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Damage-free peripheral nerve stimulation by 12-ns pulsed electric field.
Casciola M
,
Xiao S
,
Pakhomov AG
.
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Modern technologies enable deeptissue focusing of nanosecond pulsed electric field (nsPEF) for non-invasive nerve and muscle stimulation. However, it is not known if PEF orders of magnitude shorter than the activation time of voltage-gated sodium channels (VGSC) would evoke action potentials (APs). One plausible scenario requires the loss of membrane integrity (electroporation) and resulting depolarization as an intermediate step. We report, for the first time, that the excitation of a peripheral nerve can be accomplished by 12-ns PEF without electroporation. 12-ns stimuli at 4.1-11 kV (3.3-8.8 kV/cm) evoked APs similarly to conventional stimuli (100-250 μs, 1-5 V, 103-515 V/m), except for having higher selectivity for the faster nerve fibers. Nerves sustained repeated tetanic stimulations (50 Hz or 100 Hz for 1 min) alternately by 12-ns PEF and by conventional pulses. Such tetani caused a modest AP decrease, to a similar extent for both types of stimuli. Nerve refractory properties were not affected. The lack of cumulative damages even from tens of thousands of 12-ns stimuli and the similarities with the conventional stimulation prove VGSC activation by nsPEF without nerve membrane damage.
Figure 1. Block diagram of the setup for 12-ns PEF stimulation. Isolated nerve is placed in the conduction chamber which permits switching between 12-ns PEF (red arrows) and conventional stimulation (blue arrows). See Fig. 2 and text for more details.
Figure 2. Conduction chamber design and electric stimulation of the nerve. (a) Schematic of the conduction chamber. The nerve (not shown) is placed atop the metal pins and the open central conductor of the coaxial line. (b) A photo of the chamber, with the approximate position of the nerve shown by a dashed line. (c) Scattering parameters of the conduction chamber. Modules of the reflection and transmission coefficients (|S11| and |S21|, respectively) over frequency as obtained from HFSS simulations (solid lines) and from VNA measurements (dashed lines). (d) The shape of the 12-ns pulse (top), with the width of 12â14âns at 50% height, and the spectrum of an ideal pulse used for simulations (10âns plateau, 1âns rise and fall times).
Figure 3. Electric field simulation results for conventional (a) and nsPEF (b) stimulation of the isolated nerve. Upper panels show the electric field distribution in a plane crossing the nerve perpendicular to stimulating electrodes. Note different values of the voltage input and different units for the electric field strength (1âV and V/m in a; 1âkV and kV/cm in b). Lower panels show the electric field values in the same plane, at four indicated depths into the nerve. For both conventional and nsPEF stimuli, action potentials in the nerve will be elicited at the cathode (pin 3). The electric field values reported elsewhere in this paper are the maximum values found over the cathode at the depth of 0.1875 mm into the nerve. See text for more details.
Figure 4. Compound action potentials (CAPs) evoked by conventional electrostimulation and by 12-ns PEF. (a) nsPEF elicit CAPs similar to conventional stimuli, but are selective for the excitation of fast fibers. Shown are CAP traces evoked by nsPEF at three different pulse voltages (solid lines) and by conventional stimulation (dashed line; stimulation parameters are given in the legends). Note that nsPEF at 7.2âkV elicits slightly larger response of the fastest fibers (Aα, first peak) than 250 µs, 2âV stimulation (330 and 300 µV, respectively) while the response of slower fibers (Aβ, the second peak) is 9-fold smaller (7 and 65 µV). (b) A 1-min, 100 stimuli/s tetanus using 12-ns, 11.6âkV pulses did not cause nerve damage. During the tetanus, CAP expectedly became smaller (central panel), but after a 1-min rest CAP evoked by conventional stimulation (right panel) was the same as before the stimulation (left panel; also shown by a dotted line in the right panel).
Figure 5. Tetanic stimulation (50âHz, 1âmin) by either conventional pulses or nsPEF does not change the nerve refractoriness. (a) The timeline and CAP traces from a representative experiment. Before and after each tetanus, CAPs were evoked by paired stimuli with interpulse intervals of 1, 1.5, 2, 3, and 4 ms. The tetani consisted of 3,000 single stimuli, either nsPEF (8âkV, 6.4âkV/cm) or conventional (2â4âV, 206â412âV/m), delivered with 50-ms intervals (1âmin total). Shown in panels 2 and 4 are CAPs evoked by the first and the last stimuli in each tetanus (the latter CAP is smaller). See text for more details. (b) The inhibition of the test CAPs as a function of the interpulse interval, before and after tetani (open and filled symbols, respectively). The amplitude of the conditioning CAP is taken as 100%. Meanâ+/ââ s.e., nâ=â8 for all groups. For clarity, error bars are shown in one direction only.
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