{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,23]],"date-time":"2026-10-23T19:50:53Z","timestamp":1792785053713,"version":"4.5.0"},"reference-count":39,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2026,7,3]],"date-time":"2026-07-03T00:00:00Z","timestamp":1783036800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0"},{"start":{"date-parts":[[2026,10,5]],"date-time":"2026-10-05T00:00:00Z","timestamp":1791158400000},"content-version":"vor","delay-in-days":94,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0"}],"funder":[{"DOI":"10.13039\/501100003968","name":"Iran National Science Foundation","doi-asserted-by":"publisher","award":["4030741"],"award-info":[{"award-number":["4030741"]}],"id":[{"id":"10.13039\/501100003968","id-type":"DOI","asserted-by":"publisher"}]},{"name":"International Cooperation and Exchange of the National Natural Science Foundation of China","award":["W2412118"],"award-info":[{"award-number":["W2412118"]}],"id":[{"id":"https:\/\/ror.org\/01h0zpd94","id-type":"ROR","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Sci Rep"],"DOI":"10.1038\/s41598-026-61050-3","type":"journal-article","created":{"date-parts":[[2026,7,3]],"date-time":"2026-07-03T22:07:30Z","timestamp":1783116450000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Energy-barrier-mediated particle and cell transport switching and sorting in a magnetophoretic microfluidic platform under a rotating magnetic field"],"prefix":"10.1038","volume":"16","author":[{"given":"Roozbeh","family":"Abedini-Nassab","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Atabak","family":"Mohammadi Moazed","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yaping","family":"Dan","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2026,7,3]]},"reference":[{"issue":"1","key":"61050_CR1","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1038\/s41467-021-27778-4","volume":"13","author":"ST Gebreyesus","year":"2022","unstructured":"Gebreyesus, S. T. et al. Streamlined single-cell proteomics by an integrated microfluidic chip and data-independent acquisition mass spectrometry. Nat. Commun. 13(1), 37. https:\/\/doi.org\/10.1038\/s41467-021-27778-4 (2022) (in Eng).","journal-title":"Nat. Commun."},{"issue":"3","key":"61050_CR2","doi-asserted-by":"publisher","first-page":"499","DOI":"10.1038\/s41592-024-02558-2","volume":"22","author":"Z Ye","year":"2025","unstructured":"Ye, Z. et al. Enhanced sensitivity and scalability with a chip-tip workflow enables deep single-cell proteomics. Nat. Methods 22(3), 499\u2013509. https:\/\/doi.org\/10.1038\/s41592-024-02558-2 (2025) (in Eng).","journal-title":"Nat. Methods"},{"issue":"5","key":"61050_CR3","doi-asserted-by":"publisher","first-page":"1230","DOI":"10.1039\/c4lc01246a","volume":"15","author":"CW Shields","year":"2015","unstructured":"Shields, C. W., Reyes, C. D. & L\u00f3pez, G. P. Microfluidic cell sorting: A review of the advances in the separation of cells from debulking to rare cell isolation. Lab Chip 15(5), 1230\u20131249. https:\/\/doi.org\/10.1039\/c4lc01246a (2015) (in Eng).","journal-title":"Lab Chip"},{"issue":"1","key":"61050_CR4","doi-asserted-by":"publisher","first-page":"2879","DOI":"10.1038\/s41467-019-10685-0","volume":"10","author":"M Benz","year":"2019","unstructured":"Benz, M., Molla, M. R., B\u00f6ser, A., Rosenfeld, A. & Levkin, P. A. Marrying chemistry with biology by combining on-chip solution-based combinatorial synthesis and cellular screening. Nat. Commun. 10(1), 2879. https:\/\/doi.org\/10.1038\/s41467-019-10685-0 (2019) (in Eng).","journal-title":"Nat. Commun."},{"issue":"1","key":"61050_CR5","doi-asserted-by":"publisher","first-page":"1218","DOI":"10.1038\/s41467-026-68774-w","volume":"17","author":"B Kumari","year":"2026","unstructured":"Kumari, B. et al. Single-cell exon deletion profiling reveals splicing events that shape gene expression and cell state dynamics. Nat. Commun. 17(1), 1218. https:\/\/doi.org\/10.1038\/s41467-026-68774-w (2026) (in Eng).","journal-title":"Nat. Commun."},{"issue":"1","key":"61050_CR6","doi-asserted-by":"publisher","first-page":"1412","DOI":"10.1038\/s41467-025-68152-y","volume":"17","author":"W Luo","year":"2026","unstructured":"Luo, W. et al. A Mechanophenotyping chip for high-throughput detection of metastatic bacteria-infected circulating tumor cells. Nat. Commun. 17(1), 1412. https:\/\/doi.org\/10.1038\/s41467-025-68152-y (2026) (in Eng).","journal-title":"Nat. Commun."},{"issue":"1","key":"61050_CR7","doi-asserted-by":"publisher","first-page":"1408","DOI":"10.1038\/s41467-025-68146-w","volume":"17","author":"S Pan","year":"2026","unstructured":"Pan, S. et al. PURE-seq integrates FACS and PIP-seq for single-cell genomics of ultra-rare cells. Nat. Commun. 17(1), 1408. https:\/\/doi.org\/10.1038\/s41467-025-68146-w (2026) (in Eng).","journal-title":"Nat. Commun."},{"issue":"6","key":"61050_CR8","doi-asserted-by":"publisher","first-page":"803","DOI":"10.1038\/s41551-024-01315-2","volume":"9","author":"Z Wang","year":"2025","unstructured":"Wang, Z. & Kelley, S. O. Microfluidic technologies for enhancing the potency, predictability and affordability of adoptive cell therapies. Nat. Biomed. Eng. 9(6), 803\u2013821. https:\/\/doi.org\/10.1038\/s41551-024-01315-2 (2025) (in Eng).","journal-title":"Nat. Biomed. Eng."},{"issue":"7","key":"61050_CR9","doi-asserted-by":"publisher","first-page":"3453","DOI":"10.1021\/acs.langmuir.3c02934","volume":"40","author":"N Sethia","year":"2024","unstructured":"Sethia, N. et al. On chip sorting of stem cell-derived \u03b2 cell clusters using traveling surface acoustic waves. Langmuir 40(7), 3453\u20133462. https:\/\/doi.org\/10.1021\/acs.langmuir.3c02934 (2024) (in Eng).","journal-title":"Langmuir"},{"issue":"1","key":"61050_CR10","doi-asserted-by":"publisher","first-page":"4870","DOI":"10.1038\/s41467-024-49123-1","volume":"15","author":"D Koo","year":"2024","unstructured":"Koo, D. et al. Optimizing cell therapy by sorting cells with high extracellular vesicle secretion. Nat. Commun. 15(1), 4870. https:\/\/doi.org\/10.1038\/s41467-024-49123-1 (2024) (in Eng).","journal-title":"Nat. Commun."},{"issue":"11","key":"61050_CR11","doi-asserted-by":"publisher","first-page":"930","DOI":"10.1038\/s44222-024-00220-2","volume":"2","author":"M Generali","year":"2024","unstructured":"Generali, M. et al. Purification technologies for induced pluripotent stem cell therapies. Nat. Rev. Bioeng. 2(11), 930\u2013943. https:\/\/doi.org\/10.1038\/s44222-024-00220-2 (2024) (in Eng).","journal-title":"Nat. Rev. Bioeng."},{"issue":"5","key":"61050_CR12","doi-asserted-by":"publisher","first-page":"856","DOI":"10.1039\/d4lc00403e","volume":"25","author":"R Joshi","year":"2025","unstructured":"Joshi, R. et al. Advances in microfluidic platforms for tumor cell phenotyping: from bench to bedside. Lab Chip 25(5), 856\u2013883. https:\/\/doi.org\/10.1039\/d4lc00403e (2025) (in Eng).","journal-title":"Lab Chip"},{"issue":"11","key":"61050_CR13","doi-asserted-by":"publisher","first-page":"1445","DOI":"10.1039\/b605937f","volume":"6","author":"D Di Carlo","year":"2006","unstructured":"Di Carlo, D., Wu, L. Y. & Lee, L. P. Dynamic single cell culture array. Lab Chip 6(11), 1445\u20131449. https:\/\/doi.org\/10.1039\/b605937f (2006) (in Eng).","journal-title":"Lab Chip"},{"issue":"3","key":"61050_CR14","doi-asserted-by":"publisher","DOI":"10.1063\/5.0002866","volume":"14","author":"Q Luan","year":"2020","unstructured":"Luan, Q., Macaraniag, C., Zhou, J. & Papautsky, I. Microfluidic systems for hydrodynamic trapping of cells and clusters. Biomicrofluidics 14(3), 031502. https:\/\/doi.org\/10.1063\/5.0002866 (2020).","journal-title":"Biomicrofluidics"},{"issue":"2","key":"61050_CR15","doi-asserted-by":"publisher","first-page":"126","DOI":"10.3390\/bios15020126","volume":"15","author":"D Fan","year":"2025","unstructured":"Fan, D. & Liu, Y. The latest advances in microfluidic DLD cell sorting technology: The optimization of channel design. Biosensors (Basel) 15(2), 126. https:\/\/doi.org\/10.3390\/bios15020126 (2025) (in Eng).","journal-title":"Biosensors (Basel)"},{"key":"61050_CR16","doi-asserted-by":"publisher","first-page":"32","DOI":"10.1038\/s41378-019-0064-3","volume":"5","author":"M Wu","year":"2019","unstructured":"Wu, M. et al. Acoustofluidic separation of cells and particles. Microsyst. Nanoeng. 5, 32. https:\/\/doi.org\/10.1038\/s41378-019-0064-3 (2019) (in Eng).","journal-title":"Microsyst. Nanoeng."},{"issue":"7","key":"61050_CR17","doi-asserted-by":"publisher","DOI":"10.1016\/j.device.2025.100727","volume":"3","author":"CP Thome","year":"2025","unstructured":"Thome, C. P., Tisdale, C. T. & Shields, C. W. Siphon-based multichannel acoustofluidic separator for rapid and multiplexed biomolecule detection. Device 3(7), 100727. https:\/\/doi.org\/10.1016\/j.device.2025.100727 (2025).","journal-title":"Device"},{"issue":"3","key":"61050_CR18","doi-asserted-by":"publisher","first-page":"198","DOI":"10.2174\/1872210515666210428134424","volume":"16","author":"R Abedini-Nassab","year":"2022","unstructured":"Abedini-Nassab, R., Emami, M. S. & Nowghabi, N. A. Nanotechnology and acoustics in medicine and biology. Recent Patents Nanotechnol. 16(3), 198\u2013206. https:\/\/doi.org\/10.2174\/1872210515666210428134424 (2022).","journal-title":"Recent Patents Nanotechnol."},{"issue":"18","key":"61050_CR19","doi-asserted-by":"publisher","first-page":"1438","DOI":"10.1002\/elps.70001","volume":"46","author":"ZA Rashad","year":"2025","unstructured":"Rashad, Z. A., Lacy, K. L., Egun, E., Moore, J. S. & Adams, T. N. G. Label-free sorting of human mesenchymal stem cells using insulating dielectrophoresis. Electrophoresis 46(18), 1438\u20131446. https:\/\/doi.org\/10.1002\/elps.70001 (2025) (in Eng).","journal-title":"Electrophoresis"},{"issue":"34","key":"61050_CR20","doi-asserted-by":"publisher","DOI":"10.1002\/smll.202002400","volume":"16","author":"K Samlali","year":"2020","unstructured":"Samlali, K., Ahmadi, F., Quach, A. B. V., Soffer, G. & Shih, S. C. C. One cell, one drop, one click: Hybrid microfluidics for mammalian single cell isolation. Small 16(34), e2002400. https:\/\/doi.org\/10.1002\/smll.202002400 (2020) (in Eng).","journal-title":"Small"},{"issue":"6","key":"61050_CR21","doi-asserted-by":"publisher","first-page":"7448","DOI":"10.1109\/JSEN.2024.3355770","volume":"24","author":"R Dashti","year":"2024","unstructured":"Dashti, R. & Abedini-Nassab, R. A high-throughput hybrid electromicrofluidic platform for organizing single-cell protein secretion profiling assays. IEEE Sens. J. 24(6), 7448\u20137455. https:\/\/doi.org\/10.1109\/JSEN.2024.3355770 (2024).","journal-title":"IEEE Sens. J."},{"key":"61050_CR22","doi-asserted-by":"publisher","DOI":"10.1016\/j.revip.2020.100043","volume":"5","author":"T Avsievich","year":"2020","unstructured":"Avsievich, T., Zhu, R., Popov, A., Bykov, A. & Meglinski, I. The advancement of blood cell research by optical tweezers. Rev. Phys. 5, 100043. https:\/\/doi.org\/10.1016\/j.revip.2020.100043 (2020).","journal-title":"Rev. Phys."},{"issue":"24","key":"61050_CR23","doi-asserted-by":"publisher","first-page":"671","DOI":"10.1098\/rsif.2008.0052","volume":"5","author":"H Zhang","year":"2008","unstructured":"Zhang, H. & Liu, K.-K. Optical tweezers for single cells. J. R. Soc. Interface 5(24), 671\u2013690. https:\/\/doi.org\/10.1098\/rsif.2008.0052 (2008).","journal-title":"J. R. Soc. Interface"},{"key":"61050_CR24","doi-asserted-by":"publisher","DOI":"10.1016\/j.aca.2023.341425","volume":"1272","author":"R Abedini-Nassab","year":"2023","unstructured":"Abedini-Nassab, R., Sadeghidelouei, N. & Shields, C. W. Magnetophoretic circuits: A review of device designs and implementation for precise single-cell manipulation. Anal. Chim. Acta 1272, 341425. https:\/\/doi.org\/10.1016\/j.aca.2023.341425 (2023) (in Eng).","journal-title":"Anal. Chim. Acta"},{"issue":"11","key":"61050_CR25","doi-asserted-by":"publisher","first-page":"2521","DOI":"10.1039\/d5lc00180c","volume":"25","author":"KM Paz Gonz\u00e1lez","year":"2025","unstructured":"Paz Gonz\u00e1lez, K. M. et al. Blood cell separation with magnetic techniques: A critical review. Lab Chip 25(11), 2521\u20132565. https:\/\/doi.org\/10.1039\/d5lc00180c (2025) (in Eng).","journal-title":"Lab Chip"},{"issue":"1","key":"61050_CR26","doi-asserted-by":"publisher","first-page":"23381","DOI":"10.1038\/s41598-024-74761-2","volume":"14","author":"R Abedini-Nassab","year":"2024","unstructured":"Abedini-Nassab, R., Adibi, E. & Ahmadiasl, S. Characterization of AI-enhanced magnetophoretic transistors operating in a tri-axial magnetic field for on-chip bioparticle sorting. Sci. Rep. 14(1), 23381. https:\/\/doi.org\/10.1038\/s41598-024-74761-2 (2024) (in Eng).","journal-title":"Sci. Rep."},{"key":"61050_CR27","doi-asserted-by":"publisher","DOI":"10.1063\/5.0252514","author":"P Pathak","year":"2025","unstructured":"Pathak, P., Yadav, V. K. & Mallick, D. Voltage-controlled strain-mediated elliptical micro-magnetic motors for single magnetic bead manipulation. Appl. Phys. Lett. https:\/\/doi.org\/10.1063\/5.0252514 (2025).","journal-title":"Appl. Phys. Lett."},{"issue":"5","key":"61050_CR28","doi-asserted-by":"publisher","first-page":"2820","DOI":"10.1039\/D3RA00150D","volume":"13","author":"P Pathak","year":"2023","unstructured":"Pathak, P., Yadav, V. K. & Mallick, D. Deterministic domain wall rotation in a strain mediated FeGaB\/PMN-PT asymmetrical ring structure for manipulating trapped magnetic nanoparticles in a fluidic environment. RSC Adv. 13(5), 2820\u20132832. https:\/\/doi.org\/10.1039\/D3RA00150D (2023).","journal-title":"RSC Adv."},{"issue":"1","key":"61050_CR29","doi-asserted-by":"publisher","first-page":"6380","DOI":"10.1038\/s41598-022-10122-1","volume":"12","author":"R Abedini-Nassab","year":"2022","unstructured":"Abedini-Nassab, R. & Shourabi, R. High-throughput precise particle transport at single-particle resolution in a three-dimensional magnetic field for highly sensitive bio-detection. Sci. Rep. 12(1), 6380. https:\/\/doi.org\/10.1038\/s41598-022-10122-1 (2022) (in Eng).","journal-title":"Sci. Rep."},{"issue":"1","key":"61050_CR30","doi-asserted-by":"publisher","first-page":"382","DOI":"10.1109\/JSEN.2024.3500773","volume":"25","author":"R Abedini-Nassab","year":"2025","unstructured":"Abedini-Nassab, R., Toosi, M. A., Shen, Y., Maghsoodi, F. & Dan, Y. Magnetophoretic capacitors operating in a tri-axial magnetic field for on-chip bioapplications. IEEE Sens. J. 25(1), 382\u2013389. https:\/\/doi.org\/10.1109\/JSEN.2024.3500773 (2025).","journal-title":"IEEE Sens. J."},{"issue":"10","key":"61050_CR31","doi-asserted-by":"publisher","first-page":"1998","DOI":"10.1039\/d1lc00097g","volume":"21","author":"R Abedini-Nassab","year":"2021","unstructured":"Abedini-Nassab, R. & Bahrami, S. Synchronous control of magnetic particles and magnetized cells in a tri-axial magnetic field. Lab Chip 21(10), 1998\u20132007. https:\/\/doi.org\/10.1039\/d1lc00097g (2021) (in Eng).","journal-title":"Lab Chip"},{"issue":"8","key":"61050_CR32","doi-asserted-by":"publisher","first-page":"974","DOI":"10.1039\/b604542a","volume":"6","author":"N Pamme","year":"2006","unstructured":"Pamme, N. & Wilhelm, C. Continuous sorting of magnetic cells via on-chip free-flow magnetophoresis. Lab Chip 6(8), 974\u2013980. https:\/\/doi.org\/10.1039\/b604542a (2006) (in Eng).","journal-title":"Lab Chip"},{"issue":"2","key":"61050_CR33","doi-asserted-by":"publisher","first-page":"108","DOI":"10.1038\/s41551-021-00820-y","volume":"6","author":"Z Wang","year":"2022","unstructured":"Wang, Z. et al. Efficient recovery of potent tumour-infiltrating lymphocytes through quantitative immunomagnetic cell sorting. Nat. Biomed. Eng. 6(2), 108\u2013117. https:\/\/doi.org\/10.1038\/s41551-021-00820-y (2022) (in Eng).","journal-title":"Nat. Biomed. Eng."},{"key":"61050_CR34","doi-asserted-by":"publisher","first-page":"3846","DOI":"10.1038\/ncomms4846","volume":"5","author":"B Lim","year":"2014","unstructured":"Lim, B. et al. Magnetophoretic circuits for digital control of single particles and cells. Nat. Commun. 5, 3846. https:\/\/doi.org\/10.1038\/ncomms4846 (2014) (in Eng).","journal-title":"Nat. Commun."},{"issue":"40","key":"61050_CR35","doi-asserted-by":"publisher","first-page":"6176","DOI":"10.1002\/adma.201502352","volume":"27","author":"R Abedini-Nassab","year":"2015","unstructured":"Abedini-Nassab, R. et al. Characterizing the switching thresholds of magnetophoretic transistors. Adv. Mater. 27(40), 6176\u20136180. https:\/\/doi.org\/10.1002\/adma.201502352 (2015) (in Eng).","journal-title":"Adv. Mater."},{"issue":"12","key":"61050_CR36","doi-asserted-by":"publisher","DOI":"10.22060\/mej.2026.25348.7943","volume":"57","author":"A Mohammadi Moazed","year":"2026","unstructured":"Mohammadi Moazed A & Abedini-Nassab R. Design and Numerical Simulation of a Magnetophoretic System with a Rotating-Field for Manipulation and Separation of Magnetic Microparticles. Amirkabir J Mech Eng.\u00a057(12),\u00a0e6067. https:\/\/doi.org\/10.22060\/mej.2026.25348.7943 (2026) (in Persian).","journal-title":"Amirkabir J Mech Eng."},{"issue":"1","key":"61050_CR37","doi-asserted-by":"publisher","first-page":"277","DOI":"10.1016\/S0304-8853(00)01251-8","volume":"225","author":"LR Moore","year":"2001","unstructured":"Moore, L. R. et al. Progenitor cell isolation with a high-capacity quadrupole magnetic flow sorter. J. Magn. Magn. Mater. 225(1), 277\u2013284. https:\/\/doi.org\/10.1016\/S0304-8853(00)01251-8 (2001).","journal-title":"J. Magn. Magn. Mater."},{"issue":"13","key":"61050_CR38","doi-asserted-by":"publisher","first-page":"2881","DOI":"10.1039\/D4SM00122B","volume":"20","author":"S van Kesteren","year":"2024","unstructured":"van Kesteren, S., Diethelm, P. & Isa, L. Fluorescence-activated cell sorting (FACS) for purifying colloidal clusters. Soft Matter 20(13), 2881\u20132886. https:\/\/doi.org\/10.1039\/D4SM00122B (2024).","journal-title":"Soft Matter"},{"issue":"4","key":"61050_CR39","doi-asserted-by":"publisher","first-page":"959","DOI":"10.1039\/C5LC00106D","volume":"15","author":"M Hejazian","year":"2015","unstructured":"Hejazian, M., Li, W. & Nguyen, N.-T. Lab on a chip for continuous-flow magnetic cell separation. Lab Chip 15(4), 959\u2013970. https:\/\/doi.org\/10.1039\/C5LC00106D (2015).","journal-title":"Lab Chip"}],"container-title":["Scientific Reports"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.nature.com\/articles\/s41598-026-61050-3","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.nature.com\/articles\/s41598-026-61050-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.nature.com\/articles\/s41598-026-61050-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,10,4]],"date-time":"2026-10-04T22:31:24Z","timestamp":1791153084000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.nature.com\/articles\/s41598-026-61050-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,7,3]]},"references-count":39,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2026,12]]}},"alternative-id":["61050"],"URL":"https:\/\/doi.org\/10.1038\/s41598-026-61050-3","relation":{},"ISSN":["2045-2322"],"issn-type":[{"value":"2045-2322","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,7,3]]},"assertion":[{"value":"11 February 2026","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 July 2026","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 July 2026","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"The authors declare no competing interests.","order":1,"name":"Ethics","label":"Competing interests","group":{"name":"EthicsHeading","label":"Ethics"}}],"article-number":"30715"}}