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China","award":["LZ22F010007"],"award-info":[{"award-number":["LZ22F010007"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>The manipulation of biomedical particles, such as separating circulating tumor cells from blood, based on standing surface acoustic wave (SSAW) has been widely used due to its advantages of label-free approaches and good biocompatibility. However, most of the existing SSAW-based separation technologies are dedicated to isolate bioparticles in only two different sizes. It is still challenging to fractionate various particles in more than two different sizes with high efficiency and accuracy. In this work, to tackle the problems of low efficiency for multiple cell particle separation, integrated multi-stage SSAW devices with different wavelengths driven by modulated signals were designed and studied. A three-dimensional microfluidic device model was proposed and analyzed using the finite element method (FEM). In addition, the effect of the slanted angle, acoustic pressure, and the resonant frequency of the SAW device on the particle separation were systemically studied. From the theoretical results, the separation efficiency of three different size particles based on the multi-stage SSAW devices reached 99%, which was significantly improved compared with conventional single-stage SSAW devices.<\/jats:p>","DOI":"10.3390\/s23052771","type":"journal-article","created":{"date-parts":[[2023,3,3]],"date-time":"2023-03-03T02:03:08Z","timestamp":1677808988000},"page":"2771","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Numerical Study of Particle Separation through Integrated Multi-Stage Surface Acoustic Waves and Modulated Driving Signals"],"prefix":"10.3390","volume":"23","author":[{"given":"Yingqi","family":"Jiang","sequence":"first","affiliation":[{"name":"Ministry of Education Key Laboratory of RF Circuits and Systems, College of Electronic & Information, Hangzhou Dianzi University, Hangzhou 310018, China"},{"name":"Zhejiang Key Laboratory of Large-Scale Integrated Circuit 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Actuators B"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"959","DOI":"10.1039\/C4LC01422G","article-title":"Lab on a chip for continuous-flow magnetic cell separation","volume":"15","author":"Hejazian","year":"2015","journal-title":"Lab Chip"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"2410","DOI":"10.1002\/elps.201100167","article-title":"Dielectrophoresis in microfluidics technology","volume":"32","author":"Cetin","year":"2011","journal-title":"Electrophoresis"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"3656","DOI":"10.1039\/c1lc20653b","article-title":"Enhanced cell sorting and manipulation with combined optical tweezer and microfluidic chip technologies","volume":"11","author":"Wang","year":"2011","journal-title":"Lab Chip"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"671","DOI":"10.1098\/rsif.2008.0052","article-title":"Optical tweezers for single cells","volume":"5","author":"Zhang","year":"2008","journal-title":"J. R. Soc. Interface"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"3626","DOI":"10.1039\/c3lc50361e","article-title":"Surface acoustic wave microfluidics","volume":"13","author":"Ding","year":"2013","journal-title":"Lab Chip"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1146\/annurev-fluid-010313-141418","article-title":"Surface Acoustic Wave Microfluidics","volume":"46","author":"Yeo","year":"2014","journal-title":"Annu. Rev. Fluid Mech."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"2998","DOI":"10.1039\/c2lc40565b","article-title":"Acoustofluidics 17: Theory and applications of surface acoustic wave devices for particle manipulation","volume":"12","author":"Gedge","year":"2012","journal-title":"Lab Chip"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"106547","DOI":"10.1016\/j.ultras.2021.106547","article-title":"Influences of microparticle radius and microchannel height on SSAW-based acoustophoretic aggregation","volume":"117","author":"Dong","year":"2021","journal-title":"Ultrasonics"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1007\/s10544-019-0419-4","article-title":"Effects of two surface acoustic wave sorting chips on particles multi-level sorting","volume":"21","author":"Liu","year":"2019","journal-title":"Biomed. Microdevices"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1495","DOI":"10.1109\/TED.2018.2889912","article-title":"Simulation of Blood Particle Separation in a Trapezoidal Microfluidic Device by Acoustic Force","volume":"66","author":"Shamloo","year":"2019","journal-title":"IEEE Trans. Electron Devices"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"517","DOI":"10.1016\/j.apm.2021.07.018","article-title":"Numerical investigation of particle deflection in tilted-angle standing surface acoustic wave microfluidic devices","volume":"101","author":"Peng","year":"2022","journal-title":"Appl. Math. Model."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1016\/j.sna.2012.08.020","article-title":"Active density-based separation using standing surface acoustic waves","volume":"187","author":"Jo","year":"2012","journal-title":"Sens. Actuators A"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"1659","DOI":"10.1021\/acs.jproteome.6b00998","article-title":"Blood Proteomic Profiling in Inherited (ATTRm) and Acquired (ATTRwt) Forms of Transthyretin-Associated Cardiac Amyloidosis","volume":"16","author":"Chan","year":"2017","journal-title":"J. Proteome Res."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"5468","DOI":"10.1021\/ac400548d","article-title":"An on-chip, multichannel droplet sorter using standing surface acoustic waves","volume":"85","author":"Li","year":"2013","journal-title":"Anal. Chem."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"3870","DOI":"10.1039\/C5LC00706B","article-title":"A high-throughput acoustic cell sorter","volume":"15","author":"Ren","year":"2015","journal-title":"Lab Chip"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"10584","DOI":"10.1073\/pnas.1709210114","article-title":"Isolation of exosomes from whole blood by integrating acoustics and microfluidics","volume":"114","author":"Wu","year":"2017","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"ref_22","unstructured":"Landau, L.D., and Lifshitz, E.M. (2013). Course of Theoretical Physics, Elsevier."},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Gurtin, M.E., Fried, E., and Anand, L. (2010). The Mechanics and Thermodynamics of Continua, Cambridge University Press.","DOI":"10.1017\/CBO9780511762956"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1016\/j.jnnfm.2018.02.012","article-title":"Fluctuating viscoelasticity","volume":"256","author":"Hulsen","year":"2018","journal-title":"J. Non-Newton. Fluid Mech."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1016\/j.jcis.2015.05.011","article-title":"Radiation dominated acoustophoresis driven by surface acoustic waves","volume":"455","author":"Guo","year":"2015","journal-title":"J. Colloid Interface Sci."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"342","DOI":"10.1016\/j.apm.2020.02.031","article-title":"Numerical simulation of continuous separation of microparticles in two-stage acousto-microfluidic systems","volume":"83","author":"Lei","year":"2020","journal-title":"Appl. Math. Model."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"016327","DOI":"10.1103\/PhysRevE.85.016327","article-title":"Forces acting on a small particle in an acoustical field in a viscous fluid","volume":"85","author":"Settnes","year":"2012","journal-title":"Phys. Rev. E: Stat. Nonlinear Soft Matter Phys."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"10756","DOI":"10.1021\/ac3026674","article-title":"Acoustophoretic sorting of viable mammalian cells in a microfluidic device","volume":"84","author":"Yang","year":"2012","journal-title":"Anal. Chem."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"2700","DOI":"10.1039\/C5LC00231A","article-title":"Numerical study of acoustophoretic motion of particles in a PDMS microchannel driven by surface acoustic waves","volume":"15","author":"Nama","year":"2015","journal-title":"Lab Chip"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"12992","DOI":"10.1073\/pnas.1413325111","article-title":"Cell separation using tilted-angle standing surface acoustic waves","volume":"111","author":"Ding","year":"2014","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"150009","DOI":"10.1038\/sdata.2015.9","article-title":"Charting the complete elastic properties of inorganic crystalline compounds","volume":"2","author":"Chen","year":"2015","journal-title":"Sci. Data"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"150053","DOI":"10.1038\/sdata.2015.53","article-title":"A database to enable discovery and design of piezoelectric materials","volume":"2","author":"Chen","year":"2015","journal-title":"Sci. Data"},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1016\/j.powtec.2021.09.034","article-title":"Numerical study of particle separation with standing surface acoustic waves (SSAW)","volume":"395","author":"Wu","year":"2022","journal-title":"Powder Technol."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"2011","DOI":"10.1039\/D1LC01113H","article-title":"On the acoustically induced fluid flow in particle separation systems employing standing surface acoustic waves\u2014Part I","volume":"22","author":"Sachs","year":"2022","journal-title":"Lab Chip"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"4617","DOI":"10.1039\/c2lc40612h","article-title":"A numerical study of microparticle acoustophoresis driven by acoustic radiation forces and streaming-induced drag forces","volume":"12","author":"Muller","year":"2012","journal-title":"Lab Chip"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"11844","DOI":"10.1021\/acs.analchem.6b03580","article-title":"Mechanical Properties Based Particle Separation via Traveling Surface Acoustic Wave","volume":"88","author":"Ma","year":"2016","journal-title":"Anal. Chem."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"106797","DOI":"10.1016\/j.ultras.2022.106797","article-title":"A simplified three-dimensional numerical simulation approach for surface acoustic wave tweezers","volume":"125","author":"Liu","year":"2022","journal-title":"Ultrasonics"}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/23\/5\/2771\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T18:46:45Z","timestamp":1760122005000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/23\/5\/2771"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,3,3]]},"references-count":37,"journal-issue":{"issue":"5","published-online":{"date-parts":[[2023,3]]}},"alternative-id":["s23052771"],"URL":"https:\/\/doi.org\/10.3390\/s23052771","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,3,3]]}}}