The "mirror" estimate: An intuitive predictor of membrane polarization during extracellular stimulation

Biophysical Journal

Volumn 96, Issue 9, 2009, Pages 3495-3508

  Joucla, Sébastien ^a   Yvert, Blaise ^a  

^a UNIVERSITÉ DE BORDEAUX   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CELL ACTIVATION; CELL MEMBRANE; CENTRAL NERVOUS SYSTEM; CONCEPTUAL FRAMEWORK; ELECTRODE; EXTRACELLULAR SPACE; FIBER; MEMBRANE POTENTIAL; MEMBRANE STEADY POTENTIAL; POLARIZATION; PREDICTION; STIMULATION; STIMULUS; VALIDITY; ANIMAL; BRAIN; CAT; CELL MEMBRANE POTENTIAL; COMPUTER PROGRAM; COMPUTER SIMULATION; CYTOLOGY; ELECTROSTIMULATION; NERVE CELL; NONMYELINATED NERVE; PHYSIOLOGY; TIME;

ANIMALS; BRAIN; CATS; CELL MEMBRANE; COMPUTER SIMULATION; ELECTRIC STIMULATION; EXTRACELLULAR SPACE; MEMBRANE POTENTIALS; NERVE FIBERS, UNMYELINATED; NEURONS; SOFTWARE; TIME FACTORS;

EID: 62849115147     PISSN: 00063495     EISSN: 15420086     Source Type: Journal    
DOI: 10.1016/j.bpj.2008.12.3961     Document Type: Article

References (52)

1. Ranck, Jr., J. B. 1975. Which elements are excited in electrical stimulation of mammalian central nervous system: a review. Brain Res. 98:417-440.
2. McNeal, D. R. 1976. Analysis of a model for excitation of myelinated nerve. IEEE Trans. Biomed. Eng. 23:329-337.
3. Rattay, F. 1986. Analysis of models for external stimulation of axons. IEEE Trans. Biomed. Eng. 33:974-977.
4. Rubinstein, J. T., and F. A. Spelman. 1988. Analytical theory for extracellular electrical stimulation of nerve with focal electrodes. I. Passive unmyelinated axon. Biophys. J. 54:975-981.
5. Rattay, F. 1989. Analysis of models for extracellular fiber stimulation. IEEE Trans. Biomed. Eng. 36:676-682.
6. Coburn, B. 1989. Neural modeling in electrical stimulation. Crit. Rev. Biomed. Eng. 17:133-178.
7. Altman, K. W., and R. Plonsey. 1990. Point source nerve bundle stimulation: effects of fiber diameter and depth on simulated excitation. IEEE Trans. Biomed. Eng. 37:688-698.
8. Altman, K. W., and R. Plonsey. 1990. Analysis of excitable cell activation: relative effects of external electrical stimuli. Med. Biol. Eng. Comput. 28:574-580.
9. Roth, B. J., and P. J. Basser. 1990. A model of the stimulation of a nerve fiber by electromagnetic induction. IEEE Trans. Biomed. Eng. 37:588-597.
10. Basser, P. J., and B. J. Roth. 1991. Stimulation of a myelinated nerve axon by electromagnetic induction. Med. Biol. Eng. Comput. 29:261-268.
11. Rubinstein, J. T. 1991. Analytical theory for extracellular electrical stimulation of nerve with focal electrodes. II. Passive myelinated axon. Biophys. J. 60:538-555.
12. Warman, E. N., W. M. Grill, and D. Durand. 1992. Modeling the effects of electric fields on nerve fibers: determination of excitation thresholds. IEEE Trans. Biomed. Eng. 39:1244-1254.
13. Struijk, J. J., J. Holsheimer, G. G. van der Heide, and H. B. Boom. 1992. Recruitment of dorsal column fibers in spinal cord stimulation: influence of collateral branching. IEEE Trans. Biomed. Eng. 39:903-912.
14. Struijk, J. J., J. Holsheimer, and H. B. Boom. 1993. Excitation of dorsal root fibers in spinal cord stimulation: a theoretical study. IEEE Trans. Biomed. Eng. 40:632-639.
15. Nagarajan, S. S., D. M. Durand, and E. N. Warman. 1993. Effects of induced electric fields on finite neuronal structures: a simulation study. IEEE Trans. Biomed. Eng. 40:1175-1188.
16. Rubinstein, J. T. 1993. Axon termination conditions for electrical stimulation. IEEE Trans. Biomed. Eng. 40:654-663.
17. Roth, B. J. 1994. Mechanisms for electrical stimulation of excitable tissue. Crit. Rev. Biomed. Eng. 22:253-305.
18. Plonsey, R., and R. C. Barr. 1995. Electric field stimulation of excitable tissue. IEEE Trans. Biomed. Eng. 42:329-336.
19. Plonsey, R., and R. C. Barr. 1998. Electric field stimulation of excitable tissue. IEEE Eng. Med. Biol. Mag. 17:130-137.
20. Rattay, F. 1999. The basic mechanism for the electrical stimulation of the nervous system. Neuroscience. 89:335-346.
21. McIntyre, C. C., and W. M. Grill. 1999. Excitation of central nervous system neurons by nonuniform electric fields. Biophys. J. 76:878-888.
22. Basser, P. J., and B. J. Roth. 2000. New currents in electrical stimulation of excitable tissues. Annu. Rev. Biomed. Eng. 2:377-397.
23. Schnabel, V., and J. J. Struijk. 2001. Evaluation of the cable model for electrical stimulation of unmyelinated nerve fibers. IEEE Trans. Biomed. Eng. 48:1027-1033.
24. McIntyre, C. C., and W. M. Grill. 2002. Extracellular stimulation of central neurons: influence of stimulus waveform and frequency on neuronal output. J. Neurophysiol. 88:1592-1604.
25. McIntyre, C. C., W. M. Grill, D. L. Sherman, and N. V. Thakor. 2004. Cellular effects of deep brain stimulation: model-based analysis of activation and inhibition. J. Neurophysiol. 91:1457-1469.
26. Lertmanorat, Z., and D. M. Durand. 2004. A novel electrode array for diameter-dependent control of axonal excitability: a simulation study. IEEE Trans. Biomed. Eng. 51:1242-1250.
27. Lertmanorat, Z., and D. M. Durand. 2004. Extracellular voltage profile for reversing the recruitment order of peripheral nerve stimulation: a simulation study. J. Neural Eng. 1:202-211.
28. Mino, H., J. T. Rubinstein, C. A. Miller, and P. J. Abbas. 2004. Effects of electrode-to-fiber distance on temporal neural response with electrical stimulation. IEEE Trans. Biomed. Eng. 51:13-20.
29. Vuckovic, A., N. J. Rijkhoff, and J. J. Struijk. 2004. Different pulse shapes to obtain small fiber selective activation by anodal blocking - a simulation study. IEEE Trans. Biomed. Eng. 51:698-706.
30. Manola, L., B. H. Roelofsen, J. Holsheimer, E. Marani, and J. Geelen. 2005. Modelling motor cortex stimulation for chronic pain control: electrical potential field, activating functions and responses of simple nerve fibre models. Med. Biol. Eng. Comput. 43:335-343.
31. Manola, L., J. Holsheimer, P. Veltink, and J. R. Buitenweg. 2007. Anodal vs. cathodal stimulation of motor cortex: a modeling study. Clin. Neurophysiol. 118:464-474.
32. Plonsey, R. 1969. Bioelectric Phenomena. McGraw-Hill, New York.
33. Church, P., A. Leduc, R. A. Beique, and J. R. Derome. 1984. A numerical solution of cylindrical coordinate Laplace's equation with mixed boundary conditions along the axis of symmetry: application to intracerebral stimulating electrodes. J. Appl. Phys. 56:1-5.
34. Fromherz, P. 2002. Sheet conductor model of brain slices for stimulation and recording with planar electronic contacts. Eur. Biophys. J. 31:228-231.
35. Struijk, J. J., J. Holsheimer, B. K. van Veen, and H. B. Boom. 1991. Epidural spinal cord stimulation: calculation of field potentials with special reference to dorsal column nerve fibers. IEEE Trans. Biomed. Eng. 38:104-110.
36. McIntyre, C. C., and W. M. Grill. 2001. Finite element analysis of the current-density and electric field generated by metal microelectrodes. Ann. Biomed. Eng. 29:227-235.
37. Joucla, S., and B. Yvert. 2009. Improved focalization of electrical microstimulation using microelectrode arrays: a modeling study. PLoS ONE. 4:e4828.
38. Knisley, S. B. 2000. Evidence for roles of the activating function in electric stimulation. IEEE Trans. Biomed. Eng. 47:1114-1119.
39. Zierhofer, C. M. 2001. Analysis of a linear model for electrical stimulation of axons - critical remarks on the "activating function concept". IEEE Trans. Biomed. Eng. 48:173-184.
40. Dayan, P., and L. F. Abbott. 2001. Theoretical Neuroscience. MIT Press, Cambridge, Massachusetts.
41. Hines, M. L., and N. T. Carnevale. 1997. The NEURON simulation environment. Neural Comput. 9:1179-1209.
42. Mainen, Z. F., J. Joerges, J. R. Huguenard, and T. J. Sejnowski. 1995. A model of spike initiation in neocortical pyramidal neurons. Neuron. 15:1427-1439.
43. Mainen, Z. F., and T. J. Sejnowski. 1996. Influence of dendritic structure on firing pattern in model neocortical neurons. Nature. 382:363-366.
44. Sobie, E. A., R. C. Susil, and L. Tung. 1997. A generalized activating function for predicting virtual electrodes in cardiac tissue. Biophys. J. 73:1410-1423.
45. Altman, K. W., and R. Plonsey. 1988. Development of a model for point source electrical fibre bundle stimulation. Med. Biol. Eng. Comput. 26:466-475.
46. Jean-Xavier, C., G. Z. Mentis, M. J. O'Donovan, D. Cattaert, and L. Vinay. 2007. Dual personality of GABA/glycine-mediated depolarizations in immature spinal cord. Proc. Natl. Acad. Sci. USA. 104:11477-11482.
47. Barrett, J. N., and W. E. Crill. 1974. Specific membrane properties of cat motoneurons. J. Physiol. 239:301-324.
48. Fleshman, J. W., I. Segev, and R. B. Burke. 1988. Electrotonic architecture of type-identified alpha-motoneurons in the cat spinal cord. J. Neurophysiol. 60:60-85.
49. Turner, D. A., and P. A. Schwartzkroin. 1983. Electrical characteristics of dendrites and dendritic spines in intracellularly stained CA3 and dentate hippocampal neurons. J. Neurosci. 3:2381-2394.
50. Turner, D. A., and P. A. Schwartzkroin. 1980. Steady-state electrotonic analysis of intracellularly stained hippocampal neurons. J. Neurophysiol. 44:184-199.
51. Spruston, N., D. B. Jaffe, and D. Johnston. 1994. Dendritic attenuation of synaptic potentials and currents: the role of passive membrane properties. Trends Neurosci. 17:161-166.
52. Andrietti, F., and G. Bernardini. 1984. Segmented and "equivalent" representation of the cable equation. Biophys. J. 46:615-623.