Conference ProceedingA chi-square type test for time-invariant fiber pathways of the brain: HARDI extensionGoo, Juna; Sakhanenko, Lyudmila; Goo, Juna; Sakhanenko, LyudmilaIntegral curve estimation is a well-established method for reconstructing in vivo nerve fiber pathways in thewhite matter of the brain. Using longitudinal high angular resolution diffusion imaging (HARDI) data, weformulate the longitudinal ensemble of fiber trajectories as an integral curve with the parameter time. The goalof this article is to develop a test statistic to determine whether there are anatomically plausible changes innerve fibers with two directions, such as crossing, kissing, or bending fibers. We envision that rejecting thenull hypothesis could help identify a potential anatomical biomarker for neurodegenerative diseases, such asAlzheimer’s disease.Zenodo2024-01-0110632673https://doi.org/10.5281/zenodo.138922412111251StatisticsFOS: Mathematicskernel smoothingintegral curvediffusion-weighted magnetic resonance imagingCreative Commons Attribution 4.0 InternationalNational Science Foundation