From individual behaviour to population models: A case study using swimming algae

DOI10.1016/j.jtbi.2008.01.007zbMath1398.92268OpenAlexW1969809950WikidataQ51891871 ScholiaQ51891871MaRDI QIDQ1794362

R. N. Bearon, Daniel Grünbaum

Publication date: 15 October 2018

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2008.01.007

zbMATH Keywords

diffusionrandom walkscollective motionmicro-organisms\textit{Heterosigma akashiwo}

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Ecology (92D40) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

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The spatial distribution of gyrotactic swimming micro-organisms in laminar flow fields ⋮ Effective rheological properties in semi-dilute bacterial suspensions ⋮ Helical swimming can provide robust upwards transport for gravitactic single-cell algae. a mechanistic model ⋮ On the modeling of crowd dynamics: an overview and research perspectives ⋮ Estimating 3D movements from 2D observations using a continuous model of helical swimming ⋮ Biased swimming cells do not disperse in pipes as tracers: A population model based on microscale behaviour ⋮ ON THE DIFFICULT INTERPLAY BETWEEN LIFE, "COMPLEXITY", AND MATHEMATICAL SCIENCES

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• Advection-Diffusion Equations for Internal State-Mediated Random Walks
• The Diffusion Limit of Transport Equations Derived from Velocity-Jump Processes
• Transport Equations and Indices for Random and Biased Cell Migration Based on Single Cell Properties

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