Estimation of cardiac bidomain parameters from extracellular measurement: Two dimensional study

Annals of Biomedical Engineering

Volumn 34, Issue 8, 2006, Pages 1289-1303

  Sadleir, R ^a   Henriquez, C ^b  

^a University of Florida   (United States)

^b Duke University   (United States)

Author keywords

Anisotropy; Bidomain model; Cardiac tissue; Conductivity; Fiber angle; Impedance measurement; Regularization

Indexed keywords

BIDOMAIN MODEL; CARDIAC TISSUE; FIBER ANGLE; IMPEDANCE MEASUREMENT; REGULARIZATION;

ANISOTROPY; COMPUTATIONAL METHODS; ELECTRIC CONDUCTIVITY; ELECTRODES; PARAMETER ESTIMATION; TISSUE; WAVEFRONTS;

CARDIOLOGY;

DIAGNOSTIC AGENT;

ACTION POTENTIAL; ALGORITHM; ANIMAL; ARTICLE; BIOLOGICAL MODEL; COMPUTER ASSISTED DIAGNOSIS; COMPUTER SIMULATION; ELECTRIC CONDUCTIVITY; ELECTROCARDIOGRAPHY; ELECTROMAGNETIC FIELD; EXTRACELLULAR SPACE; HEART MUSCLE CONDUCTION SYSTEM; HUMAN; IMPEDANCE PLETHYSMOGRAPHY; METHODOLOGY; PHYSIOLOGY;

ACTION POTENTIALS; ALGORITHMS; ANIMALS; BODY SURFACE POTENTIAL MAPPING; COMPUTER SIMULATION; DIAGNOSIS, COMPUTER-ASSISTED; ELECTRIC CONDUCTIVITY; ELECTROCARDIOGRAPHY; ELECTROMAGNETIC FIELDS; EXTRACELLULAR SPACE; HEART CONDUCTION SYSTEM; HUMANS; MODELS, CARDIOVASCULAR; PLETHYSMOGRAPHY, IMPEDANCE;

EID: 33748789074     PISSN: 00906964     EISSN: 15739686     Source Type: Journal    
DOI: 10.1007/s10439-006-9128-2     Document Type: Article

References (36)

1. Abascal, J. F. P. J., and W. R. B. Lionheart. Rank analysis of the anisotropic inverse conductivity problem, P roc. XII ICEBl - V EIT 2004, Gdansk, Poland 20-24 June 2004, 2:511-514, 2004.
2. Barr, R. C., and R. Plonsey, Electrode systems for measuring cardiac impedances using optical transmembrane potential sensors and interstitial electrodes - theoretical design. IEEE Trans. Biomed. Eng. 50:925-934, 2003.
3. Boone, K., D. Barber, and B. Brown. Review Imaging with electricity: Report of the European concerted action on impedance tomography. J. Med. Eng. Tech. 21:201-232, 1997.
4. Brown, B. H. Medical impedance tomography and process impedance tomography: A brief review. Meas. Sci. Technol. 12:991-996, 2001.
5. Cheney, M., D. Isaacson, J. C. Newell, S. Simske, J. Goble. NOSER: An algorithm for Solving the inverse conductivity problem. Int. J. Im. Syst. Tech. 2:66-75, 1990.
6. Clerc, L. Directional differences of impulse spread in trabecular muscle from mammalian heart. J. Physiol. 255:335-346, 1976.
7. Colli-Franzone, P., L. Guerrie, and B. Taccardi. Spread of excitation in a myocardial volume: simulation studies in a model of anisotropic ventricular muscle activated by point stimulation. J. Cardiovasc. Electrophysiol. 4:144-160, 1993.
8. Dines, K. A., and R. J. Lytle. Analysis of electrical conductivity imaging Geophysics 46:1025-1036, 1981.
9. Geselowitz, D. B. An application of electrocardiographic lead theory to impedance plethysmography. IEEE Trans. Biomed. Eng. BME-18:38-41, 1971.
10. Henriquez, C. S. Simulating the electrical behavior of cardiac tissue using the bidomain model. Crit. Rev. Biomed. Eng. 21:1-77, 1993.
11. Jack, J. J. B., D. Noble, and R. W. Tsien. Electric Current Flow in Excitable Cells. Oxford: Clarendon University Press, 1975.
12. Lee, J. M., and G. Uhlmann. Determining anisotropic realanalytic conductivities by boundary measurements. Comm. Pure Appl. Math. 42:1097-1112, 1989.
13. LeGuyader, P. , F. Trelles, and P. Savard. Extracellular measurement of anisotropic bidomain myocardial conductivi ties. I. Theoretical analysis. Ann. Biomed, Eng. 29:862-877, 2001.
14. Lionheart, W. R. B. Conformal uniqueness results in anisotropic electrical impedance imaging. Inv. Prob. 13:125-134, 1997.
15. Muzikant, A. L., and C. S. Henriquez. Bipolar stimulation of a three- dimensional bidomain incorporating rotational anisotropy. IEEE Trans. Biomed. Eng. 45:449-462, 1998.
16. Plonsey, R., and R. Barr. The four-electrode resistivity technique as applied to cardiac muscle. IEEE Trans. Biomed. Eng. BME-29:541-546, 1982.
17. Plonsey, R., and R. C. Barr. A critique of impedance measurements in cardiac tissue. Ann. Biomed. Eng. 14:307-322, 1986.
18. Pollard, A. E., W. M. Smith, and R. C. Barr. Feasibility of cardiac microimpedance measurement using multisite interstitial stimulation. Am. J. Physiol. Heart Circ: Physiol. 287:2402-2411, 2004.
19. Pormann, J. B. A simulation system for the bidomain equations, Ph.D. Dissertation. Duke University, Durham NC, 1999.
20. 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. Rex. 44:701-712, 1979.
21. Roberts, D. E., and A. M. Scher. Effect of Tissue Anisotropy on extracellular potential fields in canine myocardium in situ. Circ. tos. 50:342-351, 1982.
22. Roth, B. J. Approximate analytical solutions to the bidomain equations with unequal anisotropy ratios. Phys. Rev. E 55:1819-1826, 1997.
23. Roth, B. J. Electrical Conductivity values used with the bidomain model of cardiac tissue IEEE Trans. Biomed. Eng. 44:326-328, 1997.
24. Rush, S., J. A. Abildskov, and R. McFee. Resistivity of body tissues at low frequencies. Circ. Res. 12:40-50, 1963.
25. Seagar, A. D., D. C. Barber, and B. H. Brown. Theoretical limits to sensitivity and resolution in impedance imaging. Clin. Phys. Physiol. Meas. 8A: 13-31, 1987.
26. 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. 40:1138-1148, 1993.
27. Steendijk, P., E. T. van der Velde, and J. Baan. Dependence of anisotropic myocardial electrical resistivity on cardiac phase and excitation frequency. Basic Res. Cardiol 89:411-426, 1994.
28. Taylor, D. A. Cellular cardiomyoplasty with autologous skeletal myoblasts for ischemic heart disease and heart failure. Curr. Controlled Clin. Trials Cardiovasc. Med. 2:208-210, 2001.
29. Taylor, D. A., B. Z. Atkins, P. Hungspreugs, T. R. Jones, M. C. Reedy, K. A. Hutcheson, D. D. Glower, and W. E. Kraus. Regenerating functional myocardium: Improved performance after skeletal myoblast transplantation. Nat. Med. 4:929-933 1998.
30. Tsai, J. Z. , J. A. Will, S. Hubbard-van Stelle, H. Cao, S. Tungjitkusolmun, Y. B. Choy, D. Haemmerich, V. R. Vorperian, and J. G. Webster. In-vivo measurement of swine myocardial resistivity. IEEE Trans. Biomed. Eng. 49:472-483, 2002.
31. Tsai, J. Z., J. A. Will, V. R. Vorperian, S. Hubbard-van Stelle, S. Tungjitkusolmun, Y. B. Choy, and J. G. Webster. In vitro measurement of myocardial impedivity anisotropy with a miniature rectangular tube. IEEE Trans. Biomed. Eng. 50:528-532, 2003.
32. Uhlmann, G. Recent progress in the anisotropic electrical impedance problem. Electron. J. Diff. Eqns., Conf 06, 2001:303-311, 2001.
33. Vauhkonen, M., D. Vadasz, P. A. Karjalainen, E. Somersalo, and J. P. Kaipio. Tikhonov regularization and prior information in electrical impedance tomography. IEEE Trans. Med. Im. 17:285-293, 1998.
34. Yorkey, T. J. , J. G. Webster, and W. J. Tompkins. Comparing reconstruction algorithms for electrical impedance tomography. IEEE Trans. Biomed. Eng. BME-34:843-852, 1987.
35. Zhu, E. W., and C. S. Henriquez. Myocardial fiber orientation mapping using reduced encoding diffusion tensor imaging. J. Cardiovasc. Magn. Res. 3:339-347, 2001.
36. Zhukov, L., and A. H. Barr. Heart-muscle fiber reconstruction from diffusion tensor MRI. Proc. IEEE Visualization 2003 (VIS'03), vol. 2003:597-602, 2003.