Daza C Yudy Carolina, Tauro Carolina B, Tamarit Francisco A, Gleiser Pablo M
FAMAF, Instituto de Física Enrique Gaviola, Universidad Nacional de Córdoba, Argentina.
Statistical and Interdisciplinary Physics Group, Centro Atómico Bariloche, Argentina.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Oct;90(4):042818. doi: 10.1103/PhysRevE.90.042818. Epub 2014 Oct 29.
We propose a model for the formation of patterns in the visual cortex. The dynamical units of the model are Kuramoto phase oscillators that interact through a complex network structure embedded in two dimensions. In this way the strength of the interactions takes into account the geographical distance between units. We show that for different parameters, clustered or striped patterns emerge. Using the structure factor as an order parameter we are able to quantitatively characterize these patterns and present a phase diagram. Finally, we show that the model is able to reproduce patterns with cardinal preference, as observed in ferrets.
我们提出了一个关于视觉皮层中图案形成的模型。该模型的动态单元是Kuramoto相位振荡器,它们通过嵌入二维空间的复杂网络结构相互作用。通过这种方式,相互作用的强度考虑了单元之间的地理距离。我们表明,对于不同的参数,会出现聚类或条纹图案。使用结构因子作为序参量,我们能够定量地表征这些图案并给出一个相图。最后,我们表明该模型能够重现雪貂中观察到的具有方向偏好的图案。