Publications
Found 103 scientific publications (published or accepted for publication in forums with peer review).
Simula has implemented a set of publication guidelines based on the Vancouver Convention, which are enforced for all publications available in our online database.
2012
Articles in International Journals
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.
2011
Articles in International Journals
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.
2010
Books
A. Tveito, H. P. Langtangen, B. F. Nielsen, and X. Cai. Elements of Scientific Computing, Springer, 2010.
Articles in International Journals
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.
Conference Reference
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.
2009
Books
A. Tveito and R. Winther. Introduction to Partial Differential Equations; A Computational Approach, Springer-Verlag (second edition), 2009.
Edited Books
A. Tveito, A. M. Bruaset, and O. Lysne. Simula Research Laboratory — by thinking constantly about it, Springer, Heidelberg, 2009.
Articles in International Journals
M. Hanslien, R. Artebrant, J. Sundnes, and A. Tveito. An unconditionally stable second order method for the Luo-Rudy 1 model used in simulations of defibrillation, International Journal of Numerical Analysis and Modeling 6(4):627-641, 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.
B. F. Nielsen, X. Cai, J. Sundnes, and A. Tveito. Towards a computational method for imaging the extracellular potassium concentration during regional ischemia, Mathematical Biosciences 220(2):118-130, 2009.
B. F. Nielsen, A. Tveito, and W. Hackbusch. Preconditioning by inverting the Laplacian; an analysis of the eigenvalues, IMA Journal of Numerical Analysis 29(1):24-42, 2009.
J. Sundnes, R. Artebrant, O. Skavhaug, and A. Tveito. A second order algorithm for solving dynamic cell membrane equations, IEEE Transactions on Biomedical Engineering 56(10):2546-2548, 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.
Chapters in Books
B. F. Nielsen, O. M. Lysaker, P. Grøttum, Kent-A. Mardal, A. Tveito, C. Tarrou, K. Haugaa, A. Abildgaard, and J. G. Fjeld. Can ECG recordings and mathematics tell the condition of your heart?, In: Simula Research Laboratory - by thinking constantly about it, ed. by Tveito, Tveito and Bruaset, Are Magnus and Lysne, Olav. Springer, Heidelberg, chap. 22, pp. 287-319, 2009.
Contributed talk
G. T. Lines, A. Tveito, and P. Li. Antiarrhythmic Drug Identifaction, 2009.
B. F. Nielsen, O. M. Lysaker, P. Grøttum, A. Tveito, K. Haugaa, A. Abildgaard, J. G. Fjeld, and M. Burger. Modelling, mathematical properties and validation of the inverse ischemia problem, Presented at the Bidomain Workshop, Graz, Austria, 2009.
2008
Articles in International Journals
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.
B. F. Nielsen, O. Skavhaug, and A. Tveito. Penalty methods for the numerical solution of American multi-asset option problems, Journal of Computational and Applied Mathematics 222(1):3-16, 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.
Contributed talk
B. F. Nielsen, O. M. Lysaker, P. Grøttum, A. Tveito, A. Abildgaard, J. G. Fjeld, and K. H. Haugaa. On the use of computer simulations for identifying ischemic heart disease; theoretical and practical aspects, Presented at the workshop "Mathematics in Medicine/Biology", Centre of Mathematics for Applications, Department of Mathematics, University of Oslo, 2008.
B. F. Nielsen, O. M. Lysaker, P. Grøttum, A. Tveito, A. Abildgaard, J. G. Fjeld, and K. H. Haugaa. Theoretical and practical aspects of the inverse problem of electrocardiography, Presented at Institut für Mathematik und Wissenschaftliches Rechnen, Karl Franzes Universität in Graz, Austria. Also presented at Institut für Numerische und Angewandte Mathematik, Westfälische Wilhelms-Universität Münster, Germany, 2008.
B. F. Nielsen, O. M. Lysaker, P. Grøttum, A. Tveito, A. Abildgaard, J. G. Fjeld, and K. Hermann Haugaa. The inverse problem of identifying ischemic heart disease, Presented at the annual meeting of European Cardiac Simulation Group, Bologna, Italy, 2008.
2007
Articles in International Journals
X. Cai, B. F. Nielsen, and A. Tveito. A note on the efficiency of the Conjugate Gradient method for a class of time-dependent problems, Numerical Linear Algebra with Applications 14(5):459--467, 2007.
M. Hanslien, J. Sundnes, and A. Tveito. An unconditionally stable numerical method for the Luo-Rudy 1 model used in simulations of defibrillation, Mathematical Biosciences 208(2):375--392, 2007.
M. MacLachlan, J. Sundnes, O. Skavhaug, O. M. Lysaker, B. F. Nielsen, and A. Tveito. A linear system of partial differential equations modeling the resting potential of a heart with regional ischemia, Mathematical Biosciences 210(1):238--252, 2007.
Kent-A. Mardal,
B. F. Nielsen,
X. Cai,
and
A. Tveito.
An order optimal solver for the discretized Bidomain equations,
Numerical Linear Algebra with Applications 14(2):83--98,
2007.
B. F. Nielsen, O. M. Lysaker, and A. Tveito. On the use of the resting potential and level set methods for identifying ischemic heart disease; an inverse problem, Journal of Computational Physics 220(2):772--790, 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.
2006
Books
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.
Edited Books
A. M. Bruaset
and
A. Tveito.
Numerical Solution of Partial Differential Equations on Parallel Computers,
Springer,
2006.
Articles in International Journals
M. Hanslien, K. H. Karlsen, and A. Tveito. On a finite difference scheme for a Beeler-Reuter based model of cardiac electrical activity, Int J of Num Anal and Mod 3(4):395-412, 2006.
M. C. MacLachlan, B. F. Nielsen, O. M. Lysaker, and A. Tveito. Computing the size and location of myocardial ischemia using measurements of ST-segment shift, IEEE Transactions on Biomedical Engineering 53(6):1024--1031, 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.
Proceedings without Referee
C. Tarrou, O. M. Lysaker, X. Cai, Kent-A. Mardal, C. Tarrou, T. S. Ruud, M. MacLachlan, and A. Tveito. Identifying Ischemic Heart Disease in Terms of ECG Recordings and an Inverse Problem for the Bidomain Equations; Modeling and Experiments, In: The Third International Conference "Inverse Problems: Modeling and Simulation", ed. by K. Kunisch, S. I. Kabanikhin, A. Hasanov, H. T. Banks, pp. 138--140, Literat{\"u}r Yayincilik Ltd, 2006.
Contributed talk
M. Hanslien, J. Sundnes, and A. Tveito. Simulations of reentrant arrhythmias in the heart, and defibrillation as a treatment, Presented at NADA, KTH, Sweeden, 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.
2005
Articles in International Journals
M. Hanslien, K. H. Karlsen, and A. Tveito. A maximum principle for an explicit finite difference scheme approximating the Hodgkin-Huxley model, BIT 45(4):725 - 741, 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.
Refereed Proceedings
B. F. Nielsen, O. M. Lysaker, C. Tarrou, A. Abildgaard, M. MacLachlan, and A. Tveito. On the Use of ST-Segment Shifts and Mathematical Models for Identifying Ischemic Heart Disease, In: Computers in Cardiology 2005, Lyon, France, September 25-28, ed. by A. Murray, pp. 1005--1008, IEEE, 2005.
Contributed talk
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.
Kent-A. Mardal, B. F. Nielsen, and A. Tveito. Preconditioners for Elliptic Problems with Variable Coefficients, Presented at the SIAM Conference on Mathematical and Computational Issues in the Geosciences, Avignon, France, 2005.
