Analysis of electrode configurations for measuring cardiac tissue conductivities and fibre rotation

Annals of Biomedical Engineering

Volumn 34, Issue 6, 2006, Pages 986-996

  Johnston, Barbara M ^a   Johnston, Peter R ^a   Kilpatrick, David ^b  

^a GRIFFITH UNIVERSITY   (Australia)

^b UNIVERSITY OF TASMANIA   (Australia)

Author keywords

Anisotropy; Bidomain model; Conductivity values; Electrodes; Fibre rotation; Simulation

Indexed keywords

ALGORITHMS; ANISOTROPY; COMPUTER SIMULATION; ELECTRODES; HISTOLOGY; ITERATIVE METHODS;

BIDOMAIN MODEL; CONDUCTIVITY VALUES; FIBRE ROTATION; INTRACELLULAR VALUES;

TISSUE CULTURE;

DIAGNOSTIC AGENT;

ANIMAL; ARTICLE; BIOLOGICAL MODEL; CELL POLARITY; COMPUTER ASSISTED DIAGNOSIS; COMPUTER SIMULATION; CYTOLOGY; ELECTRIC CONDUCTIVITY; ELECTROCARDIOGRAPHY; ELECTRODE; HEART MUSCLE CELL; HUMAN; IMPEDANCE CARDIOGRAPHY; INSTRUMENTATION; METHODOLOGY; PHYSIOLOGY; ROTATION;

ANIMALS; BODY SURFACE POTENTIAL MAPPING; CARDIOGRAPHY, IMPEDANCE; CELL POLARITY; COMPUTER SIMULATION; DIAGNOSIS, COMPUTER-ASSISTED; ELECTRIC CONDUCTIVITY; ELECTRODES; HUMANS; MODELS, CARDIOVASCULAR; MYOCYTES, CARDIAC; ROTATION;

EID: 33745440009     PISSN: 00906964     EISSN: 15739686     Source Type: Journal    
DOI: 10.1007/s10439-006-9098-4     Document Type: Article

References (38)

1. Aster, R. C., B. Borchers, and C. H. Thurber. Parameter Estimation and Inverse Problems. Burlington: Elsevier Academic Press, 2005.
2. Barr, R. C., and R. Plonsey. Electrode systems for measuring cardiac impedances using optical transmembrane potential sensors and interstitial electrodes - Theoretical design. IEEE Tran. Biomed. Eng. 50(8):925-934, 2003.
3. Clerc, L. Directional differences of impulse spread in trabecular muscle from mammalian heart. J. Physiol. 255:335-346, 1976.
4. Colli-Franzone, P., and L. Guerri. Spreading of excitation in 3D models of the anisotropic cardiac tissue I: Validation of the eikonal model. Math. Biosci. 113:145-209, 1993.
5. Gulrajani, R. M. Bioelectricity and Biomagnetism. John Wiley and Sons, 1998.
6. Hofer, E., G. Urban, M. S. Spach, I. Schafferhofer, G. Mohr, and D. Platzer. Measuring activation patterns of the heart at a microscopic size scale with thin-film sensors. Am. J. Physiol. 266(5):H2136-H2145, 1994.
7. Hund, T. J., J. P. Kucera, N. F. Otani, and Y. Rudy. Ionic charge conservations and long-term steady state in the Luo-Rudy dynamic cell model. Biophys. J. 81:3324-3331, 2001.
8. Johnston, P. R. A cylindrical model for studying subendocardial ischaemia in the left ventricle. Math. Biosci. 186(1):43-61, 2003.
9. Johnston, B. M., P. R. Johnston, and D. Kilpatrick. A new approach to the determinination of cardiac potential distributions: Application to the analysis of electrode configurations. Mathematical Bioscience (in press), 2006.
10. Johnston, P. R., and D. Kilpatrick. The effect of conductivity values on ST segment shift in subendocardial ischaemia. IEEE Trans. Biomed. Eng. 50(2): 150-158, 2003.
11. Kim, C.-S., S. Ufer, C. M. Seagle, C. L. Engle, H. T. Nagle, T. A. Johnson, and W. E. Cascio. Use of micromachined probes for the recording of cardiac electrograms in isolated heart tissues. Biosen. Bioelectron. 19(9): 1109-1116, 2004.
12. Krassowska, W., and J. C. Neu. Effective boundary conditions for syncytial tissues. IEEE Trans. Biomed. Eng. 41(2): 143-150, 1994.
13. Kuntsevich, A., and F. Kappel. SolvOpt: The Solver for Local Nonlinear Optimisation Problems, version 1.1 in C. Institute for Mathematics: Karl-Franzens University of Graz, 1997.
14. Le Guyader, P., P. Savard, R. Guardo, L. Pouliot, F. Trelles, and M. Meunier. Myocardial impedance measurements with a modified four electrode technique. 16th IEEE-EMBS. 1994, pp. 880-881.
15. Le Guyader, P., P. Savard, and F. Trelles. Measurement of myocardial conductivities with an eight-electrode technique in the frequency domain. 17th IEEE-EMBS, pp. 71-72, 1995.
16. Le Guyader, P., F. Trelles, and P. Savard. Extracellular measurement of anisotropic bidomain myocardial conductivities. I. Theoretical analysis. Ann. Biomed. Eng. 29:862-877, 2001.
17. LeGrice, I. J., P. J. Hunter, and B. H. Smail. Laminar structure of the heart: A mathematical model. Am. J. Physiol. 272:H2466-H2476, 1997.
18. Li, Q. Transmyocardial ST potential distributions in ischaemic heart disease, Ph.D. thesis, University of Tasmania, 2005.
19. Miller, W. T. and D. B. Geselowitz. Simulation studies of the electrocardiogram I: The normal heart. Circ. Res. 43:301-315, 1978.
20. Plonsey, R., and R. C. Barr. A critique of impedance measurements in cardiac tissue. Ann. Biomed. Eng. 14:307-322, 1986.
21. Plonsey, R., and R. C. Barr. The four-electrode resistivity technique as applied to cardiac muscle. IEEE Trans. Biomed. Eng. 29(7):541-546, 1982.
22. Pollard, A. E., and R. C. Barr. Cardiac micro-impedance measurement in two-dimensional models using multisite interstitial stimulation. Am. J. Physiol. Heart Circ. Physiol. 290(5):H1976-H1987, 2006.
23. Pollard, A. E., W. M. Smith, and R. C. Barr. Feasibility of cardiac microimpedance measurement using multisite interstitial stimulation. Am. J. Physiol. Circ. Physiol. 287:H2402-H2411, 2004.
24. Press, W. H., B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling. Numerical Recipes, The Art of Scientific Computing, 2nd edition. Cambridge: Cambridge University Press, 1992.
25. Roberts, D. E., L. T. Hersh, and A. M. Scher. Influence of cardiac fiber orientation on wavefront voltage, conduction velocity and tissue resistivity in the dog. Circ. Res. 44:701-712, 1979.
26. Roberts, D. E., and A. M. Scher. Effects of tissue anisotropy on extracellular potential fields in canine myocardium in situ. Circ. Res. 50:342-351, 1982.
27. Roth, B. J. Mechanisms for electrical stimulation of excitable tissue. Crit. Rev. Biomed. Eng. 22:253-305, 1994.
28. Roth, B. J. Electrical conductivity values used with the bidomain model of cardiac tissue. IEEE Tran. Biomed. Eng. 44(4):326-328, 1997.
29. Rush, S., J. A. Abildskov, and R. McFee. Resistivity of body tissues at low frequencies. Circ. Res. 12:40-50, 1963.
30. Schmitt, O. H. Biological information processing using the concept of interpenetrating domains. In Information Processing in the Nervous System, chapter 18, edited by K. N. Leibovic. Springer-Verlag, New York, 1969, pp. 325-331.
31. Steendijk, P., G. Mur, E. T. van der Velde, and J. Baan. The four-electrode resistivity technique in anisotropic media: Theoretical analysis and application on myocardial tissue in Vivo. IEEE Trans. Biomed. Eng. 40(11):1138-1147, 1993.
32. Stinstra, J., B. Hopenfeld, and R. MacLeod. On the passive cardiac conductivity. Ann. Biomed. Eng. 33(12): 1743-1751, 2005.
33. Streeter, D. D. Gross morphology and fiber geometry of the heart. In: Handbook of Physiology, Vol 1, chapter 2, edited by R. M. Berne. The Cardiovascular System, Williams and Williams, Baltimore, MD, 1979, pp. 61-112.
34. Tung, L. A Bi-domain model for describing ischaemic myocardial D-C potentials. Ph.D. thesis, Massachusetts Institute of Technology, June 1978.
35. van Oosterom, A., R. W. de Boer, and R. Th. Van Dam. Intramural resistivity of cardiac tissue. Med. Biol. Eng. Comput. 17:337-343, 1979.
36. Wang, Y., P. H. Schimpf, D. R. Haynor, and Y. Kim. Geometric effects on resistivity measurements with four-electrode probes in isotropic and anisotropic tissues. IEEE Trans. Biomed. Eng. 45(7):8-19, 1998.
37. Weidmann, S. Electrical constants of trabecular muscle from mammalian heart. J. Physiol. 210:1041-1054, 1970.
38. Wiley, J. J., R. E. Ideker, W. M. Smith, and A. E. Pollard. Measuring surface potential components necessary for transmembrane current computation using microfabricated arrays. Am. J. Physiol. Heart Circ. Physiol. 289(6):H2468-H2477, 2005.