Analysis of neural excitability and oscillations
Methods in neuronal modeling
Synchrony in excitatory neural networks
Neural Computation
Neuronal Networks of the Hippocampus
Neuronal Networks of the Hippocampus
Spiral Waves in Integrate-and-Fire Neural Networks
Advances in Neural Information Processing Systems 5, [NIPS Conference]
Hi-index | 0.00 |
We study the onset and evolution of waves in an integrate-and-fire network of synaptically coupled neurons in one- and two-dimensional domains which are restricted to firing one spike. We determine the critical size of initial excitation of the network necessary for the onset of propagation. We also determine the ignition time. We derive an integro-differential equation for the evolution of the firing time as a function of spatial position. We use the evolution equation to understand propagation failure. We compare the behavior of the integrate-and-fire model with a biophysically based model. Finally, we show that weak heterogeneity has similarly weak effects on the firing times.