King's College London

Research portal

Gaussian process manifold interpolation for probabilistic atrial activation maps and uncertain conduction velocity

Research output: Contribution to journalArticle

Sam Coveney, Cesare Corrado, Caroline H. Roney, Daniel O'Hare, Steven E. Williams, Mark D. O'Neill, Steven A. Niederer, Richard H. Clayton, Jeremy E. Oakley, Richard D. Wilkinson

Original languageEnglish
Number of pages1
JournalPhilosophical transactions. Series A, Mathematical, physical, and engineering sciences
Issue number2173
Publication statusPublished - 12 Jun 2020

King's Authors


In patients with atrial fibrillation, local activation time (LAT) maps are routinely used for characterizing patient pathophysiology. The gradient of LAT maps can be used to calculate conduction velocity (CV), which directly relates to material conductivity and may provide an important measure of atrial substrate properties. Including uncertainty in CV calculations would help with interpreting the reliability of these measurements. Here, we build upon a recent insight into reduced-rank Gaussian processes (GPs) to perform probabilistic interpolation of uncertain LAT directly on human atrial manifolds. Our Gaussian process manifold interpolation (GPMI) method accounts for the topology of the atrium, and allows for calculation of statistics for predicted CV. We demonstrate our method on two clinical cases, and perform validation against a simulated ground truth. CV uncertainty depends on data density, wave propagation direction and CV magnitude. GPMI is suitable for probabilistic interpolation of other uncertain quantities on non-Euclidean manifolds. This article is part of the theme issue 'Uncertainty quantification in cardiac and cardiovascular modelling and simulation'.

View graph of relations

© 2018 King's College London | Strand | London WC2R 2LS | England | United Kingdom | Tel +44 (0)20 7836 5454