Journal article

Bond graph modelling of the cardiac action potential: implications for drift and non-unique steady states

Michael Pan, Peter J Gawthrop, Kenneth Tran, Joseph Cursons, Edmund J Crampin

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | ROYAL SOC | Published : 2018

Abstract

Mathematical models of cardiac action potentials have become increasingly important in the study of heart disease and pharmacology, but concerns linger over their robustness during long periods of simulation, in particular due to issues such as model drift and non-unique steady states. Previous studies have linked these to violation of conservation laws, but only explored those issues with respect to charge conservation in specific models. Here, we propose a general and systematic method of identifying conservation laws hidden in models of cardiac electrophysiology by using bond graphs, and develop a bond graph model of the cardiac action potential to study long-term behaviour. Bond graphs p..

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Grants

Awarded by Heart Foundation of New Zealand


Awarded by Marsden Fund Council


Awarded by Australian Research Council Discovery Projects funding scheme


Funding Acknowledgements

M.P. acknowledges the financial support provided by an Australian Government Research Training Program Scholarship. P.J.G. thanks the Melbourne School of Engineering for its support via a Professorial Fellowship. K.T. is supported by the Heart Foundation of New Zealand (Research Fellowship 1692) and the Marsden Fund Council from Government funding, managed by Royal Society Te Aparangi (Marsden Fast-Start UOA1703. This research was in part conducted and funded by the Australian Research Council Discovery Projects funding scheme (project DP170101358).