{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,26]],"date-time":"2026-02-26T19:42:28Z","timestamp":1772134948944,"version":"3.50.1"},"reference-count":34,"publisher":"MDPI AG","issue":"16","license":[{"start":{"date-parts":[[2020,8,13]],"date-time":"2020-08-13T00:00:00Z","timestamp":1597276800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51607029\uff1b61836011"],"award-info":[{"award-number":["51607029\uff1b61836011"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["2020GFZD008;2020GFYD011"],"award-info":[{"award-number":["2020GFZD008;2020GFYD011"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100013314","name":"111 Project","doi-asserted-by":"publisher","award":["B16009"],"award-info":[{"award-number":["B16009"]}],"id":[{"id":"10.13039\/501100013314","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Background and Objectives: Cardiovascular and cerebrovascular diseases caused by arterial stenosis and sclerosis are the main causes of human death. Although there are mature diagnostic techniques in clinical practice, they are not suitable for early disease prediction and monitoring due to their high cost and complex operation. The purpose of this paper is to study the coupling effect of arterial blood flow and linear gradient magnetic field, and to propose a method for the reconstruction of the arterial profile, which will lay a theoretical foundation for new electromagnetic artery scanning imaging technology. Methods and Models: A combination coil composed of gradient coils and drive coils is applied as a magnetic field excitation source. By controlling the excitation current, a linearly gradient magnetic field with a line-shaped zero magnetic field is generated, and the zero magnetic field is driven to scan in a specific direction. According to the magnetoelectric effect of blood flow, under the action of the external magnetic field, the voltage signals on the body surface can be detected by measuring electrodes. The location of the artery center line can be determined by the time\u2013space relationship between voltage signals and zero magnetic field scanning. In addition, based on the reciprocity theorem integral equation, a numerical model between the amplitude of the voltage signal and the arterial radius is derived to reconstruct the arterial radius. The above physical process was simulated in the finite element analysis software COMSOL, and the voltage signals obtained from the simulation verified the arterial profile reconstruction. Results: Through finite element simulation verification, the imaging method based on a linear gradient magnetic field has a numerical accuracy of 90% and a spatial resolution of 1 mm. Moreover, under 100 Hz low-frequency alternating current excitation, the single scanning time is 0.005 s, which is far shorter than the arterial blood flow change cycle, meeting the requirements of real-time imaging. The results demonstrate the effectiveness and high theoretical feasibility of the proposed method in real-time arterial imaging. Conclusions: This study indicates the potential application of linear gradient magnetic fields in arterial profile imaging. Compared with traditional electromagnetic imaging methods, the proposed method has the advantages of fast imaging speed and high resolution, showing the certain application value in early real-time imaging of arterial disease. However, further studies are necessary to confirm its effectiveness in clinical practice by more medical data and real cases.<\/jats:p>","DOI":"10.3390\/s20164547","type":"journal-article","created":{"date-parts":[[2020,8,14]],"date-time":"2020-08-14T08:28:35Z","timestamp":1597393715000},"page":"4547","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Application of Linear Gradient Magnetic Field in Arterial Profile Scanning Imaging"],"prefix":"10.3390","volume":"20","author":[{"given":"Yanjun","family":"Liu","sequence":"first","affiliation":[{"name":"College of Information Science and Engineering, Northeastern University, Shenyang 110819, China"},{"name":"Institute of Electrical Engineering Chinese Academy of Sciences, Beijing 100190, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guoqiang","family":"Liu","sequence":"additional","affiliation":[{"name":"Institute of Electrical Engineering Chinese Academy of Sciences, Beijing 100190, China"},{"name":"School of Electronics, Electrical and Communication Engineering, University of Chinese Academy of Sciences, Beijing 100190, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9790-0851","authenticated-orcid":false,"given":"Dan","family":"Yang","sequence":"additional","affiliation":[{"name":"College of Information Science and Engineering, Northeastern University, Shenyang 110819, China"},{"name":"Key Laboratory of Data Analytics and Optimization for Smart Industry MOE, Northeastern University, Shenyang 110819, China"},{"name":"Liaoning Province Key Laboratory of Infrared Optoelectric Materials and Micro-Nano Devices, Northeastern University, Shenyang 110819, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bin","family":"Xu","sequence":"additional","affiliation":[{"name":"College of Computer Science and Engineering, Northeastern University, Shenyang 110819, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,8,13]]},"reference":[{"key":"ref_1","unstructured":"(2020, June 22). World Health Organization. Available online: http:\/\/www.who.int\/mediacentre\/factsheets\/fs310\/en\/."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"799","DOI":"10.1148\/radiology.218.3.r01mr09799","article-title":"Intracranial Aneurysms: Clinical Value of 3D Digital Subtraction Angiography in the Therapeutic Decision and Endovascular Treatment1","volume":"218","author":"Anxionnat","year":"2001","journal-title":"Radiology"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"56","DOI":"10.1097\/00000658-200107000-00009","article-title":"Value of Lipiodol Computed Tomography and Digital Subtraction Angiography in the Era of Helical Biphasic Computed Tomography as Preoperative Assessment of Hepatocellular Carcinoma","volume":"234","author":"Nakayama","year":"2001","journal-title":"Ann. Surg."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"495","DOI":"10.1259\/bjr\/15296170","article-title":"Coronary CT angiography: Current status and continuing challenges","volume":"85","author":"Sun","year":"2012","journal-title":"Br. J. Radiol."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1093\/eurheartj\/ehm613","article-title":"Feasibility of low-dose coronary CT angiography: First experience with prospective ECG-gating","volume":"29","author":"Husmann","year":"2007","journal-title":"Eur. Heart J."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"560","DOI":"10.1007\/s003300050960","article-title":"Middle cerebral artery variations detected by magnetic resonance angiography","volume":"10","author":"Uchino","year":"2000","journal-title":"Eur. Radiol."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"1347","DOI":"10.1161\/01.CIR.91.5.1347","article-title":"Noninvasive determination of infarct artery patency by cine magnetic resonance angiography","volume":"91","author":"Hundley","year":"1995","journal-title":"Circulation"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1016\/0301-5629(95)02052-7","article-title":"Three-dimensional ultrasonic angiography using power-mode Doppler","volume":"22","author":"Ritchie","year":"1996","journal-title":"Ultrasound Med. Biol."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"180","DOI":"10.1016\/S0002-9149(98)00821-2","article-title":"Ultrasonic assessment of vascular complications in coronary angiography and angioplasty after transradial approach","volume":"83","author":"Nagai","year":"1999","journal-title":"Am. J. Cardiol."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1466","DOI":"10.1109\/TMAG.2010.2085423","article-title":"Implementation of Generalized Back Projection Algorithm in 3-D EIT","volume":"47","author":"Wang","year":"2011","journal-title":"IEEE Trans. Magn."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1111\/j.1749-6632.1999.tb09481.x","article-title":"Magnetic Induction Tomography: A Measuring System for Biological Tissues","volume":"873","author":"Griffiths","year":"1999","journal-title":"Ann. N. Y. Acad. Sci."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"7","DOI":"10.1088\/0957-0233\/26\/7\/075303","article-title":"Application of particle filtering algorithm in image reconstruction of EMT","volume":"26","author":"Wang","year":"2015","journal-title":"Meas. Sci. Technol."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"323","DOI":"10.1109\/TBME.2006.883827","article-title":"Imaging Electrical Impedance From Acoustic Measurements by Means of Magnetoacoustic Tomography With Magnetic Induction (MAT-MI)","volume":"54","author":"Li","year":"2007","journal-title":"IEEE Trans. Biomed. Eng."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"2114","DOI":"10.1109\/TBME.2014.2382562","article-title":"Magneto-Acousto-Electrical Tomography with Magnetic Induction for Conductivity Reconstruction","volume":"62","author":"Guo","year":"2015","journal-title":"IEEE Trans. Biomed. Eng."},{"key":"ref_15","first-page":"1","article-title":"Conductivity Reconstruction and Numerical Simulation for Magnetically Mediated Thermoacoustic Imaging","volume":"53","author":"Li","year":"2017","journal-title":"IEEE Trans. Magn."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Zanet, D.D., Battiston, M., Lombardi, E., Specogna, R., Trevisan, F., Marco, L.D., Affanni, A., and Mazzucato, M. (2017). Impedance biosensor for real-time monitoring and prediction of thrombotic individual profile in flowing blood. PLoS ONE, 12.","DOI":"10.1371\/journal.pone.0184941"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1021","DOI":"10.1109\/TMAG.2013.2281987","article-title":"A novel inversion technique for imaging thrombus volume in microchannels fusing optical and impedance data","volume":"50","author":"Affanni","year":"2014","journal-title":"IEEE Trans. Magn."},{"key":"ref_18","unstructured":"Maythem, A. (2016). Development of an Electromagnetic Induction Method for NonInvasive Blood Flow Measurement. [Ph.D. Thesis, University of Huddersfield]."},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Andrzej, P., Michal, P., Tomasz, W., Stefanczyk, L., and Strzelecki, M. (2018). Computational Fluid Dynamics as an Engineering Tool for the Reconstruction of Hemodynamics after Carotid Artery Stenosis Operation: A Case Study. Medicina, 54.","DOI":"10.3390\/medicina54030042"},{"key":"ref_20","first-page":"11","article-title":"Numerical model and finite element simulation of arterial blood flow profile reconstruction in a uniform magnetic field","volume":"53","author":"Liu","year":"2020","journal-title":"J. Phys. D Appl. Phys."},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Yang, D., Liu, Y.-J., Xu, B., and Duo, Y.-H. (2019). A Blood Flow Volume Linear Inversion Model Based on Electromagnetic Sensor for Predicting the Rate of Arterial Stenosis. Sensors, 19.","DOI":"10.3390\/s19133006"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1592","DOI":"10.1002\/mp.13411","article-title":"Trajectory Analysis for Field Free Line Magnetic Particle Imaging","volume":"46","author":"Top","year":"2019","journal-title":"Med. Phys."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"393","DOI":"10.1002\/j.1538-7305.1924.tb00009.x","article-title":"A generalization of the reciprocal theorem","volume":"3","author":"Carson","year":"1924","journal-title":"Bell Syst. Tech. J."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"85303","DOI":"10.1103\/PhysRevB.76.085303","article-title":"Reciprocity relation between photovoltaic quantum efficiency and electroluminescent emission of solar cells","volume":"76","author":"Rau","year":"2007","journal-title":"Phys. Rev. B Condens. Matter"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"577","DOI":"10.1017\/S0022112070002586","article-title":"The theory of induced voltage electromagnetic flowmeters","volume":"43","author":"Bevir","year":"2006","journal-title":"J. Fluid Mech."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1016\/j.jbiomech.2009.09.026","article-title":"Numerical simulations of the blood flow through vertebral arteries","volume":"43","author":"Jozwik","year":"2010","journal-title":"J. Biomech."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1016\/S0021-9290(96)00143-1","article-title":"Extended Willis circle model to explain clinical observations in periorbital arterial flow","volume":"30","author":"Viedma","year":"1997","journal-title":"J. Biomech."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"34101","DOI":"10.1063\/1.3458908","article-title":"Electrical properties with relaxation through human blood","volume":"4","author":"Abdalla","year":"2010","journal-title":"Biomicrofluidics"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"092505","DOI":"10.1063\/1.3486118","article-title":"Generation of a static magnetic field-free line using two Maxwell coil pairs","volume":"97","author":"Knopp","year":"2010","journal-title":"Appl. Phys. Lett."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"095004","DOI":"10.1088\/0266-5611\/27\/9\/095004","article-title":"A Fourier slice theorem for magnetic particle imaging using a field-free line","volume":"27","author":"Knopp","year":"2011","journal-title":"Inverse. Probl."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"1187","DOI":"10.1002\/mrm.27768","article-title":"Driving mutually coupled gradient array coils in magnetic resonance imaging","volume":"82","author":"Ertan","year":"2019","journal-title":"Magn. Reson. Med."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"551","DOI":"10.1111\/j.1525-1594.2011.01387.x","article-title":"Hall Effect in Electrolyte Flow Measurements: Introduction to Blood Flow Measurements","volume":"36","author":"Szwast","year":"2012","journal-title":"Artif. Organs"},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"144","DOI":"10.1109\/TBME.1974.324300","article-title":"Transcutaneous Blood Flow Measurement by Electromagnetic Induction","volume":"BME-21","author":"Kanai","year":"2007","journal-title":"IEEE Trans. Biomed. Eng."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1111\/j.1748-1716.1980.tb06588.x","article-title":"Blood flow in arteries determined transcutaneously by an ultrasonic doppler velocitymeter as compared to electromagnetic measurements on the exposed vesels","volume":"109","author":"Guldvog","year":"2010","journal-title":"Acta Physiol."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/20\/16\/4547\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T10:00:31Z","timestamp":1760176831000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/20\/16\/4547"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,8,13]]},"references-count":34,"journal-issue":{"issue":"16","published-online":{"date-parts":[[2020,8]]}},"alternative-id":["s20164547"],"URL":"https:\/\/doi.org\/10.3390\/s20164547","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,8,13]]}}}