2022/12/09 by Cyprien Tamekue, Tamekue, Cyprien, Dario Prandi +3 · 1 citation
Biochemistry, Genetics and Molecular Biology · Neuroscience · #FOS: Biological sciences #FOS: Mathematics #FOS: Physical sciences #Neural dynamics and brain function #Neurons and Cognition (q-bio.NC) #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Pattern Formation and Solitons (nlin.PS) #Retinal Development and Disorders #Visual perception and processing mechanisms
paper · pdf · doi:10.48550/arxiv.2212.04827
openalex publication_date 2022/12/09 · openalex created_date 2022/12/25 · openalex updated_date 2026/07/28
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.