2006
DOI: 10.4319/lom.2006.4.382
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The use of radial distribution and pair-correlation functions to analyze and describe biological aggregations

Abstract: Patterns are pervasive in nature with many examples being found in both living and inanimate systems. While researchers recognize the importance of the behavior of individuals to the structure and shape of an aggregation, a major hurdle in describing aggregated organisms has been the difficulty of tracking the movement of individuals over time. Here we present an innovative application of an analytical technique derived from statistical mechanics (a subfield of physics) to describe the spatial distribution of … Show more

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Cited by 9 publications
(3 citation statements)
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“…The spatial distribution pattern of objects in the system is reflected in different g(R) characteristic patterns. RDF has been used in several systems (i) analysis of the structure pattern synthetic materials; 41,42 (ii) spatial distribution of particles and cells in biology; 43,44 (iii) analysis of reinforcing particles distribution in composites. 45,46 All g(R) patterns had the common features of rising monotonically from zero at the origin and decaying to unity at a large distance.…”
Section: ■ Results and Discussionmentioning
confidence: 99%
“…The spatial distribution pattern of objects in the system is reflected in different g(R) characteristic patterns. RDF has been used in several systems (i) analysis of the structure pattern synthetic materials; 41,42 (ii) spatial distribution of particles and cells in biology; 43,44 (iii) analysis of reinforcing particles distribution in composites. 45,46 All g(R) patterns had the common features of rising monotonically from zero at the origin and decaying to unity at a large distance.…”
Section: ■ Results and Discussionmentioning
confidence: 99%
“…3A). To quantitatively capture the impact of stroma on the proliferation of tumor cells, we used the radial distribution function (RDF), g(r), often used in the field of spatial ecology (24)(25)(26). RDF compares the average density of observed BrdU+/-tumor cells against randomly distributed BrdU+/-across different length scales from each of the stromal pixels.…”
Section: Cafs Stimulate the Proliferation Of Tnbc Cells But Provide N...mentioning
confidence: 99%
“…Based on Fig. 4-11, the RDF is calculated according to equation (4.1) or equivalently (4.2), where dn(r) is the number of particles at a distance between r and r dr, is the a erage particle surface densit / , is the total number of the particles in the entire area of interest), and g(r) is the RDF [86,87].…”
Section: Distribution Of Polystyrene Nanobeads On Surfacesmentioning
confidence: 99%