Theoretical Analysis of Electrodes for Measuring Fibre Rotation in Cardiac Tissue

Four electrode techniques have long been used to determine conductivity parameters in cardiac tissue. This paper in troduces a mathematical model and solution technique to theoretically analyse electrode configurations, specifically allowing for plunge electrodes. In particular, the focus is on using four electrode configurations to determine fibre rota tion in cardiac tissue. Two configurations are analysed, the first with the four electrodes collinear and the second with one electrode removed from the line of the other three. It is found that the second electrode configuration can yield a value for the fibre rotation under the assumptions of the model.

[1]  William H. Press,et al.  Numerical recipes , 1990 .

[2]  P. Savard,et al.  Extracellular Measurement of Anisotropic Bidomain Myocardial Conductivities. I. Theoretical Analysis , 2001, Annals of Biomedical Engineering.

[3]  D. Geselowitz,et al.  Simulation Studies of the Electrocardiogram: I. The Normal Heart , 1978, Circulation research.

[4]  A. M. Scher,et al.  Influence of Cardiac Fiber Orientation on Wavefront Voltage, Conduction Velocity, and Tissue Resistivity in the Dog , 1979, Circulation research.

[5]  W. Krassowska,et al.  Effective boundary conditions for syncytial tissues , 1994, IEEE Transactions on Biomedical Engineering.

[6]  R. Gulrajani Bioelectricity and biomagnetism , 1998 .

[7]  Yongmin Kim,et al.  An investigation of the importance of myocardial anisotropy in finite-element modeling of the heart: methodology and application to the estimation of defibrillation efficacy , 2001, IEEE Transactions on Biomedical Engineering.

[8]  L. Clerc Directional differences of impulse spread in trabecular muscle from mammalian heart. , 1976, The Journal of physiology.

[9]  Leslie Tung,et al.  A bi-domain model for describing ischemic myocardial d-c potentials , 1978 .

[10]  P. C. Franzone,et al.  Spreading of excitation in 3-D models of the anisotropic cardiac tissue. I. Validation of the eikonal model. , 1993, Mathematical biosciences.

[11]  P. Hunter,et al.  Laminar structure of the heart: a mathematical model. , 1997, The American journal of physiology.

[12]  Peter R. Johnston,et al.  The effect of conductivity values on ST segment shift in subendocardial ischaemia , 2003, IEEE Transactions on Biomedical Engineering.

[13]  P. Johnston A cylindrical model for studying subendocardial ischaemia in the left ventricle. , 2003, Mathematical biosciences.

[14]  A. M. Scher,et al.  Effect of Tissue Anisotropy on Extracellular Potential Fields in Canine Myocardium in Situ , 1982, Circulation research.

[15]  Peter R. Johnston,et al.  The importance of anisotropy in modeling ST segment shift in subendocardial ischaemia , 2001, IEEE Transactions on Biomedical Engineering.

[16]  Dd. Streeter,et al.  Gross morphology and fiber geometry of the heart , 1979 .

[17]  Myocardial impedance measurements with a modified four electrode technique , 1994, Proceedings of 16th Annual International Conference of the IEEE Engineering in Medicine and Biology Society.

[18]  Otto H. Schmitt,et al.  Biological Information Processing Using the Concept of Interpenetrating Domains , 1969 .

[19]  Robert Plonsey,et al.  The Four-Electrode Resistivity Technique as Applied to Cardiac Muscle , 1982, IEEE Transactions on Biomedical Engineering.