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====== The mathematics of patterns ====== | ====== The mathematics of patterns ====== | ||

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If you look around to your surroundings, | If you look around to your surroundings, | ||

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These notes are intended to introduce you to the mathematics behind pattern formation. The first section is just a brief discussion of why we might be interested in understanding patterns in biological systems (e.g. developmental biology). The second section talks about the basic partial differential equations from which we can build many of the patterns we encounter in nature. The next sections will talk about pattern formation itself, and we will work through some interesting examples that can be applied to animal coat patterns. | These notes are intended to introduce you to the mathematics behind pattern formation. The first section is just a brief discussion of why we might be interested in understanding patterns in biological systems (e.g. developmental biology). The second section talks about the basic partial differential equations from which we can build many of the patterns we encounter in nature. The next sections will talk about pattern formation itself, and we will work through some interesting examples that can be applied to animal coat patterns. | ||

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- | + | * [[dynsys|Home]] | |

- | {{page>:princeton:dynsys:navigation}} | + | * [[dynsys:pattern|Pattern formation in nature]] |

+ | * [[dynsys:reactdiffuse1|Reaction-diffusion I]] | ||

+ | * [[dynsys:reactdiffuse2|Reaction-diffusion II]] | ||

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Last modified: 2021/09/06 01:20