Rapid advances in non-invasive neuroimaging methods have revolutionized the possibilities to study changes occurring in living brain across a variety of time-scales ranging from seconds to an entire life span. A large part of these advances can be attributed to the development of dedicated computational algorithms and applied mathematics, which are essential to extract quantitative information from images. My group develops these computational methods to analyze the brain imaging data, evaluates the methods, for example, by using advanced simulations, and together with collaborators applies these methods to study the brain.