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Neural activity exhibits a vast range of timescales that can be several fold larger than the membrane time constant of individual neurons. Two types of mechanisms have been proposed to explain this conundrum. One possibility is that large…

Neurons and Cognition · Quantitative Biology 2019-03-26 Manuel Beiran , Srdjan Ostojic

The dynamics of a membrane coupled to an active fluid on top of a substrate is considered theoretically. It is assumed that the director field of the active fluid has rotational symmetry in the membrane plane. This situation is likely to be…

Soft Condensed Matter · Physics 2020-04-08 Chia-Chun Liang , Kento Yasuda , Shigeyuki Komura , Kuo-An Wu , Hsuan-Yi Chen

This paper is an introduction to the membrane potential equation for neurons. Its properties are described, as well as sample applications. Networks of these equations can be used for modeling neuronal systems, which also process images and…

Neurons and Cognition · Quantitative Biology 2018-01-29 Matthias S. Keil

A growing body of research indicates that structural plasticity mechanisms are crucial for learning and memory consolidation. Starting from a simple phenomenological model, we exploit a mean-field approach to develop a theoretical framework…

Neurons and Cognition · Quantitative Biology 2024-06-19 Gianmarco Tiddia , Luca Sergi , Bruno Golosio

Sequential activation of neurons is a common feature of network activity during a variety of behaviors, including working memory and decision making. Previous network models for sequences and memory emphasized specialized architectures in…

Neurons and Cognition · Quantitative Biology 2016-03-16 Kanaka Rajan , Christopher D Harvey , David W Tank

Human learning is a complex phenomenon requiring flexibility to adapt existing brain function and precision in selecting new neurophysiological activities to drive desired behavior. These two attributes -- flexibility and selection -- must…

Neurons and Cognition · Quantitative Biology 2013-06-28 Danielle S. Bassett , Nicholas F. Wymbs , Mason A. Porter , Peter J. Mucha , Jean M. Carlson , Scott T. Grafton

In addition to high accuracy, robustness is becoming increasingly important for machine learning models in various applications. Recently, much research has been devoted to improving the model robustness by training with noise…

Machine Learning · Computer Science 2021-03-30 Kun-Peng Ning , Lue Tao , Songcan Chen , Sheng-Jun Huang

Signals recorded from neurons with extracellular planar sensors have a wide range of waveforms and amplitudes. This variety is a result of different physical conditions affecting the ion currents through a cellular membrane. The…

Even when driven by the same stimulus, neuronal responses are well-known to exhibit a striking level of spiking variability. In-vivo electrophysiological recordings also reveal a surprisingly large degree of variability at the subthreshold…

Neurons and Cognition · Quantitative Biology 2025-03-19 Logan A. Becker , Francois Baccelli , Thibaud Taillefumier

The paper examines the discrete-time dynamics of neuron models (of excitatory and inhibitory types) with piecewise linear activation functions, which are connected in a network. The properties of a pair of neurons (one excitatory and the…

chao-dyn · Physics 2007-05-23 Sitabhra Sinha

Predicting how the brain can be driven to specific states by means of internal or external control requires a fundamental understanding of the relationship between neural connectivity and activity. Network control theory is a powerful tool…

Neurons and Cognition · Quantitative Biology 2019-08-12 Teresa M. Karrer , Jason Z. Kim , Jennifer Stiso , Ari E. Kahn , Fabio Pasqualetti , Ute Habel , Danielle S. Bassett

We suggest a realization of a bistable non-volatile memory capacitor (memcapacitor). Its design utilizes a strained elastic membrane as a plate of a parallel-plate capacitor. The applied stress generates low and high capacitance…

Mesoscale and Nanoscale Physics · Physics 2011-09-29 J. Martinez-Rincon , Y. V. Pershin

Neurons in many brain areas can develop pronounced depolarized state of membrane potential (up state) in addition to the normal hyperpolarized down state near the resting potential. The influence of the up state on signal encoding, however,…

Neurons and Cognition · Quantitative Biology 2015-09-30 Wei Wei , Fred Wolf , Xiao-Jing Wang

Partial synchronization plays a crucial role in the functioning of neuronal networks: selective, coordinated activation of neurons enables information processing that flexibly adapts to a changing computational context. Since the structure…

Neurons and Cognition · Quantitative Biology 2025-06-17 Daniil Radushev , Olesia Dogonasheva , Boris Gutkin , Denis Zakharov

Our understanding of neural computation is founded on the assumption that neurons fire in response to a linear summation of inputs. Yet experiments demonstrate that some neurons are capable of complex functions that require interactions…

Biological Physics · Physics 2026-03-23 Christopher W. Lynn

Neuromodulatory receptors in presynaptic position have the ability to suppress synaptic transmission for seconds to minutes when fully engaged. This effectively alters the synaptic strength of a connection. Much work on neuromodulation has…

Neural and Evolutionary Computing · Computer Science 2014-05-13 Gabriele Scheler , Johann Schumann

In recent years, there has been increasing interest in developing models and tools to address the complex patterns of connectivity found in brain tissue. Specifically, this is due to a need to understand how emergent properties emerge from…

Neurons and Cognition · Quantitative Biology 2022-04-15 Sean Knight , Navjot Gadda

Membrane receptors for neuromodulators (NM) are highly regulated in their distribution and efficacy - a phenomenon which influences the individual cell's response to central signals of NM release. Even though NM receptor regulation is…

Molecular Networks · Quantitative Biology 2007-05-23 Gabriele Scheler

In complex systems, we often observe complex global behavior emerge from a collection of agents interacting with each other in their environment, with each individual agent acting only on locally available information, without knowing the…

Neural and Evolutionary Computing · Computer Science 2021-09-30 Yujin Tang , David Ha

We experimentally show that the neuron functions as a precise time-integrator, where the accumulated changes in neuronal response latencies, under complex and random stimulation patterns, are solely a function of a global quantity, the…

Neurons and Cognition · Quantitative Biology 2014-04-23 Roni Vardi , Hagar Marmari , Ido Kanter
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