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Coordinated Optimization of Visual Cortical Maps (II) Numerical Studies

机译:视觉皮层图的协同优化(II)数值研究

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摘要

In the juvenile brain, the synaptic architecture of the visual cortex remains in a state of flux for months after the natural onset of vision and the initial emergence of feature selectivity in visual cortical neurons. It is an attractive hypothesis that visual cortical architecture is shaped during this extended period of juvenile plasticity by the coordinated optimization of multiple visual cortical maps such as orientation preference (OP), ocular dominance (OD), spatial frequency, or direction preference. In part (I) of this study we introduced a class of analytically tractable coordinated optimization models and solved representative examples, in which a spatially complex organization of the OP map is induced by interactions between the maps. We found that these solutions near symmetry breaking threshold predict a highly ordered map layout. Here we examine the time course of the convergence towards attractor states and optima of these models. In particular, we determine the timescales on which map optimization takes place and how these timescales can be compared to those of visual cortical development and plasticity. We also assess whether our models exhibit biologically more realistic, spatially irregular solutions at a finite distance from threshold, when the spatial periodicities of the two maps are detuned and when considering more than 2 feature dimensions. We show that, although maps typically undergo substantial rearrangement, no other solutions than pinwheel crystals and stripes dominate in the emerging layouts. Pinwheel crystallization takes place on a rather short timescale and can also occur for detuned wavelengths of different maps. Our numerical results thus support the view that neither minimal energy states nor intermediate transient states of our coordinated optimization models successfully explain the architecture of the visual cortex. We discuss several alternative scenarios that may improve the agreement between model solutions and biological observations.
机译:在青少年的大脑中,视觉皮层的突触结构在视觉自然发作并在视觉皮层神经元中出现了特征选择性后的几个月内,一直处于变化状态。一个有吸引力的假设是,视觉皮质结构在青少年可塑性的这一延长时期内通过多个视觉皮质图(例如方向偏好(OP),眼优势(OD),空间频率或方向偏好)的协同优化而成形。在这项研究的第(I)部分中,我们介绍了一类易于分析处理的协调优化模型,并求解了代表性示例,其中,OP映射的空间复杂性是由映射之间的相互作用引起的。我们发现这些接近对称破坏阈值的解决方案可预测高度有序的地图布局。在这里,我们研究了朝吸引子态收敛的时间过程以及这些模型的最优性。特别是,我们确定进行地图优化的时标,以及如何将这些时标与视觉皮层发育和可塑性相比较。我们还评估了当两个地图的空间周期性失谐并且考虑了两个以上的特征尺寸时,我们的模型是否在距阈值有限的距离处表现出生物学上更现实的,空间上不规则的解。我们显示,尽管地图通常会进行大量的重新排列,但是在新兴的布局中,除了风车晶体和条纹之外,没有其他解决方案占主导地位。风车结晶发生在相当短的时间范围内,并且对于不同图谱的失谐波长也可能发生。因此,我们的数值结果支持以下观点:协调优化模型的最小能量状态或中间瞬态都无法成功解释视觉皮层的体系结构。我们讨论了几种可能会改善模型解决方案与生物学观测之间一致性的方案。

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