MRI measurement of three-dimensional morphological features of axons

We present an analytical framework to measure the nonparametric joint radius-length (R-L) distribution of an ensemble of finite cylindrical pores, and more generally, the eccentricity distribution of anisotropic pores. Employing a 3-D d-PFG acquisition scheme, we first obtain both the marginal radius and length distributions, and then use these to constrain and stabilize the estimate of the joint radius-length distribution, using a feasible number of acquisitions. Axons are known to exhibit local compartment eccentricity variations upon injury; the extent of the variations depends on the severity of the injury. Reconstructing the eccentricity distribution may provide information about changes resulting from injury or development.

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