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Spatial stochastic molecular simulations in biology are limited by theintense computation required to track molecules in space either in a discretetime or discrete space framework, meaning that the serial limit has alreadybeen reached in sub-cellular models. This calls for parallel simulations thatcan take advantage of the power of modern supercomputers; however exact methodsare known to be inherently serial. We introduce an operator splittingimplementation for irregular grids with a novel method to improve accuracy, anddemonstrate potential for scalable parallel simulations in an initial MPIversion. We foresee that this groundwork will enable larger scale, whole-cellstochastic simulations in the near future.

Accurate Reaction-Diffusion Operator Splitting on Tetrahedral Meshes for Parallel Stochastic Molecular Simulations