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. Author manuscript; available in PMC: 2020 Jan 1.
Published in final edited form as: Brain Stimul. 2018 Oct 17;12(1):62–72. doi: 10.1016/j.brs.2018.10.007

Table 1:

FEM SCS Bio-heat model predicts temperature increases (ΔT) in fat around the Lead, the surface of spinal cord (SC), and the proximal origin of dorsal Root, as a function of stimulation waveform and intensity (I), for passive (A.) and active (B.) tissue models. For each waveform (top row) the corresponding Pulse Compression Factor (PCF) is indicated (see Methods). For each waveform and intensity simulation, the corresponding RMS is indicated. In addition to increments of 1 mA peak, 3.5 mA peak is also simulation (grey rows).

A. Passive heating
10 KHz (40–10–40 μs) 5 KHz (40–10–40 μs) 1 KHz (40–100–40 μs) 1 KHz (100–100–100 μs) 100 Hz (200–100–200 μs) 50 Hz (200–100–200 μs)
PCF 6.32 4.47 2.00 3.16 1.41 1.00
l (mA) ΔT (0C) ΔT (0C) ΔT (0C) ΔT (0C) ΔT (0C) ΔT (0C)
Peak RMS Lead SC Root RMS Lead SC Root RMS Lead SC Root RMS Lead SC Root RMS Lead SC Root RMS Lead SC Root
1.0 0.89 0.34 0.07 0.03 0.63 0.17 0.04 0.02 0.28 0.03 0.01 0.00 0.47 0.08 0.02 0.01 0.20 0.02 0.00 0.00 0.14 0.01 0.00 0.00
2.0 1.78 1.32 0.29 0.12 1.26 0.67 0.14 0.06 0.56 0.13 0.03 0.01 0.89 0.33 0.07 0.03 0.40 0.07 0.01 0.01 0.28 0.03 0.01 0.00
3.0 2.68 3.03 0.65 0.27 1.89 1.49 0.32 0.14 0.84 0.29 0.06 0.03 1.34 0.75 0.16 0.07 0.60 0.15 0.03 0.01 0.42 0.08 0.02 0.01
3.5 3.13 4.11 0.84 0.35 2.21 2.05 0.43 0.18 0.98 0.40 0.09 0.04 1.57 1.01 0.22 0.09 0.70 0.21 0.04 0.02 0.49 0.10 0.02 0.01
4.0 3.57 5.24 1.15 0.49 2.53 2.63 0.57 0.24 1.12 0.53 0.11 0.05 1.79 1.31 0.28 0.12 0.80 0.27 0.06 0.02 0.57 0.13 0.03 0.01
5.0 4.47 8.31 1.79 0.76 3.16 4.15 0.90 0.38 1.41 0.82 0.18 0.07 2.24 2.04 0.44 0.19 1.00 0.41 0.09 0.04 0.71 0.21 0.04 0.02
B. Active heating (Perfusion and MHR)
10 KHz (40–10–40 μs) 5 KHz (40–10–40 μs) 1 KHz (40–100–40 μs) 1 KHz (100–100–100 μs) 100 Hz (200–100–200 μs) 50 Hz (200–100–200 μs)
PCF 6.32 4.47 3.16 2.00 1.41 1.00
l (mA) ΔT (0C) ΔT (0C) ΔT (0C) ΔT (0C) ΔT (0C) ΔT (0C)
Peak RMS Lead SC Root RMS Lead SC Root RMS Lead SC Root RMS Lead SC Root RMS Lead SC Root RMS Lead SC Root
1.0 0.89 0.30 0.02 0.01 0.63 0.15 0.01 0.00 0.28 0.03 0.00 0.00 0.47 0.08 0.00 0.00 0.20 0.02 0.00 0.00 0.14 0.01 0.00 0.00
2.0 1.78 1.19 0.12 0.03 1.26 0.59 0.05 0.01 0.56 0.12 0.01 0.00 0.89 0.31 0.02 0.01 0.40 0.06 0.00 0.00 0.28 0.03 0.00 0.00
3.0 2.68 2.69 0.27 0.06 1.89 1.33 0.13 0.03 0.84 0.26 0.02 0.01 1.34 0.68 0.07 0.02 0.60 0.13 0.01 0.01 0.42 0.07 0.00 0.00
3.5 3.13 3.60 0.37 0.08 2.21 1.78 0.18 0.04 0.98 0.35 0.03 0.01 1.57 0.92 0.09 0.02 0.70 0.19 0.01 0.01 0.49 0.09 0.00 0.01
4.0 3.57 4.71 0.49 0.10 2.53 2.37 0.24 0.05 1.12 0.45 0.04 0.01 1.79 1.21 0.12 0.03 0.80 0.24 0.02 0.01 0.57 0.12 0.01 0.01
5.0 4.47 7.25 0.77 0.16 3.16 3.69 0.38 0.08 1.41 0.73 0.07 0.02 2.24 1.89 0.19 0.04 1.00 0.39 0.03 0.01 0.71 0.19 0.01 0.01
*

Pulse Compression factor (PCF)