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

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

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...

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Main Authors: Waipot Ngamsaad, Paisan Kanthang, Charin Modchang, Somchai Sriyab, Wannapong Triampo
Other Authors: Mahidol University
Format: Article
Published: 2018
Subjects:
Mathematics
Online Access:https://repository.li.mahidol.ac.th/handle/123456789/29322
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spelling th-mahidol.293222018-09-24T16:12:15Z The effect of boundary conditions on the mesoscopic lattice Boltzmann method: Case study of a reaction-diffusion based model for Min-protein oscillation Waipot Ngamsaad Paisan Kanthang Charin Modchang Somchai Sriyab Wannapong Triampo Mahidol University Mathematics 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. 2018-09-24T09:12:15Z 2018-09-24T09:12:15Z 2010-11-15 Article Applied Mathematics and Computation. Vol.217, No.6 (2010), 2339-2347 10.1016/j.amc.2010.07.033 00963003 2-s2.0-77957978078 https://repository.li.mahidol.ac.th/handle/123456789/29322 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77957978078&origin=inward
institution Mahidol University
building Mahidol University Library
continent Asia
country Thailand
Thailand
content_provider Mahidol University Library
collection Mahidol University Institutional Repository
topic Mathematics
spellingShingle Mathematics
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
description 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.
author2 Mahidol University
author_facet Mahidol University
Waipot Ngamsaad
Paisan Kanthang
Charin Modchang
Somchai Sriyab
Wannapong Triampo
format Article
author Waipot Ngamsaad
Paisan Kanthang
Charin Modchang
Somchai Sriyab
Wannapong Triampo
author_sort Waipot Ngamsaad
title The effect of boundary conditions on the mesoscopic lattice Boltzmann method: Case study of a reaction-diffusion based model for Min-protein oscillation
title_short The effect of boundary conditions on the mesoscopic lattice Boltzmann method: Case study of a reaction-diffusion based model for Min-protein oscillation
title_full The effect of boundary conditions on the mesoscopic lattice Boltzmann method: Case study of a reaction-diffusion based model for Min-protein oscillation
title_fullStr The effect of boundary conditions on the mesoscopic lattice Boltzmann method: Case study of a reaction-diffusion based model for Min-protein oscillation
title_full_unstemmed The effect of boundary conditions on the mesoscopic lattice Boltzmann method: Case study of a reaction-diffusion based model for Min-protein oscillation
title_sort effect of boundary conditions on the mesoscopic lattice boltzmann method: case study of a reaction-diffusion based model for min-protein oscillation
publishDate 2018
url https://repository.li.mahidol.ac.th/handle/123456789/29322
_version_ 1763493611277647872

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