Abstract
We present a statistical approach to particle tracking velocimetry developed to treat the issues associated with nanometer-sized tracer particles such as fluorescent molecules and quantum dots (QDs) along with theory and experimental results. Extremely small tracers pose problems to traditional tracking methods due to high levels of thermal motion, high levels of intensified camera noise, high drop-in/drop-out rates and, in the case of QDs, fluorescence intermittency (“blinking”). The algorithm presented here compensates for these problems in a statistical manner and determines the physical velocity distributions from measured particle displacement distributions by statistically removing randomly distributed, non-physical tracking events. The algorithm is verified with both numerically simulated particle trackings and experiments using 54 nm diameter fluorescent dextran molecules and 6 and 16 nm diameter QDs.
Similar content being viewed by others
References
Adrian RJ (1991) Particle imaging techniques for experimental fluid mechanics. Annu Rev Fluid Mech 23:261–304
Bausch AR, Weitz DA (2002) Tracking the dynamics of single quantum dots: beating the optical resolution twice. J Nanoparticle Res 4:477–481
Breedveld V, van den Ende D, Acrivos ATA (1998) The measurement of the shear-induced particle and fluid tracer diffusivities in concentrated suspensions by a novel method. J Fluid Mech 375:297–318
Burke MW (1996) Image acquisition, 1st edn. Chapman and Hall, London, chap 5
Cheezum MK, Walker WF, Guilford WF (2001) Quantitative comparisons of algorithms for tracking single fluorescent particles. Biophys J 81:2378–2388
Cheng Y, Prud’homme RK, Thomas JL (2002) Diffusion of mesoscopic probes in aqueous polymer solutions measured by fluorescence recovery after photobleaching. Macromolecules 35:8111–8121
Chung I, Bawendi MG (2004) Relationship between single quantum dot intermittency and fluorescence decays from collections of dots. Phys Rev B 70:2897–2902
Hohng S, Ha T (2004) Near-complete supression of quantum dot blinking in ambient conditions. J Am Chem Soc 126:1324–1325
Huang P, Guasto JS, Breuer KS (2006) Direct measurement of slip velocities using 3-d total internal reflection velocimetry. J Fluid Mech 566:447–464
Inoue S, Spring KR (1997) Video microscopy: the fundamentals, 2nd edn. Plenum Press, New York
Jin S, Huang P, Park J, Yoo JY, Breuer KS (2004) Near-surface velocimetry using evanescent wave illumination. Exp Fluids 37:825–833
Kendall M, Stuart A (1977) The advanced theory of statistics, vol 1, 4th edn. Macmillan, New York, chap 10
Lin TH, Phillies GD (1984) Probe diffusion in poly(acrylic acid)-water. Effect of probe size. Macromolecules 17:1686–1691
Lin B, Yu J, Rice SA (2000) Direct measurements of constrained brownian motion of an isolated sphere between two walls. Phys Rev E 62:3909–3919
Meinhart CD, Wereley ST (2003) The theory of diffraction-limited resolution in microparticles image velocimetry. Meas Sci Technol 14:1047–1053
Nirmal M, Dabbousi BO, Bawendi MG, Macklin JJ, Trautman JK, Harris TD, Brus LE (1996) Fluorescence intermittency in single cadmium selenide nanocrystals. Nature 383:802–804
Pouya S, Koochesfahani M, Snee P, Bawendi M, Nocera D (2005) Single quantum dot (qd) imaging of fluid flow near surfaces. Exp Fluids 39:784–786
Schmidt T, Schutz GJ, Baumgartner W, Gruber HJ, Schindler H (1996) Imaging of single molecule diffusion. Proc Natl Acad Sci USA 93:2926–2929
Sheely ML (1932) Glycerol viscosity tables. Ind Eng Chem 24:1060–1064
Shimizu KT, Neuhauser RG, Leatherdale CA, Empedocles SA, Woo WK, Bawendi MG (2001) Blinking statistics in single semiconductor nanocrystal quantum dots. Phys Rev B 63:1–5
Wereley ST, Meinhart CD (2005) Microscale diagnostic techniques. Springer, Berlin Heidelberg New York, chap 2
Acknowledgments
This research was supported by Sandia National Laboratories through a joint SNL/NSF research program, and by Physical Sciences Incorporated, through a USAF STTR program.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Guasto, J.S., Huang, P. & Breuer, K.S. Statistical particle tracking velocimetry using molecular and quantum dot tracer particles. Exp Fluids 41, 869–880 (2006). https://doi.org/10.1007/s00348-006-0202-1
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00348-006-0202-1