Optimal Magnetic Sensor Vests for Cardiac Source Imaging

Magnetocardiography (MCG) non-invasively provides functional information about the heart. New room-temperature magnetic field sensors, specifically magnetoresistive and optically pumped magnetometers, have reached sensitivities in the ultra-low range of cardiac fields while allowing for free placement around the human torso. Our aim is to optimize positions and orientations of such magnetic sensors in a vest-like arrangement for robust reconstruction of the electric current distributions in the heart. We optimized a set of 32 sensors on the surface of a torso model with respect to a 13-dipole cardiac source model under noise-free conditions. The reconstruction robustness was estimated by the condition of the lead field matrix. Optimization improved the condition of the lead field matrix by approximately two orders of magnitude compared to a regular array at the front of the torso. Optimized setups exhibited distributions of sensors over the whole torso with denser sampling above the heart at the front and back of the torso. Sensors close to the heart were arranged predominantly tangential to the body surface. The optimized sensor setup could facilitate the definition of a standard for sensor placement in MCG and the development of a wearable MCG vest for clinical diagnostics.

[1]  H. S. Wolff,et al.  iRun: Horizontal and Vertical Shape of a Region-Based Graph Compression , 2022, Sensors.

[2]  Akihiko Kandori,et al.  Multichannel SQUID system detecting tangential components of the cardiac magnetic field , 1995 .

[3]  Susana Cardoso,et al.  Magnetic tunnel junction sensors with pTesla sensitivity , 2014 .

[4]  Stephen E. Russek,et al.  Magnetic noise in a low-power picotesla magnetoresistive sensor , 2009, 2009 IEEE Sensors.

[5]  V Diekmann,et al.  A comparison of normal and tangential magnetic field component measurements in biomagnetic investigations. , 1991, Clinical physics and physiological measurement : an official journal of the Hospital Physicists' Association, Deutsche Gesellschaft fur Medizinische Physik and the European Federation of Organisations for Medical Physics.

[6]  D. Budker,et al.  Optical magnetometry - eScholarship , 2006, physics/0611246.

[7]  B.M. Horacek,et al.  Effect of torso boundaries on electric potential and magnetic field of a dipole , 1988, IEEE Transactions on Biomedical Engineering.

[8]  Volkmar Schultze,et al.  Characteristics and performance of an intensity-modulated optically pumped magnetometer in comparison to the classical M(x) magnetometer. , 2012, Optics express.

[9]  Jose Amaral,et al.  Strategies for pTesla Field Detection Using Magnetoresistive Sensors With a Soft Pinned Sensing Layer , 2015, IEEE Transactions on Magnetics.

[10]  M Burghoff,et al.  A sensor configuration for a 304 SQUID vector magnetometer. , 2004, Neurology & clinical neurophysiology : NCN.

[11]  A.S. Edelstein,et al.  Magnetic modeling of a MEMS flux concentrator , 2010, 2010 IEEE Sensors.

[12]  L. Trahms,et al.  Fetal magnetocardiography measurements with an array of microfabricated optically pumped magnetometers , 2015, Physics in medicine and biology.

[13]  Robert D. Skeel,et al.  Scaling for Numerical Stability in Gaussian Elimination , 1979, JACM.

[14]  J. Haueisen,et al.  Information content in single-component versus three-component cardiomagnetic fields , 2004, IEEE Transactions on Magnetics.

[15]  Robert Wyllie,et al.  Optical magnetometer array for fetal magnetocardiography. , 2012, Optics letters.

[16]  Olaf Dössel,et al.  Comparison of sensor arrangements of MCG and ECG with respect to information content , 2002 .

[17]  Bernhard Tilg,et al.  Simultaneous use of multiple MCG sensor arrays-a study on the localization accuracy , 1996, Proceedings of 18th Annual International Conference of the IEEE Engineering in Medicine and Biology Society.

[18]  Kensuke Sekihara,et al.  Reconstruction of two-dimensional current distribution from tangential MCG measurement. , 1996, Physics in medicine and biology.

[19]  C. Nordman,et al.  Magnetic-Field Dependence of the Noise in a Magnetoresistive Sensor Having MEMS Flux Concentrators , 2006, IEEE Transactions on Magnetics.

[20]  G. S. Herman-Giddens,et al.  Selection of the number and positions of measuring locations for electrocardiography. , 1971, IEEE transactions on bio-medical engineering.

[21]  Susana Cardoso,et al.  Magnetic tunnel junction sensors with pTesla sensitivity for biomedical imaging , 2013, Microtechnologies for the New Millennium.

[22]  L. Trahms,et al.  Magnetoencephalography with a chip-scale atomic magnetometer , 2012, Biomedical optics express.

[23]  M. Götte,et al.  Noninvasive Imaging of Cardiac Excitation: Current Status and Future Perspective , 2014, Annals of noninvasive electrocardiology : the official journal of the International Society for Holter and Noninvasive Electrocardiology, Inc.

[24]  R L Lux,et al.  Redundancy reduction for improved display and analysis of body surface potential maps. II. Temporal compression. , 1981, Circulation research.

[25]  Antoine Weis Optically pumped alkali magnetometers for biomedical applications , 2012 .

[26]  Jens Haueisen,et al.  Three component magnetic field data: Impact on minimum norm solutions in a biomedical application , 2005 .

[27]  U Leder,et al.  Reproducibility of HTS-SQUID magnetocardiography in an unshielded clinical environment. , 2001, International journal of cardiology.

[28]  T. Sagara,et al.  Magnetoresistive Sensors , 1993, IEEE Translation Journal on Magnetics in Japan.

[29]  E. Riis Optical Magnetometry , 2013 .

[30]  F Minafra,et al.  [Pre-excitation syndromes]. , 1987, Cardiologia.

[31]  Xiaolu Yin,et al.  Novel magnetic nanostructured multilayer for high sensitive magnetoresistive sensor , 2012, 2012 IEEE Sensors.

[32]  Santiago Serrano-Guisan,et al.  Room temperature direct detection of low frequency magnetic fields in the 100 pT/Hz0.5 range using large arrays of magnetic tunnel junctions , 2014 .

[33]  Lutz Trahms,et al.  Cross-validation of microfabricated atomic magnetometers with superconducting quantum interference devices for biomagnetic applications , 2010 .

[34]  Y. H. Lee,et al.  Optimal sensor distribution for measuring the tangential field components in MCG. , 2004, Neurology & clinical neurophysiology : NCN.

[35]  Lutz Trahms,et al.  Optically Pumped Magnetometers for MEG , 2019, Magnetoencephalography.

[36]  Mengchun Pan,et al.  Magnetic Flux Vertical Motion Modulation for 1/ ${f}$ Noise Suppression in Magnetoresistance Field Sensors Using MEMS Device , 2016, IEEE Transactions on Magnetics.

[37]  W C Sealy,et al.  The preexcitation syndromes. , 1978, Progress in cardiovascular diseases.

[38]  Yong-Ho Lee,et al.  Tangential cardiomagnetic field measurement system based on double relaxation oscillation SQUID planar gradiometers , 2005, IEEE Transactions on Applied Superconductivity.

[39]  O. Dossel,et al.  Filtering characteristics of the human body and reconstruction limits in the inverse problem of electrocardiography , 1998, Computers in Cardiology 1998. Vol. 25 (Cat. No.98CH36292).

[40]  J. Demmel,et al.  Improved Error Bounds for Underdetermined System Solvers , 1993, SIAM J. Matrix Anal. Appl..

[41]  A. C. Maloof,et al.  Ultrahigh sensitivity magnetic field and magnetization measurements with an atomic magnetometer , 2009, 0910.2206.

[42]  J. Haueisen,et al.  Tabu Search Optimization of Magnetic Sensor Systems for Magnetocardiography , 2008, IEEE Transactions on Magnetics.

[43]  Michael Pedersen,et al.  Progress toward a thousandfold reduction in 1∕f noise in magnetic sensors using an ac microelectromechanical system flux concentrator (invited) , 2006 .

[44]  Natsuhiko Mizutani,et al.  Noise reduction and signal-to-noise ratio improvement of atomic magnetometers with optical gradiometer configurations. , 2015, Optics express.

[45]  Jens Haueisen,et al.  Prenatal diagnosis of a long QT syndrome by fetal magnetocardiography in an unshielded bedside environment , 2005, Prenatal diagnosis.

[46]  P M Rautaharju,et al.  Identification of best electrocardiographic leads for diagnosing myocardial infarction by statistical analysis of body surface potential maps. , 1985, The American journal of cardiology.

[47]  J. .. Abildskov,et al.  Redundancy Reduction for Improved Display and Analysis of Body Surface Potential Maps: I. Spatial Compression , 1981, Circulation research.

[48]  Magnetocardiography,et al.  Selection of Optimal Recording Sites in Electrocardiography and , 2003 .

[49]  Dwight D. Viehland,et al.  A differential magnetoelectric heterostructure: Internal noise reduction and external noise cancellation , 2015 .

[50]  R. Wakai,et al.  A compact, high performance atomic magnetometer for biomedical applications , 2013, Physics in medicine and biology.

[51]  Chris D. Nugent,et al.  Selection of optimal recording sites for limited lead body surface potential mapping: A sequential selection based approach , 2006, BMC Medical Informatics Decis. Mak..

[52]  Alan Edelstein,et al.  Achieving 1/f noise reduction with the MEMS flux concentrator , 2009, 2009 IEEE Sensors.

[53]  Svenja Knappe,et al.  Femtotesla atomic magnetometry in a microfabricated vapor cell. , 2010, Optics express.

[54]  Chris D Nugent,et al.  Lead selection: old and new methods for locating the most electrocardiogram information. , 2008, Journal of electrocardiology.

[55]  A. S. Edelstein,et al.  Tuning magnetic nanostructures and flux concentrators for magnetoresistive sensors , 2015, SPIE NanoScience + Engineering.

[56]  G Lembke,et al.  Optical multichannel room temperature magnetic field imaging system for clinical application. , 2014, Biomedical optics express.

[57]  Wang Yongliang,et al.  Multichannel fetal magnetocardiography using SQUID bootstrap circuit , 2013 .

[58]  R. Hren,et al.  Comparison between electrocardiographic and magnetocardiographic inverse solutions using the boundary element method , 1996, Medical and Biological Engineering and Computing.

[59]  Jens Haueisen,et al.  Numerical comparison of sensor arrays for magnetostatic linear inverse problems based on a projection method , 2007 .

[60]  Kinder,et al.  Large magnetoresistance at room temperature in ferromagnetic thin film tunnel junctions. , 1995, Physical review letters.

[61]  Peter J. Rousseeuw,et al.  Clustering by means of medoids , 1987 .

[62]  S Comani,et al.  Optimal filter design for shielded and unshielded ambient noise reduction in fetal magnetocardiography , 2005, Physics in medicine and biology.

[63]  A. Nehorai,et al.  Magnetoencephalography with diversely oriented and multicomponent sensors , 1997, IEEE Transactions on Biomedical Engineering.

[64]  G. Bison,et al.  A room temperature 19-channel magnetic field mapping device for cardiac signals , 2009, 0906.4869.

[65]  W Vennart,et al.  Magnetism in Medicine: A Handbook , 1999 .

[66]  Lutz Trahms,et al.  Adapting source grid parameters to improve the condition of the magnetostatic linear inverse problem of estimating nanoparticle distributions , 2012, Medical & Biological Engineering & Computing.

[67]  Hyukchan Kwon,et al.  Performance Investigation of a Three-Dimensional SQUID Magnetocardiography System by Using a Computer Simulation , 2008 .

[68]  刘明,et al.  Multichannel fetal magnetocardiography using SQUID bootstrap circuit , 2013 .

[69]  O. Dossel,et al.  Optimization of electrode positions for multichannel electrocardiography with respect to electrical imaging of the heart , 1998, Proceedings of the 20th Annual International Conference of the IEEE Engineering in Medicine and Biology Society. Vol.20 Biomedical Engineering Towards the Year 2000 and Beyond (Cat. No.98CH36286).

[70]  Uwe Leder,et al.  Non-invasive imaging of arrhythmogenic left-ventricular myocardium after infarction , 1998, The Lancet.

[71]  Vojko Jazbinsek,et al.  Influence of limited lead selection on source localization in magnetocardiography and electrocardiography , 2007 .

[72]  Nicholas I. Fisher,et al.  Statistical Analysis of Spherical Data. , 1987 .

[73]  Feilu Luo,et al.  Integrating magnetoresistive sensors with microelectromechanical systems for noise reduction , 2012 .

[74]  Robert H. Halstead,et al.  Matrix Computations , 2011, Encyclopedia of Parallel Computing.

[75]  Shuji Taue,et al.  Optimization of bandwidth and signal responses of optically pumped atomic magnetometers for biomagnetic applications , 2011 .

[76]  Junyi Wang,et al.  Reduction of magnetic 1/f noise in miniature anisotropic magnetoresistive sensors , 2015 .

[77]  J. A. Abildskov,et al.  Limited Lead Selection for Estimation of Body Surface Potential Maps in Electrocardiography , 1978, IEEE Transactions on Biomedical Engineering.

[78]  Akihiko Kandori,et al.  Visualization of atrial excitation by magnetocardiogram , 2004, The International Journal of Cardiovascular Imaging.