Fortran and shell-level programs originally designed for the analysis of quasi-helical trajectories of Toxoplasma gondii through Matrigel media, acquired by 3D microscopy and digitized by Imaris tracking sw, as published in [TBA]. Key sw components include a singular-value-decomposition (SVD) approach to fitting a modified Fourier series to noisy 3D coordinates measured at irregular time intervals (incorporating cross-validation for determining optimum Fourier order); correction for distortions arising from media shift, shrinkage/expansion; analytically-derived instantaneous velocity, curvature and twist/torsion parameters calculated at regularly-sampled spatial intervals along the Fourier-smoothed trajectory; facilities for direct visualization and analysis of the raw and Fourier-fit trajectories, and their derived parameters, via interface with molecular graphics software (eg, PyMol.)
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