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An Information-Theoretic Framework for Optimal Design: Analysis of Protocols for Estimating Soft Tissue Parameters in Biaxial Experiments

Ankush Aggarwal Orcid Logo, Damiano Lombardi, Sanjay Pant Orcid Logo

Axioms, Volume: 10, Issue: 2, Start page: 79

Swansea University Authors: Ankush Aggarwal Orcid Logo, Sanjay Pant Orcid Logo

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DOI (Published version): 10.3390/axioms10020079

Abstract

A new framework for optimal design based on the information-theoretic measures of mutual information, conditional mutual information and their combination is proposed. The framework is tested on the analysis of protocols—a combination of angles along which strain measurements can be acquired—in a bi...

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Published in: Axioms
ISSN: 2075-1680
Published: MDPI AG 2021
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa56721
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Abstract: A new framework for optimal design based on the information-theoretic measures of mutual information, conditional mutual information and their combination is proposed. The framework is tested on the analysis of protocols—a combination of angles along which strain measurements can be acquired—in a biaxial experiment of soft tissues for the estimation of hyperelastic constitutive model parameters. The proposed framework considers the information gain about the parameters from the experiment as the key criterion to be maximised, which can be directly used for optimal design. Information gain is computed through k-nearest neighbour algorithms applied to the joint samples of the parameters and measurements produced by the forward and observation models. For biaxial experiments, the results show that low angles have a relatively low information content compared to high angles. The results also show that a smaller number of angles with suitably chosen combinations can result in higher information gains when compared to a larger number of angles which are poorly combined. Finally, it is shown that the proposed framework is consistent with classical approaches, particularly D-optimal design.
Keywords: optimal design; soft tissue mechanics; mutual information; biaxial experiment; inverse problems; information theory
College: College of Engineering
Funders: Engineering and Physical Sciences Research Council of the UK (Grant reference EP/R010811/1 to SP and grant reference EP/P018912/1 and EP/P018912/2 to AA).
Issue: 2
Start Page: 79