A deterministic agent-particle model for cellular diffusion, aggregation and self-organization

This paper presents an agent-based model of cellular proliferation, taxis and spatial diffusion. Our model describes the behavior of individual cells, rather than the aggregate behavior of cell distributions, derived from a set of partial differential equations. The physical motions of cells - taxis toward higher concentration of nutrients and diffusion in space - are handled in a deterministic way, which is a unique, distinctive feature of our model compared to other stochastic simulation models. The model is tested with some simple assumptions to show interesting self-organizing behaviors.