Empirical assessments on phantoms are essential to assess the health risks associated with performing EEG recordings concurrently with fMRI in humans; however they are time consuming limiting our capability to adequately investigate the range of scenarios encountered in real-world applications. Electromagnetic (EM) computational simulations can help to address this limitation, if they can be performed efficiently enough. Here we assessed the improvements of computational efficiency obtained by simplifying the representation of brain-indwelling EEG electrodes for EM simulations. The observed differences in estimated SAR between the full and simplified models can be understood in terms of a simple heuristic model.
Finite Difference Time Domain Method (FDTD) electromagnetic (EM) simulations were performed on a phantom8 using Sim4Life (version 3.2.2.1577; ZMT, Switzerland). Two models of a depth icEEG electrode were created: 1) Complete: 8 cylindrical contacts (perfect electrical conductor; diameter: 0.8mm, thickness: 0.15mm, length: 2.4mm), equally spaced (5mm) along the length of the electrode and each connected to a microwire running through the hollow electrode silicon tubing (following the design of an electrode model in common clinical use for the investigation of patients with severe epilepsy (SD08R-SP05X-000, Ad-tech, USA). 2) Simplified: a single electrode contact connected to a wire, obtained by the removal of the 7 most distal contacts, and their wire, of the Complete model. The length of the electrode, from the tip of the contacts end to connector end has the length of 380mm; it was connected to an 900mm-long extension cable. The electrode and extension were aligned along the coil’s longitudinal (Z) axis, inside the head part of the phantom. Different insertion depths and placements on or away from Z were simulated.
A low-pass head birdcage coil was used for RF excitation with specifications: diameter: 13.5cm, length: 27cm, 16 rungs, each rung (width: 1cm) has a capacitor (6.65pF). The phantom was placed inside the coil centred on the Z-axis and a PEC bore shield (diameter= 30cm) was placed outside the head coil.
EM simulations were performed as follows on a Windows PC (2.60GHz, 32GB RAM, two 8GB GPU): 15 periods, -40dB convergence level, 64MHz of harmonic excitation, head coil excited in circular-polarized mode, uniaxial perfectly matched layers for the global absorbing boundary conditions. The total grid size was 183MCells and 16MCells for the Complete and Simplified models respectively. The simulations formed the three following experiments, each comparing the estimated SAR in the vicinity of the tip electrode contact for the Complete and Simplified models:
· Experiment 1: different phantom and electrode positions along Z (Figure 1(A)).
· Experiment 2: different electrode insertion depths (Figure 1(B)).
· Experiment 3: shortening of extension cable.
Local SAR averaged over 0.1g, 0.01g and 0.001g were calculated following IEEE/IEC62704-1.9
The computation times ranged from 39h to 42h for Complete model, and 6h to 7.4h for the Simplified.
Experiment 1 (Figure 2): The patterns of local SAR values around the electrode tip contact as a function of the phantom+electrode position along Z for the Complete and Simplified models are similar, with the exception of a local maximum at Z = 2.5 for the former which corresponds to a plateau in the curves for the Simplified model. Furthermore, the SAR values for the Simplified model are double those for the Complete model.
Experiment 2 (Figure 3): Similarly to the results for Experiment 1, the SAR values as a function of electrode insertion depth for the Simplified model are double those for the Complete model. However, the SAR patterns for the two models differed with respect to the shape of the curve and the position of the maximum, reflecting the greater number of contacts in the Complete model.
Experiment 3 (Figure 4): the peak SAR is maximum for extension cable equal to 125cm.
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