In our research, we have applied information theory to chemical pattern formation, often called chemical self-organising systems. Here self-organisation refers to a system that spontaneously builds up or sustain spatio-temporal structure in the form of concentration variations. The patterns formed and the dynamics is not controlled by anything outside the system. The first theoretical investigation of chemical pattern formation was done by Alan Turing in his classic paper (1952), where he demonstrated that simple mechanisms in reaction-diffusion dynamics can account for symmetry breaking necessary for morhogenesis. Self-organising systems, or dissipative structures, that also go beyond chemical pattern formation have been extensively studied by, for example, Prigogine and Nicolis (1977) and Haken (1984). A detailed presentation with the information-theoretic formalism is available in (Lindgren, 2008). Below follows and overview and an illustration of the formalism applied to the Gray-Scott model of self-replicating spots. At the end we also describe a formalism applicable to reversible microscopic dynamics (Helvik et al 2007).