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Belov, A.P.; Giles, J. D.

doi:10.1023/a:1003049629490

Cited by 23 publications

(6 citation statements)

References 15 publications

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“…However, the predefined velocity models still follow the correct shape of the MRD over the entire study period (Figure S5 in Supplementary while the dynamic velocity models tend to under-predict the MRD during the final several hours (Figure S6 in Supplementary Materials). As with models in the continuum framework, chlorophyll a was best predicted by the Belov and Giles [4] model. In the vertical concentration time-series plots, the predefined velocity models show more diffusion than the dynamic velocity models (Figures S7 and S8 in Supplementary Materials).…”

Section: Shennong Stream Enclosurementioning

confidence: 87%

“…Belov and Giles [4] developed one such model based on principles of light-dependent buoyancy regulation. However, they used a predetermined colony velocity rather than the dynamic settling velocity approach of the above models.…”

Section: Models Of Vertical Migrationmentioning

confidence: 99%

“…A slightly more complex approach is to assume a velocity function that is dependent on space as well as time, as in Belov and Giles [4]. Modifying Equation (13) to use the same notation as Equation ( 22) gives:…”

Section: Predefined Velocitymentioning

confidence: 99%

“…Some are able to move vertically in the water column by their own motility, independent of water velocity [3]. The vertical migration of species such as Microcystis aeruginosa, Oscillatoria agardhii, and Anabaena flos-aqua can lead to HABs when colonies accumulate on a water surface and experience increased growth, causing degradation of water quality and environmental health [4].…”

Section: Introduction 1backgroundmentioning

confidence: 99%

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Modeling Cyanobacteria Vertical Migration

Overman

Wells

2022

Water

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Cyanobacteria often cause harmful algal blooms and release toxic substances that can harm humans and animals. Accurately modeling these phytoplankton is a step towards predicting, preventing, and controlling such blooms. Certain cyanobacteria species are known to migrate vertically in the water column on a daily cycle. Capturing this behavior is one aspect of modeling their dynamics. Previous studies on modeling cyanobacterial vertical migration are reviewed and summarized. Several models of cyanobacteria vertical movement are tested using data from field studies. These models are applied using both continuum and particle-tracking frameworks. Models range in complexity from simple functions of time to more complicated calculations of cyanobacteria buoyancy. Simple models were often able to predict cyanobacteria migration at low values of vertical diffusion in both types of modeling frameworks. More complicated models of buoyancy change performed better in the particle-tracking framework than in the continuum framework. Analysis of the models developed and tested provides information on the applicability of these models in more complex hydrodynamic and water quality models.

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Section: Shennong Stream Enclosurementioning

confidence: 87%

Section: Models Of Vertical Migrationmentioning

confidence: 99%

Section: Predefined Velocitymentioning

confidence: 99%

Section: Introduction 1backgroundmentioning

confidence: 99%

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Modeling Cyanobacteria Vertical Migration

Overman

Wells

2022

Water

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“…In biological applications, continuous models have been used to describe oceanic microbial cycles 4 , microbial growth dynamics 53 , the spread of species through an ecosystem 57 , continuous biofilms 62 , and periodic fungal or microbial structures 26 . (Many other examples of the use of PDEs in biological applications can be found in refs.…”

Section: Introductionmentioning

confidence: 99%

Biological Lattice Gas Models

Alber

Kiskowski

Jiang

et al. 2004

World Scientific Series on Nonlinear Science Series B

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Modelling pattern formation and morphogenesis are fundamental problems in biology. One useful approach involves lattice gases (LGCA) systems. This paper reviews several stochastic lattice gas models for pattern formation in myxobacteria fruiting body morphogenesis and vertebrate limb skeletogenesis. The formation of fruiting bodies in myxobacteria is a complex morphological process that requires the organized, collective effort of tens of thousands of cells. Myxobacteria morphogenesis provides new insight into collective microbial behavior since morphogenic pattern formation is governed by cell-cell interactions rather than of chemotaxis. An model is described for the aggregation stage of fruiting body formation. Limb bud precartilage mesenchymal cells in micromass culture, undergo chondrogenic pattern formation which results in the formation of regularly-spaced "islands" of cartilage analogous to the cartilage primordia of the developing limb skeleton. An LGCA model is described for this process based on reaction-diffusion coupling and cell-matrix adhesion.

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Agent-Based Model for Developmental Pattern Formation with Multiscale Dynamics and Varying Cell Geometry

Christley

Newman

Alber

Mathematical Modeling of Biological Systems

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Untitled

Cited by 23 publications

References 15 publications

Modeling Cyanobacteria Vertical Migration

Modeling Cyanobacteria Vertical Migration

Biological Lattice Gas Models

Agent-Based Model for Developmental Pattern Formation with Multiscale Dynamics and Varying Cell Geometry

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