{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T06:16:25Z","timestamp":1777616185486,"version":"3.51.4"},"reference-count":22,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2023,3,30]],"date-time":"2023-03-30T00:00:00Z","timestamp":1680134400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"European Regional Development Fund","award":["01.2.2-LMT-K-718-05-0076"],"award-info":[{"award-number":["01.2.2-LMT-K-718-05-0076"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>The safety of ultrasound exposure is very important for a patient\u2019s well-being. High-frequency (1\u201310 MHz) ultrasound waves are highly absorbed by biological tissue and have limited therapeutic effects on internal organs. This article presents the results of the development and application of a low-frequency (20\u2013100 kHz) ultrasonic transducer for sonication of biological tissues. Using the methodology of digital twins, consisting of virtual and physical twins, an ultrasonic transducer has been developed that emits a focused ultrasound signal that penetrates into deeper biological tissues. For this purpose, the ring-shaped end surface of this transducer is excited not only by the main longitudinal vibrational mode, which is typical of the flat end surface transducers used to date, but also by higher mode radial vibrations. The virtual twin simulation shows that the acoustic signal emitted by the ring-shaped transducer, which is excited by a higher vibrational mode, is concentrated into a narrower and more precise acoustic wave that penetrates deeper into the biological tissue and affects only the part of the body to be treated, but not the whole body.<\/jats:p>","DOI":"10.3390\/s23073608","type":"journal-article","created":{"date-parts":[[2023,3,31]],"date-time":"2023-03-31T02:08:01Z","timestamp":1680228481000},"page":"3608","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Development of a Low-Frequency Piezoelectric Ultrasonic Transducer for Biological Tissue Sonication"],"prefix":"10.3390","volume":"23","author":[{"given":"Vytautas","family":"Ostasevicius","sequence":"first","affiliation":[{"name":"Institute of Mechatronics, Kaunas University of Technology, Studentu Street 56, LT-51424 Kaunas, Lithuania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vytautas","family":"Jurenas","sequence":"additional","affiliation":[{"name":"Institute of Mechatronics, Kaunas University of Technology, Studentu Street 56, LT-51424 Kaunas, Lithuania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sandra","family":"Mikuckyte","sequence":"additional","affiliation":[{"name":"Institute of Mechatronics, Kaunas University of Technology, Studentu Street 56, LT-51424 Kaunas, Lithuania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Joris","family":"Vezys","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Kaunas University of Technology, Studentu Street 50, LT-51368 Kaunas, Lithuania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Edgaras","family":"Stankevicius","sequence":"additional","affiliation":[{"name":"Institute of Physiology and Pharmacology, Lithuanian University of Health Sciences, A. Mickevicius Street 9, LT-44307 Kaunas, Lithuania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Algimantas","family":"Bubulis","sequence":"additional","affiliation":[{"name":"Institute of Mechatronics, Kaunas University of Technology, Studentu Street 56, LT-51424 Kaunas, Lithuania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mantas","family":"Venslauskas","sequence":"additional","affiliation":[{"name":"Institute of Mechatronics, Kaunas University of Technology, Studentu Street 56, LT-51424 Kaunas, Lithuania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Laura","family":"Kizauskiene","sequence":"additional","affiliation":[{"name":"Department of Computer Sciences, Kaunas University of Technology, Studentu Street 50, LT-51368 Kaunas, Lithuania"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,3,30]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1016\/j.sna.2017.05.036","article-title":"Optimal Design of a Concave Annular High Intensity Focused Ultrasound Transducer for Medical Treatment","volume":"263","author":"Choi","year":"2017","journal-title":"Sens. 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