1 Broad Institute of MIT and Harvard, Cambridge, MA, USA.
2 Department of Computer Science, Aalto University, Espoo, Finland.
3 Department for Computational Biology of Infection Research, Helmholtz Center for Infection Research, Brunswick, Germany.
4 Max von Pettenkofer-Institute for Hygiene and Clinical Microbiology, Ludwig-Maximilian University of Munich, Munich, Germany.
5 Analytical Sciences and Imaging, Novartis Institutes for BioMedical Research, Basel, Switzerland.
6 Chemical Biology and Therapeutics, Novartis Institutes for BioMedical Research, Cambridge, MA, USA.
7 Center for Computational and Integrative Biology, Massachusetts General Hospital and Harvard Medical School, Boston, MA, USA.
8 Children's Hospital, University of Helsinki and Helsinki University Hospital, Helsinki, Finland.
9 Research Programs Unit, Diabetes and Obesity, University of Helsinki, Helsinki, Finland.
10 Department of Pediatrics, Tampere University Hospital, Tampere, Finland.
11 Department of Public Health Solutions, National Institute for Health and Welfare, Helsinki, Finland.
12 Faculty of Social Sciences/Health Sciences, University of Tampere, Tampere, Finland.
13 Science Centre, Pirkanmaa Hospital District and Research Center for Child Health, University Hospital, Tampere, Finland.
14 Immunogenetics Laboratory, University of Turku, Turku, Finland.
15 Clinical Microbiology, Turku University Hospital, Turku, Finland.
16 Department of Immunology, Institute of Biomedicine and Translational Medicine, University of Tartu, Tartu, Estonia.
17 Department of Pediatrics, University of Tartu and Tartu University Hospital, Tartu, Estonia.
18 Ministry of Health and Social Development, Karelian Republic of the Russian Federation, Petrozavodsk, Russia.
19 Petrozavodsk State University, Department of Family Medicine, Petrozavodsk, Russia.
20 Department of Biostatistics, Harvard T.H. Chan School of Public Health, Boston, MA, USA.
21 Folkhälsan Research Center, Helsinki, Finland.
22 Broad Institute of MIT and Harvard, Cambridge, MA, USA. xavier@molbio.mgh.harvard.edu.
23 Center for Computational and Integrative Biology, Massachusetts General Hospital and Harvard Medical School, Boston, MA, USA. xavier@molbio.mgh.harvard.edu.
24 Gastrointestinal Unit, and Center for the Study of Inflammatory Bowel Disease, Massachusetts General Hospital and Harvard Medical School, Boston, MA, USA. xavier@molbio.mgh.harvard.edu.
25 Center for Microbiome Informatics and Therapeutics, MIT, Cambridge, MA, USA. xavier@molbio.mgh.harvard.edu.
In the version of this Article originally published, in the first sentence of the second paragraph of the Discussion section, the word "operingrationally" should have read "operationally". This has now been amended in all versions of the Article.