The intervals method a new approach to analyse finite element outputs using multivariate statistics

https://doi.org/10.7717/peerj.3793

Abstract

Background In this paper, we propose a new method, named the intervals’ method, to analyse data from finite element models in a comparative multivariate framework. As a case study, several armadillo mandibles are analysed, showing that the proposed method is useful to distinguish and characterise biomechanical differences related to diet/ecomorphology. Methods The intervals’ method consists of generating a set of variables, each one defined by an interval of stress values. Each variable is expressed as a percentage of the area of the mandible occupied by those stress values. Afterwards these newly generated variables can be analysed using multivariate methods.Results Applying this novel method to the biological case study of whether armadillo mandibles differ according to dietary groups, we show that the intervals’ method is a powerful tool to characterize biomechanical performance and how this relates to different diets. This allows us to positively discriminate between specialist and generalist species. Discussion We show that the proposed approach is a useful methodology not affected by the characteristics of the finite element mesh. Additionally, the positive discriminating results obtained when analysing a difficult case study suggest that the proposed method could be a very useful tool for comparative studies in finite element analysis using multivariate statistical approaches.

Publication
In PeerJ 5,e3793 (2017)
Thomas A. Püschel
Thomas A. Püschel
Postdoctoral researcher

I am a palaeoprimatologist and vertebrate palaeobiologist mainly focused on primate and mammalian evolution. My main interest is to study organismal evolution by reconstructing and comparing the palaeobiology of fossils to their living ecological relatives. In order to do this, I apply a combination of predictive modelling, 3D morphometrics, virtual biomechanical techniques, computational simulations, phylogenetic comparative methods, and fieldwork. I have recently joined the Venditti group, University of Reading, within the framework of the Leverhulme project ‘The evolutionary and biogeographical routes to hominin diversity’. I am also a research affiliate at the Institute of Human Sciences, University of Oxford, where I work together with the Paleo-Primate Project Gorongosa, Mozambique.

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