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Stochastic Modeling of External Electric Field Effect on Escherichia Coli Min Protein Dynamics
Charin MODCHANG,Wannapong TRIAMPO,Paisan KANTHANG,Udorn JUNTHORN,Somrit UNAI,Waipot NGAMSAAD,Narin NUTTAVUT,Darapond TRIAMPO,Yongwirnon LENBURY 한국물리학회 2008 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.53 No.2
Cel division in Escherichia coli and other rod-shaped bacteria depends on the precise place- ment of a division septum at the cel center. The MinCDE system consisting of thre proteins, MinC, MinD, and MinE, controls acurate cel division at the center of the cel through pole-to- pole oscilation. With simplifying asumptions and relying on a deterministic model, we present a one-dimensional stochastic model that describes the effects of an external electric field on the MinCDE system. Computer simulations were performed to investigate the response of the oscila- tory dynamics to various strengths of the electric field and to the total number of Min proteins. A sufficient electric field strength was capable of interfering with MinCDE dynamics with posible changes to the cel division proces. Interestingly, effects of an electric field were found not to depend on the total number of Min proteins. The noise involved shifted the corect trend of Min proteins behavior. However, as a consequence of the robustnes of the dynamics, the oscilatory patern of the proteins stil existed even though the number of Min proteins was relatively low. When considering the corelations betwen the local and the global minimum (maximum) of MinD (MinE), the results suggest that using a high enough Min protein concentration wil reduce the localminimum(maximum)effect, which is related to the probability of polar division in each single oscilator cycle. Although this model is simple and neglects some complex mechanisms concerning protein oscilation in corelation with celdivision, it has ben demonstratedto be goodenough for positioning of the dividing site. Nevertheles, more experimental and theoretical studies are neded to provide a more realistic (but of course more complicated) model of bacterial cel division.