Relating network connectivity to dynamics: opportunities and challenges for theoretical neuroscience

C Curto, K Morrison - Current opinion in neurobiology, 2019 - Elsevier
Highlights•Relating network connectivity to dynamics poses a serious theoretical
challenge.•Network science concepts may have limited relevance in a neuroscience …

DotMotif: an open-source tool for connectome subgraph isomorphism search and graph queries

JK Matelsky, EP Reilly, EC Johnson, J Stiso… - Scientific Reports, 2021 - nature.com
Recent advances in neuroscience have enabled the exploration of brain structure at the
level of individual synaptic connections. These connectomics datasets continue to grow in …

Heterogeneous and higher-order cortical connectivity undergirds efficient, robust, and reliable neural codes

DE Santander, C Pokorny, A Ecker, J Lazovskis… - iScience, 2025 - cell.com
We hypothesized that the heterogeneous architecture of biological neural networks provides
a substrate to regulate the well-known tradeoff between robustness and efficiency, thereby …

Cyclic transitions between higher order motifs underlie sustained asynchronous spiking in sparse recurrent networks

K Bojanek, Y Zhu, J MacLean - PLoS computational biology, 2020 - journals.plos.org
A basic—yet nontrivial—function which neocortical circuitry must satisfy is the ability to
maintain stable spiking activity over time. Stable neocortical activity is asynchronous, critical …

Efficiency and reliability in biological neural network architectures

DE Santander, C Pokorny, A Ecker, J Lazovskis… - bioRxiv, 2024 - biorxiv.org
Neurons in a neural circuit exhibit astonishing diversity in terms of the numbers and targets
of their synaptic connections and the statistics of their spiking activity. We hypothesize that …

Homotopy theoretic and categorical models of neural information networks

Y Manin, M Marcolli - Compositionality, 2024 - compositionality.episciences.org
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 …

Combinatorial geometry of threshold-linear networks

C Curto, C Langdon, K Morrison - arxiv preprint arxiv:2008.01032, 2020 - arxiv.org
The architecture of a neural network constrains the potential dynamics that can emerge.
Some architectures may only allow for a single dynamic regime, while others display a great …

Topological model of neural information networks

M Marcolli - International Conference on Geometric Science of …, 2021 - Springer
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 …

Understanding Neocortical Dynamics and Computation Through Spiking Neural Network Modeling

Y Zhu - 2023 - search.proquest.com
Through the use of biofidelic spiking neural network models (SNNs), this work offers
mechanistic insights into the relationship between neocortical structure, dynamics, and …

[HTML][HTML] Advances in machine learning using geometry provide new tools for computational neuroscientist

P Orhan - spectra.mathpix.com
Neuroscience discoveries and machine learning tools have evolved hand to hand to provide
a clearer picture of what intelligent computation is all about. Computations is more and more …