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Emergence in biology and social sciences
Snapshots of modern mathematics from Oberwolfach
Emergence in biology and social sciences
Mathematics is the key to linking scientific knowledge at different scales: from microscopic to macroscopic dynamics. This link gives us understanding on the emergence of observable patterns like flocking of birds, leaf venation, opinion dynamics, and network formation, to name a few. In this article, we explore how mathematics is able to traverse scales, and in particular its application in modelling collective motion of bacteria driven by chemical signalling.
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Mathematical subjects
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/analysis-06.png?itok=O4i7d5Wv)
Analysis
Connections to other fields
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/life-sciences-01.png?itok=3JrkXVc3)
Life Science
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/physics-05.png?itok=QpsS2HhD)
Physics
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DOI (Digital Object Identifier)
10.14760/SNAP-2022-001-EN
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snapshots: overview
Mathematical subjects
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/algebra-12.png?itok=WMnSOls0)
Algebra and Number Theory
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/analysis-06.png?itok=O4i7d5Wv)
Analysis
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/didactics-education-15.png?itok=zGEXvt-F)
Didactics and Education
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/discrete-mathematics-15.png?itok=-FzQkYYS)
Discrete Mathematics and Foundations
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/geometry-11.png?itok=7nie2HtL)
Geometry and Topology
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/scientific-computing-13.png?itok=ITl1i8bo)
Numerics and Scientific Computing
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/probability-03.png?itok=3JwXiTOH)
Probability Theory and Statistics
Connections to other fields
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/earth-science-08.png?itok=cZerm-ci)
Chemistry and Earth Science
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/computer-science-07.png?itok=pLuN6kUJ)
Computer Science
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/engineering-13.png?itok=tp5ri2dm)
Engineering and Technology
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/finances-12.png?itok=lG8MBRm4)
Finance
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/humanities-02.png?itok=RscY9Rzd)
Humanities and Social Sciences
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/life-sciences-01.png?itok=3JrkXVc3)
Life Science
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/physics-05.png?itok=QpsS2HhD)
Physics
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/reflections-05.png?itok=9gMon4LN)
Reflections on Mathematics