Long (>wavelength/4) actively-tracked metallic-backbone or metallic-braided cardiovascular devices are not used in MRI-guided interventions due to surrounding-tissue heating concerns. Such devices may be used if induced currents on the metallic-backbone and internal cables are sufficiently attenuated. At ISMRM 2018 we demonstrated a miniaturized resonant floating Balun (MBalun), and two actively-tracked MRI-guided metallic interventional devices built using MBaluns. MBaluns were constructed with loosely-wound solenoids overlaid on the metallic-backbones, generating strong transverse magnetic fields that attenuated surface currents and internal-cable common-mode currents. We now provide electromagnetic simulation revealing MBalun critical dimensions, along with phantom heating and swine experiments that validate the designs.
The MBalun is constructed of two concentric metal layers with an insulator layer between them. The inner layer is a metal tube or a metallic braid, while the outer layer is a multi-turn spiral-wound copper wire (Fig.1A). The volume-integrated transverse magnetic field (MTr) in the MBalun produces a magnetic moment (Dm): $$D_{m}=\int_{}^{} M_{Tr}dV_{MB}, V_{MB}=\pi(r_o^2-r_i^2) L_{MB}$$ where LMB and VMB are the MBalun length and magnetically-effective volume and ro, ri are its outer and inner radii, respectively. A wire carrying a current I that passes through the MBalun couples a flux φ. Therefore, considering an MBalun surrounding a current-carrying wire, the effective inductively-coupled inductance generated by the MTr is: $$L_{e}=\frac{\phi}{I}=\frac{N\mu D_{m}}{I L_{MB}}$$ where N is the winding number and μ the permeability. As a result, if Dm is evaluated in electromagnetic simulation, can be computed. The impedance of the resonant MBalun at its resonant frequency (wRes) is given by: $$Z= \frac{(w_{Res}^2 L_e^2)}{R}$$ where $$$R\sim\frac{N}{\delta_{c} \sigma_{c} 2\pi r_{o}}$$$ is the MBalun’s resistance, $$$\delta_{c}$$$ the skin depth, and $$$\sigma_{c}$$$ the wire conductivity.
MBalun performance relies mainly on its effective inductance (Le), which depends on three design parameters: the normalized insulator thickness ($$$\triangle=(\frac{insulator-thickness}{inner-tube-diameter})$$$), number of windings (N), and the normalized pitch ($$$p=(\frac{Dist}{Diam})$$$), where Dist and Diam are the wire diameter and the distance between successive windings. The current running inside a tightly-wound (p≈1) solenoid produces a strong magnetic field along the solenoid axis (Mz) and almost no MTr (Fig.1B), which therefore does not couple efficiently to the magnetic-fields produced by current-carrying wires running inside. Current in a leaky (p>1) solenoid generates strong MTr (Fig.1C), which allows the solenoid to effectively couple to magnetic-fields produced by wires running inside. A series of electromagnetic simulations (CST, Germany) were carried out to investigate the effects of design parameters N, ∆, and p on the properties of a single MBalun. MBaluns were designed to provide possible solutions for (a) a metallic-tube active guidewire (Fig. 2A) and (b) a metallic-braided electrophysiology (EP) catheter (Fig. 2B). SAR simulations (CST) were conducted to evaluate current suppression on a wire passing through an MBalun. Heating tests were performed on both devices in a gel phantom during high SAR sequences in a 1.5T MRI. The devices were evaluated for ease of cardiovascular navigation, imaging conspicuity, tracking precision, and heating in swine models using breath-held ECG-gated SSFP sequences.
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