  To investigate novel aspects of pattern formation in spin systems, we use a
mapping between reactive concentrations in a reaction-diffusion system and spin
orientations in a dynamic multiple-spin Ising model. While pattern formation in
Ising models always rely on infinite-range interactions, this mapping allows us
to design an finite-range interactions Ising model that can produce patterns
observed in reaction diffusion systems including Turing patterns with a tunable
typical length scale. This model has asymmetric interactions and several spin
types coexisting at a site. While we use the example of genetic regulation
during embryo-genesis to build our model, it can be used to study the behavior
of other complex systems of interacting agents.
