论文标题
Mackay型视觉幻觉的皮质起源：非线性的一种情况
Cortical origins of MacKay-type visual illusions: A case for the non-linearity
论文作者
论文摘要
为了研究冗余几何模式的视网膜刺激与一级视觉皮层中的皮质反应之间的相互作用（V1），我们重点介绍Mackay效应（自然，1957年）以及Billock and Tsou的实验（PNAS，2007年）。我们使用一种可控方法来描述这些现象，从具有非线性响应函数的神经元场方程的经典生物学模型开始。包含局部控制函数的外部输入被解释为这些实验中使用的静态视觉刺激的皮质表示。我们证明，虽然麦凯效应本质上是一种线性现象（即激活的非线性性质在其繁殖中没有任何作用），但Billock和Tsou报告的现象是完全非线性的，并且强烈依赖于用于模拟响应功能的非线性形状。
To study the interaction between retinal stimulation by redundant geometrical patterns and the cortical response in the primary visual cortex (V1), we focus on the MacKay effect (Nature, 1957) and Billock and Tsou's experiments (PNAS, 2007). We use a controllability approach to describe these phenomena starting from a classical biological model of neuronal field equations with a non-linear response function. The external input containing a localised control function is interpreted as a cortical representation of the static visual stimuli used in these experiments. We prove that while the MacKay effect is essentially a linear phenomenon (i.e., the nonlinear nature of the activation does not play any role in its reproduction), the phenomena reported by Billock and Tsou are wholly nonlinear and depend strongly on the shape of the nonlinearity used to model the response function.
