Before revision: The scientific study of consciousness is a new field which has emerged as a response to groundbreaking developments in neuroscience, cognitive psychology and analytic philosophy. Its aim is to develop a scientific account, formulated in terms of formal mathematical laws or regularities, of how conscious experience relates to  the physical domain (e. g. to brain processes).
After revision: In recent years, promising mathematical models have been suggested which aim to the physical domain (e. g. to brain processes).