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The Ogden model is often considered as a standard model in the literature forapplication to the deformation of brain tissue. Here we show that, in some ofthose applications, the use of the Ogden model leads to non-convexity of thestrain-energy function and mis-prediction of the correct concavity of theexperimental stress-stretch curves over a range of the deformation domain. Bycontrast, we propose a family of models which provides a favourable fit to theconsidered datasets while remaining free from the highlighted shortcomings ofthe Ogden model. While, as we discuss, those shortcomings might be due to theartefacts of the testing protocols, the proposed family of models provesimpervious to such artefacts.

Modelling brain tissue elasticity with the Ogden model and an alternative family of constitutive models