{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,13]],"date-time":"2026-06-13T07:12:47Z","timestamp":1781334767941,"version":"3.54.1"},"reference-count":30,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2014,12,30]],"date-time":"2014-12-30T00:00:00Z","timestamp":1419897600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Micromachines"],"abstract":"<jats:p>This paper presents and compares two different strategies in the numerical simulation of passive microfluidic mixers based on chaotic advection. In addition to flow velocity field calculations, concentration distributions of molecules and trajectories of microscale particles were determined and compared to evaluate the performance of the applied modeling approaches in the proposed geometries. A staggered herringbone type micromixer (SHM) was selected and studied in order to demonstrate finite element modeling issues. The selected microstructures were fabricated by a soft lithography technique, utilizing multilayer SU-8 epoxy-based photoresist as a molding replica for polydimethylsiloxane (PDMS) casting. The mixing processes in the microfluidic systems were characterized by applying molecular and particle (cell) solutions and adequate microscopic visualization techniques. We proved that modeling of the molecular concentration field is more costly, in regards to computational time, than the particle trajectory based method. However, both approaches showed adequate qualitative agreement with the experimental results.<\/jats:p>","DOI":"10.3390\/mi6010136","type":"journal-article","created":{"date-parts":[[2014,12,30]],"date-time":"2014-12-30T09:42:58Z","timestamp":1419932578000},"page":"136-150","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":30,"title":["Optimized Simulation and Validation of Particle Advection in Asymmetric Staggered Herringbone Type Micromixers"],"prefix":"10.3390","volume":"6","author":[{"given":"Eszter","family":"T\u00f3th","sequence":"first","affiliation":[{"name":"Faculty of Information Technology and Bionics, P\u00e1zm\u00e1ny P\u00e9ter Catholic University, Pr\u00e1ter utca 50\/a, H-1083 Budapest, Hungary"},{"name":"Research Centre for Natural Sciences, Institute for Technical Physics and Materials Science, Hungarian Academy of Sciences, Konkoly Thege M. \u00fat 29-33, H-1121 Budapest, Hungary"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Eszter","family":"Holczer","sequence":"additional","affiliation":[{"name":"Research Centre for Natural Sciences, Institute for Technical Physics and Materials Science, Hungarian Academy of Sciences, Konkoly Thege M. \u00fat 29-33, H-1121 Budapest, Hungary"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Krist\u00f3f","family":"Iv\u00e1n","sequence":"additional","affiliation":[{"name":"Faculty of Information Technology and Bionics, P\u00e1zm\u00e1ny P\u00e9ter Catholic University, Pr\u00e1ter utca 50\/a, H-1083 Budapest, Hungary"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8022-4367","authenticated-orcid":false,"given":"P\u00e9ter","family":"F\u00fcrjes","sequence":"additional","affiliation":[{"name":"Research Centre for Natural Sciences, Institute for Technical Physics and Materials Science, Hungarian Academy of Sciences, Konkoly Thege M. \u00fat 29-33, H-1121 Budapest, Hungary"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2014,12,30]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1007\/s10404-005-0041-z","article-title":"Towards numerical prototyping of labs-on-chip: Modeling for integrated microfluidic devices","volume":"1","author":"Erickson","year":"2005","journal-title":"Microfluid. Nanofluid."},{"key":"ref_2","first-page":"1","article-title":"PDMS microfluidics developed for polymer based photonic biosensors","volume":"2014","author":"Holczer","year":"2014","journal-title":"Microsyst. Technol."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"2565","DOI":"10.1016\/j.procs.2013.05.442","article-title":"Multiscale modeling of blood flow: Coupling finite elements with smoothed dissipative particle dynamics","volume":"18","author":"Morenoa","year":"2013","journal-title":"Proced. Comput. Sci."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"919","DOI":"10.1166\/jnn.2011.3536","article-title":"Modeling Particle Shape-Dependent Dynamics in Nanomedicine","volume":"11","author":"Shah","year":"2011","journal-title":"J. Nanosci. Nanotechnol."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1496","DOI":"10.1016\/j.addr.2013.08.002","article-title":"Microfluidic and lab-on-a-chip preparation routes for organic nanoparticles and vesicular systems for nanomedicine applications","volume":"65","author":"Capretto","year":"2013","journal-title":"Adv. Drug Deliv. Rev."},{"key":"ref_6","first-page":"1","article-title":"Production of nanoparticle drug delivery systems with microfluidics tools","volume":"2014","author":"Khan","year":"2014","journal-title":"Expert Opin. Drug Deliv."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"647","DOI":"10.1126\/science.1066238","article-title":"Chaotic Mixer for Microchannels","volume":"295","author":"Stroock","year":"2002","journal-title":"Science"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"394","DOI":"10.1038\/nature05062","article-title":"Control and detection of chemical reactions in microfluidic systems","volume":"442","year":"2006","journal-title":"Nature"},{"key":"ref_9","unstructured":"Nguyen, N.-T. (2011). Micromixers: Fundamentals, Design and Fabrication, William Andrew Publishing."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1017\/S0022112084001233","article-title":"Stirring by chaotic advection","volume":"143","author":"Aref","year":"1984","journal-title":"J. Fluid Mech."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1315","DOI":"10.1063\/1.1458932","article-title":"The development of chaotic advection","volume":"14","author":"Aref","year":"2002","journal-title":"Phys. Fluids"},{"key":"ref_12","unstructured":"COMSOL Multiphysics. Available online:http:\/\/www.comsol.com."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"315","DOI":"10.2118\/2811-PA","article-title":"Quantitative Evaluation of Numerical Diffusion (truncation Error)","volume":"11","author":"Lantz","year":"1970","journal-title":"Soc. Pet. Eng. J."},{"key":"ref_14","unstructured":"Density of Blood. Available online:http:\/\/hypertextbook.com\/facts\/2004\/MichaelShmukler.shtml."},{"key":"ref_15","unstructured":"Kutz, M. (2003). Standard Handbook of Biomedical Engineering and Design, McGraw-Hill."},{"key":"ref_16","unstructured":"Dow Corning Corp.. Available online:http:\/\/www.dowcorning.com."},{"key":"ref_17","unstructured":"MicroChem Corp.. Available online:http:\/\/www.microchem.com."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1088\/0960-1317\/17\/6\/R01","article-title":"SU-8: A photoresist for high-aspect-ratio and 3D submicron lithography","volume":"17","author":"Greiner","year":"2007","journal-title":"J. Micromech. Microeng."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"276","DOI":"10.1088\/0960-1317\/16\/2\/012","article-title":"Fabrication of multi-layer SU-8 microstructures","volume":"16","author":"Mata","year":"2006","journal-title":"J. Micromech. Microeng."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"025601","DOI":"10.1088\/2040-8978\/15\/2\/025601","article-title":"Three-dimensional staggered herringbone mixer fabricated by femtosecond laser direct writing","volume":"15","author":"Lin","year":"2013","journal-title":"J. Opt."},{"key":"ref_21","unstructured":"Brewer Science Inc.. Available online:http:\/\/www.brewerscience.com."},{"key":"ref_22","unstructured":"S\u00dcSS MicroTec AG. Available online:http:\/\/www.suss.com."},{"key":"ref_23","unstructured":"Terra Universal Inc.. Available online:http:\/\/www.terrauniversal.com."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"3330","DOI":"10.1039\/b906523g","article-title":"Toward one-step point-of-care immunodiagnostics using capillary-driven microfluidics and PDMS substrates","volume":"9","author":"Gervais","year":"2009","journal-title":"Lab Chip"},{"key":"ref_25","unstructured":"Material Safety Data Sheet Tartrazine MSDS. Available online:http:\/\/www.vinayakcorporation.com\/tarmsdc.htm."},{"key":"ref_26","unstructured":"ZEISS International. Available online:http:\/\/www.zeiss.com."},{"key":"ref_27","unstructured":"Diatron MI PLC. Available online:http:\/\/www.diatron.com."},{"key":"ref_28","unstructured":"ImageJ, Available online:http:\/\/imagej.nih.gov\/ij\/index.html."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1016\/j.jmoldx.2012.09.004","article-title":"Microfluidics and Circulating Tumor Cells","volume":"15","author":"Dong","year":"2013","journal-title":"J. Mol. Diagn."},{"key":"ref_30","unstructured":"P3SENS Project. Available online:http:\/\/www.p3sens-project.eu\/."}],"container-title":["Micromachines"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-666X\/6\/1\/136\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T21:11:54Z","timestamp":1760217114000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-666X\/6\/1\/136"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,12,30]]},"references-count":30,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2015,1]]}},"alternative-id":["mi6010136"],"URL":"https:\/\/doi.org\/10.3390\/mi6010136","relation":{},"ISSN":["2072-666X"],"issn-type":[{"value":"2072-666X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,12,30]]}}}