A Versatile Test for Clustering and a Proximity Analysis of Neurons

R.C. Grimson; R.D. Rose

doi:10.1055/s-0038-1634843

Methods of Information in Medicine, Table of Contents

Methods Inf Med 1991; 30(04): 299-303
DOI: 10.1055/s-0038-1634843

Original Article

Schattauer GmbH

A Versatile Test for Clustering and a Proximity Analysis of Neurons

Authors

R.C. Grimson

¹Department of Preventive Medicine, School of Medicine, State University of New York at Stony Brook, Stony Brook NY
R.D. Rose

²Department of Biology, Duquesne University, Pittsburgh PA, U.S.A

Abstract

Abstract:

A test for nonrandom patterns in populations of “cells” of binary attributes is formulated for applications in settings where it is impossible or impractical to completely specify the adjacency matrix, as in circumstances involving enormous numbers of cells and/or censored data. Applications are made to problems concerning spatial distributions of specially labeled cells in nervous system research.

Key-words

Clustering - Contiguities - Cell Adjacency Configurations - Neuron Patterns

Full Text

References

REFERENCES
1 Norcio R, DeSantis M. The organization of neuronal somata in the first sacral spinal ganglion of the cat. Exp Neurol 1976; 50: 264-58.
2 Arlhal A. Mise en evidence d’une somatopie au niveau du ganglion spinal chez le chat. C R Soc Biol 1968; 162: 1979-84.
3 Darian-Smith I, Mutton P, Proctor R. Functional organization of the tactile cutaneous afferents within the semilunar ganglion and trigeminal spinal tract of the cat. J Neurophysiol 1965; 28: 682-94.
4 McLachlan EM, Jänig W. The cell bodies of origin of sympathetic and sensory axons in some skin and muscle nerves of the cat hind limb. J Comp Neurol 1983; 214: 115-30.
5 Taylor DCM, Korf HW, Pierau FK. Distribution of sensory neurons of the pudendal nerve in the dorsal root ganglion and their projection to the spinal cord: Horseradish-peroxidase studies in the rat. Cell Tiss Res 1982; 226: 555-64.
6 Honig MG. The development of sensory projection patterns in embryon in chick hind limb. J Physiol 1982; 330: 175-202.
7 Pilar G, Landmasser L, Burnstein L. Competition for survival among developing ciliary ganglion cells. J Neurophysiol 1980; 43: 233-54.
8 Rose RD. Properties of cat spinal ganglion neurons innervating identified peripheral receptors. (Ph.D. Diss). State Univ. of New York at Stony Brook; 1986
9 Cliff AD, Ord JK. Spatial Processes: Models and Applications. London: Pion Limited; 1981
10 Grimson RC, Wang KC, Johnson WC. Searching for hierarchical clusters of sudden infant death syndrome. Social Science in Medicine 1981; 15D: 287-93.
11 Sen A. Large sample-size distribution of statistics used in testing for spatial correlation. Geographical Analysis 1976; 08: 175-84.
12 Alt KW, Vach W. The reconstruction of “genetic kinship” in prehistoric burial complexes - Problems and statistics. In: Classification, Data Analysis and Knowledge Organization. Bock HH, Ihm P. eds. Proc. 14th Annual Conference of the Gesellschaft f£ir Klassifikation, 1990, Marburg/FRG. Heidelberg-Berlin: Springer-Verlag; 1991
13 MacQueen JB. Non-parametric analysis of variation for metric space data. The IMS Bulletin 1989; Vol. 18. No. 2: 212-6.
14 David FN, Barton DE. Two space-time tests for epidemicity. Brit J Prev Soc Med 1966; 20: 44-8.
15 Moran PAP. The interpretation of statistical maps. J Royal Statist Soc 1948; B10: 243-51.
16 Rose RD, Rohrlich D. Counting sectional cells via mathematical reconstruction. J Comp Neurol 1988; 272e: 365-86.
17 Krishna PVIyer. The first and second moments of some probability distributions arising from points on a lattice and their application. Biometrika 1949; 36: 135-41.