On the Search for Brain Bifurcation Parameters: Lessons From FMRI Studies on Visual Illusions

T. Frank, P. Stowik
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Abstract

Data from three functional magnetic resonance imaging (fMRI) studies that involved in total about 100 participants and showed that the strength of several visual illusions such as the Ebbinghaus, Ponzo, and Muller-Lyer illusions depends on neuroanatomical subject measures such as visual cortex surface area and parahippocampal cortex gray matter volume were evaluated using a dynamical systems perspective to determine brain bifurcation parameters. Bifurcation parameters that involved power laws and captured relational dependencies were fitted separately to the three fMRI studies. The bifurcation parameter hypothesis that states that such parameters show unique quantities and are no longer correlated to structural systems properties was tested. The power law exponents and mean bifurcation parameter values were determined. For all three studies and three illusion types, the bifurcation parameter hypothesis was supported. Accordingly, the constructed parameters characterized the reactions of the participants under the Ebbinghaus, Ponzo, and Muller-Lyer illusions in terms of unique threshold values that no longer depended on neuroanatomical subject measures. Power law exponents in the range from 1 to 7 were found. The fMRI data describing gray matter volume of certain active regions in the parahippocampal cortex showed some interesting relationship between the mean bifurcation parameter values.
脑分叉参数的搜索——FMRI视觉错觉研究的启示
来自三项功能性磁共振成像(fMRI)研究的数据共涉及约100名参与者,Muller-Lyer错觉取决于神经解剖学受试者的测量,如视觉皮层表面积和海马旁皮层灰质体积。涉及幂律和捕获的关系依赖性的分叉参数分别拟合到三项fMRI研究中。分叉参数假说表明,这些参数显示出独特的数量,并且不再与结构系统特性相关。确定了幂律指数和平均分岔参数值。对于所有三项研究和三种错觉类型,分叉参数假说得到了支持。因此,所构建的参数根据不再依赖于神经解剖学受试者测量的独特阈值来表征参与者在Ebbinghaus、Ponzo和Muller-Lyer错觉下的反应。幂律指数在1到7之间。描述海马旁皮层某些活动区域灰质体积的fMRI数据显示,平均分叉参数值之间存在一些有趣的关系。
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