The theme of this thesis is the use of the bidomain equations for modeling the electrical activity in the human heart, and the pursuit of ways to use these equations for medical applications. The first paper investigates a simplification of the actual equations themselves which may contribute to speed up the necessary computing. The second looks at their use in inverse methods to identify ischemic heart disease from electrocardiograms (ECGs) recorded at the body surface. In Paper III they are simply used to give indications
of where to take measurements of the body surface potential.
The bidomain equations form the conceptual basis of this work, and while the equations themselves are presented in each of the following papers, we will here go into further detail about this model and the electrical properties of the human heart in general.
List of Papers
Optimal Monodomain Approximations of the Bidomain Equations
B. F. Nielsen, T. S. Ruud, G. L. Lines and A. Tveito
Applied Mathematics and Computation, 184: 276 – 290, 2007
A Computationally Efficient Method for Determining the Size and Location of Myocardial Ischemia
T. S. Ruud, B. F. Nielsen, M. Lysaker and J. Sundnes
IEEE Transactions on Biomedical Engineering, Vol. 56, Iss. 2, 2009
Body Surface ST shifts Generated by Ischemic Heart Disease; a Simulation Study
T. S. Ruud, B. F. Nielsen, P. Grøttum and M. Lysaker
(Submitted to journal for publication)