Hybrid Modelling of Individual Movement and Collective Behaviour

DOI10.1007/978-3-642-35497-7_5zbMath1347.92111OpenAlexW1879689233MaRDI QIDQ2822126

Radek Erban, Benjamin Franz

Publication date: 27 September 2016

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:dcb78810-f2af-4451-80b4-41d0a5a72142

zbMATH Keywords

dispersalbiological systemsextracellular chemicals

Mathematics Subject Classification ID

Animal behavior (92D50) Traveling wave solutions (35C07) Systems biology, networks (92C42)

Related Items (5)

Moment-flux models for bacterial chemotaxis in large signal gradients ⋮ Learning black- and gray-box chemotactic PDEs/closures from agent based Monte Carlo simulation data ⋮ Travelling waves in hybrid chemotaxis models ⋮ Macroscopic equations for bacterial chemotaxis: integration of detailed biochemistry of cell signaling ⋮ Unnamed Item

Uses Software

• KernSmooth

Cites Work

• Unnamed Item
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• Models of dispersal in biological systems
• Model for chemotaxis
• Traveling bands of chemotactic bacteria: a theoretical analysis
• Taxis equations for amoeboid cells
• Nonlinear mean field Fokker-Planck equations. Application to the chemotaxis of biological populations
• On particle-grid interpolation and calculating chemistry in particle-in- cell methods
• From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
• Mathematical biology. Vol. 1: An introduction.
• A hybrid agent-based approach for modeling microbiological systems
• An equation-free computational approach for extracting population-level behavior from individual-based models of biological dispersal
• A hybrid approach to multi-scale modelling of cancer
• The Derivation of Chemotaxis Equations as Limit Dynamics of Moderately Interacting Stochastic Many-Particle Systems
• Selfsimilar profiles in large time asymptotics of solutions to damped wave equations
• From Individual to Collective Behavior in Bacterial Chemotaxis
• Multiscale Models of Taxis-Driven Patterning in Bacterial Populations

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