Link-Vertex Analysis of Purkinje cell dendritic trees from the murine cerebellum

Brain Research
M Sadler, M Berry

Abstract

A method of analysis of dendritic trees is described, called Link-Vertex Analysis, which defines the branching patterns (topology) by means of a discontinuous function, the terminal/link (T/L) vertex ratio, computed at all successive vertex orders within a network, and represented as a graphical plot for a given tree. The T/L vertex ratio is defined as the number (n) of terminal (pendant) vertices (Vp) divided by the total number (n) of all link vertices (both dichotomous, Vd, and trichotomous, Vt) multiplied by the number of segments arising from each vertex--i.e., nVp/(2nVd + 3nVt) per vertex order. Hypotheses of growth are simulated by computer modelling and the distributions of computer generated T/L vertex ratios per order compared with those of actual dendritic trees. The differential distribution of T/L vertex ratios per order in trees grown by either random terminal or random segmental branching discriminates between these two forms of growth. Significant advances of this method include the detection of regional variations in growth and remodelling in a tree and the incorporation of Vt with little perturbation of the Vd data. The analytical powers of this method have been tested using the dendritic fields of 20-day-old ...Continue Reading

References

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Citations

Jan 1, 1993·Journal of Neuroscience Research·E A NealeT G Smith
Sep 12, 2002·Network : Computation in Neural Systems·Harry B M Uylings, Jaap van Pelt
Dec 1, 1990·Alcoholism, Clinical and Experimental Research·R J Pentney, L J Quackenbush
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Jan 8, 1994·Health Policy·P Howden-Chapman
Jan 1, 1993·Surgical Oncology·D ReintgenR A Clark
Jun 1, 1993·Baillière's Clinical Rheumatology·R Fitzpatrick
Feb 11, 2009·Critical Reviews in Toxicology·Anne KorpiAnna-Liisa Pasanen
Dec 31, 2004·American Journal of Physical Medicine & Rehabilitation·Gavin WilliamsKen Greenwood
Dec 18, 1995·The Journal of Comparative Neurology·A E DityatevH P Clamann

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