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A neural field models the large scale behaviour of large groups of neurons. We extend results of van Gils et al. [2013] and Dijkstra et al. [2015] by including a diffusion term into the neural field, which models direct, electrical…

Dynamical Systems · Mathematics 2021-01-29 Len Spek , Yuri A. Kuznetsov , Stephan A. van Gils

Neural Cellular Automata (NCAs) are a promising new approach to model self-organizing processes, with potential applications in life science. However, their deterministic nature limits their ability to capture the stochasticity of…

Artificial Intelligence · Computer Science 2025-06-26 Salvatore Milite , Giulio Caravagna , Andrea Sottoriva

In this work, we introduce a novel computational framework that we developed to use numerical simulations to investigate the complexity of brain tissue at a microscopic level with a detail never realised before. Directly inspired by the…

Medical Physics · Physics 2018-06-20 Marco Palombo , Daniel C. Alexander , Hui Zhang

The investigation of the neuronal environment allows us to better understand the activity of a cerebral region as a whole. The recent experimental evidences of the presence of transporters for glutamate and GABA in both neuronal and…

Neurons and Cognition · Quantitative Biology 2015-10-07 Aurélie Garnier , Alexandre Vidal , Habib Benali

Synaptic plasticity is a key component of neuronal dynamics, describing the process by which the connections between neurons change in response to experiences. In this study, we extend a network model of $\theta$-neuron oscillators to…

Neurons and Cognition · Quantitative Biology 2024-08-01 Niamh Fennelly , Alannah Neff , Renaud Lambiotte , Andrew Keane , Áine Byrne

Ever since the last two decades of the past century pioneering studies in the field of statistical physics had focused their efforts on developing models of neural networks that could display memory storage and retrieval. Though many…

Disordered Systems and Neural Networks · Physics 2023-05-16 Enrico Ventura

Network neuroscience is the emerging discipline concerned with investigating the complex patterns of interconnections found in neural systems, and to identify principles with which to understand them. Within this discipline, one…

Neurons and Cognition · Quantitative Biology 2017-08-29 Richard F. Betzel , Danielle S. Bassett

In this work, we present a mathematical model for cyclic and sequential patterns of brain activity, combining heteroclinic dynamics with discrete neural-field models. We first show that spatial-discrete neural-field equations with…

Dynamical Systems · Mathematics 2026-05-05 M Virginia Bolelli , Luca Greco , Dario Prandi

Sequential neuronal activity underlies a wide range of processes in the brain. Neuroscientific evidence for neuronal sequences has been reported in domains as diverse as perception, motor control, speech, spatial navigation and memory.…

Adaptation and Self-Organizing Systems · Physics 2020-04-03 Sascha Frölich , Dimitrije Marković , Stefan J. Kiebel

The field of computational modeling of the brain is advancing so rapidly that now it is possible to model large scale networks representing different brain regions with a high level of biological detail in terms of numbers and synapses. For…

The paper describes some recent developments in neural networks and discusses the applicability of neural networks in the development of a machine that mimics the human brain. The paper mentions a new architecture, the pulsed neural network…

Neural and Evolutionary Computing · Computer Science 2012-09-24 Sachin Lakra , T. V. Prasad , G. Ramakrishna

Full scale simulations of neuronal network models of the brain are challenging due to the high density of connections between neurons. This contribution reports run times shorter than the simulated span of biological time for a full scale…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-04 Anno C. Kurth , Johanna Senk , Dennis Terhorst , Justin Finnerty , Markus Diesmann

Neural encoding of objects and cognitive states remains an elusive yet crucial aspect of brain function. While traditional feed-forward machine learning neural networks have enormous potential to encode information, modern architectures…

Neurons and Cognition · Quantitative Biology 2025-03-10 Alexander Pei

We study a model of interacting neurons. The structure of this neural system is composed of two layers of neurons such that the neurons of the first layer send their spikes to the neurons of the second one: if $N$ is the number of neurons…

Probability · Mathematics 2023-06-22 Xavier Erny

This paper models the dynamics of a large set of interacting neurons within the framework of statistical field theory. We use a method initially developed in the context of statistical field theory [44] and later adapted to complex systems…

Neurons and Cognition · Quantitative Biology 2022-05-25 Pierre Gosselin , Aïleen Lotz , Marc Wambst

From interacting cellular components to networks of neurons and neural systems, interconnected units comprise a fundamental organizing principle of the nervous system. Understanding how their patterns of connections and interactions give…

Neurons and Cognition · Quantitative Biology 2018-08-01 Danielle S. Bassett , Perry Zurn , Joshua I. Gold

Networks of neural mass nodes with delayed interactions are increasingly being used as models for large-scale brain activity. To complement the growing number of computational studies of such networks, it is timely to develop new…

Dynamical Systems · Mathematics 2025-09-29 S Coombes , H G E Meijer

Strongly coupled, recurrent, balanced network models have been successful in describing and predicting many phenomena observed in cortical neural recordings. However, most balanced network models use current-based synapse models in place of…

Neurons and Cognition · Quantitative Biology 2026-05-13 Vicky Zhu , Gabriel Ocker , Robert Rosenbaum

Neuromorphic computing has emerged as a promising avenue towards building the next generation of intelligent computing systems. It has been proposed that memristive devices, which exhibit history-dependent conductivity modulation, could…

Recurrent neural networks are powerful tools for understanding and modeling computation and representation by populations of neurons. Continuous-variable or "rate" model networks have been analyzed and applied extensively for these…

Neurons and Cognition · Quantitative Biology 2016-01-29 Brian DePasquale , Mark M. Churchland , L. F. Abbott