Neuroinformatics:
Neuroinformatics is a scientific study of information processing by nervous systems from a computational prospect. It is related with philosophy (computational theory of mind), psychology (information processing theory), computer science (natural computing, bio-inspired computing), among others.
Computational Neuroscience:
Computational neuroscience (also known as theoretical neuroscience or mathematical neuroscience) is a branch of neuroscience which utilizes mathematical models, theoretical analysis and abstractions of the brain to understand the principles that monitor the growth, composition, physiology and cognitive capacity of the nervous system. Computational neuroscience mainly targets on the description of biologically plausible neurons (and neural systems) and their physiology and dynamics, and it is therefore not directly concerned with biologically unrealistic models used in connectionism, control theory, cybernetics, quantitative psychology, machine learning, artificial neural networks, artificial intelligence and computational learning theory.