ArticlePhysical review. E, Statistical, nonlinear, and soft matter physics2013
Automatic sorting of point pattern sets using Minkowski functionals.
Article in Physical review. E, Statistical, nonlinear, and soft matter physics, 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Who cites it
5 citing papers in PubMed, 7 citations in OpenAlex.
- Fractured columnar small-world functional network organization in volumes of L2/3 of mouse auditory cortex.PNAS nexus · 2024Article
- From Chaos to Ordering: New Studies in the Shannon Entropy of 2D Patterns.Entropy (Basel, Switzerland) · 2022Review
- Characterization of Self-Assembled 2D Patterns with Voronoi Entropy.Entropy (Basel, Switzerland) · 2018Review
- InterCells: A Generic Monte-Carlo Simulation of Intercellular Interfaces Captures Nanoscale Patterning at the Immune Synapse.Frontiers in immunology · 2018Article
- Super-resolution Analysis of TCR-Dependent Signaling: Single-Molecule Localization Microscopy.Methods in molecular biology (Clifton, N.J.) · 2017Article
Corrections and comments
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Authors and funding
6 authors at 3 institutions in 2 countries.
Funding
Abstract
Point pattern sets arise in many different areas of physical, biological, and applied research, representing many random realizations of underlying pattern formation mechanisms. These pattern sets can be heterogeneous with respect to underlying spatial processes, which may not be visually distiguishable. This heterogeneity can be elucidated by looking at statistical measures of the patterns sets and using these measures to divide the pattern sets into distinct groups representing like spatial processes. We introduce here a numerical procedure for sorting point pattern sets into spatially homogenous groups using functional principal component analysis (FPCA) applied to the approximated Minkowski functionals of each pattern. We demonstrate that this procedure correctly sorts pattern sets into similar groups both when the patterns are drawn from similar processes and when the second-order characteristics of the pattern are identical. We highlight this routine for distinguishing the molecular patterning of fluorescently labeled cell membrane proteins, a subject of much interest in studies investigating complex spatial signaling patterns involved in the human immune response.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.