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  A Stochastic Description of Dictyostelium Chemotaxis

Amselem, G., Theves, M., Bae, A., Bodenschatz, E., & Beta, C. (2012). A Stochastic Description of Dictyostelium Chemotaxis. PLoS ONE, 7, e37213-1-e37213-11. doi:10.1371/journal.pone.0037213.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-10D1-4 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-10D2-2
Genre: Journal Article

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 Creators:
Amselem, Gabriel1, Author              
Theves, Matthias1, Author              
Bae, Albert1, Author              
Bodenschatz, Eberhard1, Author              
Beta, Carsten1, Author              
Affiliations:
1Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063287              

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 Abstract: Chemotaxis, the directed motion of a cell toward a chemical source, plays a key role in many essential biological processes. Here, we derive a statistical model that quantitatively describes the chemotactic motion of eukaryotic cells in a chemical gradient. Our model is based on observations of the chemotactic motion of the social ameba Dictyostelium discoideum, a model organism for eukaryotic chemotaxis. A large number of cell trajectories in stationary, linear chemoattractant gradients is measured, using microfluidic tools in combination with automated cell tracking. We describe the directional motion as the interplay between deterministic and stochastic contributions based on a Langevin equation. The functional form of this equation is directly extracted from experimental data by angle-resolved conditional averages. It contains quadratic deterministic damping and multiplicative noise. In the presence of an external gradient, the deterministic part shows a clear angular dependence that takes the form of a force pointing in gradient direction. With increasing gradient steepness, this force passes through a maximum that coincides with maxima in both speed and directionality of the cells. The stochastic part, on the other hand, does not depend on the orientation of the directional cue and remains independent of the gradient magnitude. Numerical simulations of our probabilistic model yield quantitative agreement with the experimental distribution functions. Thus our model captures well the dynamics of chemotactic cells and can serve to quantify differences and similarities of different chemotactic eukaryotes. Finally, on the basis of our model, we can characterize the heterogeneity within a population of chemotactic cells.

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Language(s): eng - English
 Dates: 2012-05-25
 Publication Status: Published in print
 Pages: -
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 Table of Contents: -
 Rev. Method: Peer
 Identifiers: eDoc: 635532
DOI: 10.1371/journal.pone.0037213
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Title: PLoS ONE
Source Genre: Journal
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Pages: - Volume / Issue: 7 Sequence Number: - Start / End Page: e37213-1 - e37213-11 Identifier: -