation networks |
title_sort |
energy landscape for autoregulation networks |
publishDate |
2009 |
url |
http://ndltd.ncl.edu.tw/handle/63750135361368187776 |
work_keys_str_mv |
AT mengfangtsai energylandscapeforautoregulationnetworks AT càimèngfāng energylandscapeforautoregulationnetworks AT mengfangtsai yǐnéngliàngxíngmàoyánjiūjīyīnzìdòngdiàokòngwǎnglù AT càimèngfāng yǐnéngliàngxíngmàoyánjiūjīyīnzìdòngdiàokòngwǎnglù |
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