Diffusive transport in Stokeslet flow and its application to plankton ecology

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

In this paper we consider the advective/diffusive transport of a solute near a hovering zooplankter. We approximate the fluid flow with that of a Stokeslet, corresponding to the plankter exerting a point force on the water, and assume that the plankter acts as a point source for the transported solute, located at the same point as the force. We find an analytical expression in closed form for the steady-state concentration of the solute. We also discuss the situation where the plankter performs Brownian motion. Finally we apply the results to the courtship of the marine copepod Pseudocalanus elongatus, where the male performs a mating dance below the hovering female. For this situation, our model supports the hypothesis that the mating dance is guided by the plume of a signalling pheromone.
Original languageEnglish
JournalJournal of Mathematical Biology
Volume53
Issue number1
Pages (from-to)1-14
ISSN0303-6812
DOIs
Publication statusPublished - 2006

Cite this

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title = "Diffusive transport in Stokeslet flow and its application to plankton ecology",
abstract = "In this paper we consider the advective/diffusive transport of a solute near a hovering zooplankter. We approximate the fluid flow with that of a Stokeslet, corresponding to the plankter exerting a point force on the water, and assume that the plankter acts as a point source for the transported solute, located at the same point as the force. We find an analytical expression in closed form for the steady-state concentration of the solute. We also discuss the situation where the plankter performs Brownian motion. Finally we apply the results to the courtship of the marine copepod Pseudocalanus elongatus, where the male performs a mating dance below the hovering female. For this situation, our model supports the hypothesis that the mating dance is guided by the plume of a signalling pheromone.",
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author = "Thygesen, {Uffe H{\o}gsbro} and Thomas Ki{\o}rboe",
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Diffusive transport in Stokeslet flow and its application to plankton ecology. / Thygesen, Uffe Høgsbro; Kiørboe, Thomas.

In: Journal of Mathematical Biology, Vol. 53, No. 1, 2006, p. 1-14.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Diffusive transport in Stokeslet flow and its application to plankton ecology

AU - Thygesen, Uffe Høgsbro

AU - Kiørboe, Thomas

PY - 2006

Y1 - 2006

N2 - In this paper we consider the advective/diffusive transport of a solute near a hovering zooplankter. We approximate the fluid flow with that of a Stokeslet, corresponding to the plankter exerting a point force on the water, and assume that the plankter acts as a point source for the transported solute, located at the same point as the force. We find an analytical expression in closed form for the steady-state concentration of the solute. We also discuss the situation where the plankter performs Brownian motion. Finally we apply the results to the courtship of the marine copepod Pseudocalanus elongatus, where the male performs a mating dance below the hovering female. For this situation, our model supports the hypothesis that the mating dance is guided by the plume of a signalling pheromone.

AB - In this paper we consider the advective/diffusive transport of a solute near a hovering zooplankter. We approximate the fluid flow with that of a Stokeslet, corresponding to the plankter exerting a point force on the water, and assume that the plankter acts as a point source for the transported solute, located at the same point as the force. We find an analytical expression in closed form for the steady-state concentration of the solute. We also discuss the situation where the plankter performs Brownian motion. Finally we apply the results to the courtship of the marine copepod Pseudocalanus elongatus, where the male performs a mating dance below the hovering female. For this situation, our model supports the hypothesis that the mating dance is guided by the plume of a signalling pheromone.

KW - Erhvervsfiskeri

U2 - 10.1007/s00285-006-0374-6

DO - 10.1007/s00285-006-0374-6

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JO - Journal of Mathematical Biology

JF - Journal of Mathematical Biology

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