Abstract

Image correlation spectroscopy (ICS) is known to be a useful tool for the evaluation of fiber width in the extracellular matrix. Here we evaluate a more general from of ICS fit parameters for fiber networks and arrive at a means of quantifying the fiber density, pore size and length which facilitates the characterization of the extracellular matrix. A simulation package was made to create images with different structural properties of fiber networks such as fiber orientation, width, fiber density and length. A pore finding algorithm was developed which determines the distribution of circular voids in the image. Collagen I hydrogels were prepared under different polymerization conditions for validation of our pore size algorithm with microscopy data. ICS parameters included amplitude, standard deviation and ellipticity and are shown to predict the structural properties of fiber networks in a quantitative manner. While the fiber width is related to the ICS sigma; the fiber density relates to the pore size distribution which correlates with the ICS amplitude in thresholded images. Fiber length is related to ICS ellipticity if the fibers have a preferred orientation. Findings from ICS and pore distribution algorithms were verified for both simulated and microscopy data. Based on these findings, we conclude that ICS can be used in the assessment of the extracellular matrix and the prediction of fiber orientation, width, density, length and matrix pore size.

Highlights

  • Correlation spectroscopy uses autocorrelation to detect the likelihood of repetitions in a signal at a certain lag

  • With the results on simulated images we have demonstrated how our image correlation spectroscopy (ICS) parameters correlate with the structural properties of virtual fiber networks

  • The fiber length is a major structural parameter and we found a strong dependence of fiber length on ellipticity when fibers tend to align in a particular direction

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Summary

Introduction

Correlation spectroscopy uses autocorrelation to detect the likelihood of repetitions in a signal at a certain lag. In the case of two dimensional and spatially resolved data, this technique is called image correlation spectroscopy (ICS) [1,2] and has been used in numerous applications such as the estimation of fluorescent particle diffusion [3,4], degree of aggregation of plasma proteins [5] and the characterization of the extracellular matrix by analyzing the collagen fiber network. Raub et al [6,7] linked parameters from ICS analysis of multi-photon microscopy images with the bulk mechanical properties of collagen hydrogels. In ICS, once the autocorrelation function has been calculated, it is fitted to a suitable function to obtain a set of parameters. With the help of simulated data, we establish a relationship between the fit parameters and the fiber properties

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