Transmembrane potential induced in a spherical cell model under low-frequency magnetic stimulation

Journal of Neural Engineering

Volumn 4, Issue 3, 2007, Pages 283-293

  Ye, Hui ^a,b   Cotic, Marija ^c   Carlen, Peter L ^a,b  

^a UNIVERSITY HEALTH NETWORK   (Canada)

^b UNIVERSITY OF TORONTO   (Canada)

^c UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL EXPRESSIONS; CELL POLARIZATION; CLINICAL APPLICATION; COIL DESIGNS; DIFFERENT SHAPES; ELECTRIC STIMULATION; ELECTRICAL PARAMETER; EXTRACELLULAR MEDIUM; LOW FREQUENCY MAGNETIC FIELDS; MAGNETIC STIMULATION; MICROSCOPIC LEVELS; NEURONAL STRUCTURE; NEURONAL TISSUES; NONHOMOGENEITY; PERIPHERAL NERVES; RELATIVE POSITIONING; SPHERICAL CELLS; STIMULATION INTENSITY; STIMULATION PARAMETERS; THEORETICAL STUDY; TIME-VARYING MAGNETIC FIELDS; TRANSCRANIAL MAGNETIC STIMULATION; TRANSMEMBRANE POTENTIALS;

BIOELECTRIC POTENTIALS; CELLS; CYTOLOGY; ELECTRIC FIELDS; ELECTROPHYSIOLOGY; ELECTROTHERAPEUTICS; FUNCTIONAL ELECTRIC STIMULATION; MAGNETIC FIELDS; NEURONS; PHYSIOLOGICAL MODELS; POLARIZATION; SPHERES; TISSUE; WELL STIMULATION;

STRUCTURAL DESIGN;

ARTICLE; BIOLOGICAL MODEL; CELL MEMBRANE POTENTIAL; COMPUTER SIMULATION; ELECTROSTIMULATION; MAGNETISM; METHODOLOGY; NERVE CELL; PHYSIOLOGY; RADIATION EXPOSURE;

COMPUTER SIMULATION; ELECTRIC STIMULATION; MAGNETICS; MEMBRANE POTENTIALS; MODELS, NEUROLOGICAL; NEURONS;

EID: 49849086958     PISSN: 17412560     EISSN: 17412552     Source Type: Journal    
DOI: 10.1088/1741-2560/4/3/014     Document Type: Article

References (43)

1. Anninos P A, Tsagas N, Jacobson J I and Kotini A 1999 The biological effects of magnetic stimulation in epileptic patients Panminerva Med. 41 207-15
2. Anninos P A, Tsagas N, Sandyk R and Derpapas K 1991 Magnetic stimulation in the treatment of partial seizures Int. J. Neurosci. 60 141-71
3. Barker A T, Freeston I L and Garnham C W 1990 Measurement of cortical and peripheral neural membrane time constant in man using nerve stimulation J. Physiol. 423 66P (Pubitemid 20137704)
4. Carbunaru R and Durand D M 1997 Axonal stimulation under MRI magnetic field z gradients: a modeling study Magn. Reson. Med. 38 750-8 (Pubitemid 27467714)
5. Cohen D 1984 Feasibility of magnetic stimulator for the brain Biomagnetism: Application and Theory ed H Weinberg, G Stroink and T Katila (Oxford: Pergamon) pp 466-70
6. d'Arsonval J A 1896 Dispositifs pour la mesure des courants alternatifs de toutes frequencies C. R. Soc. Biol. (Paris) 2 450-1
7. Durand D M 2003 Electrical field effects in hyperexcitable neural tissue: a review Radiat. Prot. Dosim. 106 325-31 (Pubitemid 37540480)
8. Eaton H 1992 Electric field induced in a spherical volume conductor from arbitrary coils: application to magnetic stimulation and MEG Med. Biol. Eng. Comput. 30 433-40 (Pubitemid 23627342)
9. Epstein C M and Davey K 2002 Iron-core coils for transcranial magnetic stimulation J. Clin. Neurophysiol. 19 376-81 (Pubitemid 35304371)
10. Ghai R S, Bikson M and Durand D M 2000 Effects of applied electric fields on low-calcium epileptiform activity in the CA1 region of rat hippocampal slices J. Neurophysiol. 84 274-80 (Pubitemid 30490048)
11. Gimsa U, Schreiber U, Habel B, Flehr J, Rienen U V and Gimsa J 2006 Matching geometry and stimulation parameters of electrodes for deep brain stimulation experiments-numerical considerations J. Neurosci. Methods 150 212-27 (Pubitemid 43144458)
12. Gimsa J and Wachner D 2001 On the analytical description of transmembrane voltage induced on spheroidal cells with zero membrane conductance Eur. Biophys. J. 30 463-6 (Pubitemid 32999225)
13. Hodgkin A L and Huxley A F 1952 A quantitative description of membrane current and its application to conduction and excitation in nerve J. Physiol. 117 500-44
14. Holsheimer J 1987 Electrical conductivity of the hippocampal CA1 layers and application to current-source-density analysis Exp. Brain Res. 67 402-10 (Pubitemid 17105391)
15. Jerry R A, Popel A S and Brownell W E 1996 Potential distribution for a spheroidal cell having a conductive membrane in an electric field IEEE Trans. Biomed. Eng. 43 970-2 (Pubitemid 26282071)
16. Kobayashi M and Pascual-Leone A 2003 Transcranial magnetic stimulation in neurology Lancet Neurol. 2 145-56 (Pubitemid 37443319)
17. Kotnik T, Bobanovic F and Miklavcic D 1997 Sensitivity of transmembrane voltage induced by applied electric fields-a theoretical analysis Bioelectrochem. Bioenerg. 43 285-91 (Pubitemid 27465762)
18. Kotnik T and Miklavcic D 2000a Analytical description of transmembrane voltage induced by electric fields on spheroidal cells Biophys. J. 79 670-9 (Pubitemid 30626164)
19. Kotnik T and Miklavcic D 2000b Second-order model of membrane electric field induced by alternating external electric fields IEEE Trans. Biomed. Eng. 47 1074-81 (Pubitemid 30614841)
20. Kotnik T and Miklavcic D 2006 Theoretical evaluation of voltage inducement on internal membranes of biological cells exposed to electric fields Biophys. J. 90 480-91
21. Kotnik T, Miklavcic D and Slivnik T 1998 Time course of transmembrane voltage induced by time-varying electric field-a method for theoretical analysis and its application Bioelectrochem. Bioenerg. 45 3-16 (Pubitemid 28264400)
22. Krasteva V T Z, Papazov S P and Daskalov I K 2003 Peripheral nerve magnetic stimulation: influence of tissue non-homogeneity Biomed. Eng. Online 2 19 (Pubitemid 38824756)
23. Lee D C and Grill W M 2005 Polarization of a spherical cell in a nonuniform extracellular electric field Ann. Biomed. Eng. 33 603-15 (Pubitemid 40890922)
24. McIntyre C C and Grill W M 1999 Excitation of central nervous system neurons by nonuniform electric fields Biophys. J. 76 878-88 (Pubitemid 29264567)
25. McIntyre C C, Grill W M, Sherman D L and Thakor N V 2004 Cellular effects of deep brain stimulation: model-based analysis of activation and inhibition J. Neurophysiol. 91 1457-69 (Pubitemid 38339318)
26. Miranda P C, Hallett M and Basser P J 2003 The electric field induced in the brain by magnetic stimulation: a 3D finite-element analysis of the effect of tissue heterogeneity and anisotropy IEEE Trans. Biomed. Eng. 50 1074-85 (Pubitemid 37047557)
27. Nagarajan S S and Durand M D 1995 Analysis of magnetic stimulation of a concentric axon in a nerve bundle IEEE Trans. Biomed. Eng. 42 926-33
28. Nagarajan S S and Durand M D 1996 A generalized cable equation for magnetic stimulation of axons IEEE Trans. Biomed. Eng. 43 304-12 (Pubitemid 26076050)
29. Nagarajan S S, Durand D M and Hsuing-Hsu K 1997 Mapping location of excitation during magnetic stimulation: effects of coil position Ann. Biomed. Eng. 25 112-25
30. Polk C and Song J H 1990 Electric fields induced by low frequency magnetic fields in inhomogenous biological structures that are surrounded by an electric insulator Bioelectromagnetics 11 235-49
31. Polson M J, Barker A T and Freeston I L 1982 Stimulation of nerve trunks with time-varying magnetic fields Med. Biol. Eng. Comput. 20 243-4 (Pubitemid 12185616)
32. Pucihar G, Kotnik T, Valic B and Miklavcic D 2006 Numerical determination of transmembrane voltage induced on irregularly shaped cells Ann. Biomed. Eng. 34 642-52
33. Rattay F 1998 Analysis of electrical excitation of CNS neurons IEEE Trans. Biomed. Eng. 45 766-72 (Pubitemid 28294280)
34. Roth B J and Basser P J 1990 A model for stimulation of a nerve fiber by electromagnetic induction IEEE Trans. Biomed. Eng. 37 588-97 (Pubitemid 20245830)
35. Roth Y, Zangen A and Hallett M 2002 A coil design for transcranial magnetic stimulation of deep brain regions J. Clin. Neurophysiol. 19 361-70 (Pubitemid 35304369)
36. Rotem A and Moses E 2006 Magnetic stimulation of curved nerves IEEE Trans. Biomed. Eng. 53 414-20 (Pubitemid 43288818)
37. Ruhonen J and Ilmoniemi R J 1998 Focusing and targeting of magnetic brain stimulation using multiple coils Med. Biol. Eng. Comput. 38 297-301 (Pubitemid 28258606)
38. Sandyk R, Anninos P A, Tsagas N and Derpapas K 1992 Magnetic fields in the treatment of Parkinson's disease Int. J. Neurosci. 63 141-50
39. Schwan H P 1957 Electrical properties of tissue and cell suspensions Adv. Biol. Med. Phys. 5 147-209
40. Stratton J A 1941 Electromagnetic Theory (New York: McGraw-Hill)
41. Teruel M N and Meyer T 1997 Electroporation-induced formation of individual calcium entry sites in the cell body and processes of adherent cells Biophys. J. 73 1785-96 (Pubitemid 27425709)
42. Thompson S P 1910 A physiological effect of an alternating magnetic field Proc. R. Soc. 82 396-8
43. Tofts P S and Branston N M 1991 The measurement of electric field, and the influence of surface charge, in magnetic stimulation Electroencephalogr. Clin. Neurophysiol. 81 238-9