Corresponding author at: Interdisciplinary Complex Systems Group, School of Computing, Newcastle University, Newcastle upon Tyne, UK.; CNNP Lab (www.cnnp-lab.com), Interdisciplinary Complex Systems Group, School of Computing, Newcastle University, Newcastle upon Tyne, UK; Faculty of Medical Sciences, Newcastle University, Newcastle upon Tyne, UK; UCL Queen Square Institute of Neurology, London, UK
Karoline Leiberg
CNNP Lab (www.cnnp-lab.com), Interdisciplinary Complex Systems Group, School of Computing, Newcastle University, Newcastle upon Tyne, UK
Tobias Ludwig
Graduate Training Center of Neuroscience, University of Tübingen, Tübingen, Germany
Bethany Little
CNNP Lab (www.cnnp-lab.com), Interdisciplinary Complex Systems Group, School of Computing, Newcastle University, Newcastle upon Tyne, UK; Faculty of Medical Sciences, Newcastle University, Newcastle upon Tyne, UK
Joe H Necus
CNNP Lab (www.cnnp-lab.com), Interdisciplinary Complex Systems Group, School of Computing, Newcastle University, Newcastle upon Tyne, UK; Faculty of Medical Sciences, Newcastle University, Newcastle upon Tyne, UK
Gavin Winston
UCL Queen Square Institute of Neurology, London, UK; Department of Medicine, Division of Neurology, Queen’s University, Kingston, Canada; Epilepsy Society MRI Unit, Chalfont St Peter, UK
Sjoerd B Vos
UCL Queen Square Institute of Neurology, London, UK; Centre for Medical Image Computing (CMIC), University College London, London, UK; Epilepsy Society MRI Unit, Chalfont St Peter, UK
Jane de Tisi
UCL Queen Square Institute of Neurology, London, UK
John S Duncan
UCL Queen Square Institute of Neurology, London, UK; Epilepsy Society MRI Unit, Chalfont St Peter, UK
Peter N Taylor
CNNP Lab (www.cnnp-lab.com), Interdisciplinary Complex Systems Group, School of Computing, Newcastle University, Newcastle upon Tyne, UK; Faculty of Medical Sciences, Newcastle University, Newcastle upon Tyne, UK; UCL Queen Square Institute of Neurology, London, UK
Bruno Mota
Institute of Physics, Federal University of Rio de Janeiro, Brazil
Quantification of brain morphology has become an important cornerstone in understanding brain structure. Measures of cortical morphology such as thickness and surface area are frequently used to compare groups of subjects or characterise longitudinal changes. However, such measures are often treated as independent from each other. A recently described scaling law, derived from a statistical physics model of cortical folding, demonstrates that there is a tight covariance between three commonly used cortical morphology measures: cortical thickness, total surface area, and exposed surface area. We show that assuming the independence of cortical morphology measures can hide features and potentially lead to misinterpretations. Using the scaling law, we account for the covariance between cortical morphology measures and derive novel independent measures of cortical morphology. By applying these new measures, we show that new information can be gained; in our example we show that distinct morphological alterations underlie healthy ageing compared to temporal lobe epilepsy, even on the coarse level of a whole hemisphere. We thus provide a conceptual framework for characterising cortical morphology in a statistically valid and interpretable manner, based on theoretical reasoning about the shape of the cortex.