Single particle raster image analysis of diffusion

Longfils, Marco,1990Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg,Chalmers University of Technology, Sweden; University of Gothenburg, Sweden (author)

As a complement to the standard RICS method of analysing Raster Image Correlation Spectroscopy images with estimation of the image correlation function, we introduce the method SPRIA, Single Particle Raster Image Analysis. Here, we start by identifying individual particles and estimate the diffusion coefficient for each particle by a maximum likelihood method. Averaging over the particles gives a diffusion coefficient estimate for the whole image. In examples both with simulated and experimental data, we show that the new method gives accurate estimates. It also gives directly standard error estimates. The method should be possible to extend to study heterogeneous materials and systems of particles with varying diffusion coefficient, as demonstrated in a simple simulation example. A requirement for applying the SPRIA method is that the particle concentration is low enough so that we can identify the individual particles. We also describe a bootstrap method for estimating the standard error of standard RICS.

Schuster, E.RISE,Jordbruk och livsmedel (author)
Lorén, Niklas,1970RISE,Jordbruk och livsmedel(Swepub:ri)niklaslo@ri.se (author)
Särkkä, Aila,1962Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology,Chalmers University of Technology, Sweden; University of Gothenburg, Sweden(Swepub:cth)aila (author)
Rudemo, Mats,1937Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology,Chalmers University of Technology, Sweden; University of Gothenburg, Sweden(Swepub:cth)rudemo (author)
Göteborgs universitetInstitutionen för matematiska vetenskaper (creator_code:org_t)

By the author/editor: Longfils, Marco, ...; Schuster, E.; Lorén, Niklas, 1 ...; Särkkä, Aila, 19 ...; Rudemo, Mats, 19 ...

About the subject

NATURAL SCIENCES: NATURAL SCIENCES; and Mathematics; and Probability Theo ...

NATURAL SCIENCES: NATURAL SCIENCES; and Physical Science ...; and Other Physics To ...

By the university: University of Gothenburg; Chalmers University of Technology; RISE

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