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

dc.contributor.authorWaipot Ngamsaaden_US
dc.contributor.authorPaisan Kanthangen_US
dc.contributor.authorCharin Modchangen_US
dc.contributor.authorSomchai Sriyaben_US
dc.contributor.authorWannapong Triampoen_US
dc.contributor.otherMahidol Universityen_US
dc.date.accessioned2018-09-24T09:12:15Z
dc.date.available2018-09-24T09:12:15Z
dc.date.issued2010-11-15en_US
dc.description.abstractMin-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.en_US
dc.identifier.citationApplied Mathematics and Computation. Vol.217, No.6 (2010), 2339-2347en_US
dc.identifier.doi10.1016/j.amc.2010.07.033en_US
dc.identifier.issn00963003en_US
dc.identifier.other2-s2.0-77957978078en_US
dc.identifier.urihttps://repository.li.mahidol.ac.th/handle/20.500.14594/29322
dc.rightsMahidol Universityen_US
dc.rights.holderSCOPUSen_US
dc.source.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77957978078&origin=inwarden_US
dc.subjectMathematicsen_US
dc.titleThe effect of boundary conditions on the mesoscopic lattice Boltzmann method: Case study of a reaction-diffusion based model for Min-protein oscillationen_US
dc.typeArticleen_US
dspace.entity.typePublication
mu.datasource.scopushttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77957978078&origin=inwarden_US

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