Fast simultaneous estimation of nD transport coefficients and source function in perturbation experiments

In the calculation of transport coefficients from experimental data precise knowledge of the source is usually assumed, while the identification of the coefficients focuses on specific geometries and one spatial variable. This paper presents a method for the simultaneous estimation of both the distr...

Descripción completa

Detalles Bibliográficos
Autores principales: van Kampen, Ricky, de Vries, Jelle, Weiland, Siep, de Baar, Marco, van Berkel, Matthijs
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9958020/
https://www.ncbi.nlm.nih.gov/pubmed/36828895
http://dx.doi.org/10.1038/s41598-023-30337-0
_version_ 1784894935954096128
author van Kampen, Ricky
de Vries, Jelle
Weiland, Siep
de Baar, Marco
van Berkel, Matthijs
author_facet van Kampen, Ricky
de Vries, Jelle
Weiland, Siep
de Baar, Marco
van Berkel, Matthijs
author_sort van Kampen, Ricky
collection PubMed
description In the calculation of transport coefficients from experimental data precise knowledge of the source is usually assumed, while the identification of the coefficients focuses on specific geometries and one spatial variable. This paper presents a method for the simultaneous estimation of both the distributions of transport coefficients as well as the source profile. A convex solution of the inverse problem is retained which makes the calculations highly computational efficient. Moreover, this allows for the estimation of multi-dimensional transport coefficients, source terms, and in the future the analysis of the effect of regularization on experimental data and transport coefficient distributions.
format Online
Article
Text
id pubmed-9958020
institution National Center for Biotechnology Information
language English
publishDate 2023
publisher Nature Publishing Group UK
record_format MEDLINE/PubMed
spelling pubmed-99580202023-02-26 Fast simultaneous estimation of nD transport coefficients and source function in perturbation experiments van Kampen, Ricky de Vries, Jelle Weiland, Siep de Baar, Marco van Berkel, Matthijs Sci Rep Article In the calculation of transport coefficients from experimental data precise knowledge of the source is usually assumed, while the identification of the coefficients focuses on specific geometries and one spatial variable. This paper presents a method for the simultaneous estimation of both the distributions of transport coefficients as well as the source profile. A convex solution of the inverse problem is retained which makes the calculations highly computational efficient. Moreover, this allows for the estimation of multi-dimensional transport coefficients, source terms, and in the future the analysis of the effect of regularization on experimental data and transport coefficient distributions. Nature Publishing Group UK 2023-02-24 /pmc/articles/PMC9958020/ /pubmed/36828895 http://dx.doi.org/10.1038/s41598-023-30337-0 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
van Kampen, Ricky
de Vries, Jelle
Weiland, Siep
de Baar, Marco
van Berkel, Matthijs
Fast simultaneous estimation of nD transport coefficients and source function in perturbation experiments
title Fast simultaneous estimation of nD transport coefficients and source function in perturbation experiments
title_full Fast simultaneous estimation of nD transport coefficients and source function in perturbation experiments
title_fullStr Fast simultaneous estimation of nD transport coefficients and source function in perturbation experiments
title_full_unstemmed Fast simultaneous estimation of nD transport coefficients and source function in perturbation experiments
title_short Fast simultaneous estimation of nD transport coefficients and source function in perturbation experiments
title_sort fast simultaneous estimation of nd transport coefficients and source function in perturbation experiments
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9958020/
https://www.ncbi.nlm.nih.gov/pubmed/36828895
http://dx.doi.org/10.1038/s41598-023-30337-0
work_keys_str_mv AT vankampenricky fastsimultaneousestimationofndtransportcoefficientsandsourcefunctioninperturbationexperiments
AT devriesjelle fastsimultaneousestimationofndtransportcoefficientsandsourcefunctioninperturbationexperiments
AT weilandsiep fastsimultaneousestimationofndtransportcoefficientsandsourcefunctioninperturbationexperiments
AT debaarmarco fastsimultaneousestimationofndtransportcoefficientsandsourcefunctioninperturbationexperiments
AT vanberkelmatthijs fastsimultaneousestimationofndtransportcoefficientsandsourcefunctioninperturbationexperiments

Ejemplares similares