An information-theoretic framework for optimal design: analysis of protocols for estimating soft tissue parameters in biaxial experiments

Aggarwal, A. , Lombardi, D. and Pant, S. (2021) An information-theoretic framework for optimal design: analysis of protocols for estimating soft tissue parameters in biaxial experiments. Axioms, 10(2), 79. (doi: 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 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.

• Item Type: Articles
• Additional Information: This research was funded by the 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).
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Aggarwal, Dr Ankush
• Authors: Aggarwal, A., Lombardi, D., and Pant, S.
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment
• Journal Name: Axioms
• Publisher: MDPI
• ISSN: 2075-1680
• ISSN (Online): 2075-1680
• Published Online: 01 May 2021
• Copyright Holders: Copyright © 2021 The Authors
• First Published: First published in Axioms 10(2): 79
• Publisher Policy: Reproduced under a Creative Commons License

Project Code	Award No	Project Name	Principal Investigator	Funder's Name	Funder Ref	Lead Dept
306966		Predicting cardiovascular biomechanical stiffening due to the interplay of tissue layers with focus on calcific aortic valve disease	Ankush Aggarwal	Engineering and Physical Sciences Research Council (EPSRC)	EP/P018912/2	ENG - Infrastructure & Environment