Statistical evaluation of dendritic growth models |
| |
Authors: | Alicia L Carriquiry William P Ireland Wolfgang Kliemann Etsuro Uemura |
| |
Institution: | (1) Department of Statistics, Iowa State University, 50011 Ames, IA, U.S.A.;(2) Atlantic Veterinary College, University of Prince Edward Island, C1A 4P3 Charlottetown, Prince Edward Island, Canada;(3) Department of Mathematics, Iowa State University, 50011 Ames, IA, U.S.A.;(4) Department of Anatomy College of Veterinary Medicine, Iowa State University, 50011 Ames, IA, U.S.A. |
| |
Abstract: | A mathematical model (Kliemann, W. 1987.Bull. math. Biol.
49, 135–152.) that predicts the quantitative branching pattern of dendritic tree was evaluated using the apical and basal dendrites
of rat hippocampal neurons. The Wald statistics for χ2-test was developed for the branching pattern of dendritic trees and for the distribution of the maximal order of the tree.
Using this statistic, we obtained a reasonable, but not excellent, fit of the mathematical model for the dendritic data. The
model's predictability of branching patterns was greatly enhanced by replacing one of the assumptions used for the original
model “splitting of branches for all dendritic orders is stochastically independent”, with a new assumption “branches are
more likely to split in areas where there is already a high density of branches”. The modified model delivered an excellent
fit for basal dendrites and for the apical dendrites of hippocampal neurons from young rats (30–34 days postpartum). This
indicates that for these cells the development of dendritic patterns is the result of a purely random and a systematic component,
where the latter one depends on the density of dendritic branches in the brain area considered. For apical dendrites there
is a trend towards decreasing pattern predictability with increasing age. This appears to reflect the late arrival of afferents
and subsequent synaptogenesis proximal on the apical dendritic tree of hippocampal neurons. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|