Abstract
Numerous situations involve the capture of particles onto a functionalized surface in a laminar flow, such as classical biomedical assays, lab on a chip devices or even biological research protocols. Being able to control this capture is thus an important issue that we address in this paper. We focus on a simple and widely used geometry, the straight microfluidic channel, in which particles undergo two weak effects: diffusion towards the functionalized surface and lift forces expelling them away from it. We show that the competition between these two weak mechanisms yields strongly different capture behavior whose occurrence depends on the value of a new lifto-diffusive dimensionless number \({\mathcal {N}}_{\text {LD}}\). We show that tuning the flow rate and the channel dimension to get proper values of this number allow to trigger, via a pure hydrodynamic effect, the capture or non-capture of particles on surfaces. For example, we show that, under certain conditions, doubling the flow rate reduces the capture rate by four orders of magnitude. Additionally, we provide the particle distribution in the liquid along the channel, resulting from this competition, for different \({\mathcal {N}}_{\text {LD}}\) values. We believe that this work opens new perspectives for analysis and biotechnology applications. More precisely, the proposed model should extend to any transverse force that can be written in the form of a potential energy.
Similar content being viewed by others
References
Ackerberg R, Patel R, Gupta S (1978) The heat/mass transfer to a finite strip at small Péclet numbers. J Fluid Mech 86:49–65
Adamczyk Z, Siwek B, Zembala M, Belouschek P (1994) Kinetics of localized adsorption of colloid particles. Adv Coll Interface Sci 48:151–280
Alden JA, Compton RG (1996) Hydrodynamic voltammetry with channel microband electrodes: axial diffusion effects. J Electroanal Chem 404:27–35
Amatore C, Da Mota N, Sella C, Thouin L (2007) Theory and experiments of transport at channel microband electrodes under laminar flows. 1. Steady-state regimes at a single electrode. Anal Chem 79:8502–8510
Beaucourt J, Biben T, Misbah C (2004) Optimal lift force on vesicles near a compressible substrate. Europhys Lett 67:676
Branagan SP, Contento NM, Bohn PW (2012) Enhanced mass transport of electroactive species to annular nanoband electrodes embedded in nanocapillary array membranes. J Am Chem Soc 134:8617–8624
Burris KP, Stewart CN Jr (2012) Fluorescent nanoparticles: sensing pathogens and toxins in foods and crops. Trends Food Sci Technol 28:143–152
Callens N, Hoyos M, Kurowski P, Iorio CS (2008) Particle sorting in a mini step-split-flow thin channel: influence of hydrodynamic shear on transversal migration. Anal Chem 80:4866–4875
Chen A, Kozak D, Battersby BJ, Forrest RM, Scholler N, Urban N, Trau M (2009) Antifouling surface layers for improved signal-to-noise of particle-based immunoassays. Langmuir 25:13510–13515
Cherukat P, McLaughlin JB (1994) The inertial lift on a rigid sphere in a linear shear. J Fluid Mech 263:1–18
Cherukat P, McLaughlin JB, Dandy DS (1999) A computational study of the inertial lift on a sphere in a linear shear flow field. Int J Multiph Flow 25:15–33
Compton RG, Fisher AC, Wellington RG, Dobson PJ, Leigh PA (1993) Hydrodynamic voltammetry with microelectrodes: channel microband electrodes; theory and experiment. J Phys Chem 97:10410–10415
Ferraro D, Champ J, Teste B, Serra M, Malaquin L, Descroix S, de Cremoux P, Viovy, (2017) J.-L. Microchip Diagnostics; Springer 113–121
Guo H, Idris NM, Zhang Y (2011) LRET-based biodetection of DNA release in live cells using surface-modified upconverting fluorescent nanoparticles. Langmuir 27:2854–2860
Hamaker HC (1937) The London-van der Waals attraction between spherical particles. Physica 4:1058–1072
Helmy A, Barthes-Biesel D (1982) Migration of a spherical capsule freely suspended in an unbounded parabolic flow. Journal de Mécanique théorique et appliquée 1:859–880
Israelachvili JN (2011) Intermolecular and surface forces. Academic press, Cambridge
King MR, Leighton DT Jr (1997) Measurement of the inertial lift on a moving sphere in contact with a plane wall in a shear flow. Phys Fluids 9:1248–1255
Krishnan GP, Leighton DT Jr (1995) Inertial lift on a moving sphere in contact with a plane wall in a shear flow. Phys Fluids 7:2538–2545
Kuzmichev A, Skolnik J, Zybin A, Hergenröder R (2018) Absolute analysis of nanoparticle suspension with surface plasmon microscopy. Anal Chem 90:10732–10737
Lemineur J-F, Stockmann TJ, Médard J, Smadja C, Combellas C, Kanoufi F (2019) Optical nanoimpacts of dielectric and metallic nanoparticles on gold surface by reflectance microscopy: adsorption or bouncing? J Anal Test 3:175–188
Li Q, Rudolph V, Peukert W (2006) London-van der Waals adhesiveness of rough particles. Powder Technol 161:248–255
Matas J, Morris J, Guazzelli E (2004) Lateral forces on a sphere. Oil Gas Sci Technol 59:59–70
Mutlu BR, Edd JF, Toner M (2018) Oscillatory inertial focusing in infinite microchannels. Proc Natl Acad Sci 115:7682–7687
Newman J (1973) The fundamental principles of current distribution and mass transport in electrochemical cells in electroanalytical chemistry, vol 6. Marcel Dekher, lnc, New York (AJ Bard, ed.)
Ni K, Lu H, Wang C, Black KC, Wei D, Ren Y, Messersmith PB (2012) A novel technique for in situ aggregation of Gluconobacter oxydans using bio-adhesive magnetic nanoparticles. Biotechnol Bioeng 109:2970–2977
Nieuwstadt HA, Seda R, Li DS, Fowlkes JB, Bull JL (2011) Microfluidic particle sorting utilizing inertial lift force. Biomed Microdevice 13:97–105
Nunna BB, Mandal D, Lee JU, Singh H, Zhuang S, Misra D, Bhuyian MNU, Lee ES (2019) Detection of cancer antigens (CA-125) using gold nano particles on interdigitated electrode-based microfluidic biosensor. Nano Converg 6:1–12
Parant H, Muller G, Le Mercier T, Poulin P, Tarascon J-M, Colin A (2017) Complete study of a millifluidic flow battery using iodide and ferricyanide ions: modeling, effect of the flow and kinetics. Microfluid Nanofluid 21:171
Rees NV, Alden JA, Dryfe RA, Coles BA, Compton RG (1995) Voltammetry under high mass transport conditions. The high speed channel electrode and heterogeneous kinetics. J Phys Chem 99:14813–14818
Rueden CT, Schindelin J, Hiner MC, DeZonia BE, Walter AE, Arena ET, Eliceiri KW (2017) Image J2: ImageJ for the next generation of scientific image data. BMC Bioinform 18:529
Sansuk S, Bitziou E, Joseph MB, Covington JA, Boutelle MG, Unwin PR, Macpherson JV (2013) Ultrasensitive detection of dopamine using a carbon nanotube network microfluidic flow electrode. Anal Chem 85:163–169
Schneider CA, Rasband WS, Eliceiri KW (2012) NIH Image to ImageJ: 25 years of image analysis. Nat Methods 9:671
Schonberg JA, Hinch E (1989) Inertial migration of a sphere in Poiseuille flow. J Fluid Mech 203:517–524
Segré G, Silberberg A (1962) Behaviour of macroscopic rigid spheres in Poiseuille flow Part 1. Determination of local concentration by statistical analysis of particle passages through crossed light beams. J Fluid Mech 14:115–135
Segré G, Silberberg A (1962) Behaviour of macroscopic rigid spheres in Poiseuille flow Part 2. Experimental results and interpretation. J Fluid Mech 14:136–157
Singh RK, Li X, Sarkar K (2014) Lateral migration of a capsule in plane shear near a wall. J Fluid Mech 739:421–443
Song W-J, Du J-Z, Sun T, Zhang P-Z, Wang J (2010) Gold nanoparticles capped with polyethyleneimine for enhanced siRNA delivery. Small 6:239–246
Squires TM, Messinger RJ, Manalis SR (2008) Making it stick: convection, reaction and diffusion in surface-based biosensors. Nat Biotechnol 26:417
Teste B, Vial J, Descroix S, Georgelin T, Siaugue J-M, Petr J, Varenne A, Hennion M-C (2010) A chemometric approach for optimizing protein covalent immobilization on magnetic core-shell nanoparticles in view of an alternative immunoassay. Talanta 81:1703–1710
Teste B, Kanoufi F, Descroix S, Poncet P, Georgelin T, Siaugue J-M, Petr J, Varenne A, Hennion M-C (2011) Kinetic analyses and performance of a colloidal magnetic nanoparticle based immunoassay dedicated to allergy diagnosis. Anal Bioanal Chem 400:3395–3407
Teste B, Malloggi F, Siaugue J-M, Varenne A, Kanoufi F, Descroix S (2011) Microchip integrating magnetic nanoparticles for allergy diagnosis. Lab Chip 11:4207–4213
Tulukguoglu E, Bureau C, Perez-Toralla K, Descroix S, Malaquin L, Pierga J, Bidard F, Viovy J (2014) A microfluidic CTC sorting strategy using self-assembled magnetic particles. Anticancer Res 34:6233–6234
van der Maaden K, Sliedregt K, Kros A, Jiskoot W, Bouwstra J (2012) Fluorescent nanoparticle adhesion assay: a novel method for surface pK a determination of self-assembled monolayers on silicon surfaces. Langmuir 28:3403–3411
Xia Y, Whitesides GM (1998) Soft lithography. Annu Rev Mater Sci 28:153–184
Yahiaoui S, Feuillebois F (2010) Lift on a sphere moving near a wall in a parabolic flow. J Fluid Mech 662:447–474
Zebda A, Renaud L, Cretin M, Innocent C, Pichot F, Ferrigno R, Tingry S (2009) Electrochemical performance of a glucose/oxygen microfluidic biofuel cell. J Power Sources 193:602–606
Zhou J, Papautsky I (2013) Fundamentals of inertial focusing in microchannels. Lab Chip 13:1121–1132
Acknowledgements
This work was supported by CNRS, Université de Rennes 1, ENS de Rennes, Région Bretagne, Rennes Métropole and Agence Nationale de la Recherche (ANR) under the Grant ANR-18-CE09-0029.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Supplementary Information
Below is the link to the electronic supplementary material.
Rights and permissions
About this article
Cite this article
Mottin, D., Razan, F., Kanoufi, F. et al. Influence of lift forces on particle capture on a functionalized surface. Microfluid Nanofluid 25, 89 (2021). https://doi.org/10.1007/s10404-021-02488-x
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10404-021-02488-x