Waipot NgamsaadPaisan KanthangCharin ModchangSomchai SriyabWannapong TriampoMahidol University2018-09-242018-09-242010-11-15Applied Mathematics and Computation. Vol.217, No.6 (2010), 2339-2347009630032-s2.0-77957978078https://repository.li.mahidol.ac.th/handle/20.500.14594/29322Min-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.Mahidol UniversityMathematicsArticleSCOPUS10.1016/j.amc.2010.07.033