Structured Excitatory-Inhibitory Networks: a low-rank approach
Networks of excitatory and inhibitory (EI) neurons form a canonical circuit in the brain. Classical theoretical analyses of dynamics in EI networks have revealed key principles such as EI balance or paradoxical responses to external inputs. These seminal results assume that synaptic strengths depend on the type of neurons they connect but are otherwise statistically independent. However, recent synaptic physiology datasets have uncovered connectivity patterns that deviate significantly from independent connection models. Simultaneously, studies of task-trained recurrent networks have emphasized the role of connectivity structure in implementing neural computations. Despite these findings, integrating detailed connectivity structures into mean-field theories of EI networks remains a substantial challenge. In this talk, I will outline a theoretical approach to understanding dynamics in structured EI networks by employing a low-rank approximation based on an analytical computation of the dominant eigenvalues of the full connectivity matrix. I will illustrate this approach by investigating the effects of pair-wise connectivity motifs on linear dynamics in EI networks. Specifically, I will present recent results demonstrating that an over-representation of chain motifs induces a strong positive eigenvalue in inhibition-dominated networks, generating a potential instability that challenges classical EI balance criteria. Furthermore, by examining the effects of external input, we found that chain motifs can, on their own, induce paradoxical responses, wherein an increased input to inhibitory neurons leads to a counterintuitive decrease in their activity through recurrent feedback mechanisms. Altogether, our theoretical approach opens new avenues for relating recorded connectivity structures with dynamics and computations in biological networks. Presented in the van Vreeswijk Theoretical Neuroscience Seminar series (formerly WWTNS) on 2025-01-22. Recording duration: 00:47:27.
Diversification of cortical inhibitory circuits & Molecular programs orchestrating the wiring of inhibitory circuitries
GABAergic interneurons play crucial roles in the regulation of neural activity in the cerebral cortex. In this Dual Lecture, Prof Oscar Marín and Prof Beatriz Rico will discuss several aspects of the formation of inhibitory circuits in the mammalian cerebral cortex. Prof. Marín will provide an overview of the mechanisms regulating the generation of the remarkable diversity of GABAergic interneurons and their ultimate numbers. Prof. Rico will describe the molecular logic through which specific pyramidal cell-interneuron circuits are established in the cerebral cortex, and how alterations in some of these connectivity motifs might be liked to disease. Our web pages for reference: https://devneuro.org.uk/marinlab/ & https://devneuro.org.uk/rico/default
Dual lecture: Diversification of cortical inhibitory circuits & Molecular programs orchestrating the wiring of inhibitory circuitries
GABAergic interneurons play crucial roles in the regulation of neural activity in the cerebral cortex. In this Dual Lecture, Prof Oscar Marín and Prof Beatriz Rico will discuss several aspects of the formation of inhibitory circuits in the mammalian cerebral cortex. Prof. Marín will provide an overview of the mechanisms regulating the generation of the remarkable diversity of GABAergic interneurons and their ultimate numbers. Prof. Rico will describe the molecular logic through which specific pyramidal cell-interneuron circuits are established in the cerebral cortex, and how alterations in some of these connectivity motifs might be liked to disease.
Cortical interneuron wiring in health and disease
The establishment of synaptic connections is essential for normal brain function, yet the molecular mechanisms responsible for the precise connectivity of specific neural circuits remain largely unknown. Previous work has shown that the assembly of cortical circuits requires specific functions of molecular signalling complexes at different classes of synapses. In this talk, I will describe the molecular logic through which specific pyramidal cell-interneuron circuits are established in the cerebral cortex of the mouse, and how alterations in some of these connectivity motifs might be liked to disease.