These field names are very new and their scopes are not strictly defined. I think they are two names for the same branch of science. For me, neuroscience seems to have a little wider scope, including some elements of neurology, and neurobiology is rather pure basic research. I think it is impossible to say right now, which name will be more important in the future.
Neuroscience collaborates with many scientific branches, which greatly expand their scope. Currently in the field of neuroscience more than these branches are interested in a number of advanced sciences that have a long history. These sections include for example chemistry, physics, psychology, mathematics, medicine, computer science and engineering. Some advanced neurodegenerative technologies that help to uncover the secrets of brain activity, sensation, memory, ability to learn, perceive, sleep,