A Topological Representation of Branching Neuronal Morphologies.

A Topological Representation of Branching Neuronal Morphologies.
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DOI:
10.1007/s12021-017-9341-1
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发表时间:
2018-01
期刊:
影响因子:
3
通讯作者:
Markram H
Markram H
中科院分区:
医学4区
文献类型:
--
作者:
Kanari L;Dłotko P;Scolamiero M;Levi R;Shillcock J;Hess K;Markram H

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许多生物系统由分支结构组成,这些分支结构表现出各种各样的形状。我们对它们的系统作用的理解从一开始就受到阻碍,因为缺乏一种基本的方法来标准化描述复杂的分支模式,比如神经元树的分支模式。为了解决这个问题,我们发明了拓扑形态描述符(TMD),一种将任何树的空间结构编码为“条形码”的方法,一种独特的拓扑特征。与传统的形态计量学相反,TMD通过跟踪分支在三维空间中的拓扑演变,将分支的拓扑与其空间范围相耦合。我们证明了神经元树,以及随机生成的树,可以准确地分类基于它们的TMD分布。TMD保留了足够的全局和局部信息,为它们的分类创建了一个公正的基准测试,并能够量化和表征不同形态组之间的结构差异。使用这种数学上严谨的方法将促进我们对解剖学和分支形态多样性的理解。本文的在线版本(10.1007/s12021-017-9341-1)包含补充材料,仅供授权用户使用。
Many biological systems consist of branching structures that exhibit a wide variety of shapes. Our understanding of their systematic roles is hampered from the start by the lack of a fundamental means of standardizing the description of complex branching patterns, such as those of neuronal trees. To solve this problem, we have invented the Topological Morphology Descriptor (TMD), a method for encoding the spatial structure of any tree as a “barcode”, a unique topological signature. As opposed to traditional morphometrics, the TMD couples the topology of the branches with their spatial extents by tracking their topological evolution in 3-dimensional space. We prove that neuronal trees, as well as stochastically generated trees, can be accurately categorized based on their TMD profiles. The TMD retains sufficient global and local information to create an unbiased benchmark test for their categorization and is able to quantify and characterize the structural differences between distinct morphological groups. The use of this mathematically rigorous method will advance our understanding of the anatomy and diversity of branching morphologies. The online version of this article (10.1007/s12021-017-9341-1) contains supplementary material, which is available to authorized users.
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