Reservoir approach schematics and validation. Michael Pablo Samuel A. Ramirez Timothy C. Elston 10.1371/journal.pcbi.1006016.g007 https://plos.figshare.com/articles/figure/Reservoir_approach_schematics_and_validation_/5973190 <p><b>(A)</b> Molecules can diffuse in and out of the reservoir. Although distinct molecules are shown for illustration, the reservoir is perfectly mixed. <b>(B)</b> Particles at a depth <i>z</i> must diffuse a distance of either <i>z</i><sub><i>impl</i></sub>—<i>z</i> to enter, or <i>z</i>–<i>z</i><sub><i>impl</i></sub> to exit, the explicit simulation domain. The integrals are solved numerically over discrete slices with thickness Δz. <b>(C)</b> Time courses of the number of molecules in the explicit domain, comparing our approach and a non-reactive Brownian dynamics simulation. The shaded regions represent the mean±1 S.D. over 5 realizations. <b>(D)</b> Time-averaged comparisons, mean±1 S.D. of fluctuations, over 500s, 1 realization.</p> 2018-03-12 17:26:59 polarity establishment membrane fluctuations speed polarity establishment macroscopic rate constants reaction-diffusion equation simulations Turing pattern formation Polarity establishment Cdc 42 abundances particle-based simulations yeast polarity establishment yeast polarization molecule Rho GTPase Cdc 42 model