Quantifying spatial structure in experimental observations and agent-based simulations using pair-correlation functions

Binder, Benjamin J. & Simpson, Matthew (2013) Quantifying spatial structure in experimental observations and agent-based simulations using pair-correlation functions. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 88(2), pp. 1-10.

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We define a pair-correlation function that can be used to characterize spatiotemporal patterning in experimental images and snapshots from discrete simulations. Unlike previous pair-correlation functions, the pair-correlation functions developed here depend on the location and size of objects. The pair-correlation function can be used to indicate complete spatial randomness, aggregation or segregation over a range of length scales, and quantifies spatial structures such as the shape, size and distribution of clusters. Comparing pair-correlation data for various experimental and simulation images illustrates their potential use as a summary statistic for calibrating discrete models of various physical processes.

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14 citations in Scopus
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12 citations in Web of Science®

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123 since deposited on 30 Jul 2013
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ID Code: 61577
Item Type: Journal Article
Refereed: Yes
Keywords: cell migration, cell proliferation, cell aggregation, image analysis , mathematical modelling
DOI: 10.1103/PhysRevE.88.022705
ISSN: 1550-2376
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > APPLIED MATHEMATICS (010200) > Biological Mathematics (010202)
Divisions: Current > Institutes > Institute of Health and Biomedical Innovation
Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2013 American Physical Society
Deposited On: 30 Jul 2013 22:06
Last Modified: 10 Apr 2014 13:07

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