Mathematical modeling from ion channel to ECG
Invited lecture, Seminar on High-Resolution ECG Mapping Warsaw, Int. Centre of Biocybernetics, October 2007.
High-resolution, multichannel electrocardiography (HRECG) and mathematical simulation are tightly linked subjects. On the one hand, HRECG provides ideal data to validate mathematical models of heart activity. On the other, models help us to understand how ECG changes are related to underlying pathology, something that cannot be discovered using measurement alone.
This presentation is an introduction into the field of mathematical ECG modeling. I will in the first place explain why I think that modeling is indispensable. After a brief survey of the development of the field, I will use some examples from my own recent work to show what is possible with state-of-the-art reaction-diffusion and bidomain models of the human heart.
Computational resources for this work were provided by the Réseau québécois de calcul de haute performance (RQCHP). The author gratefully acknowledges financial support from the Research Center of Sacré-Coeur Hospital, Montréal, Québec, Canada; and The Netherlands Heart Foundation (NHS) grant 2005B092.
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