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The time elapsed model describes the firing activity of an homogeneous assembly of neurons thanks to the distribution of times elapsed since the last discharge. It gives a mathematical description of the probability density of neurons…

Analysis of PDEs · Mathematics 2011-09-16 Khashayar Pakdaman , Benoît Perthame , Delphine Salort

R1-style LLMs have attracted growing attention for their capacity for self-reflection, yet the internal mechanisms underlying such behavior remain unclear. To bridge this gap, we anchor on the onset of reflection behavior and trace its…

Computation and Language · Computer Science 2026-02-06 Yanrui Du , Yibo Gao , Sendong Zhao , Jiayun Li , Haochun Wang , Qika Lin , Kai He , Bing Qin , Mengling Feng

Recent studies of cortical neurons driven by fluctuating currents revealed cutoff frequencies for action potential encoding of several hundred Hz. Theoretical studies of biophysical neuron models have predicted a much lower cutoff frequency…

Neurons and Cognition · Quantitative Biology 2015-05-27 Wei Wei , Fred Wolf

Neurons can display highly variable dynamics. While such variability presumably supports the wide range of behaviors generated by the organism, their gene expressions are relatively stable in the adult brain. This suggests that neuronal…

Neurons and Cognition · Quantitative Biology 2023-11-07 Lu Mi , Trung Le , Tianxing He , Eli Shlizerman , Uygar Sümbül

This study proposes a framework that extends existing time-coding time-to-first-spike spiking neural network (SNN) models to allow processing information changing over time. We explain spike propagation through a model with multiple input…

Neural and Evolutionary Computing · Computer Science 2024-07-15 Mateusz Pabian , Dominik Rzepka , Mirosław Pawlak

Progress has led to a detailed understanding of the neural mechanisms that underlie decision making in primates. However, less is known about why such mechanisms are present in the first place. Theory suggests that primate decision making…

Neurons and Cognition · Quantitative Biology 2026-01-21 Nathan J. Wispinski , Scott A. Stone , Anthony Singhal , Patrick M. Pilarski , Craig S. Chapman

Advances in neural recording methods enable sampling from populations of thousands of neurons during the performance of behavioral tasks, raising the question of how recorded activity relates to the theoretical models of computations…

Neurons and Cognition · Quantitative Biology 2020-07-01 Audrey J. Sederberg , Ilya Nemenman

We study how long-lived, rational agents learn in a social network. In every period, after observing the past actions of his neighbors, each agent receives a private signal, and chooses an action whose payoff depends only on the state.…

Theoretical Economics · Economics 2024-07-22 Wanying Huang , Philipp Strack , Omer Tamuz

Rodents serve as an important model for examining both individual and collective behavior. Dominance within rodent social structures can determine access to critical resources, such as food and mating opportunities. Yet, many aspects of the…

Quantitative Methods · Quantitative Biology 2024-08-20 Mate Nagy , Jacob D. Davidson , Gabor Vasarhelyi , Daniel Abel , Eniko Kubinyi , Ahmed El Hady , Tamas Vicsek

The importance of self-feedback autaptic transmission in modulating spike-time irregularity is still poorly understood. By using a biophysical model that incorporates autaptic coupling, we here show that self-innervation of neurons…

Neurons and Cognition · Quantitative Biology 2016-07-04 Daqing Guo , Shengdun Wu , Mingming Chen , Matjaz Perc , Yangsong Zhang , Jingling Ma , Yan Cui , Peng Xu , Yang Xia , Dezhong Yao

There is cognitive, neurological, and computational support for the hypothesis that defocusing attention results in divergent or associative thought, conducive to insight and finding unusual connections, while focusing attention results in…

Neurons and Cognition · Quantitative Biology 2019-07-02 Liane Gabora

Extracellular recordings of single neurons in primary and secondary somatosensory cortices of monkeys in vivo have shown that their firing rate can increase, decrease, or remain constant in different cells, as the external stimulus…

Neurons and Cognition · Quantitative Biology 2012-03-06 Jing Kang , Hugh P. C. Robinson , Jianfeng Feng

Models of cooperation grounded on social networks and on the ability of individuals to choose actions and partners aim to describe human social behavior. Extensive computer simulations of these models give important insight in the social…

Physics and Society · Physics 2007-05-23 Victor M. Eguluz , Martin G. Zimmermann , Camilo J. Cela-Conde , Maxi San Miguel

Complex environments provide structured yet variable sensory inputs. To best exploit information from these environments, organisms must evolve the ability to anticipate consequences of unknown stimuli, and act on these predictions. We…

Neural and Evolutionary Computing · Computer Science 2019-07-16 Lana Sinapayen , Atsushi Masumori , Ikegami Takashi

In the reinforcement learning (RL) tasks, the ability to predict receiving reward in the near or more distant future means the ability to evaluate the current state as more or less close to the target state (labelled by the reward signal).…

Neural and Evolutionary Computing · Computer Science 2023-11-10 Mikhail Kiselev

In this work we study the excitatory AMPA, and NMDA, and inhibitory GABAA receptor mediated dynamical changes in neuronal networks of neonatal rat cortex in vitro. Extracellular network-wide activity was recorded with 59 planar electrodes…

Neurons and Cognition · Quantitative Biology 2018-02-02 H. Teppola , S. Okujeni , M. -L. Linne , U. Egert

We investigate the dynamics of a neural network where each neuron evolves according to the combined effects of deterministic integrate-and-fire dynamics and purely inhibitory coupling with K randomly-chosen "neighbors". The inhibition…

Adaptation and Self-Organizing Systems · Physics 2009-11-07 P. L. Krapivsky , S. Redner

We introduce a novel approach for the quantitative assessment of the connectivity in neuronal cultures, based on the statistical mechanics of percolation on a graph. This allows us to follow the development of the culture and see the…

Disordered Systems and Neural Networks · Physics 2010-08-03 Jordi Soriano , Maria Rodrriguez Martinez , Tsvi Tlusty , Elisha Moses

Brains can process sensory information from different modalities at astonishing speed; this is surprising as the integration of inputs through the membrane of each individual neuron already causes a delayed response. Neuronal recordings…

Neurons and Cognition · Quantitative Biology 2024-08-20 Simon Brandt , Mihai Alexandru Petrovici , Walter Senn , Katharina Anna Wilmes , Federico Benitez

Neural systems process information across a broad range of intrinsic timescales, both within and across cortical areas. While such diversity is a hallmark of biological networks, its computational role in nonlinear information processing…

Neurons and Cognition · Quantitative Biology 2025-06-10 Tomoki Kurikawa