Biological aging is a complex process involving multiple biological processes. These can be
understood theoretically though considering them as individual networks—eg, epigenetic …

We present a detailed analysis of the dynamical regimes observed in a balanced network of
identical quadratic integrate-and-fire neurons with sparse connectivity for homogeneous and …

We present a simple model for coherent, spatially correlated chaos in a recurrent neural
network. Networks of randomly connected neurons exhibit chaotic fluctuations and have …

Rate chaos is a collective state of a neural network characterized by slow irregular
fluctuations of firing rates of individual neurons. We study a sparsely connected network of …

In this paper, we first establish well-posedness of McKean–Vlasov stochastic differential
equations (McKean–Vlasov SDEs) with common noise, possibly with coefficients of super …

Dynamic excitatory-inhibitory (EI) balance is a paradigmatic mechanism invoked to explain
the irregular low firing activity observed in the cortex. However, we will show that the EI …

This study aims to review recent research on the collective behaviour of excitatory and
inhibitory (EI) spiking neural networks. The research methodology used is Preferred …

We extend a model of positive feedback and contagion in large mean-field systems, by
introducing a common source of noise driven by Brownian motion. Although the driving …

Understanding the magnitude and structure of interneuronal correlations and their
relationship to synaptic connectivity structure is an important and difficult problem in …

We study a network of unidirectionally coupled rotators with independent identically
distributed (iid) frequencies and iid coupling coefficients. Similar to biological networks, this …