Parallel Stochastic Simulation of Cell-Cell Communication with Spatially Resolved Reaction-Diffusion Kinetics

Adrien Coulier
Scientific Computing
Department of Information Technology, Uppsala University


Abstract:

Stochastic simulations are essential to the study of biological cells, yet there is no computational framework allowing for detailed spatial simulations of genetic regulatory network within large populations of cells.

We fill this gap by developing a parallel multiscale framework capable of spatially resolved stochastic simulation of cell-cell signaling in multicellular systems, as well as cell mechanics. We use an operator-splitting method to decouple the internal reaction-diffusion kinetics from the interactions on the cells' boundaries and the physical mechanics between the cells, and allow for efficient and horizontally scalable simulations of large numbers of interacting cells. Our framework is highly compatible with many existing methods and allows for hybrid simulation where both coarse and detailed models can be considered at the same time. It is also greatly versatile and deployable on various high performance computing platforms, such as clusters or clouds.

We open the discussion regarding the potential of this framework and the potential technical issues that might be encountered along the way.

''Additional literature'': Perspective: Stochastic algorithms for chemical kinetics: https://aip.scitation.org/doi/pdf/10.1063/1.4801941 Comparing individual-based approaches to modelling the self-organization of multicellular tissues: http://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1005387