2007/07/31 by Markus A. Dahlem, Dahlem, Markus A., Felix Schneider +7
Computer Science · Neuroscience · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #FOS: Physical sciences #Neural dynamics and brain function #Nonlinear Dynamics and Pattern Formation #Pattern Formation and Solitons (nlin.PS) #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.0707.4619
openalex publication_date 2007/07/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Transient wave forms in neural networks with diffusive and nonlocal coupling have attracted particular interest because they may mediate recruitment of healthy cortical tissue into a pathological state during migraine. To investigate this process, we use a reaction-diffusion system of inhibitor-activator type as a generic model of pathological wave propagation and set it close to bifurcation in the sub-excitable regime. We report the influence of various nonlocal connectivity schemes on wave propagation. Wave propagation can be suppressed with cross coupling inhibitor and activator for both positive and negative coupling strength K, depending on the connection length d. The area in the parameter plane (d,K) where this control goal is achieved resembles a Mexican-hat-type network connectivity. Our results suggest that nonlocal synaptic transmission can control wave propagation, which may be of therapeutic value.