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2012 Proceedings - International Tissue Elasticity Conference

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043 ROLE AND OPTIMISATION OF THE INDENTER SIZE FOR QUANTITATIVE<br />

POROELASTOGRAPHY.<br />

Jérémie Fromageau 1 , Nigel Bush 1 , Jeffrey C. Bamber 1 .<br />

1 The Institute of Cancer Research and Royal Marsden Hospital, 15 Cotswold Road, Sutton,<br />

Surrey, England, UK.<br />

Background: It is known that subjecting a poroelastic object that has free and permeable boundaries to a<br />

sustained unidirectional compression results in a 3D internal volumetric strain that varies with position<br />

and time, which can be used to estimate tissue properties such as permeability, related to interstitial<br />

pressure and the capacity of fluid to diffuse through the elastic porous matrix. Experimentally, it is<br />

desirable to apply a uniform compression, but this has the drawback that the response is dependent on<br />

the size of the poroelastic object, and this is unknown in vivo.<br />

Aims: In this study we investigated a technique to solve this problem by applying the compression with<br />

an indenter on a very limited surface of the tissue (much smaller than the size of the object), which<br />

produces a spatially-limited region of fluid motion and to determine the optimum indenter size for which<br />

the effect of sample size become negligible.<br />

Methods: Simulations using MARC Mentat (MSC Software) were used to study the spatio–temporal<br />

dependence of volumetric strain from cylindrical samples compressed with an indenter of size varying from<br />

0mm to the sample diameter. The results were quantified in terms of relaxation time and compared with<br />

those from experiments using agarose ultrasound–scattering phantoms with similar geometry and<br />

boundary conditions. Experimental observations were made with an ultrasound scanner (DIASUS, Dynamic<br />

Imaging), using a 3D 7MHz probe. The probe was connected to a test instrument (Instron 3342), permitting<br />

control of its displacement and recording of the applied pressure for the duration of the experiment. For the<br />

uniform compression, the probe itself was used as the compressor. The volumetric strain in the phantom<br />

was estimated from the radiofrequency (RF) echo signals using a 2×2D cross–correlation elastography<br />

method.<br />

Results:<br />

90<br />

Volumetric compression x 10 3<br />

(a) (b)<br />

Time (s)<br />

Figure 1: Simulated volumetric strain relaxations at the centre of a reference cylindrical poroelastic<br />

sample. (a) For a uniform compression applied on the reference cylinder (dot line), a cylinder of<br />

double diameter (dashed line) and a cylinder of same reference size but lower permeability<br />

(solid line). Changes of either scale or permeability lead to an increase of the relaxation time,<br />

and it can be challenging to discriminate the two effects. (b) For an indentation compression,<br />

the relaxation time to depend only on the permeability (same coding).<br />

Conclusions: The results showed that when compressing with a small indenter, the strain relaxation rate<br />

depends only on permeability, unlike the uniform compression where it also depends on the size of the<br />

object. It should therefore be possible to use the technique for a reliable quantitative characterization.<br />

The time constant for strain relaxation is also much shorter than for the uniform compression<br />

experiment, making it more suitable for clinical implementation.<br />

Acknowledgements: This work was supported by grants from EPSRC (EP/E030505/1).<br />

Volumetric compression x 10 3<br />

Time (s)<br />

indicates Presenter

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