2004
DOI: 10.1142/s0219477504001756
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Random Walk Theory Applied to Daphnia Motion

Abstract: The zooplankton Daphnia or "water flea" — one of the most common crustacean to be found in freshwater — is subject to recent studies. It is known to perform vortex motions under certain light conditions as well as more complex navigational tasks. Experimental data show that Daphnia move with a preferred turning angle, what is of main interest in this paper. The above-mentioned experimental fact is taken in order to derive a diffusion law for these types of motion. Deviations from the free diffusive behavior ar… Show more

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Cited by 50 publications
(57 citation statements)
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“…First, it is difficult to imagine a scanning mechanism evolved to mold angular statistical correlations at scales much larger than the scales of the detection process itself. Second, and more importantly, several studies suggest that if animals have some degree of control on angular correlations, this aptitude would only be relevant at short scales (e.g., patch exploitation) (27,34,35). In the long run, the correlations generated by scanning behavior can either vanish (as in CRW processes; e.g., refs.…”
Section: Discussionmentioning
confidence: 99%
“…First, it is difficult to imagine a scanning mechanism evolved to mold angular statistical correlations at scales much larger than the scales of the detection process itself. Second, and more importantly, several studies suggest that if animals have some degree of control on angular correlations, this aptitude would only be relevant at short scales (e.g., patch exploitation) (27,34,35). In the long run, the correlations generated by scanning behavior can either vanish (as in CRW processes; e.g., refs.…”
Section: Discussionmentioning
confidence: 99%
“…This diffusion coefficient if of central interest [247] in certain problems e.g. in ecology and has received renewed attention recently [231,195,302,214,215,268]. It was proposed to be the central interest since an optimally selected diffusion coefficient might give an advantage in the search for food [128,75,76].…”
Section: Angular Dynamics Of Active Brownian Particlesmentioning
confidence: 99%
“…This active fluctuations are a pure far-from equilibrium phenomenon and are relevant in the motion of an biological agents or artificial self-propelled particles. The origin of these fluctuations can be for example variations in the propulsion of chemically powered colloids [260,164,295], complex intra-cellular processes in cell motility [313,41] or unresolved internal decision processes in animals [245,195,26]. For example, the motion of a macroscopic animal moving in a homogeneous environment, where the fluctuations due the environment can be assumed as negligible, may nevertheless appear random to an external observer.…”
Section: Particles Driven By Active Fluctuationsmentioning
confidence: 99%
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