Sequences of neural activity arise in many brain areas, including cortex, hippocampus, and
central pattern generator circuits that underlie rhythmic behaviors like locomotion. While …

Combinatorial threshold-linear networks (CTLNs) are a special class of inhibition-dominated
TLNs defined from directed graphs. Like more general TLNs, they display a wide variety of …

Threshold-linear networks consist of simple units interacting in the presence of a threshold
nonlinearity. Competitive threshold-linear networks have long been known to exhibit …

In this paper we develop a novel mathematical formalism for the modeling of neural
information networks endowed with additional structure in the form of assignments of …

Neural circuits in the brain perform a variety of essential functions, including input
classification, pattern completion, and the generation of rhythms and oscillations that support …

Nonlinear network dynamics are notoriously difficult to understand. Here we study a class of
recurrent neural networks called combinatorial threshold-linear networks (CTLNs) whose …

This is a brief overview of an ongoing research project, involving topological models of
neural information networks and the development of new versions of associated information …

arxiv:2212.08211v1 [q-bio.NC] 16 Dec 2022 Page 1 Sequence generation in inhibition-dominated
neural networks Caitlyn Parmelee, Juliana Londono Alvarez, Carina Curto*, Katherine Morrison …

Short-term plasticity (STP) is the process by which a synapse changes its efficacy in a history-
dependent manner. It is hypothesized that STP's information processing capabilities are …

Dynamical systems have played a huge role in modelling neural dynamics. Conley index
theory has been used to analyse the topological structure of invariant sets of …