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The paper highlights the role of a positive feedback gating mechanism at the cellular level in the robust- ness and modulation properties of rhythmic activities at the circuit level. The results are presented in the context of half-center…

Neurons and Cognition · Quantitative Biology 2014-12-22 Julie Dethier , Guillaume Drion , Alessio Franci , Rodolphe Sepulchre

We propose a data-driven approach to represent neuronal network dynamics as a Probabilistic Graphical Model (PGM). Our approach learns the PGM structure by employing dimension reduction to network response dynamics evoked by stimuli applied…

Neurons and Cognition · Quantitative Biology 2017-11-02 Hexuan Liu , Jimin Kim , Eli Shlizerman

Living organisms must respond to environmental changes. Generally, accurate and rapid responses are provided by simple, unidirectional networks that connect inputs with outputs. Besides accuracy and speed, biological responses should also…

Molecular Networks · Quantitative Biology 2021-09-01 Masayo Inoue , Kunihiko Kaneko

We propose a modular architecture for neuromorphic closed-loop control based on bistable relaxation oscillator modules consisting of three spiking neurons each. Like its biological prototypes, this basic component is robust to parameter…

Neural and Evolutionary Computing · Computer Science 2021-01-27 Alex Spaeth , Maryam Tebyani , David Haussler , Mircea Teodorescu

We consider continuous time Hopfield-like recurrent networks as dynamical models for gene regulation and neural networks. We are interested in networks that contain n high-degree nodes preferably connected to a large number of Ns weakly…

Molecular Networks · Quantitative Biology 2016-08-03 Sergei Vakulenko , Ivan Morozov , Ovidiu Radulescu

Targeted electrical stimulation of the brain perturbs neural networks and modulates their rhythmic activity both at the site of stimulation and at remote brain regions. Understanding, or even predicting, this neuromodulatory effect is…

Neurons and Cognition · Quantitative Biology 2021-06-29 Christoforos Papasavvas , Peter Neal Taylor , Yujiang Wang

We investigate different dynamical regimes of neuronal network in the CA3 area of the hippocampus. The proposed neuronal circuit includes two fast- and two slowly-spiking cells which are interconnected by means of dynamical synapses. On the…

Neurons and Cognition · Quantitative Biology 2015-11-20 Anastasia I. Lavrova , Michael A. Zaks , Lutz Schimansky-Geier

A diverse white matter network and finely tuned neuronal membrane properties allow the brain to transition seamlessly between cognitive states. However, it remains unclear how static structural connections guide the temporal progression of…

This paper studies a multi-task control problem where multiple linear systems are to be regulated by a single non-linear controller. In particular, motivated by recent advances in multi-task learning and the design of brain-inspired…

Systems and Control · Electrical Eng. & Systems 2025-02-03 Umberto Casti , Giacomo Baggio , Sandro Zampieri , Fabio Pasqualetti

Flexible modulation of temporal dynamics in neural sequences underlies many cognitive processes. For instance, we can adaptively change the speed of motor sequences and speech. While such flexibility is influenced by various factors such as…

Neurons and Cognition · Quantitative Biology 2025-04-15 Tomoki Kurikawa , Kunihiko Kaneko

The discovery of linear embedding is the key to the synthesis of linear control techniques for nonlinear systems. In recent years, while Koopman operator theory has become a prominent approach for learning these linear embeddings through…

Robotics · Computer Science 2026-03-02 Rajpal Singh , Chandan Kumar Sah , Jishnu Keshavan

Biological and artificial learning systems alike confront the plasticity-stability dilemma. In the brain, neuromodulators such as acetylcholine and noradrenaline relieve this tension by tuning neuronal gain and inhibitory gating, balancing…

Neurons and Cognition · Quantitative Biology 2025-07-14 Alejandro Rodriguez-Garcia , Christopher J. Whyte , Brandon R. Munn , Jie Mei , James M. Shine , Srikanth Ramaswamy

The stability of complex networks, from power grids to biological systems, is crucial for their proper functioning. It is thus important to control such systems to maintain or restore their stability. Traditional approaches rely on…

Optimization and Control · Mathematics 2025-09-23 Yuzhen Qin , Fabio Pasqualetti , Danielle S. Bassett , Marcel van Gerven

We study the optimal control of multiple-input and multiple-output dynamical systems via the design of neural network-based controllers with stability and output tracking guarantees. While neural network-based nonlinear controllers have…

Systems and Control · Electrical Eng. & Systems 2023-05-30 Wenqi Cui , Yan Jiang , Baosen Zhang , Yuanyuan Shi

The computational capabilities of a neural network are widely assumed to be determined by its static architecture. Here we challenge this view by establishing that a fixed neural structure can operate in fundamentally different…

Neural and Evolutionary Computing · Computer Science 2025-09-24 Xia Chen

The stability of standing in humans is a complex process that leads to maintaining the upright position against external disturbances. Balance control during standing is of vital importance for humans in daily life. An issue that is still…

Systems and Control · Electrical Eng. & Systems 2023-11-15 Golnoush Shahraki , Majid Sadrzadeh , Elyas Irankhah

Neural systems can be modeled as networks of functionally connected neural elements. The resulting network can be analyzed using mathematical tools from network science and graph theory to quantify the system's topological organization and…

Neurons and Cognition · Quantitative Biology 2020-07-01 Richard F. Betzel , Katherine C. Wood , Christopher Angeloni , Maria Neimark Geffen , Danielle S. Bassett

We study a novel architecture and training procedure for locomotion tasks. A high-frequency, low-level "spinal" network with access to proprioceptive sensors learns sensorimotor primitives by training on simple tasks. This pre-trained…

Robotics · Computer Science 2016-10-18 Nicolas Heess , Greg Wayne , Yuval Tassa , Timothy Lillicrap , Martin Riedmiller , David Silver

In this paper, we introduce a novel architecture to connecting adaptive learning and neural networks into an arbitrary machine's control system paradigm. Two consecutive Recurrent Neural Networks (RNNs) are used together to accurately model…

Machine Learning · Computer Science 2020-02-26 Srikanth Chandar , Harsha Sunder

The understanding of neural activity patterns is fundamentally linked to an understanding of how the brain's network architecture shapes dynamical processes. Established approaches rely mostly on deviations of a given network from certain…

Neurons and Cognition · Quantitative Biology 2014-09-19 Marc-Thorsten Huett , Marcus Kaiser , Claus C. Hilgetag