The peripheral drift illusion (e.g. Rotating snake ) yields rotating motion on our peripheral vision. It was reported that the order of different four luminance regions is essential for the illusion . Moreover, Conway et al. have suggested that luminance or contrast dependent latency in response of V1/MT direction selective cells for those kinds of luminance (black, dark-gray (blue), light-gray (yellow), and white) was contributed on perception of the rotating illusory motion . In the present work, we modeled V1 and MT as a retinotopic map using those direction selective cells  and investigated whether this model can reproduce the rotating illusory motion.
The model of V1 and MT were constructed as a retinotopic map of those direction selective cells. The temporal responses of V1 and MT direction selective cells were estimated from the Conway’s single unit data  using regression analysis and were parameterized for either contrast or luminance. In the parameterization for the luminance, the estimated neuronal responses were normalized to take a range from 0.0 (black) to 1.0 (white). In ones for the contrast, low and high contrast were defined to be negative and positive value, and estimated responses were normalized to take range from 0 (gray) to 1.0 (white) or -1.0 (black).
We used Rotating snake stimulus for a model input. In the simulation, the input stimulus image was divided into four luminance regions (black, dark gray (blue), light gray (yellow), and white); the neuronal responses were separately computed in each region. In agreement with experimental study , the similar rotating motions were observed in the transition of neuronal responses of the V1 and MT model for contrast; any experimentally consistent rotating motions were not found in those for luminance. For the control stimulus that does not evoke the rotating illusion, any rotation motions were not observed. We also analyzed those reproduced responses by optical flow . The flows corresponding to rotating illusory motion were reproduced in peripheral region of the map of V1 and MT for contrast, but ambiguous flows were observed in those for luminance. For the control stimulus, the flows for clockwise and counter clockwise rotation were detected, and those seem to cancel the perception of rotating illusion.
In the present study, we modeled the V1 and MT direction selective cells based on the single unit data, and created the retinotopic map of V1 and MT. The models successfully reproduced the similar rotating motions observed in the experimental study . By analyzing the V1 and MT responses transition by optical flow, the flows for the rotating illusory motion were represented peripherally in those maps reconstructed based on contrast, while the flows countervailing the perception of rotating illusion were observed in the control stimulus. The results suggested that the signal source for the perception of rotating snake was represented in both V1 and MT, and the contrast is a key signal to drive an illusory motions in peripheral drift illusion as reported by previous studies [1,2].
We thank to Drs. T. Kannon and H. Sasaki for valuable discussions. This research was supported by "The Next Generation Integrated Simulation of Living Matters", part of the Development and Use of the Next-Generation Supercomputer Project of the MEXT.