The interdisciplinary research monograph, which has been peer-reviewed by several international experts assigned by Elsevier, introduces ground breaking original results in formal paradigms, architectures and laboratory implementations of computers based on travelling waves in reaction-diffusion media. The monograph brings together results of a decade-long study into designing experimental and simulated prototypes of reaction-diffusion computing devices for image processing, path planning, robot navigation, computational geometry, logics and artificial intelligence. The book has had impact in the field of massively parallel computing because of its comprehensive presentation of the theoretical and experimental foundations, and cutting-edge computation techniques, chemical laboratory experimental setups and hardware implementation technology employed in the development of novel nature-inspired computing devices. The monograph resulted from EPSRC grants GR/S63854/01 and EP/C004272/1.