Publications

A. Tveito, G. T. Lines, and M. Maleckar. "A note on a possible pro-arrhythmic property of anti-arrhythmic drugs aimed at improving gap-junction coupling", Biophysical Journal 102(2):231-37, 2012.

A. Tveito, G. T. Lines, J. E. Hake, A. G. Edwards, , and . Instabilities of the resting state in a mathematical model of calcium concentrations in cardiac myocytes, Mathematical Biosciences 236:97–107, 2012.

A. Tveito, G. T. Lines, M. E. Rognes, and M. M. Maleckar. An analysis of the shock strength needed to achieve defibrillation in a simplified mathematical model of cardiac tissue, International Journal of Numerical Analysis and Modeling 9(3):644-57, 2012.

M. Hanslien, R. Artebrant, A. Tveito, G. T. Lines, and X. Cai. Stability of two time-integrators for the Aliev-Panfilov system, International Journal of Numerical Analysis and Modeling 8(3):427-442, 2011.

A. Tveito, G. T. Lines, R. Artebrant, O. Skavhaug, and M. Maleckar. Existence of excitation waves for a collection of cardiomyocytes electrically coupled to fibroblasts, Mathematical Biosciences(230(2)):79-86, 2011.

A. Tveito, G. T. Lines, P. Li, and A. McCulloch. On Defining candidate drug characteristics for Long-QT, Mathematical Biosciences and Engineering 8(3):861-873, 2011.

A. Tveito, G. T. Lines, O. Skavhaug, and M. Maleckar. Unstable eigenmodes as possible drivers for cardiac arrhythmias, Journal of the Royal Society Interface 8(61):1212-6, 2011.

A. Tveito, O. Skavhaug, G. T. Lines, and R. Artebrant. Computing the stability of steady-state solutions of mathematical models of the electrical activity in the heart, Mathematical Biosciences and Engineering 41(8):611-618, 2011.

J. E. Hake, W. E. Louch, K. Haugen, I. Sjaastad, O. M. Sejersted, A. McCulloch, A. P. Michailova, and G. T. Lines. A stochastic model of the ryanodine receptor featuring coupled gating and competitive binding of luminal and cytosolic Ca2+ and Mg2+, Annual meeting in Biophysical Society, 2011.

R. Artebrant, A. Tveito, and G. T. Lines. A method for analyzing the stability of the resting state for a model of pacemaker cells surrounded by stable cells, Mathematical Biosciences and Engineering 7(3):505-526, 2010.

W. E. Louch, J. E. Hake, G. F. Jølle, H. K. Mørk, I. Sjaastad, G. T. Lines, and O. M. Sejersted. Control of Ca2+ Release by Action Potential Configuration in Normal and Failing Murine Cardiomyocytes, Biophysical Journal 99(5):1377-1386, 2010.

J. E. Hake, G. F. Jølle, H. K. Mørk, I. Sjaastad, O. M. Sejersted, W. E. Louch, and G. T. Lines. Control of Ca Release Synchrony by Action Potential Configuration in Murine Cardiomyocytes, In: Biophysical Journal, vol. 98(3), pp. 296a, Biophysical Journal, 2010.

A. Tveito, G. T. Lines, M. Maleckar, and O. Skavhaug. Simplified mathematical models of defibrillation, In: Conference Abstracts, VPH 2010, pp. 367-9, Virtual Physiological Human Network of Excellence, VPH NOE, 2010.

P. Deuflhard, B. Erdmann, R. Roitzsch, and G. T. Lines. Adaptive Finite Element Simulation of Ventricular Fibrillation Dynamics, Computing and Visualization in Science 12(5): 201-205, 2009.

G. T. Lines, S. Linge, M. MacLachlan, and A. Tveito. Synchronizing Computer Simulations with Measurement Data for a Case of Atrial Flutter, Annals of Biomedical Engineering 37(7):1287-1293, 2009.

S. Linge, J. Sundnes, M. Hanslien, G. T. Lines, and A. Tveito. Numerical solution of the bidomain equations, Philosophical Transactions of the Royal Society A 367(1895):1931-1951, 2009.

A. Tveito and G. T. Lines. A note on a method for determining advantageous properties of an anti-arrhythmic drug based on a mathematical model of cardiac cells, Mathematical Biosciences 217(2):167-173, 2009.

G. T. Lines and J. Sundnes. Computer Simulations of the Heart, In: Simula Research Laboratory - by thinking constantly about it, ed. by Tveito, Aslak and Bruaset, Are Magnus and Lysne, Olav . Springer, Heidelberg, chap. 20, pp. 259-276, 2009.

G. T. Lines, A. Tveito, and P. Li. Antiarrhythmic Drug Identifaction, 2009.

J. E. Hake and G. T. Lines. Stochastic binding of Ca2+ in the dyadic cleft: continuous vs. random-walk description of diffusion. , Biophysical Journal 94(11):4184-4201, 2008.

S. Linge, G. T. Lines, J. Sundnes, and A. Tveito. On the frequency of automaticity during ischemia in simulations based on stochastic perturbations of the Luo-Rudy 1 model, Computers in Biology and Medicine 38( ):1218-1227, 2008.

A. Tveito and G. T. Lines. A condition for setting off ectopic waves in computational models of excitable cells, Mathematical Biosciences 213(2):141-150, 2008.

J. E. Hake and G. T. Lines. Modelling the mesoscopic length scale of EC coupling: the diadic cleft, Invited talk at 'European Conference on Mathematical and Theoretical Biology', 2008.

Kent-A. Mardal, O. Skavhaug, G. T. Lines, G. A. Staff, and Å. Ødegård. Using Python to Solve Partial Differential Equations, Computing in Science & Engineering 9(3):48-51, 2007.

B. F. Nielsen, T. S. Ruud, G. T. Lines, and A. Tveito. Optimal Monodomain approximations of the Bidomain equations, Applied Mathematics and Computation 184(2):276--290, 2007.

A. Schroll, G. T. Lines, and A. Tveito. On the Accuracy of Operator Splitting as Applied to Discretized Reaction Diffusion Systems, International Journal of Computer Mathematics 84(6):871 - 885, 2007.

J. E. Hake and G. T. Lines. Stochastic binding of Ca2+ ions in the dyadic cleft continuous vs Random walk description of diffusion, Poster presentation at 5th Annual CHFR Symposium, 2007.

J. E. Hake and G. T. Lines. Stochastic binding of Ca2+ ions in the dyadic cleft continuous vs Random walk description of diffusion, Presentation at ICIAM 07, 2007.

G. T. Lines. Cardiac computing at Simula, Talk at CBC Workshop on Biomedical Computing, 2007.

G. T. Lines. Overview of the Cardiac Computations project, Talk at CBC, Seminar on Electrophysiology Modeling, 2007.

J. Sundnes, G. T. Lines, X. Cai, B. F. Nielsen, Kent-A. Mardal, and A. Tveito. Computing the electrical activity in the heart, Springer-Verlag, 2006.

G. T. Lines, J. B. Sande, W. E. Louch, H. K. Mørk, P. Grøttum, and O. M. Sejersted. Contribution of the Na/Ca Exchanger to Rapid Ca Release in Cardiomyocytes, Biophysical Journal 91(3):779--792, 2006.

J. Sundnes, B. F. Nielsen, Kent-A. Mardal, X. Cai, G. T. Lines, and A. Tveito. On the computational complexity of the bidomain and the monodomain models of electrophysiology, Annals of biomedical engineering 34(7):1088-1097, 2006.

X. Cai and G. T. Lines. Full-scale simulation of cardiac electrophysiology on parallel computers, In: Numerical Solution of Partial Differential Equations on Parallel Computers, ed. by A. M. Bruaset and A. Tveito. Springer, pp. 385--411. Lecture Notes in Computational Science and Engineering, 2006.

M. Hanslien, J. Sundnes, G. T. Lines, and A. Tveito. Simulating electrical activity in the heart, Presented at St Jude Medical, Stockholm, Sweeden, 2006.

B. F. Nielsen, O. M. Lysaker, X. Cai, Kent-A. Mardal, C. Tarrou, M. MacLachlan, J. Sundnes, G. T. Lines, and A. Tveito. Computational issues in heart modeling, Presented at the Johann Radon Institute for Computational and Applied Mathematics, Linz, Austria, 2006.

S. Linge, G. T. Lines, and J. Sundnes. Solving the heart mechanics equations with Newton and quasi Newton methods - a comparison, Computer Methods in Biomechanics and Biomedical Engineering 8(1):1--8, 2005.

M. C. MacLachlan, J. Sundnes, and G. T. Lines. Simulation of ST Segment Changes During Subendocardial Ischemia Using a Realistic 3-D Cardiac Geometry, IEEE Transactions on Biomedical Engineering 52(5):799--807, 2005.

J. Sundnes, G. T. Lines, and A. Tveito. An operator splitting method for solving the bidomain equations coupled to a volume conductor model for the torso, Mathematical biosciences 194(2):233--248, 2005.

M. Hanslien, J. Sundnes, and G. T. Lines. Numerical simulations of cardiac arrhythmias and defibrillation, In: MekIT'05 - Third national conference on Computational Mechanics, Trondheim, Norway May 11-12, ed. by Bjørn Skallerud and Helge I. Andersson, pp. 135-144, Trondheim, Tapir Academic Press, 2005.

O. M. Lysaker, B. F. Nielsen, A. Tveito, G. T. Lines, J. Sundnes, and C. Tarrou. Kan man simulere et hjerteslag?, LAMIS - SOMMERKURS "Matematikk – med røtter og vinger ", Asker, 2005.

X. Cai, G. Lines, and A. Tveito. Parallel Solution of the Bidomain Equations with High Resolutions, In: Parallel Computing: Software Technology, Algorithms, Architectures & Applications, ed. by G. R. Joubert and W. E. Nagel and F. J. Peters and W. V. Walter. Elsevier Science, pp. 837--844, 2004.

T. K. Nilssen, L. Ingebrigtsen, M. Hanslien, G. T. Lines, and A. Tveito. Resolution requirements for a 1D monodomain model for simulating, Simula Research Laboratory, Research Report(2004-07), 2004.

M. C. MacLachlan, J. Sundnes, and G. T. Lines. Modelling ST segment changes during myocardial ischemia, Presented at the SIAM Conference on the Life Sciences: Portland, Oregon, 2004.

B. F. Nielsen, M. Lysaker, G. T. Lines, and A. Tveito. Parameter Identification Problems for Infarction Modelling, Presented at the 2004 SIAM Conference on the Life Sciences, Portland, Oregon, USA, 2004.

J. Sundnes, G. T. Lines, and A. Tveito. Challenges in mathematical models of the heart, Presented at the SIAM Annual meeting, Portland, Oregon, 2004.

G. Lines, M. L. Buist, P. Grøttum, A. J. Pullan, J. Sundnes, and A. Tveito. Mathematical Models and Numerical Methods for the Forward Problem in Cardiac Electrophysiology, Computing and Visualization in Science 5(4):215-239, 2003.

G. Lines, P. Grøttum, and A. Tveito. Modeling the Electrical Activity of the Heart --A Bidomain Model of the Ventricles Embedded in a Torso, Computing and Visualization in Science 5(4):195-213, 2003.

G. Lines, J. B. Sande, P. Grøttum, T. A. Strømme, and O. Sejersted. Co-Localization of Sodium Transporters in Isolated Cardiac Cell Membrane; a Model Study, International Journal of Bioelectromagnetism 5(1):179-180, 2003.

J. Sundnes and G. Lines. Modeling the electro-mechanical behavior of an infarcted heart, In: Proceedings from MekIT'03, Second national conference on Computational Mechanics, Trondheim, 2003.