Abstract: How do we best visualize and understand the neural pathways and activity sites of the brain and their relation to genes and behavior? Building a brain imaging and informatics system that effectively serves the goal of answering this question remains an important scientific computing challenge that requires integration of all numeric and non-numeric approaches to computing. The presentation will discuss various examples ranging from mathematical image processing for computer aided diagnosis to non-numeric symbolic processing in data grid systems for clinical imaging trials. Such methods and tools must be integrated into a future scientific computing system for brain imaging that provides and utilizes a comprehensive array of computing components addressing all major aspects of computational imaging, integrating the necessary mathematics, statistics, numeric-based AI, semantic-based AI, software engineering (user interfaces), and systems engineering (networks).