Calculation of optical signal using three-dimensional bidomain/diffusion model reveals distortion of the transmembrane potential

Biophysical Journal

Volumn 95, Issue 4, 2008, Pages 2097-2102

  Prior, Phillip ^a   Roth, Bradley J ^a  

^a OAKLAND UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BIOLOGICAL MODEL; CELL MEMBRANE; CELL MEMBRANE POTENTIAL; COMPUTER ASSISTED DIAGNOSIS; COMPUTER SIMULATION; DIAGNOSTIC IMAGING; METHODOLOGY; OPTICS; PHYSIOLOGY; THREE DIMENSIONAL IMAGING; ULTRASTRUCTURE;

CELL MEMBRANE; COMPUTER SIMULATION; DIAGNOSTIC IMAGING; IMAGE INTERPRETATION, COMPUTER-ASSISTED; IMAGING, THREE-DIMENSIONAL; MEMBRANE POTENTIALS; MODELS, BIOLOGICAL; OPTICS;

EID: 50349099106     PISSN: 00063495     EISSN: 15420086     Source Type: Journal    
DOI: 10.1529/biophysj.107.127852     Document Type: Article

References (34)

1. Roth, B. J., and W. Krassowska. 1998. The induction of reentry in cardiac tissue. The missing link: How electric fields alter transmembrane potential. Chaos. 8:204-220.
2. Rosenbaum, D. S., and J. Jalife. 2001. Optical Mapping of Cardiac Excitation and Arrhythmias. Futura, Armonk, NY.
3. Knisley, S. B., B. C. Hill, and R. E. Ideker. 1994. Virtual electrode effects in myocardial fibers. Biophys. J. 66:719-728.
4. Gray, R. A. 1999. What exactly are optically recorded 'action potentials'? J. Cardiovasc. Electrophysiol. 10:1463-1466.
5. Knisley, S. B. 1995. Transmembrane voltage changes during unipolar stimulation of rabbit ventricle. Circ. Res. 77:1229-1239.
6. Girouard, S. D., K. R. Laurita, and D. S. Rosenbaum. 1996. Unique properties of cardiac action potentials recorded with voltage-sensitive dyes. J. Cardiovasc. Electrophysiol. 7:1024-1038.
7. Al-Khadra, A., V. Nikolski, and I. R. Efimov. 2000. The role of electroporation in defibrillation. Circ. Res. 87:797-804.
8. Baxter, W. T., S. F. Mironov, A. V. Zaitsev, J. Jalife, and A. M. Pertsov. 2001. Visualizing excitation waves inside cardiac muscle using transillumination. Biophys. J. 80:516-530.
9. Sepulveda, N. G., B. J. Roth, and J. P. Wikswo, Jr. 1989. Current injection into a two-dimensional anisotropic bidomain. Biophys. J. 55:987-990.
10. Roth, B. J. 1995. A mathematical model of make and break electrical stimulation of cardiac tissue by a unipolar anode or cathode. IEEE Trans. Biomed. Eng. 42:1174-1184.
11. Patel, S. G., and B. J. Roth. 2000. How electrode size affects the electric potential distribution in cardiac tissue. IEEE Trans. Biomed. Eng. 47:1284-1287.
12. Latimer, D. C., and B. J. Roth. 1998. Electrical stimulation of cardiac tissue by a bipolar electrode in a conductive bath. IEEE Trans. Biomed. Eng. 45:1449-1458.
13. Neunlist, M., and L. Tung. 1995. Spatial distribution of cardiac transmembrane potentials around an extracellular electrode: Dependence on fiber orientation. Biophys. J. 68:2310-2322.
14. Wikswo, J. P., Jr., S.-F. Lin, and R. A. Abbas. 1995. Virtual electrodes in cardiac tissue: A common mechanism for anodal and cathodal stimulation. Biophys. J. 69:2195-2210.
15. Janks, D. L., and B. J. Roth. 2002. Averaging over depth during optical mapping of unipolar stimulation. IEEE Trans. Biomed. Eng. 49:1051-1054.
16. Akar, F. G., B. J. Roth, and D. S. Rosenbaum. 2001. Optical measurement of cell-to-cell coupling in intact heart using subthreshold electrical stimulation. Am. J. Physiol. 281:H533-H542.
17. Poelzing, S., B. J. Roth, and D. S. Rosenbaum. 2005. Optical measurements reveal nature of intercellular coupling across ventricular wall. Am. J. Physiol. 289:H1428-H1435.
18. Henriquez, C. S. 1993. Simulating the electrical behavior of cardiac tissue using the bidomain model. Crit. Rev. Biomed. Eng. 21:1-77.
19. Roth, B. J. 1997. Electrical conductivity values used with the bidomain model of cardiac tissue. IEEE Trans. Biomed. Eng. 44:326-328.
20. Ishimaru, A. 1997. Wave Propagation and Scattering in Random Media. IEEE Press, Piscataway, NJ.
21. Ding, L., R. Splinter, and S. B. Knisley. 2001. Quantifying spatial localization of optical mapping using Monte Carlo simulations. IEEE Trans. Biomed. Eng. 48:1098-1107.
22. Flock, S. T., M. S. Patterson, B. C. Wilson, and D. R. Wyman. 1989. Monte Carlo modeling of light propagation in highly scattering tissue - I: Model predictions and comparison with diffusion theory. IEEE Trans. Biomed. Eng. 36:1162-1168.
23. Hemenger, R. P. 1977. Optical properties of turbid media with specularly reflecting boundaries: Applications to biological problems. Appl. Opt. 16:2007-2012.
24. Haskell, R. C., L. O. Svaasand, T.-T. Tsay, T.-C. Feng, M. S. McAdams, and B. J. Tromberg. 1994. Boundary conditions for the diffusion equation in radiative transfer. J. Opt. Soc. Am. A Opt. Image Sci. Vis. 11:2727-2741.
25. Hyatt, C. J., S. F. Mironov, M. Wellner, O. Berenfeld, A. K. Popp, D. A. Weitz, J. Jalife, and A. M. Pertsov. 2003. Synthesis of voltage-sensitive fluorescence signals from three-dimensional myocardial activation patterns. Biophys. J. 85:2673-2683.
26. Bishop, M. J., B. Rodriguez, J. Eason, J. P. Whiteley, N. Trayanova, and D. J. Gavaghan. 2006. Synthesis of voltage-sensitive optical signals: Application to panoramic optical mapping. Biophys. J. 90:2938-2945.
27. Lin, S.-F., and J. P. Wikswo, Jr. 1999. Panoramic optical imaging of electrical propagation in isolated heart. J. Biomed. Opt. 4:200-207.
28. Efimov, I., V. Sidorov, Y. Cheng, and B. Wollenzier. 1999. Evidence of three-dimensional scroll waves with ribbon-shaped filaments as a mechanism of ventricular tachycardia in the isolated rabbit heart. J. Cardiovasc. Electrophysiol. 10:1452-1462.
29. Bernus, O., M. Wellner, S. F. Mironov, and A. M. Pertsov. 2005. Simulation of voltage-sensitive optical signals in three-dimensional slabs of cardiac tissue: Application to transillumination and coaxial imaging methods. Phys. Med. Biol. 50:215-229.
30. Bishop, M. J., B. Rodriguez, F. Qu, I. R. Efimov, D. J. Gavaghan, and N. A. Trayanova. 2007. The role of photon scattering in optical signal distortion during arrhythmia and defibrillation. Biophys. J. 93:3714-3726.
31. Roth, B. J. 2008. Photon density measured over a cut surface: Implications for optical mapping of the heart. IEEE Trans. Biomed. Eng. In press.
32. Cheng, D. K.-L., L. Tung, and E. A. Sobie. 1999. Nonuniform responses of transmembrane potential during electric field stimulation of single cardiac cells. Am. J. Physiol. 277:H351-H362.
33. Cheek, E. R., R. E. Ideker, and V. G. Fast. 2000. Nonlinear changes of transmembrane potential during defibrillation shocks. Circ. Res. 87:453-459.
34. Roth, B. J. 2002. Artifacts, assumptions, and ambiguity: Pitfalls in comparing experimental results to numerical simulations when studying electrical stimulation of the heart. Chaos. 12:973-981.