caa a22 4500 465739814 CHVBK 20180323111805.0 cr unu---uuuuu 170327e19900501xx s 000 0 eng 10.1007/BF02368439 doi (NATIONALLICENCE)springer-10.1007/BF02368439 Extracellular potentials and currents of a single active fiber in a restricted volume conductor [Elektronische Daten] [Natalia Trayanova, Craig Henriquez, Robert Plonsey] Based on mathematical expressions governing the electric field, the extracellular potentials generated by a single active fiber in a restricted circular cylindrical volume conductor are evaluated. This paper examines the effect of the extent of the volume conductor, with radius b, on the extracellular potentials at different field points. For values of b less than 1.5 times the fiber radius, the extracellular potentials in the volume conductor are always the core conductor potentials, independent of the shape and amplitude of the transmembrane potential. For b greater than a critical radius (a value that depends on the transmembrane potential waveform), the extracellular potentials at and near the membrane are the same as if the volume conductor were unbounded. Near the boundary with the insulator, the amplitude of the extracellular potentials is equal to the core conductor amplitude, although the potentials are much broader than the core conductor potential. Pergamon Press plc, 1990 Extracellular potential nationallicence Cardiac fiber nationallicence Core conductor nationallicence Transverse potential nationallicence a : fiber radius (m) nationallicence b : radius of cylindrical volume conductor (m) nationallicence σ i : intracellular conductivity (S/m) nationallicence σ o : extracellular conductivity (S/m) nationallicence ρ′ : radial coordinate of field point (m) nationallicence z ′ : axial coordinate of field point (m) nationallicence V m (z) : transmembrane potential (V) nationallicence Φ i : intracellular potential (V) nationallicence Φ o : extracellular potential (V) nationallicence k : spatial frequency (1/m) nationallicence k c : cut-off frequency (1/m) nationallicence V m ( k ) : Fourier transform ofV m (z) nationallicence ℱ : Fourier transform operator nationallicence ℱ−1 : inverse Fourier transform operator nationallicence α : conductivity ratio σ i /σ o nationallicence r i : intracellular resistance per unit length (Ω/m) nationallicence r o : extracellular resistance per unit length (Ω/m) nationallicence J o ρ : extracellular radial current density (A/m2) nationallicence J oz : extracellular axial current density (A/m2) nationallicence J i ρ : intracellular radial current density (A/m2) nationallicence J iz : intracellular axial current density (A/m2) nationallicence Φ i m : intracellular potential at inner membrane (V) nationallicence Φ o m : extracellular potential at outer membrane (V) nationallicence Trayanova Natalia Central Laboratory of Biophysics, Bulgarian Academy of Sciences, Sofia, Bulgaria aut Henriquez Craig Department of Biomedical Engineering, Duke University, 27706, Durham, North Carolina aut Plonsey Robert Department of Biomedical Engineering, Duke University, 27706, Durham, North Carolina aut Annals of Biomedical Engineering Kluwer Academic Publishers 18/3(1990-05-01), 219-238 0090-6964 18:3<219 1990 18 10439 https://doi.org/10.1007/BF02368439 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02368439 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Trayanova Natalia Central Laboratory of Biophysics, Bulgarian Academy of Sciences, Sofia, Bulgaria aut NATIONALLICENCE 700 1- Henriquez Craig Department of Biomedical Engineering, Duke University, 27706, Durham, North Carolina aut NATIONALLICENCE 700 1- Plonsey Robert Department of Biomedical Engineering, Duke University, 27706, Durham, North Carolina aut NATIONALLICENCE 773 0- Annals of Biomedical Engineering Kluwer Academic Publishers 18/3(1990-05-01), 219-238 0090-6964 18:3<219 1990 18 10439 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer