# Phytoplankton Dynamics: from the Behavior of Cells to a Transport Equation

Mathematical Modelling of Natural Phenomena (2010)

- Volume: 1, Issue: 1, page 81-97
- ISSN: 0973-5348

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topRudnicki, R., and Wieczorek, R.. "Phytoplankton Dynamics: from the Behavior of Cells to a Transport Equation." Mathematical Modelling of Natural Phenomena 1.1 (2010): 81-97. <http://eudml.org/doc/222345>.

@article{Rudnicki2010,

abstract = {
We present models of the dynamics of
phytoplankton aggregates. We start with an individual-based model
in which aggregates can grow, divide, joint and move randomly.
Passing to infinity with the number of individuals, we obtain a
model which describes the space-size distribution of aggregates.
The density distribution function satisfies
a non-linear transport equation, which contains terms responsible for the
growth of phytoplankton aggregates, their fragmentation,
coagulation, and diffusion.
},

author = {Rudnicki, R., Wieczorek, R.},

journal = {Mathematical Modelling of Natural Phenomena},

keywords = {phytoplankton dynamics; formation of
aggregates; coagulation; fragmentation; diffusion},

language = {eng},

month = {3},

number = {1},

pages = {81-97},

publisher = {EDP Sciences},

title = {Phytoplankton Dynamics: from the Behavior of Cells to a Transport Equation},

url = {http://eudml.org/doc/222345},

volume = {1},

year = {2010},

}

TY - JOUR

AU - Rudnicki, R.

AU - Wieczorek, R.

TI - Phytoplankton Dynamics: from the Behavior of Cells to a Transport Equation

JO - Mathematical Modelling of Natural Phenomena

DA - 2010/3//

PB - EDP Sciences

VL - 1

IS - 1

SP - 81

EP - 97

AB -
We present models of the dynamics of
phytoplankton aggregates. We start with an individual-based model
in which aggregates can grow, divide, joint and move randomly.
Passing to infinity with the number of individuals, we obtain a
model which describes the space-size distribution of aggregates.
The density distribution function satisfies
a non-linear transport equation, which contains terms responsible for the
growth of phytoplankton aggregates, their fragmentation,
coagulation, and diffusion.

LA - eng

KW - phytoplankton dynamics; formation of
aggregates; coagulation; fragmentation; diffusion

UR - http://eudml.org/doc/222345

ER -

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