Emergence in biology and social sciences

Schnappschüsse moderner Mathematik aus 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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Mathematisches Fachgebiet

Analysis

Verbindung zu anderen Gebieten

Biowissenschaft
Physik

Autor(en)

Franca Hoffmann, Sara Merino-Aceituno

Lizenz

DOI (Digital Object Identifier)

10.14760/SNAP-2022-001-EN

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snapshot-2022-001.pdf

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snapshots: overview

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Closed geodesics on surfaces and Riemannian manifolds
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Aperiodic Order and Spectral Properties
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Profinite groups
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Footballs and donuts in four dimensions
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The Willmore Conjecture
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Prime Tuples in Function Fields
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Polyhedra and commensurability
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Dirichlet Series

Mathematisches Fachgebiet

Algebra und Zahlentheorie
Analysis
Didaktik und Bildung
Diskrete Mathematik und Grundlagen
Geometrie und Topologie
Numerik und Wissenschaftliches Rechnen
Wahrscheinlichkeitstheorie und Statistik

Verbindung zu anderen Gebieten

Chemie und Geowissenschaft
Informatik
Ingenieurwissenschaft und Technik
Finanzwesen
Geistes- und Sozialwissenschaft
Biowissenschaft
Physik
Überlegungen zur Mathematik

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