- About this Journal ·
- Abstracting and Indexing ·
- Advance Access ·
- Aims and Scope ·
- Annual Issues ·
- Article Processing Charges ·
- Articles in Press ·
- Author Guidelines ·
- Bibliographic Information ·
- Citations to this Journal ·
- Contact Information ·
- Editorial Board ·
- Editorial Workflow ·
- Free eTOC Alerts ·
- Publication Ethics ·
- Reviewers Acknowledgment ·
- Submit a Manuscript ·
- Subscription Information ·
- Table of Contents
Computational and Mathematical Methods in Medicine
Volume 2013 (2013), Article ID 706195, 20 pages
Optimisation of a Generic Ionic Model of Cardiac Myocyte Electrical Activity
Graduate School of Biomedical Engineering, University of New South Wales, Sydney, NSW 2052, Australia
Received 19 November 2012; Revised 11 February 2013; Accepted 18 February 2013
Academic Editor: Henggui Zhang
Copyright © 2013 Tianruo Guo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
- D. C. Sigg, P. A. Iaizzo, Y. F. Xiao, and B. He, Cardiac Electrophysiology Methods and Models, Springer, New York, NY, USA, 2010.
- R. L. Winslow, D. F. Scollan, A. Holmes, C. K. Yung, J. Zhang, and M. S. Jafri, “Electrophysiological modeling of cardiac ventricular function: from cell to organ,” Annual Review of Biomedical Engineering, vol. 2, no. 2000, pp. 119–155, 2000.
- M. Fink, S. A. Niederer, E. M. Cherry et al., “Cardiac cell modelling: observations from the heart of the cardiac physiome project,” Progress in Biophysics and Molecular Biology, vol. 104, no. 1–3, pp. 2–21, 2011.
- R. Fitzhugh, “Impulses and physiological states in theoretical models of nerve membrane,” Biophysical Journal, vol. 1, no. 6, pp. 445–466, 1961.
- A. L. Hodgkin and A. F. Huxley, “A quantitative description of membrane current and its application to conduction and excitation in nerve,” The Journal of Physiology, vol. 117, no. 4, pp. 500–544, 1952.
- M. Courtemanche, W. Skaggs, and A. T. Winfree, “Stable three-dimensional action potential circulation in the Fitzhugh-Nagumo model,” Physica D, vol. 41, no. 2, pp. 173–182, 1990.
- B. Y. Kogan, W. J. Karplus, B. S. Billett, A. T. Pang, H. S. Karagueuzian, and S. S. Khan, “The simplified FitzHugh-Nagumo model with action potential duration restitution: effects on 2D wave propagation,” Physica D, vol. 50, no. 3, pp. 327–340, 1991.
- R. R. Aliev and A. V. Panfilov, “A simple two-variable model of cardiac excitation,” Chaos, Solitons and Fractals, vol. 7, no. 3, pp. 293–301, 1996.
- M. P. Nash and A. V. Panfilov, “Electromechanical model of excitable tissue to study reentrant cardiac arrhythmias,” Progress in Biophysics and Molecular Biology, vol. 85, no. 2-3, pp. 501–522, 2004.
- C. H. Luo and Y. Rudy, “A model of the ventricular cardiac action potential. Depolarization, repolarization, and their interaction,” Circulation Research, vol. 68, no. 6, pp. 1501–1526, 1991.
- G. W. Beeler and H. Reuter, “Reconstruction of the action potential of ventricular myocardial fibres,” The Journal of Physiology, vol. 268, no. 1, pp. 177–210, 1977.
- F. H. Fenton and A. Karma, “Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: filament instability and fibrillation,” Chaos, vol. 8, no. 1, pp. 20–47, 1998.
- F. H. Fenton, E. M. Cherry, H. M. Hastings, and S. J. Evans, “Multiple mechanisms of spiral wave breakup in a model of cardiac electrical activity,” Chaos, vol. 12, no. 3, pp. 852–892, 2002.
- E. M. Cherry, J. R. Ehrlich, S. Nattel, and F. H. Fenton, “Pulmonary vein reentry—properties and size matter: insights from a computational analysis,” Heart Rhythm, vol. 4, no. 12, pp. 1553–1562, 2007.
- S. Nattel, B. Burstein, and D. Dobrev, “Atrial remodeling and atrial fibrillation: mechanisms and implications,” Circulation, vol. 1, no. 1, pp. 62–73, 2008.
- M. Courtemanche, R. J. Ramirez, and S. Nattel, “Ionic mechanisms underlying human atrial action potential properties: insights from a mathematical model,” The American Journal of Physiology, vol. 275, no. 1, pp. H301–H321, 1998.
- E. M. Cherry and F. H. Fenton, “A tale of two dogs: analyzing two models of canine ventricular electrophysiology,” The American Journal of Physiology, vol. 292, no. 1, pp. H43–H55, 2007.
- Z. S. Dastgheib, A. Azemi, M. Khademi et al., “Identification of ionic conductances in a reentry model of ventricular myocardium cells,” Journal of Applied Sciences, vol. 9, no. 3, pp. 555–560, 2009.
- Z. Syed, E. Vigmond, S. Nattel, and L. J. Leon, “Atrial cell action potential parameter fitting using genetic algorithms,” Medical and Biological Engineering and Computing, vol. 43, no. 5, pp. 561–571, 2005.
- S. Dokos and N. H. Lovell, “Parameter estimation in cardiac ionic models,” Progress in Biophysics and Molecular Biology, vol. 85, no. 2-3, pp. 407–431, 2004.
- I. Kodama, M. R. Boyett, M. R. Nikmaram, M. Yamamoto, H. Honjo, and R. Niwa, “Regional differences in effects of E-4031 within the sinoatrial node,” The American Journal of Physiology, vol. 276, no. 3, pp. H793–H802, 1999.
- B. Hille, Ion Channels of Excitable Membranes, Sinauer Associates, Sunderland, Mass, USA, 3rd edition, 2001.
- A. Bueno-Orovio, E. M. Cherry, and F. H. Fenton, “Minimal model for human ventricular action potentials in tissue,” Journal of Theoretical Biology, vol. 253, no. 3, pp. 544–560, 2008.
- E. M. Cherry and F. H. Fenton, “Suppression of alternans and conduction blocks despite steep APD restitution: electrotonic, memory, and conduction velocity restitution effects,” The American Journal of Physiology, vol. 286, no. 6, pp. H2332–H2341, 2004.
- K. H. W. J. T. Tusscher and A. V. Panfilov, “Alternans and spiral breakup in a human ventricular tissue model,” The American Journal of Physiology, vol. 291, no. 3, pp. H1088–H1100, 2006.
- D. S. Lindblad, C. R. Murphey, J. W. Clark, and W. R. Giles, “A model of the action potential and underlying membrane currents in a rabbit atrial cell,” The American Journal of Physiology, vol. 271, no. 4, pp. H1666–H1696, 1996.
- S. Dokos, B. Celler, and N. Lovell, “Ion currents underlying sinoatrial node pacemaker activity: a new single cell mathematical model,” Journal of Theoretical Biology, vol. 181, no. 3, pp. 245–272, 1996.
- S. Nattel, “New ideas about atrial fibrillation 50 years on,” Nature, vol. 415, no. 6868, pp. 219–226, 2002.
- N. H. Lovell, S. L. Cloherty, B. G. Celler, and S. Dokos, “A gradient model of cardiac pacemaker myocytes,” Progress in Biophysics and Molecular Biology, vol. 85, no. 2-3, pp. 301–323, 2004.
- H. Zhang, A. V. Holden, I. Kodama et al., “Mathematical models of action potentials in the periphery and center of the rabbit sinoatrial node,” The American Journal of Physiology, vol. 279, no. 1, pp. H397–H421, 2000.
- G. M. Faber, J. Silva, L. Livshitz, and Y. Rudy, “Kinetic properties of the cardiac L-type Ca2+ channel and its role in myocyte electrophysiology: a theoretical investigation,” Biophysical Journal, vol. 92, no. 5, pp. 1522–1543, 2007.
- J. C. Hancox, A. J. Levi, and H. J. Witchel, “Time course and voltage dependence of expressed HERG current compared with native “rapid” delayed rectifier K current during the cardiac ventricular action potential,” Pflugers Archiv—European Journal of Physiology, vol. 436, no. 6, pp. 843–853, 1998.
- T. Doerr, R. Denger, and W. Trautwein, “Calcium currents in single SA nodal cells of the rabbit heart studied with action potential clamp,” Pflugers Archiv—European Journal of Physiology, vol. 413, no. 6, pp. 599–603, 1989.
- N. Kim, M. B. Cannell, and P. J. Hunter, “Changes in the calcium current among different transmural regions contributes to action potential heterogeneity in rat heart,” Progress in Biophysics and Molecular Biology, vol. 103, no. 1, pp. 28–34, 2010.
- L. Yue, J. Feng, R. Gaspo, G. R. Li, Z. Wang, and S. Nattel, “Ionic remodeling underlying action potential changes in a canine model of atrial fibrillation,” Circulation Research, vol. 81, no. 4, pp. 512–525, 1997.
- M. E. Mangoni, B. Couette, L. Marger, E. Bourinet, J. Striessnig, and J. Nargeot, “Voltage-dependent calcium channels and cardiac pacemaker activity: from ionic currents to genes,” Progress in Biophysics and Molecular Biology, vol. 90, no. 1–3, pp. 38–63, 2006.
- G. Berecki, J. G. Zegers, R. Wilders, and A. C. van Ginneken, “Cardiac channelopathies studied with the dynamic action potential-clamp technique,” Methods in Molecular Biology, vol. 403, pp. 233–250, 2007.
- A. Nygren, C. Fiset, L. Firek et al., “Mathematical model of an adult human atrial cell: the role of K+ currents in repolarization,” Circulation Research, vol. 82, no. 1, pp. 63–81, 1998.
- H. Honjo, M. R. Boyett, I. Kodama, and J. Toyama, “Correlation between electrical activity and the size of rabbit sino-atrial node cells,” The Journal of Physiology, vol. 496, no. 3, pp. 795–808, 1996.
- M. Lei and M. R. Boyett, “Inhibition of transient outward current, it(to), by flecainide and quinidine in rabbit isolated sinoatrial node cells,” The Journal of Physiology, vol. 511, pp. 78–79, 1998.
- A. X. Sarkar and E. A. Sobie, “Regression analysis for constraining free parameters in electrophysiological models of cardiac cells,” PLoS Computational Biology, vol. 6, no. 9, Article ID e1000914, 2010.