@article{90631, keywords = {Diffusion, Computer Simulation, Escherichia coli, Binding Sites, Models, Biological, Protein Binding, Escherichia coli Proteins, Models, Statistical, Protein Transport, Adenosine Triphosphatases, Membrane Fusion, Models, Chemical}, author = {Rahul Kulkarni and Kerwyn Casey Huang and Morten Kloster and Ned Wingreen}, title = {Pattern formation within Escherichia coli: diffusion, membrane attachment, and self-interaction of MinD molecules.}, abstract = { In E. coli, accurate cell division depends upon the oscillation of Min proteins from pole to pole. We provide a model for the polar localization of MinD based only on diffusion, a delay for nucleotide exchange, and different rates of attachment to the bare membrane and the occupied membrane. We derive analytically the probability density, and correspondingly the length scale, for MinD attachment zones. Our simple analytical model illustrates the processes giving rise to the observed localization of cellular MinD zones. }, year = {2004}, journal = {Phys Rev Lett}, volume = {93}, pages = {228103}, month = {11/2004}, issn = {0031-9007}, doi = {10.1103/PhysRevLett.93.228103}, language = {eng}, }