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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

Analysis

Connections to other fields

Life Science
Physics

Author(s)

Franca Hoffmann, Sara Merino-Aceituno

License

DOI (Digital Object Identifier)

10.14760/SNAP-2022-001-EN

Download PDF

snapshot-2022-001.pdf

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snapshots: overview

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      Closed geodesics on surfaces
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      Characterizations of intrinsic volumes on convex bodies and convex functions
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      The Robinson–Schensted algorithm
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      Tropical geometry
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      Topological Complexity, Robotics and Social Choice
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      Computing with symmetries
      Piotr Sułkowski
      Topological recursion
      Anna Seigal
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      Solving quadratic equations in many variables
      Chi-Wang Shu
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      Spaces of Riemannian metrics
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      The adaptive finite element method
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      The Willmore Conjecture
      Lior Bary-Soroker
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      Polyhedra and commensurability
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      Quantum diffusion
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      Tom Solomon
      Chaos and chaotic fluid mixing
      Thorsten Holm
      Friezes and tilings
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      Zero-dimensional symmetry
      Christine Breiner
      Minimizing energy
      Diana Davis
      Billiards and flat surfaces
      Peter Benner, Hermann Mena, René Schneider
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      Gregory Knese
      Operator theory and the singular value decomposition
      Alain Valette
      The Kadison-Singer problem
      Ragnar-Olaf Buchweitz, Eleonore Faber
      Swallowtail on the shore
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      Statistics and dynamical phenomena
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      Arrangements of lines
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      The ternary Goldbach Problem
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      Matrixfaktorisierungen
      John E. McCarthy
      Dirichlet Series

      Mathematical subjects

      Algebra and Number Theory
      Analysis
      Didactics and Education
      Discrete Mathematics and Foundations
      Geometry and Topology
      Numerics and Scientific Computing
      Probability Theory and Statistics

      Connections to other fields

      Chemistry and Earth Science
      Computer Science
      Engineering and Technology
      Finance
      Humanities and Social Sciences
      Life Science
      Physics
      Reflections on Mathematics

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