Understanding the human brain is one of the greatest challenges of the 21st century. Today, for the first time, modern ICT has brought these goals within sight: Many areas of science and engineering have adopted simulation-based research as a novel tool for discovery and insight. The sustained performance growth in supercomputer performance allows ever more detailed models, which makes supercomputing nowadays also a viable tool for biology. The Swiss Blue Brain Project has been pioneering the use of supercomputers for detailed, integrative brain tissue modeling since 2005. This success paved the ground for the Human Brain Project, an EU FET Flagship project with more than 100 European and international research institutes. The goal of the HBP is to use ICT as a catalyst for a global collaborative effort to understand the human brain, its diseases and to derive novel computing technologies.