Statistical Challenges in Microrheology

20 Pages Posted: 30 Aug 2012

See all articles by Gustavo Didier

Gustavo Didier

Tulane University

Scott A. McKinley

affiliation not provided to SSRN

David Hill

University of North Carolina (UNC) at Chapel Hill

John Fricks

affiliation not provided to SSRN

Date Written: September 2012

Abstract

Microrheology is the study of the properties of a complex fluid through the diffusion dynamics of small particles, typically latex beads, moving through that material. Currently, it is the dominant technique in the study of the physical properties of biological fluids, of the material properties of membranes or the cytoplasm of cells, or of the entire cell. The theoretical underpinning of microrheology was given in Mason and Weitz (Physical Review Letters; 1995), who introduced a framework for the use of path data of diffusing particles to infer viscoelastic properties of its fluid environment. The multi‐particle tracking techniques that were subsequently developed have presented numerous challenges for experimentalists and theoreticians. This study describes some specific challenges that await the attention of statisticians and applied probabilists. We describe relevant aspects of the physical theory, current inferential efforts and simulation aspects of a central model for the dynamics of nano‐scale particles in viscoelastic fluids, the generalized Langevin equation.

Keywords: Gaussian processes, microrheology, non‐Newtonian fluids, generalized Langevin equation, local Whittle, fractional processes, simulation, wavelets, Primary: 60G15, 82B31, 62P10, Secondary: 62M09, 42C40

Suggested Citation

Didier, Gustavo and McKinley, Scott A. and Hill, David and Fricks, John, Statistical Challenges in Microrheology (September 2012). Journal of Time Series Analysis, Vol. 33, Issue 5, pp. 724-743, 2012. Available at SSRN: https://ssrn.com/abstract=2138697 or http://dx.doi.org/10.1111/j.1467-9892.2012.00792.x

Gustavo Didier (Contact Author)

Tulane University ( email )

6823 St Charles Ave
New Orleans, LA 70118
United States

Scott A. McKinley

affiliation not provided to SSRN

No Address Available

David Hill

University of North Carolina (UNC) at Chapel Hill

102 Ridge Road
Chapel Hill, NC NC 27514
United States

John Fricks

affiliation not provided to SSRN

No Address Available

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