Cardiovascular MRI at ultra-high field strength is a growing field of research and as such there is a need for reliable, accurate, and user-independent triggering and gating. We propose a novel approach that uses directional couplers from the SAR monitoring system and an 8-channel pTx coil to measure the reflection coefficients simultaneously to determine cardiac motion with an independent component analysis and Gaussian shaped RF-monitoring pulses. This approach has the potential to improve cardiac imaging at ultra-high field CMR by providing robust triggering in periods of breath-hold and free-breathing, additional gating information and an optimised workflow with no additional set-up.
Previous work on RF reflection was used to estimate motion using pick up coils or additional RF sources1–4. We propose a method that uses an 8-channel transmit RF coil with separate RF amplifiers and directional couplers (DICO) on each of these transmit channels to explore whether the scattering matrix (S-matrix) measurements from these DICO’s can be used to determine cardiac motion with an independent component analysis (ICA). The returned voltages are a function of reflection from the subject and coupling through the subject from other transmitters. The S-Matrix detects if the objects and their complex permittivity change within these RF fields.
$$$S_{i,j} = \frac{ V_{i,j,Return}}{V_{j,incident}}$$$
A 7T MRI Scanner (VB17, Step 2.3, Siemens 7.0 T Magnetom scanner, Erlangen, Germany), 8-channel PTx system with local SAR monitor and an 8 channel TEM cardiac transmit/receive coil was used with four elements placed anterior on the chest of the subject and four elements placed posterior5. S-matrix measurements were made using a frequency multiplexed (2kHz channel spacing) 5ms, monitoring Gauss RF pulse every TR=10ms in 6 healthy adults (Male, age= 24-39 years) during a 15s breath-hold followed by free-breathing for 25s.
Data pre-processing
The time series of the 8x8 S-matrix was split into real and imaginary components, providing 128 observations per time point. The data was temporally de-trended and the cardiac signal was extracted using an ICA (FastICA6 for Matlab, Version 2.5) of cardiac band-pass filtered data. The cardiac component was identified by a Welch power spectrum density estimate with highest power in the respective cardiac frequency band (f= 0.6-2.4Hz).The ICA de-mixing vector was used to establish a raw, unfiltered scalar signal as shown in Figure 1.
Cardiac Signal Analysis and Feature Detection
5 features were identified and assessed in a retrospective signal analysis to detect different phases of the heart cycle. A main peak detection (feature 1), the start of the diastasis when the heart is almost at rest (feature 2), two for the start of atrial contraction (feature 3 and 4) and one to detect the start of ventricular contraction (feature 5). Using the unfiltered and de-mixed cardiac signal three further traces were established to identify the features. The first is derived from a discrete wavelet transform (DWT) with a maximal overlap. A mother wavelet with N=5 vanishing moments of the family of symlets was used and the dominate heart frequency DWT and peak detection was carried out. The other two are the first and second derivatives derived from a low pass filtered signal to identify periods of rest and high velocity in the cardiac cycle.
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