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数理生物学演習

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数理生物学演習

第6回 ランダムな現象: 

遺伝的浮動,ライト-フィッシャーモデル

1

野下 浩司(Noshita, Koji) 

!

[email protected] 

" https://koji.noshita.net 

理学研究院 数理生物学研究室

発展

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2

Kimura & Ohta, 1969, Genetics

突然変異固定までの平均待ち時間

再現したい図 

(ただし課題では集団サイズが異なる)

Kimura, M., Ohta, T. (1969). The Average Number of Generations until Fixation of a Mutant Gene in a Finite Population. Genetics 61(3), 763-71. https://www.ncbi.nlm.nih.gov/pubmed/17248440

それぞれの曲線は 

  に基づく.

T(p) = 1

p {2N(1 p)loge(1 p)}

各点は   の初期値に応じて 

計算された待ち時間   の平均値 p

T

参照

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