Research Article

Systems and Synthetic Biology

, Volume 4, Issue 1, pp 35-53

First online:

Open Access This content is freely available online to anyone, anywhere at any time.

A new multicompartmental reaction-diffusion modeling method links transient membrane attachment of E. coli MinE to E-ring formation

  • Satya Nanda Vel ArjunanAffiliated withInstitute for Advanced Biosciences, Keio UniversitySystems Biology Program, Graduate School of Media and Governance, Keio University Email author 
  • , Masaru TomitaAffiliated withInstitute for Advanced Biosciences, Keio UniversitySystems Biology Program, Graduate School of Media and Governance, Keio UniversityDepartment of Environment and Information, Keio University


Many important cellular processes are regulated by reaction-diffusion (RD) of molecules that takes place both in the cytoplasm and on the membrane. To model and analyze such multicompartmental processes, we developed a lattice-based Monte Carlo method, Spatiocyte that supports RD in volume and surface compartments at single molecule resolution. Stochasticity in RD and the excluded volume effect brought by intracellular molecular crowding, both of which can significantly affect RD and thus, cellular processes, are also supported. We verified the method by comparing simulation results of diffusion, irreversible and reversible reactions with the predicted analytical and best available numerical solutions. Moreover, to directly compare the localization patterns of molecules in fluorescence microscopy images with simulation, we devised a visualization method that mimics the microphotography process by showing the trajectory of simulated molecules averaged according to the camera exposure time. In the rod-shaped bacterium Escherichia coli, the division site is suppressed at the cell poles by periodic pole-to-pole oscillations of the Min proteins (MinC, MinD and MinE) arising from carefully orchestrated RD in both cytoplasm and membrane compartments. Using Spatiocyte we could model and reproduce the in vivo MinDE localization dynamics by accounting for the previously reported properties of MinE. Our results suggest that the MinE ring, which is essential in preventing polar septation, is largely composed of MinE that is transiently attached to the membrane independently after recruited by MinD. Overall, Spatiocyte allows simulation and visualization of complex spatial and reaction-diffusion mediated cellular processes in volumes and surfaces. As we showed, it can potentially provide mechanistic insights otherwise difficult to obtain experimentally.


E-ring FtsZ Diffusion-limited Bacterial cytoskeleton Multiscale Noise Spatial gradient E-Cell