This book discusses modelling and analysis of Magnetic Resonance Imaging (MRI) data of the human brain. For the data processing pipelines we rely on R, the software environment for statistical computing and graphics. The book is intended for readers from two communities: Statisticians, who are interested in neuroimaging and look for an introduction to the acquired data and typical scientific problems in the field and neuroimaging students, who want to learn about the statistical modeling and analysis of MRI data. Being a practical introduction, the book focuses on those problems in data analysis for which implementations within R are available. By providing full worked-out examples the book thus serves as a tutorial for MRI analysis with R, from which the reader can derive its own data processing scripts. The book starts with a short introduction into MRI. The next chapter considers the process of reading and writing common neuroimaging data formats to and from the Rsession. The main chapters then cover four common MR imaging modalities and their data modeling and analysis problems: functional MRI, diffusion MRI, Multi-Parameter Mapping and Inversion Recovery MRI. The book concludes with extended Appendices on details of the utilize non-parametric statistics and on resources for R and MRI data. The book also addresses the issues of reproducibility and topics like data organization and description, open data and open science. It completely relies on a dynamic report generation with knitr: The books R-code and intermediate results are available for reproducibility of the examples.

Autorentext

Jörg Polzehl has retired in 2022 after 25 years as research associate at the Weierstrass Institute for Applied Analysis and Stochastics (WIAS) in Berlin, Germany. He holds a PhD in mathematics from Humboldt University Berlin. His main research interests are in computational and nonparametric statistics, with a focus on statistical modeling and data analysis in medical imaging. He has been elected as a Fellow of the Institute of Mathematical Statistics (IMS) and has been a longtime member of the American Statistical Association (ASA) and the Organization of Human Brain Mapping (OHBM).Karsten Tabelow is a (particle) physisist by training who currently works as a data scientist at the Weierstrass Institute for Applied Analysis and Stochastics (WIAS) in Berlin, Germany. He is interested in Magnetic Resonance Imaging data of the human brain and considers data modeling and analysis problems with a focus on structural adaptive smoothing methods and biophysical models. He is also interested in reconstruction problems from physics-based imaging modalities. He is a member of the OHBM. Finally, he contributes to the discussion on Open Science and Research Data Handling especially within mathematics. Within the Mathematical Research Data Initiative (MaRDI) with the German National Research Data Infrastructure (NFDI) he is one of the strategic developers of the consortium and a leader of the MaRDI working group at WIAS.

Both authors have jointly coauthored several R packages for the analysis of Magnetic Resonance Imaging data.