Full field strain measurements of collagenous tissue by tracking fiber alignment through vector correlation.

Abstract

Full field strain measurements of biological tissue during loading are often limited to the quantification of fiduciary marker displacements on the tissue surface. These marker measurements can lack the necessary spatial resolution to characterize non-uniform deformation and may not represent the deformation of the load-bearing collagen microstructure. To overcome these potential limitations, a method was developed to track the deformation of the collagen fiber microstructure in ligament tissue. Using quantitative polarized light imaging, fiber alignment maps incorporating both direction and alignment strength at each pixel were generated during facet capsular ligament loading. A grid of virtual markers was superimposed over the tissue in the alignment maps, and the maximization of a vector correlation calculation between fiber alignment maps was used to track marker displacement. Tracking error was quantified through comparisons to the displacements of excised ligament tissue (n=3); separate studies applied uniaxial tension to isolated facet capsular ligament tissue (n=4) to evaluate tracking capabilities during large tissue deformations. The average difference between virtual marker and tissue displacements was 0.07+/-0.06pixels. This error in marker location produced principal strain measurements of 1.2+/-1.6% when markers were spaced 4pixels apart. During tensile tissue loading, substantial inhomogeneity was detected in the strain field using vector correlation tracking, and the location of maximum strain differed from that produced by standard tracking techniques using coarser meshes. These findings provide a method to directly measure fiber network strains using quantitative fiber alignment data, enabling a better understanding of structure-function relationships in tissues at different length scales.