A Novel Method for Contact-Free Cardiac Synchronization Using the Pilot Tone Navigator

Lea Schroeder^{1}, Jens Wetzl^{1,2}, Andreas Maier^{1,2}, Lars Lauer^{3}, Jan Bollenbeck^{4}, Matthias Fenchel^{3}, and Peter Speier^{3}

The PT signal is generated by an independent continuous-wave radio frequency (RF) source and is received by the standard MR local coils. Its modulation can be processed to extract respiratory and cardiac information. We designed a small, battery-driven autonomous RF source to replace the signal generation setup used in [1], which was located outside the bore of the MR scanner. This new transmitter generates the RF signal by means of a free-running crystal oscillator and is protected against disruptive RF pulses of the MR measurement. Thus the hardware can be placed anywhere in the MR bore close to the patient.

Measurements were performed on a 1.5 T MAGNETOM Aera (Siemens Healthcare, Erlangen, Germany) on four volunteers (1 female, age 38 $$$\pm$$$ 11), on one of them with ECG ground truth. Multiple acquisitions with different locations and distances to the volunteer (on the anterior coil, on the skin of the volunteer) of the navigator hardware were performed.

Free-breathing and breathhold fluoroscopic measurements (GRE, TR=4 ms, 4 images/s, resolution 2x2x10 mm$$${}^3$$$) were performed for different placements of the PT transmitter. The prototype sequence recorded ECG timestamps every TR as ground truth for time after the R peak. A prototype reconstruction program processed PT signals into a navigator matrix containing one value per channel per TR.

Offline processing was performed in MATLAB (MathWorks, Natick, MA, USA).

To separate cardiac and respiratory motion, we adopted the algorithm of Zhang et al. [2] and expanded it to detect cardiac motion directly.

We assume that the cardiac motion is detected by at least one channel, and that at least one other channel contains a mixture of both cardiac and respiratory motion information. The problem of finding the best coils representing the cardiac motion can then be described as maximizing the correlation of R peak ground truth detection and peaks of the PT signal.

The proposed algorithm has the following major steps (visualized in Figure 1):

1. Calculation of the covariance matrix $$$C(i,j)$$$, which forms itself of the motion estimated from coil $$$i$$$ and $$$j$$$, where $$$X_i$$$ and $$$X_j$$$ are the measured data of the coils: $$ C(i,j) = \operatorname{cov}(X_i,X_j) = E[(X_i-E[X_i])(X_j-E[X_j])] $$

2. Band-pass filtering to restrict motion information between 0.6 and 4.0 Hz using a Hann filter in frequency domain to construct $$$P(i,j)$$$.

3. Construction of a threshold reduced matrix $$$M(i,j)$$$, according to a threshold operator described as follows: $$ M(i,j) = \begin{cases} 1, & \text{if } |P(i,j)| \geq t \\ 0, & \text{otherwise} \end{cases} $$

4. Identification of existing correlations in $$$M$$$ smaller than the threshold in $$$C(i,j)$$$. $$ R(i,j) = \begin{cases} 1, & \text{if } M(i,j) \geq 0 \text{ and } |C(i,j)| \leq t\\ 0, & \text{otherwise} \end{cases} $$

5. Selection of the set of channels $$$\{i | R(i,j) = 1\}$$$.

6. Time after the R wave from the PT navigator is determined by peak detection of the mean signal from the remaining coils. Here we selected the next peak after the ground truth R peak.

To validate the quality of the pulse detection, we compared the durations of cardiac intervals from PT navigator ($$${RR}_{pt}$$$) with durations from ECG ($$${RR}_{ecg}$$$).

Signals consistent with cardiac motion could be detected in all volunteers. Average mean correlation between $$$RR_{pt}$$$ and $$$RR_{ecg}$$$ was 0.95 $$$\pm$$$ 0.038. The slope of the fitted regression line was on average 0.98 (an example is illustrated in Figure 2). A Bland-Altman plot of $$$RR_{pt} - RR_{ecg}$$$ (Figure 3) shows that the 95 % limits of agreement line lies slightly below 40 ms. The improvement using our adapted coil clustering can be seen in Figure 4.

Step 3 of the algorithm depends on the threshold parameter $$$t$$$. Good correlation with the ground truth was achieved for all tested transmitter positions for $$$t = 0.9$$$ or $$$0.95$$$ as shown in Table 1.

[1] P. Speier* et al*. "PT-Nav: A Novel Respiratory Navigation Method for
Continuous Acquisition Based on Modulation of a Pilot Tone in the MR-Receiver". Proc. ESMRMB 129:97-98. 2015. doi: 10.1007/s10334-015-0487-2.

[2] T. Zhang *et al.* "Robust self-navigated body MRI using dense coil arrays.". Magn Reson Med. 2015. doi: 10.1002/mrm.25858. [Epub ahead of print]

Proc. Intl. Soc. Mag. Reson. Med. 24 (2016)

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