COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |
University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Bump attractors and waves in networks of leaky integrate-and-fire neurons
Bump attractors and waves in networks of leaky integrate-and-fire neuronsAdd to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact nobody. ADIW02 - Mathematical and Computational Modelling of Anti-Diffusive Phenomena Coauthors: Daniele Avitabile (VU Amsterdam), Joshua L. Davis (DSTL) Bump attractors are wandering localised patterns observed in in vivo experiments of spatially-extended neurobiological networks. They are important for the brain’s navigational system and speci c memory tasks. A bump attractor is characterised by a core in which neurons re frequently, while those away from the core do not re. These structures have been found in simulations of spiking neural networks, but we do not yet have a mathematical understanding of their existence, because a rigorous analysis of the nonsmooth networks that support them is challenging. We uncover a relationship between bump attractors and travelling waves in a classical network of excitable, leaky integrate-and- re neurons. This relationship bears strong similarities to the one between complex spatiotemporal patterns and waves at the onset of pipe turbulence. Waves in the spiking network are determined by a ring set, that is, the collection of times at which neurons reach a threshold and re as the wave propagates. We de ne and study analytical properties of the voltage mapping, an operator transforming a solution’s ring set into its spatiotemporal pro le. This operator allows us to construct localised travelling waves with an arbitrary number of spikes at the core, and to study their linear stability. A homogeneous \laminar” state exists in the network, and it is linearly stable for all values of the principal control parameter. Su ciently wide disturbances to the homogeneous state elicit the bump attractor. We show that one can construct waves with a seemingly arbitrary number of spikes at the core; the higher the number of spikes, the slower the wave, and the more its pro le resembles a stationary bump. As in the uid-dynamical analogy, such waves coexist with the homogeneous state, are unstable, and the solution branches to which they belong are disconnected from the laminar state; we provide evidence that the dynamics of the bump attractor displays echoes of the unstable waves, which form its building blocks. This talk is part of the Isaac Newton Institute Seminar Series series. This talk is included in these lists:
Note that ex-directory lists are not shown. |
Other listsGloba; Intellectula History Is there Enough for All of Us? Global Growth, Climate Change and Food Security TechnologyOther talksEnd of term Polar social gathering Towards Ambient Physiological Sensing for Digital Healthcare Glioblastoma response to standard treatment stratifies patients into two responder subtypes, creating the potential for precision medicine Evolutionary Genetics of Visual Preferences: Beauty, Brains and Butterfly Diversity Wakehurst Ecosystem Observatory: monitoring long term biodiversity trends with Kew’s Nature Unlocked programme Damping from fragmented materials |