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This review provides a dynamical systems perspective on psychiatric symptoms and disease, and discusses its potential implications for diagnosis, prognosis, and treatment. After a brief introduction into the theory of dynamical systems, we…

Neurons and Cognition · Quantitative Biology 2018-09-18 Daniel Durstewitz , Quentin J. M. Huys , Georgia Koppe

The preB\"otzinger Complex, the mammalian inspiratory rhythm generator, encodes inspiratory time as motor pattern. Spike synchronization throughout this sparsely connected network generates inspiratory bursts albeit with variable latencies…

Neurons and Cognition · Quantitative Biology 2020-12-24 Valentin M. Slepukhin , Sufyan Ashhad , Jack L. Feldman , Alex J. Levine

Neuronal networks can generate burst events. It remains unclear how to analyse interburst periods and their statistics. We study here the phase-space of a mean-field model, based on synaptic short-term changes, that exhibit burst and…

Statistical Mechanics · Physics 2020-12-17 Lou Zonca , David Holcman

A sudden change in dynamics produces large errors leading to increases in muscle co-contraction and feedback gains during early adaptation. We previously proposed that internal model uncertainty drives these changes, whereby the…

Neurons and Cognition · Quantitative Biology 2023-12-13 Sae Franklin , David W. Franklin

Neurons communicate with downstream systems via sparse and incredibly brief electrical pulses, or spikes. Using these events, they control various targets such as neuromuscular units, neurosecretory systems, and other neurons in connected…

Neurons and Cognition · Quantitative Biology 2026-03-17 Paolo Agliati , André Urbano , Pablo Lanillos , Nasir Ahmad , Marcel van Gerven , Sander Keemink

Spiking activity of neurons engaged in learning and performing a task show complex spatiotemporal dynamics. While the output of recurrent network models can learn to perform various tasks, the possible range of recurrent dynamics that…

Neurons and Cognition · Quantitative Biology 2018-08-21 Christopher Kim , Carson Chow

Sensory systems across all modalities and species exhibit adaptation to continuously changing input statistics. Individual neurons have been shown to modulate their response gains so as to maximize information transmission in different…

Neurons and Cognition · Quantitative Biology 2023-06-01 Lyndon R. Duong , Colin Bredenberg , David J. Heeger , Eero P. Simoncelli

Major Depressive Disorder (MDD) is a highly prevalent mental health condition, and a deeper understanding of its neurocognitive foundations is essential for identifying how core functions such as emotional and self-referential processing…

In this work, we study the dynamic range of a neuronal network of excitable neurons with excitatory and inhibitory synapses. We obtain an analytical expression for the critical point as a function of the excitatory and inhibitory synaptic…

Neurons and Cognition · Quantitative Biology 2020-08-24 F S Borges , P R Protachevicz , V Santos , M S Santos , E C Gabrick , K C Iarosz , E L Lameu , M S Baptista , I L Caldas , A M Batista

Many studies have shown that the excitation and inhibition received by cortical neurons remain roughly balanced across many conditions. A key question for understanding the dynamical regime of cortex is the nature of this balancing.…

Neurons and Cognition · Quantitative Biology 2019-08-29 Yashar Ahmadian , Kenneth D. Miller

This technical note introduces parametric dynamic causal modelling, a method for inferring slow changes in biophysical parameters that control fluctuations of fast neuronal states. The application domain we have in mind is inferring slow…

Quantitative Methods · Quantitative Biology 2020-08-27 Amirhossein Jafarian , Peter Zeidman , Rob. C Wykes , Matthew Walker , Karl J. Friston

Cortical neurons emit seemingly erratic trains of action potentials or "spikes," and neural network dynamics emerge from the coordinated spiking activity within neural circuits. These rich dynamics manifest themselves in a variety of…

Neurons and Cognition · Quantitative Biology 2022-04-01 Braden A. W. Brinkman , Han Yan , Arianna Maffei , Il Memming Park , Alfredo Fontanini , Jin Wang , Giancarlo La Camera

Synaptic plasticity is the capacity of a preexisting connection between two neurons to change in strength as a function of neural activity. Because synaptic plasticity is the major candidate mechanism for learning and memory, the…

Neurons and Cognition · Quantitative Biology 2015-05-05 Maurizio De Pittà , Nicolas Brunel , Andrea Volterra

Our mysterious brain is believed to operate near a non-equilibrium point and generate critical self-organized avalanches in neuronal activity. Recent experimental evidence has revealed significant heterogeneity in both synaptic input and…

Neurons and Cognition · Quantitative Biology 2018-07-12 Shengdun Wu , Yangsong Zhang , Yan Cui , Heng Li , Jiakang Wang , Lijun Guo , Yang Xia , Dezhong Yao , Peng Xu , Daqing Guo

Neuronal circuits internally regulate electrical signaling via a host of homeostatic mechanisms. Two prominent mechanisms, synaptic scaling and structural plasticity, are believed to maintain average activity within an operating range by…

Neurons and Cognition · Quantitative Biology 2021-04-07 Saeed Aljaberi , Timothy O'Leary , Fulvio Forni

Dynamic instability in the cytoskeleton underlies a great many vital cellular processes. In neurons, it is thought to play a role in information processing and the establishment of synaptic connections. It is from this interneuronal…

Medical Physics · Physics 2019-12-19 Gweneth Andersen

We address the problem of learning feedback control where the controller is a network constructed solely of deterministic spiking neurons. In contrast to previous investigations that were based on a spike rate model of the neuron, the…

Neurons and Cognition · Quantitative Biology 2018-09-27 Tae Seung Kang , Arunava Banerjee

Cortical neurons are characterized by irregular firing and a broad distribution of rates. The balanced state model explains these observations with a cancellation of mean excitatory and inhibitory currents, which makes fluctuations drive…

Neurons and Cognition · Quantitative Biology 2020-10-15 Alessandro Sanzeni , Mark H Histed , Nicolas Brunel

Cortical populations of neurons develop sparse representations adapted to the statistics of the environment. While existing synaptic plasticity models reproduce some of the observed receptive-field properties, a major obstacle is the…

Neurons and Cognition · Quantitative Biology 2022-09-16 Carlos Stein N. Brito , Wulfram Gerstner

Biological systems use neural circuits to integrate input information and produce outputs. Synaptic convergence, where multiple neurons converge their inputs onto a single downstream neuron, is common in natural neural circuits. However,…

Mesoscale and Nanoscale Physics · Physics 2026-02-04 Wendy Otieno , Alex Gabbitas , Debi Pattnaik , Pavel Borisov , Sergey Savel'ev , Alexander G. Balanov
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