Publication:
The effect of boundary conditions on the mesoscopic lattice Boltzmann method: Case study of a reaction-diffusion based model for Min-protein oscillation

Issued Date

2010-11-15

Resource Type

Article

ISSN

00963003

DOI

10.1016/j.amc.2010.07.033

Other identifier(s)

2-s2.0-77957978078

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Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Applied Mathematics and Computation. Vol.217, No.6 (2010), 2339-2347

Suggested Citation

Waipot Ngamsaad, Paisan Kanthang, Charin Modchang, Somchai Sriyab, Wannapong Triampo The effect of boundary conditions on the mesoscopic lattice Boltzmann method: Case study of a reaction-diffusion based model for Min-protein oscillation. Applied Mathematics and Computation. Vol.217, No.6 (2010), 2339-2347. doi:10.1016/j.amc.2010.07.033 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/29322

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Title

The effect of boundary conditions on the mesoscopic lattice Boltzmann method: Case study of a reaction-diffusion based model for Min-protein oscillation

Author(s)

Waipot Ngamsaad
 Paisan Kanthang
 Charin Modchang
 Somchai Sriyab
 Wannapong Triampo

Other Contributor(s)

Mahidol University

Abstract

Min-protein oscillation in Escherichia coli has an essential role in controlling the accurate placement of the cell division septum at the middle-cell zone of the bacteria. This biochemical process has been successfully described by a set of reaction-diffusion equations at the macroscopic level. The lattice Boltzmann method (LBM) has been used to simulate Min-protein oscillation and proved to recover the correct macroscopic equations. In this present work, we studied the effects of LBM boundary conditions (BC) on Min-protein oscillation. The impact of diffusion and reaction dynamics on BCs was also investigated. It was found that the mirror-image BC is a suitable boundary treatment for this Min-protein model. The physical significance of the results is extensively discussed. © 2010 Elsevier Inc. All rights reserved.

Keyword(s)

Mathematics

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URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/29322

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Scopus 2006-2010