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Most models of neurons incorporate a capacitor to account for the marked capacitive behavior exhibited by the cell membrane. However, such capacitance is widely considered constant, thereby neglecting the possible effects of time-dependent…

Neurons and Cognition · Quantitative Biology 2025-12-29 Matías Courdurier , Leonel E. Medina , Esteban Paduro

In living organisms, homeostasis is the natural regulation of internal states aimed at maintaining conditions compatible with life. Typical artificial systems are not equipped with comparable regulatory features. Here, we introduce an…

Machine Learning · Computer Science 2024-12-24 Kingson Man , Antonio Damasio , Hartmut Neven

In recent years, there have been many computational simulations of spontaneous neural dynamics. Here, we explore a model of spontaneous neural dynamics and allow it to control a virtual agent moving in a simple environment. This setup…

Neurons and Cognition · Quantitative Biology 2016-08-19 Peter J. Hellyer , Claudia Clopath , Angie A. Kehagia , Federico E. Turkheimer , Robert Leech

This study investigates how dynamical systems may be learned and modelled with a neuromorphic network which is itself a dynamical system. The neuromorphic network used in this study is based on a complex electrical circuit comprised of…

Disordered Systems and Neural Networks · Physics 2025-10-24 Yinhao Xu , Georg A. Gottwald , Zdenka Kuncic

The dynamic membrane potential threshold, as one of the essential properties of a biological neuron, is a spontaneous regulation mechanism that maintains neuronal homeostasis, i.e., the constant overall spiking firing rate of a neuron. As…

Robotics · Computer Science 2023-06-21 Jianchuan Ding , Bo Dong , Felix Heide , Yufei Ding , Yunduo Zhou , Baocai Yin , Xin Yang

A biological system achieve homeostasis when there is a regulated quantity that is maintained within a narrow range of values. Here we consider homeostasis as a phenomenon of network dynamics. In this context, we improve a general theory…

Molecular Networks · Quantitative Biology 2024-05-08 João Luiz de Oliveira Madeira , Fernando Antoneli

Rich, spontaneous brain activity has been observed across a range of different temporal and spatial scales. These dynamics are thought to be important t for efficient neural functioning. Experimental evidence suggests that these neural…

Neurons and Cognition · Quantitative Biology 2015-01-21 Peter J. Hellyer , Barbara Jachs , Robert Leech , Claudia Clopath

Artificial neural networks achieve strong performance on benchmark tasks but remain fundamentally brittle under perturbations, limiting their deployment in real-world settings. In contrast, biological nervous systems sustain reliable…

Neural and Evolutionary Computing · Computer Science 2026-02-10 MD Azizul Hakim

Continuous, adaptive learning, the ability to adapt to the environment and keep improving performance, is a hallmark of natural intelligence. Biological organisms excel in acquiring, transferring, and retaining knowledge while adapting to…

Neurons and Cognition · Quantitative Biology 2026-03-03 Jie Mei , Alejandro Rodriguez-Garcia , Daigo Takeuchi , Gabriel Wainstein , Nina Hubig , Yalda Mohsenzadeh , Srikanth Ramaswamy

We present an account of neuroplasticity with respect to cell-internal processing pathways in relation to membrane and synaptic plasticity. We think traditional synapse-centric, weight-based models of memorization are not sufficient or…

Neurons and Cognition · Quantitative Biology 2026-04-27 Gabriele Scheler

Transient or partial synchronization can be used to do computations, although a fully synchronized network is frequently related to epileptic seizures. Here, we propose a homeostatic mechanism that is capable of maintaining a neuronal…

Adaptation and Self-Organizing Systems · Physics 2024-05-21 Sue L. Rhâmidda , Mauricio Girardi-Schappo , Osame Kinouchi

Neurons regulate the distribution of signaling components across an extended tree-like cellular structure using both local and global feedback control. This is hypothesized to allow homeostatic control of the electrical activity of a neuron…

Adaptation and Self-Organizing Systems · Physics 2021-04-27 Saeed Aljaberi , Adriano Bellotti , Timothy O'Leary , Fulvio Forni

In view of ever-changing conditions both in the external world and in intrinsic brain states, maintaining the robustness of computations poses a challenge, adequate solutions to which we are only beginning to understand. At the level of…

Neurons and Cognition · Quantitative Biology 2022-03-29 Nelson Niemeyer , Jan-Hendrik Schleimer , Susanne Schreiber

Animals excel at adapting their intentions, attention, and actions to the environment, making them remarkably efficient at interacting with a rich, unpredictable and ever-changing external world, a property that intelligent machines…

Machine Learning · Computer Science 2019-12-09 Nicolas Vecoven , Damien Ernst , Antoine Wehenkel , Guillaume Drion

Homeostasis is a prevalent process by which living beings maintain their internal milieu around optimal levels. Multiple lines of evidence suggest that living beings learn to act to predicatively ensure homeostasis (allostasis). A classical…

Artificial Intelligence · Computer Science 2021-09-15 Hugo Laurençon , Charbel-Raphaël Ségerie , Johann Lussange , Boris S. Gutkin

Homeostasis is concerned with regulatory mechanisms, present in biological systems, where some specific variable is kept close to a set value as some external disturbance affects the system. Mathematically, the notion of homeostasis can be…

Molecular Networks · Quantitative Biology 2024-05-08 Fernando Antoneli , Martin Golubitsky , Jiaxin Jin , Ian Stewart

Humans excel at continually acquiring, consolidating, and retaining information from an ever-changing environment, whereas artificial neural networks (ANNs) exhibit catastrophic forgetting. There are considerable differences in the…

Neural and Evolutionary Computing · Computer Science 2023-04-17 Fahad Sarfraz , Elahe Arani , Bahram Zonooz

In this paper we study the hydrodynamic limit for a stochastic process describing the time evolution of the membrane potentials of a system of neurons with spatial dependency. We do not impose on the neurons mean-field type interactions.…

Probability · Mathematics 2017-07-14 Aline Duarte , Guilherme Ost , Andrés Rodríguez

We study a stochastic process describing the continuous time evolution of the membrane potentials of finite system of neurons in the absence of external stimuli. The values of the membrane potentials evolve under the effect of {\it chemical…

Probability · Mathematics 2017-07-14 Aline Duarte , Guilherme Ost

The human brain is the gold standard of adaptive learning. It not only can learn and benefit from experience, but also can adapt to new situations. In contrast, deep neural networks only learn one sophisticated but fixed mapping from inputs…

Computer Vision and Pattern Recognition · Computer Science 2021-03-18 Shixian Wen , Amanda Rios , Yunhao Ge , Laurent Itti
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