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履修条件
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授業概要
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This course is an introduction to devising mathematical model of biological phenomena and analyzing differential equations.
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授業形態
（項目）
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■ 講義・演習
□ 実験
□ グループワーク・ペアワーク
□ 学内外実習
□ プレゼンテーション
□ ディスカッション
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授業形態
（内容）
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使用する教材等
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板書、テキスト（紙媒体）、スライド資料（電子媒体）、映像・音声資料
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全体の教育目標
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The objective of this course is to allow students to build up mathematical model for phenomenon of nature (especially biological phenomenon) and to analyze the model.
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個別の教育目標
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Students should come to be able to:
(1) understand what wide-ranging differential equations represents
(2) analytically calculate some sort of differential equation
(3) build up the mathematical model for the phenomenon that you are interested in
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授業計画
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1. Introduction to mathematical models that allow us to deeply understand biological phenomena.
2. Introduction to differential equations 1
3. Introduction to differential equations 2
4. Analysis of linear system
5. Stability of linear system
6. Computing of stability of non-linear system
7. Bifurcation theory
8. Mathematical models in ecology
9. Modeling for periodic phenomena
10. Introduction to phase description
11. Analysis of periodic phenomena
12. Mathematical models for circadian rhythms
13. Introduction to partial differential equations
14. Mathematical analysis of pattern formation
15. Biological examples of pattern formation
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キーワード
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differential equations, biological phenomena, oscillator, pattern formation
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授業の進め方
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This course includes course lectures and occasionally exercise time.
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テキスト
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参考書
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SH. Strogatz "Nonlinear Dynamics And Chaos: With Applications To Physics, Biology, Chemistry, And Engineering"
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学習相談
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Whenever you have a question, you can come to my office. It is recommended to get an appointment by e-mail in advance.
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試験／成績評価の方法等
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その他
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添付ファイル
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更新日付
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2021-03-08 13:32:38.527
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