Statistical comparison of spatial point patterns in biological imaging.

Statistical comparison of spatial point patterns in biological imaging.
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DOI:
10.1371/journal.pone.0087759
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发表时间:
2014
期刊:
影响因子:
3.7
通讯作者:
Andrey P
Andrey P
中科院分区:
综合性期刊3区
文献类型:
--
作者:
Burguet J;Andrey P

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在生物系统中,功能和空间组织密切相关。生物学中的空间数据通常由点集组成,或者可以被同化为点集。此类数据定量分析的一个重要目标是评估和定位群体之间空间分布的差异。由于实验重复,实现这一目标需要比较点集的集合,这是一个非常具有挑战性的问题,迄今为止尚未提出任何方法。我们引入了一种基于整个空间点强度比较的策略来解决这个问题。我们的方法基于统计测试,确定使用复制数据估计的局部点强度是否显着不同。在不同位置重复此测试可提供强度比较图并揭示显示显着强度差异的域。模拟数据用于表征和验证该方法。然后将该方法应用于两个不同的神经解剖系统,以评估其揭示生物数据集中空间差异的能力。该方法应用于大鼠脊髓内的两个不同的神经元群,生成了先前在主观视觉基础上建立的空间隔离的客观表示。该方法还用于分析对照和突变小鼠的蓝斑神经元的空间分布。结果客观地巩固了之前通过视觉比较得出的结论。值得注意的是,他们还为突变体和对照动物的蓝斑成熟提供了新的见解。总的来说,这里介绍的方法是对生物组织定量分析的新贡献,它提供了易于理解和解释的有意义的空间表示。最后,由于我们的方法是通用的,并且点状结构在细胞和组织学尺度上广泛存在,因此它对于生物系统分析的广泛应用具有潜在的用途。
In biological systems, functions and spatial organizations are closely related. Spatial data in biology frequently consist of, or can be assimilated to, sets of points. An important goal in the quantitative analysis of such data is the evaluation and localization of differences in spatial distributions between groups. Because of experimental replications, achieving this goal requires comparing collections of point sets, a noticeably challenging issue for which no method has been proposed to date. We introduce a strategy to address this problem, based on the comparison of point intensities throughout space. Our method is based on a statistical test that determines whether local point intensities, estimated using replicated data, are significantly different or not. Repeating this test at different positions provides an intensity comparison map and reveals domains showing significant intensity differences. Simulated data were used to characterize and validate this approach. The method was then applied to two different neuroanatomical systems to evaluate its ability to reveal spatial differences in biological data sets. Applied to two distinct neuronal populations within the rat spinal cord, the method generated an objective representation of the spatial segregation established previously on a subjective visual basis. The method was also applied to analyze the spatial distribution of locus coeruleus neurons in control and mutant mice. The results objectively consolidated previous conclusions obtained from visual comparisons. Remarkably, they also provided new insights into the maturation of the locus coeruleus in mutant and control animals. Overall, the method introduced here is a new contribution to the quantitative analysis of biological organizations that provides meaningful spatial representations which are easy to understand and to interpret. Finally, because our approach is generic and punctual structures are widespread at the cellular and histological scales, it is potentially useful for a large spectrum of applications for the analysis of biological systems.
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