Estimation of bivariate probability distributions of nanoparticle characteristics, based on univariate measurements

Furat O, Frank U, Weber M, Wawra S, Peukert W, Schmidt V (2020)

Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2020

Journal

Inverse Problems in Science and Engineering Taylor & Francis: STM, Behavioural Science and Public Health Titles / Taylor & Francis

Publisher: Taylor and Francis Ltd.

DOI: 10.1080/17415977.2020.1849181

Abstract

The properties of complex particle systems typically depend on multivariate distributions of particle properties, like size and shape characteristics. Multidimensional particle property distributions can be a powerful tool to describe these systems. However, only few techniques exist which are able to simultaneously measure more than one property of individual particles in fast and efficient ways. It is shown how two-dimensional property spaces can be constructed by the combination of two univariate measurements to obtain bivariate particle size distributions. The proposed method is a general approach, which can be applied to a wide spectrum of particle systems and measurement devices. In this paper, the results of a case study are presented, which allow the estimation of bivariate distributions of length and diameter of nanorods, solely using univariate distributions of their particle mass and extinction-weighted sedimentation coefficient distributions. These quantities contain joint information about the particle lengths and diameters, which is used for the reconstruction. The method is validated in a simulation study in which the bivariate distribution to be reconstructed and the reconstruction parameters are varied. In addition, regularization techniques are introduced to reduce methodical errors. This approach can be transferred to other particle systems and measurement techniques, for which functional relationships between particle properties and measured quantities are well described.

Authors with CRIS profile

Uwe Frank Lehrstuhl für Feststoff- und Grenzflächenverfahrenstechnik Simon Wawra Lehrstuhl für Feststoff- und Grenzflächenverfahrenstechnik Wolfgang Peukert Lehrstuhl für Feststoff- und Grenzflächenverfahrenstechnik

Involved external institutions

Universität Ulm DE Germany (DE)

How to cite

APA:

Furat, O., Frank, U., Weber, M., Wawra, S., Peukert, W., & Schmidt, V. (2020). Estimation of bivariate probability distributions of nanoparticle characteristics, based on univariate measurements. Inverse Problems in Science and Engineering. https://dx.doi.org/10.1080/17415977.2020.1849181

MLA:

Furat, Orkun, et al. "Estimation of bivariate probability distributions of nanoparticle characteristics, based on univariate measurements." Inverse Problems in Science and Engineering (2020).

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