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Memory is a complex phenomenon that involves several distinct mechanisms. These mechanisms operate at different spatial and temporal levels. This chapter focuses on the theoretical framework and the mathematical models that have been…

Neurons and Cognition · Quantitative Biology 2021-12-22 Stefano Fusi

MemComputing is a new model of computation that exploits the non-equilibrium property-we call 'memory'-of any physical system to respond to external perturbations by keeping track of how it has reacted at previous times. Its digital,…

Disordered Systems and Neural Networks · Physics 2025-12-05 Massimiliano Di Ventra

We show that the local Spike Timing-Dependent Plasticity (STDP) rule has the effect of regulating the trans-synaptic weights of loops of any length within a simulated network of neurons. We show that depending on STDP's polarity, functional…

Neurons and Cognition · Quantitative Biology 2010-03-23 James R. Kozloski , Guillermo A. Cecchi

Brain-inspired machine intelligence research seeks to develop computational models that emulate the information processing and adaptability that distinguishes biological systems of neurons. This has led to the development of spiking neural…

Neural and Evolutionary Computing · Computer Science 2024-10-28 Alexander Ororbia

Neuromorphic architectures offer great promise for achieving computation capacities beyond conventional Von Neumann machines. The essential elements for achieving this vision are highly scalable synaptic mimics that do not undermine…

Emerging Technologies · Computer Science 2015-07-09 Radu Berdan , Eleni Vasilaki , Ali Khiat , Giacomo Indiveri , Alexandru Serb , Themistoklis Prodromakis

Many mathematical models of synaptic plasticity have been proposed to explain the diversity of plasticity phenomena observed in biological organisms. These models range from simple interpretations of Hebb's postulate, which suggests that…

Neurons and Cognition · Quantitative Biology 2025-08-05 Danil Tyulmankov

Plasticity Loss is an increasingly important phenomenon that refers to the empirical observation that as a neural network is continually trained on a sequence of changing tasks, its ability to adapt to a new task diminishes over time. We…

Machine Learning · Computer Science 2025-09-30 Vivek F. Farias , Adam D. Jozefiak

This paper addresses the question of the brain's critical dynamics after an injury such as a stroke. It is hypothesized that the healthy brain operates near a phase transition (critical point), which provides optimal conditions for…

Neurons and Cognition · Quantitative Biology 2023-08-01 Jakub Janarek , Zbigniew Drogosz , Jacek Grela , Jeremi K. Ochab , Paweł Oświęcimka

In recent years self organised critical neuronal models have provided insights regarding the origin of the experimentally observed avalanching behaviour of neuronal systems. It has been shown that dynamical synapses, as a form of short-term…

Adaptation and Self-Organizing Systems · Physics 2018-03-28 L. Michiels van Kessenich , M. Luković , L. de Arcangelis , H. J. Herrmann

This work considers a continuous framework to characterize the population-level variability of structural connectivity. Our framework assumes the observed white matter fiber tract endpoints are driven by a latent random function defined…

Computation · Statistics 2022-07-19 William Consagra , Martin Cole , Zhengwu Zhang

This paper presents verification and implementation methods that have been developed for the design of the BrainScaleS-2 65nm ASICs. The 2nd generation BrainScaleS chips are mixed-signal devices with tight coupling between full-custom…

Hardware Architecture · Computer Science 2020-03-26 Andreas Grübl , Sebastian Billaudelle , Benjamin Cramer , Vitali Karasenko , Johannes Schemmel

This paper describes some biologically-inspired processes that could be used to build the sort of networks that we associate with the human brain. New to this paper, a 'refined' neuron will be proposed. This is a group of neurons that by…

Artificial Intelligence · Computer Science 2018-02-06 Kieran Greer

We revisit the planning problem in the blocks world, and we implement a known heuristic for this task. Importantly, our implementation is biologically plausible, in the sense that it is carried out exclusively through the spiking of…

Artificial Intelligence · Computer Science 2022-11-22 Francesco d'Amore , Daniel Mitropolsky , Pierluigi Crescenzi , Emanuele Natale , Christos H. Papadimitriou

The brain is immensely complex, with diverse components and dynamic interactions building upon one another to orchestrate a wide range of functions and behaviors. Understanding patterns of these complex interactions and how they are…

Neurons and Cognition · Quantitative Biology 2024-08-06 Suman Kulkarni , Dani S. Bassett

Synaptic plasticity depends on the interaction between electrical activity in neurons and the synaptic proteome, the collection of over 1000 proteins in the post-synaptic density (PSD) of synapses. To construct models of synaptic plasticity…

Neurons and Cognition · Quantitative Biology 2014-11-19 David C. Sterratt , Oksana Sorokina , J. Douglas Armstrong

We analyze continuous Hopfield associative memories augmented by additional, rapid short-term associative synaptic plasticity. Through the cavity method, we determine the boundary between the retrieval and forgetting, or spin-glass phase,…

Neurons and Cognition · Quantitative Biology 2026-02-10 Martina Del Gaudio , Federico Ghimenti , Surya Ganguli

Artificial neural networks (ANNs) are typically confined to accomplishing pre-defined tasks by learning a set of static parameters. In contrast, biological neural networks (BNNs) can adapt to various new tasks by continually updating the…

Artificial Intelligence · Computer Science 2022-09-20 Fan Wang , Hao Tian , Haoyi Xiong , Hua Wu , Jie Fu , Yang Cao , Yu Kang , Haifeng Wang

In this paper, we study the effects of spike timing-dependent plasticity on synchronisation in a network of Hodgkin-Huxley neurons. Neuron plasticity is a flexible property of a neuron and its network to change temporarily or permanently…

Neurons and Cognition · Quantitative Biology 2015-03-10 R. R. Borges , F. S. Borges , A. M. Batista , E. L. Lameu , R. L. Viana , K. C. Iarosz , I. L. Caldas , M. A. F. Sanjuán

Large-scale white matter pathways crisscrossing the cortex create a complex pattern of connectivity that underlies human cognitive function. Generative mechanisms for this architecture have been difficult to identify in part because little…

Neurons and Cognition · Quantitative Biology 2015-06-16 Florian Klimm , Danielle S. Bassett , Jean M. Carlson , Peter J. Mucha

In this essay we elaborate on recent evidence demonstrating the presence of a second order phase transition in human brain dynamics and discuss its consequences for theoretical approaches to brain function. We review early evidence of…

Neurons and Cognition · Quantitative Biology 2015-06-12 Enzo Tagliazucchi , Dante R. Chialvo