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. Author manuscript; available in PMC: 2016 Dec 1.
Published in final edited form as: Ann Biomed Eng. 2015 Jun 16;43(12):2991–3003. doi: 10.1007/s10439-015-1356-x

TABLE 2.

Local strains predicted by the FEA and from ultrasound elastography (US) for the last three steps of applied compression on the top of the three-layered gel construct.

Strain top 8% gel
Strain middle 4% gel
Strain bottom 8% gel
Comp. (μm) FEA US % FEA US % FEA US %
80 0.00551 0.00686 ± 0.00118 19.6 0.01483 0.01225 ± 0.00185 –21.0 0.00596 0.00620 ± 0.00174 3.87
120 0.00815 0.00911 ± 0.00133 10.5 0.02237 0.01995 ± 0.00243 –12.1 0.00868 0.00853 ± 0.00197 –1.75
160 0.01086 0.01100 ± 0.00145 1.27 0.03003 0.02806 ± 0.00284 –7.02 0.01149 0.01063 ± 0.00203 –8.09
160 0.01086 0.0109 0.367 0.03003 0.02792 –7.56 0.01149 0.0105 –9.42

Each 40 μm compression increment translates to a global strain of 0.44%. The first step is not shown. Local strains in rows two though four were computed under the assumption the SOS was constant in the gels, which is a common assumption in elastography. In the last row, the predicted strain is corrected for the decrease in SOS with compression. For these hydrogels, the effect of compression-dependent SOS on the strains is small. Percent differences in strain between two methods, FEA and US, were, on average, lowest for the largest, 160 μm, compression step. The percent difference was calculated using (US¯FEA)US¯×100%, where US¯ was the mean of the strains computed from ultrasound elastography.