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Animals learn to predict external contingencies from experience through a process of conditioning. A natural mechanism for conditioning is stimulus substitution, whereby the neuronal response to a stimulus with no prior behavioral…

Neurons and Cognition · Quantitative Biology 2024-09-23 Pantelis Vafidis , Antonio Rangel

Adenosine 5'-triphosphate (ATP) is the nearly ubiquitous "energy currency" of living organisms, and thus is a crucial participant in the majority of enzymatic reactions. The standard models in enzyme kinetics generally ignore the temporal…

Molecular Networks · Quantitative Biology 2014-06-10 Jasmine Nirody , Padmini Rangamani

We study a pulse-coupled dynamics of excitable elements in uncorrelated scale-free networks. Regimes of self-sustained activity are found for homogeneous and inhomogeneous couplings, in which the system displays a wide variety of behaviors,…

Neurons and Cognition · Quantitative Biology 2017-03-10 P. Piedrahita , J. J. Mazo , L. M. Floría , Y. Moreno

Recent experimental advances are producing an avalanche of data on both neural connectivity and neural activity. To take full advantage of these two emerging datasets we need a framework that links them, revealing how collective neural…

Neurons and Cognition · Quantitative Biology 2020-02-27 Gabriel Koch Ocker , Krešimir Josić , Eric Shea-Brown , Michael A. Buice

In the present work, we introduce a general class of mean-field interacting nonlinear Hawkes processes modelling the reciprocal interactions between two neuronal populations, one excitatory and one inhibitory. The model incorporates two…

Probability · Mathematics 2021-05-25 Céline Duval , Eric Luçon , Christophe Pouzat

Statistical properties of environments experienced by biological signaling systems in the real world change, which necessitate adaptive responses to achieve high fidelity information transmission. One form of such adaptive response is gain…

Molecular Networks · Quantitative Biology 2012-05-01 Ilya Nemenman

We study the characteristics of weak signal detection by a recurrent neuronal network with plastic synaptic coupling. It is shown that in the presence of an asynchronous component in synaptic transmission, the network acquires selectivity…

Neurons and Cognition · Quantitative Biology 2015-05-13 Vladislav Volman , Herbert Levine

The activities and interactions of proteins that govern the cellular response to a signal generate a multitude of protein phosphorylation states and heterogeneous protein complexes. Here, using a computational model that accounts for 307…

Molecular Networks · Quantitative Biology 2007-05-23 James R. Faeder , Michael L. Blinov , Byron Goldstein , William S. Hlavacek

We present a first-order non-homogeneous Markov model for the interspike-interval density of a continuously stimulated spiking neuron. The model allows the conditional interspike-interval density and the stationary interspike-interval…

Neurons and Cognition · Quantitative Biology 2012-08-15 J. Tapson , C. Jin , A. van Schaik , R. Etienne-Cummings

Competition between synapses arises in some forms of correlation-based plasticity. Here we propose a game theory-inspired model of synaptic interactions whose dynamics is driven by competition between synapses in their weak and strong…

Disordered Systems and Neural Networks · Physics 2011-10-19 Ajaz Ahmad Bhat , Gaurang Mahajan , Anita Mehta

Neural network models comprising elements which have exclusively excitatory or inhibitory synapses are capable of a wide range of dynamic behavior, including chaos. In this paper, a simple excitatory-inhibitory neural pair, which forms the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Sitabhra Sinha , Jayanta Basak

This article presents a biological neural network model driven by inhomogeneous Poisson processes accounting for the intrinsic randomness of synapses. The main novelty is the introduction of local interactions: each firing neuron triggers…

Probability · Mathematics 2021-08-17 Maximiliano Altamirano , Roberto Cortez , Matthieu Jonckheere , Lasse Leskelä

The conventional impedance profile of a neuron can identify the presence of resonance and other properties of the neuronal response to oscillatory inputs, such as nonlinear response amplifications, but it cannot distinguish other nonlinear…

Neurons and Cognition · Quantitative Biology 2019-10-24 Rodrigo F. O. Pena , Vinicius Lima , Renan O. Shimoura , Cesar C. Ceballos , Horacio G. Rotstein , Antonio C. Roque

Regardless of the marked differences between biological and artificial neural systems, one fundamental similarity is that they are essentially dynamical systems that can learn to imitate other dynamical systems, without knowing their…

Neurons and Cognition · Quantitative Biology 2019-11-06 Zhixin Lu , Danielle S. Bassett

Many recent generative models make use of neural networks to transform the probability distribution of a simple low-dimensional noise process into the complex distribution of the data. This raises the question of whether biological networks…

Neural and Evolutionary Computing · Computer Science 2018-02-07 Hesham Mostafa , Gert Cauwenberghs

Many membrane channels and receptors exhibit adaptive, or desensitized, response to a strong sustained input stimulus, often supported by protein activity-dependent inactivation. Adaptive response is thought to be related to various…

Molecular Networks · Quantitative Biology 2015-03-13 Tamar Friedlander , Naama Brenner

Signaling networks are designed to sense an environmental stimulus and adapt to it. We propose and study a minimal model of signaling network that can sense and respond to external stimuli of varying strength in an adaptive manner. The…

Molecular Networks · Quantitative Biology 2010-09-14 Subhadip Raychaudhuri

Ensembles of phase-oscillators are known to exhibit a variety of collective regimes. Here, we show that a simple mean-field model involving two heterogenous populations of pulse-coupled oscillators, exhibits, in the strong-coupling limit, a…

Disordered Systems and Neural Networks · Physics 2024-07-12 German Mato , Antonio Politi , Alessandro Torcini

The majority of mammalian genomic transcripts do not directly code for proteins and it is currently believed that most of these are not under evolutionary constraint. However given the abundance non-coding RNA (ncRNA) and its strong…

Molecular Networks · Quantitative Biology 2016-08-22 J. M. Deutsch

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