Angular-Ripleys-K

Angular-Ripleys-K applies Ripley's K-function–based statistical analysis to quantify fibrous spatial point patterns derived from single-molecule localization microscopy (SMLM) data.

Key Features:

• Statistical Framework: Applies Ripley's K-function to 2D SMLM localization coordinates interpreted as pointillist representations of underlying fibrous structures.
• Theoretical Foundation: Incorporates theoretical models describing spatial arrangements of fibers and uses simulated data to extract and quantify these descriptions from SMLM datasets.
• Experimental Application: Processes experimental datasets acquired with image reconstruction by integrating exchangeable single-molecule localization (IRIS) to characterize fibrous structures such as the actin meshwork at the T cell immunological synapse.
• Implementation: Implemented in MATLAB.

Scientific Applications:

• Fibrous actin meshwork analysis: Quantitative characterization of the fibrous actin meshwork at the T cell immunological synapse to study structural correlates of T cell activation.
• Cytoskeleton and extracellular matrix analysis: Analysis of cytoskeletal elements and extracellular matrix fibers from SMLM datasets to assess fiber organization.
• Spatial organization studies: Investigation of fiber arrangements and spatial relationships in cell biology and immunology using point-pattern statistics.

Methodology:

Computes Ripley's K-function on 2D SMLM localization coordinates interpreted as pointillist representations of fibers; employs theoretical fiber-arrangement models validated with simulated data; applies the method to IRIS-acquired experimental SMLM datasets; implemented in MATLAB.