Quantifying dispersion of finite-sized particles in deterministic lateral displacement microflow separators through Brenner's macrotransport paradigm

Microfluidics and Nanofluidics

Volumn 15, Issue 4, 2013, Pages 431-449

  Cerbelli, Stefano ^a   Giona, Massimiliano ^a   Garofalo, Fabio ^a,b  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Effective diffusivity; Fractionation; Lateral displacement; Macrotransport theory; Particle sorting; Periodic lattice

Indexed keywords

EFFECTIVE DIFFUSIVITIES; LATERAL DISPLACEMENTS; MACROTRANSPORT THEORY; PARTICLE SORTING; PERIODIC LATTICES;

DISPERSIONS; FRACTIONATION; LATTICE THEORY; PARTICLE SIZE;

SCREENING;

EID: 84885317905     PISSN: 16134982     EISSN: 16134990     Source Type: Journal    
DOI: 10.1007/s10404-013-1150-8     Document Type: Article

References (29)

1. Al-Fandi M, Al-Rousan M, Jaradat M, Al-Ebbini L (2011) New design for the separation of microorganisms using microfluidic deterministic lateral displacement. Robot Comput-Integr Manuf 27(2):237-244
2. Balvin M, Sohn E, Iracki T, Drazer G, Frechette J (2009) Directional locking and the role of irreversible interactions in deterministic hydrodynamics separations in microfluidic devices. Phys Rev Lett 103:078301
3. Brenner H, Edwards D (1993) Macrotransport processes (Butterworth- Heinemann Series in Chemical Engineering, New York 1993)
4. Cerbelli S (2012) Separation of polydisperse particle mixtures by deterministic lateral displacement. The impact of particle diffusivity on separation efficiency. Asia-Pac J Chem Eng 7(Suppl 3):S356-S371
5. Dorfman K, Brenner H (2002) Separation mechanisms underlying vector chromatography in microlitographic arrays. Phys Rev E 65(2):021103/1
6. Edwards D, Shapiro M, Brenner H, Shapira M (1991) Dispersion of inert solutes in spatially periodic, two-dimensional model porous media. Transp Porous Media 6(4):337-358
7. Fannjiang A, Papanicolaou G (1994) Convection-enhanced diffusion for periodic flows. SIAM J Appl Math 54:333-408
8. Frechette J, Drazer G (2009) Directional locking and deterministic separation in periodic arrays. J Fluid Mech 627:379-401
9. Gauthier M, Slater G, Dorfman K (2004) Exact lattice calculations of dispersion coefficients in the presence of external fields and obstacles. Eur Phys J E 15(1):71-82
10. Ghosh P, Hänggi P, Marchesoni F, Martens S, Nori F, Schimansky-Geier L, Schmid G (2012) Driven Brownian transport through arrays of symmetric obstacles. Phys Rev E 85(1):011101
11. Gleeson J, Sancho J, Lacasta A, Lindenberg K (2006) Analytical approach to sorting in periodic and random potentials. Phys Rev E 73:041102
12. Green J, Radisic M, Murthy S (2009) Deterministic lateral displacement as a means to enrich large cells for tissue engineering. Anal Chem 81(21):9178-9182
13. Grimm A, Grser O (2010) Obstacle design for pressure-driven vector chromatography in microfluidic devices. EPL 92(2):24001
14. Heller M, Bruus H (2008) A theoretical analysis of the resolution due to diffusion and size dispersion of particles in deterministic lateral displacement devices. J Micromech Microeng 18:075030
15. Herrmann J, Karweit M, Drazer G (2009) Separation of suspended particles by directional locking in periodic fields. Phys Rev E 79:061404
16. Holm S, Beech J, Barrett M, Tegenfeldt J (2011) Separation of parasites from human blood using deterministic lateral displacement. Lab Chip 11(7):1326-1332
17. Huang L, Cox E, Austin R, Sturm J (2004) Continuous particle separation through deterministic lateral displacement. Science 304:987-990
18. Inglis D, Davis J, Austin R, Sturm J (2006) Critical particle size for fractionation by deterministic lateral displacement. Lab Chip 6:655-658
19. Inglis D (2009) Efficient microfluidic particle separation arrays. Appl Phys Lett 94(1):013510
20. Inglis D, Herman N, Vesey G (2010) Highly accurate deterministic lateral displacement device and its application to purification of fungal spores. Biomicrofluidics 4(2):024109
21. Kirchner J, Hasselbrink E Jr (2005) Dispersion of solute by electrokinetic flow through post arrays and wavy-walled channels. Anal Chem 77(4):1140-1146
22. Lasota AA, Mackey M (1994) Chaos, fractals, and noise: stochastic aspects of dynamics, vol 97, 2nd edn. Appl Math Sci. Springer, New York
23. Li Z, Drazer G (2007) Separation of suspended particles by array of obstacles in microfluidic devices. Phys Rev Lett 98:050602
24. Li N, Kamei D, Ho CM (2007) On-chip continuous blood cell subtype separation by deterministic lateral displacement. Proceedings of the 2nd IEEE International Conference on Nano/Micro Engineered and Molecular Systems, IEEE NEMS 2007, pp 932-936
25. Long B, Heller M, Beech J, Linke H, Bruus H, Tegenfeldt J (2008) Multidirectional sorting modes in deterministic lateral displacement devices. Phys Rev E 78:046304
26. Loutherback K, Chou K, Newman J, Puchalla J, Austin R, Sturm J (2010) Improved performance of deterministic lateral displacement arrays with triangular posts. Microfluid Nanofluid 9(6):1143-1149
27. Maxey M, Riley J (1983) Equation of motion for a small rigid sphere in a nonuniform flow. Phys Fluids 26:883-889
28. Small H, Lanshorst M (1982) Hydrodynamic chromatography. Anal Chem 54(8):892A-898A
29. Sun T, Chance R, Graessley W, Lohse D (2004) A study of the separation principle in size exclusion chromatography. Macromolecules 37(11):4304-4312