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神经元形态的数学模型:人类齿状核的产前发育

Mathematical model of neuronal morphology: prenatal development of the human dentate nucleus.

作者信息

Rajković Katarina, Bačić Goran, Ristanović Dušan, Milošević Nebojša T

机构信息

Laboratory for Image Analysis, Medical Faculty, University of Belgrade, Serbia.

Faculty of Physical Chemistry, University of Belgrade, Serbia.

出版信息

Biomed Res Int. 2014;2014:812351. doi: 10.1155/2014/812351. Epub 2014 Jun 5.

DOI:10.1155/2014/812351
PMID:24995329
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC4068039/
Abstract

The aim of the study was to quantify the morphological changes of the human dentate nucleus during prenatal development using mathematical models that take into account main morphometric parameters. The camera lucida drawings of Golgi impregnated neurons taken from human fetuses of gestational ages ranging from 14 to 41 weeks were analyzed. Four morphometric parameters, the size of the neuron, the dendritic complexity, maximum dendritic density, and the position of maximum density, were obtained using the modified Scholl method and fractal analysis. Their increase during the entire prenatal development can be adequately fitted with a simple exponential. The three parameters describing the evolution of branching complexity of the dendritic arbor positively correlated with the increase of the size of neurons, but with different rate constants, showing that the complex development of the dendritic arbor is complete during the prenatal period. The findings of the present study are in accordance with previous crude qualitative data on prenatal development of the human dentate nucleus, but provide much greater amount of fine details. The mathematical model developed here provides a sound foundation enabling further studies on natal development or analyzing neurological disorders during prenatal development.

摘要

本研究的目的是使用考虑主要形态计量学参数的数学模型,量化人类齿状核在产前发育过程中的形态变化。分析了取自孕龄为14至41周的人类胎儿的高尔基染色神经元的明箱绘图。使用改良的肖尔方法和分形分析获得了四个形态计量学参数,即神经元大小、树突复杂性、最大树突密度和最大密度位置。它们在整个产前发育过程中的增加可以用一个简单的指数函数充分拟合。描述树突分支复杂性演变的三个参数与神经元大小的增加呈正相关,但速率常数不同,表明树突分支的复杂发育在产前阶段就已完成。本研究的结果与先前关于人类齿状核产前发育的粗略定性数据一致,但提供了更多的精细细节。这里开发的数学模型为进一步研究出生后发育或分析产前发育期间的神经障碍提供了坚实的基础。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/76a0/4068039/13cbcc35d094/BMRI2014-812351.004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/76a0/4068039/42c62f0fd076/BMRI2014-812351.001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/76a0/4068039/1c5dbf09ddd3/BMRI2014-812351.002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/76a0/4068039/acc4490299f0/BMRI2014-812351.003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/76a0/4068039/13cbcc35d094/BMRI2014-812351.004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/76a0/4068039/42c62f0fd076/BMRI2014-812351.001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/76a0/4068039/1c5dbf09ddd3/BMRI2014-812351.002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/76a0/4068039/acc4490299f0/BMRI2014-812351.003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/76a0/4068039/13cbcc35d094/BMRI2014-812351.004.jpg

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