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(Ideal, Varieties, and Algorithms [グレブナ基底と代数多様体入門] (2012 July~))
 
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==An introduction to stochastic processes with applications to biology==
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==Ideal, Varieties, and Algorithms [グレブナ基底と代数多様体入門] (2012 July~)==
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* Chapter 1
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** S1 [http://metabolomics.jp/mediawiki/images/a/a4/Groebner1-1.pdf Chichii]
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** S2 Kohata
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** S3 [http://metabolomics.jp/mediawiki/images/a/a5/Section1-3.pdf Hasegawa]
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** S4 [[Aritalab:Lecture/Math/Ideal|Arita]]
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** S5 [http://metabolomics.jp/mediawiki/images/9/91/Groebner1_5.pdf Sato]
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* Chapter 2
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** S1 [http://metabolomics.jp/mediawiki/images/2/25/Groebner2-1.pdf Chichii]
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** S2 Kohata
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** S3 [http://www.metabolomics.jp/mediawiki/images/8/8b/Groebner_Chapter2_Sec3.pdf Hasegawa]
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** S4 [[Aritalab:Lecture/Math/Ideal|Arita]]
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** S5 Sato
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** S6 [http://metabolomics.jp/mediawiki/images/6/6d/Groebner_slide2-6.pdf Chichi]
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** S7 [http://metabolomics.jp/mediawiki/images/c/c5/Groebner_Chapter2_Sec7.pdf Hasegawa]
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** S8 [[Aritalab:Lecture/Math/Groebner|Arita]]
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** [Supplementary] [http://metabolomics.jp/mediawiki/images/8/87/Simple_applications_Groebner.pdf Applications of Groebner]
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* Chapter 3
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** S1 [http://metabolomics.jp/mediawiki/images/4/48/3_1.pdf Sato]
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** S2 [http://metabolomics.jp/mediawiki/images/a/ae/Groebner_slide3-2.pdf Chichii]
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** S3 [http://metabolomics.jp/mediawiki/images/f/f9/GroebnerBook_3-3.pdf Hasegawa]
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** S4 [http://metabolomics.jp/mediawiki/images/7/7e/3_4.pdf Sato]
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** S5 [[Aritalab:Lecture/Math/Resultant|Arita]]
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** S6 Chichii [http://metabolomics.jp/mediawiki/images/3/3c/Groebner_slide3-6_1.pdf file1] [http://metabolomics.jp/mediawiki/images/5/52/Groebner_slide3-6_2.pdf file2]
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* Chapter 4
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** S1 [http://metabolomics.jp/mediawiki/images/e/ea/Groebner4_1a.pdf Hasegawa]
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** S2 [[Aritalab:Lecture/Math/Radical|Arita]]
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** S3a Sato
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** S3b [http://metabolomics.jp/mediawiki/images/5/5a/Groebner_4_3.pdf Hasegawa]
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** S4 Chichii [http://metabolomics.jp/mediawiki/images/0/0a/Groebner_slide4-4_1.pdf file1] [http://metabolomics.jp/mediawiki/images/3/3b/Groebner_slide4-4_2.pdf file2]
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** S5 [http://metabolomics.jp/mediawiki/images/f/f6/Groebner_4_5.pdf Hasegawa]
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** S6 Arita
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==An introduction to stochastic processes with applications to biology (2011 April~)==
 
* S2 Discrete-Time Markov Chains
 
* S2 Discrete-Time Markov Chains
 
** [http://metabolomics.jp/wiki/Aritalab:Lecture/NetworkBiology/Markov_Chains Arita]
 
** [http://metabolomics.jp/wiki/Aritalab:Lecture/NetworkBiology/Markov_Chains Arita]
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* S7 Biological Applications of Continuous-Time Markov Chains
 
* S7 Biological Applications of Continuous-Time Markov Chains
 
** Kohata (7.1-7.3)
 
** Kohata (7.1-7.3)
** Hasegawa (7.5-7.6)
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** Hasegawa (7.4-7.6)
 
*** [http://sites.google.com/site/yoshihikohasegawa/data/%E8%BC%AA%E8%AA%AD7_5__7_6%E7%AB%A0.pdf?attredirects=0&d=1 PPT]
 
*** [http://sites.google.com/site/yoshihikohasegawa/data/%E8%BC%AA%E8%AA%AD7_5__7_6%E7%AB%A0.pdf?attredirects=0&d=1 PPT]
*** [http://sites.google.com/site/yoshihikohasegawa/data/Gillespie.nb?attredirects=0&d=1 Mathematica (NB)]
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*** [http://sites.google.com/site/yoshihikohasegawa/data/Gillespie.nb?attredirects=0&d=1 Gillespie algorithm in Mathematica (NB)]
*** [http://sites.google.com/site/yoshihikohasegawa/data/Gillespie.pdf?attredirects=0&d=1 Mathematica (PDF)]
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*** [http://sites.google.com/site/yoshihikohasegawa/data/Gillespie.pdf?attredirects=0&d=1 Gillespie algorithm in Mathematica (PDF)]
** Arita (7.6-7.8)
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** Hasegawa (7.7-7.8)
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*** [http://sites.google.com/site/yoshihikohasegawa/data/%E8%BC%AA%E8%AA%AD7_7%E7%AB%A0.pdf?attredirects=0&d=1 PPT]
 
* S8 Diffusion Processes and Stochastic Differential Equations
 
* S8 Diffusion Processes and Stochastic Differential Equations
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** [http://metabolomics.jp/wiki/Aritalab:Lecture/NetworkBiology/Diffusion Arita] (8.1-8.5)
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** [http://www.metabolomics.jp/mediawiki/images/3/3a/%E8%BC%AA%E8%AA%AD8-6_7.pdf Hasegawa] (8.6-8.7)
 
* S9 Biological Applications of Stochastic Differential Equations
 
* S9 Biological Applications of Stochastic Differential Equations
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==Lectures on Toric Varieties==
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* S0 Background
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* S1 Toric Varieties, Lattices, and Cones

Latest revision as of 19:50, 11 July 2013

[edit] Ideal, Varieties, and Algorithms [グレブナ基底と代数多様体入門] (2012 July~)

[edit] An introduction to stochastic processes with applications to biology (2011 April~)

[edit] Lectures on Toric Varieties

  • S0 Background
  • S1 Toric Varieties, Lattices, and Cones
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