Spatiotemporal dynamics of continuum neural fields

Paul C Bressloff
2011 Journal of Physics A: Mathematical and Theoretical  
We survey recent analytical approaches to studying the spatiotemporal dynamics of continuum neural fields. Neural fields model the large-scale dynamics of spatially structured biological neural networks in terms of nonlinear integrodifferential equations whose associated integral kernels represent the spatial distribution of neuronal synaptic connections. They provide an important example of spatially extended excitable systems with nonlocal interactions and exhibit a wide range of spatially
more » ... erent dynamics including traveling waves oscillations and Turing-like patterns.
doi:10.1088/1751-8113/45/3/033001 fatcat:sj7ezyxblnhm7p4mklvghnyqlu