Double Cox cluster processes - with applications to photoactivated localization microscopy

Ina Trolle Andersen, Ute Hahn, Eva C. Arnspang, Lene Niemann Nejsum, Eva B. Vedel Jensen

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

Photoactivated localization microscopy (PALM) is an ingenious super-resolution imaging technique that produces 2D point patterns of proteins. Individual proteins may appear as small artificial clusters of points, due to multiple blinking of individual fluorophores. The proteins may also cluster together, and in such cases a pertinent model for a PALM point pattern describes clustering at two different scales. Despite the importance of the imaging technique, statistical methods for analysingPALM data have remained relatively under-studied. In the present paper, we develop a model-based framework for analysis of PALM data. We focus on a subclass of independent cluster processes, denoted double Cox cluster processes (DCCPs), for which both the parent process (of proteins) and the observed process are Cox cluster processes. Parametric models for DCCPs with a Neyman–Scott process as parent process are developed together with statistical inference procedures, based on moment methods. To illustrate the proposed methodology, we analyse a data set from a PALM acquisition. In contrast to earlier model-free methods, the analysis provides information, directly relating to the performance of the proteins. The paper also represents an independent contribution to point process theory.
Original languageEnglish
JournalSpatial Statistics
Volume27
Pages (from-to)58-73
ISSN2211-6753
DOIs
Publication statusPublished - 1. Oct 2018
Externally publishedYes

Fingerprint

Microscopy
microscopy
Microscopic examination
Proteins
protein
Protein
Imaging techniques
Information analysis
Fluorophores
Method of moments
Imaging
Statistical methods
Moment Method
Super-resolution
Point Process
Parametric Model
Statistical Inference
Statistical method
methodology
Clustering

Keywords

  • Double Cox cluster process
  • Independent clustering
  • Moment-based inference
  • Photoactivated localization microscopy
  • Point process

Cite this

Andersen, Ina Trolle ; Hahn, Ute ; Arnspang, Eva C. ; Nejsum, Lene Niemann ; Jensen, Eva B. Vedel. / Double Cox cluster processes - with applications to photoactivated localization microscopy. In: Spatial Statistics. 2018 ; Vol. 27. pp. 58-73.
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Double Cox cluster processes - with applications to photoactivated localization microscopy. / Andersen, Ina Trolle; Hahn, Ute ; Arnspang, Eva C.; Nejsum, Lene Niemann; Jensen, Eva B. Vedel.

In: Spatial Statistics, Vol. 27, 01.10.2018, p. 58-73.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Double Cox cluster processes - with applications to photoactivated localization microscopy

AU - Andersen, Ina Trolle

AU - Hahn, Ute

AU - Arnspang, Eva C.

AU - Nejsum, Lene Niemann

AU - Jensen, Eva B. Vedel

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