Model checking for trigger loss detection during Doppler ultrasound-guided fetal cardiovascular MRI

PurposeUltrasound (US) is the state of the art in prenatal diagnosis to depict fetal heart diseases. Cardiovascular magnetic resonance imaging (CMRI) has been proposed as a complementary diagnostic tool. Currently, only trigger-based methods allow the temporal and spatial resolutions necessary to depict the heart over time. Of these methods, only Doppler US (DUS)-based triggering is usable with higher field strengths. DUS is sensitive to motion. This may lead to signal and, ultimately, trigger loss. If too many triggers are lost, the image acquisition is stopped, resulting in a failed imaging sequence. Moreover, losing triggers may prolong image acquisition. Hence, if no actual trigger can be found, injected triggers are added to the signal based on the trigger history.MethodWe use model checking, a technique originating from the computer science domain that formally checks if a model satisfies given requirements, to simultaneously model heart and respiratory motion and to decide whether respiration has a prominent effect on the signal. Using bounds on the physiological parameters and their variability, the method detects when changes in the signal are due to respiration. We use this to decide when to inject a trigger.ResultsIn a real-world scenario, we can reduce the number of falsely injected triggers by 94% from more than 87% to less than 5%. On a subset of motion that would allow CMRI, the number can be further reduced to below 0.2%. In a study using simulations with a robot, we show that our method works for different types of motions, motion ranges, starting positions and heartbeat traces.ConclusionWhile DUS is a promising approach for fetal CMRI, correct trigger injection is critical. Our model checking method can reduce the number of wrongly injected triggers substantially, providing a key prerequisite for fast and artifact free CMRI.

[1]  K Fehrs,et al.  Doppler ultrasound triggering for cardiac MRI at 7T , 2018, Magnetic resonance in medicine.

[2]  Derek Wong,et al.  Metric optimized gating for fetal cardiac MRI , 2010, Magnetic resonance in medicine.

[3]  Rajeev Alur,et al.  A Theory of Timed Automata , 1994, Theor. Comput. Sci..

[4]  Paul Aljabar,et al.  Fetal cardiac cine imaging using highly accelerated dynamic MRI with retrospective motion correction and outlier rejection , 2017, Magnetic resonance in medicine.

[5]  Jens Frahm,et al.  Advances in real‐time phase‐contrast flow MRI using asymmetric radial gradient echoes , 2016, Magnetic resonance in medicine.

[6]  Gerhard Adam,et al.  Cardiac MRI of the fetal heart using a novel triggering method: Initial results in an animal model , 2012, Journal of magnetic resonance imaging : JMRI.

[7]  Sibylle Schupp,et al.  Online model checking for monitoring surrogate-based respiratory motion tracking in radiation therapy , 2016, International Journal of Computer Assisted Radiology and Surgery.

[8]  Alessandro Cimatti,et al.  Industrial Applications of Model Checking , 2000, MOVEP.

[9]  Paul D. Griffiths,et al.  Fetal Electrocardiogram (fECG) Gated MRI , 2013, Sensors.

[10]  Thoralf Niendorf,et al.  Acoustic cardiac triggering: a practical solution for synchronization and gating of cardiovascular magnetic resonance at 7 Tesla , 2010, Journal of cardiovascular magnetic resonance : official journal of the Society for Cardiovascular Magnetic Resonance.

[11]  Christel Baier,et al.  Principles of model checking , 2008 .

[12]  Floris Ernst,et al.  Compensating for Quasi-periodic Motion in Robotic Radiosurgery , 2011 .

[13]  Achim Seeger,et al.  Three-dimensional cine MRI in free-breathing infants and children with congenital heart disease , 2009, Pediatric Radiology.

[14]  F Kording,et al.  Funktionelle fetale kardiale MRT Bildgebung basierend auf Doppler-Ultraschall: Erste Erfahrungen , 2016 .

[15]  J I Hoffman,et al.  Evaluation of fetal heart dimensions from 12 weeks to term. , 2001, The American journal of cardiology.

[16]  David A. Bluemke,et al.  Cardiac magnetic resonance imaging and its electrocardiographs (ECG): tips and tricks , 2012, The International Journal of Cardiovascular Imaging.

[17]  Burkhard Sievers,et al.  Influence of the trigger technique on ventricular function measurements using 3-Tesla magnetic resonance imaging: comparison of ECG versus pulse wave triggering , 2011, Acta radiologica.

[18]  D. Sahn,et al.  Rhythm abnormalities of the fetus , 2007, Heart.

[19]  Kâmil Uğurbil,et al.  Design of parallel transmission radiofrequency pulses robust against respiration in cardiac MRI at 7 Tesla , 2015, Magnetic resonance in medicine.

[20]  A Schweikard,et al.  Multivariate respiratory motion prediction. , 2014, Physics in medicine and biology.

[21]  Shihab Jimaa,et al.  Fetal Cardiac Doppler Signal Processing Techniques: Challenges and Future Research Directions , 2017, Front. Bioeng. Biotechnol..

[22]  Pedro F Ferreira,et al.  Cardiovascular magnetic resonance artefacts , 2013, Journal of Cardiovascular Magnetic Resonance.