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A deep understanding of the dynamics of the human nervous system requires the simultaneous study of multiple spatiotemporal scales from the level of neurotransmitters up to the level of human cultures. This is likely impossible for…

Neurons and Cognition · Quantitative Biology 2023-01-24 William Sulis

Based on measurements of the Internet topology data, we found out that there are two mechanisms which are necessary for the correct modeling of the Internet topology at the Autonomous Systems (AS) level: the Interactive Growth of new nodes…

Networking and Internet Architecture · Computer Science 2009-09-29 Shi Zhou , Raul J. Mondragon

Molecular odor prediction is the process of using a molecule's structure to predict its smell. While accurate prediction remains challenging, AI models can suggest potential odors. Existing methods, however, often rely on basic descriptors…

Machine Learning · Computer Science 2025-05-02 Hong Xin Xie , Jian De Sun , Fan Fu Xue , Zi Fei Han , Shan Shan Feng , Qi Chen

We study numerically and analytically first- and second-order phase transitions in neuronal networks stimulated by shot noise (a flow of random spikes bombarding neurons). Using an exactly solvable cortical model of neuronal networks on…

Neurons and Cognition · Quantitative Biology 2015-08-25 K. -E. Lee , M. A. Lopes , J. F. F. Mendes , A. V. Goltsev

The reshaping and decorrelation of similar activity patterns by neuronal networks can enhance their discriminability, storage, and retrieval. How can such networks learn to decorrelate new complex patterns, as they arise in the olfactory…

Neurons and Cognition · Quantitative Biology 2015-06-04 Siu-Fai Chow , Stuart D. Wick , Hermann Riecke

Oxygen concentration in tumor micro-environment is a well-established signal that can induce aggressive cancer behaviour. In particular, low oxygen levels (hypoxia) activate the Hypoxia-Inducible Factor(HIF) pathway which has an array of…

Quantitative Methods · Quantitative Biology 2025-03-11 Viktor Gilin , Sanne Laauwen , Yuying Xia , Noria Yousufi , Lu Cao

We investigate a large ensemble of Quadratic Integrate-and-Fire (QIF) neurons with heterogeneous input currents and adaptation variables. Our analysis reveals that for a specific class of adaptation, termed quadratic spike-frequency…

Neurons and Cognition · Quantitative Biology 2026-03-19 Bastian Pietras , Pau Clusella , Ernest Montbrió

We perform an analytical sensitivity analysis for a model of a continuous-time branching process evolving on a fixed network. This allows us to determine the relative importance of the model parameters to the growth of the population on the…

Physics and Society · Physics 2015-09-08 Sophie Hautphenne , Gautier Krings , Jean-Charles Delvenne , Vincent D. Blondel

Inferring network topology from dynamical observations is a fundamental problem pervading research on complex systems. Here, we present a simple, direct method to infer the structural connection topology of a network, given an observation…

Chaotic Dynamics · Physics 2015-05-19 Srinivas Gorur Shandilya , Marc Timme

With respect to biological findings underlying fly's physiology in the past decade, we present a directionally selective neural network, with a feed-forward structure and entirely low-level visual processing, so as to implement direction…

Neural and Evolutionary Computing · Computer Science 2018-08-24 Qinbing Fu , Nicola Bellotto , Shigang Yue

Networked dynamical systems are common throughout science in engineering; e.g., biological networks, reaction networks, power systems, and the like. For many such systems, nonlinearity drives populations of identical (or near-identical)…

Dynamical Systems · Mathematics 2023-02-10 James Koch , Zhao Chen , Aaron Tuor , Jan Drgona , Draguna Vrabie

We consider networks of dynamical units that evolve in time according to different laws, and are coupled to each other in highly irregular ways. Studying how to steer the dynamics of such systems towards a desired evolution is of great…

Physics and Society · Physics 2020-12-01 Ricardo Gutiérrez , Massimo Materassi , Stefano Focardi , Stefano Boccaletti

We analyze properties of the firing map, which iterations give information about consecutive spikes, for periodically driven linear integrate-and-fire models. By considering locally integrable (thus in general not continuous) input…

Dynamical Systems · Mathematics 2013-04-12 Wacław Marzantowicz , Justyna Signerska

In this paper we construct a learning architecture for high dimensional time series sampled by sensor arrangements. Using a redundant wavelet decomposition on a graph constructed over the sensor locations, our algorithm is able to construct…

Artificial Intelligence · Computer Science 2016-02-16 Leonid Gugel , Yoel Shkolnisky , Shai Dekel

In a generic neuron model, we present the linear response theory for the firing rate in response to both time dependent input currents and noise amplitudes. In both cases the signal transmission is strongly attenuated for frequencies above…

Biological Physics · Physics 2007-05-23 Bjoern Naundorf , Theo Geisel , Fred Wolf

The Network of Noisy Leaky Integrate and Fire (NNLIF) model describes the behavior of a neural network at mesoscopic level. It is one of the simplest self-contained mean-field models considered for that purpose. Even so, to study the…

Analysis of PDEs · Mathematics 2017-06-15 María J. Cáceres , Ricarda Schneider

Network science investigates the architecture of complex systems to understand their functional and dynamical properties. Structural patterns such as communities shape diffusive processes on networks. However, these results hold under the…

Physics and Society · Physics 2015-06-26 Jean-Charles Delvenne , Renaud Lambiotte , Luis E. C. Rocha

Mitochondrial networks exhibit a variety of complex behaviors, including coordinated cell-wide oscillations of energy states as well as a phase transition (depolarization) in response to oxidative stress. Since functional and structural…

Adaptation to environmental change is a common property of biological systems. Cells initially respond to external changes in the environment, but after some time, they regain their original state. By considering an element consisting of…

Biological Physics · Physics 2015-05-13 Masayo Inoue , Kunihiko Kaneko

The frog model is an interacting particle system on a graph. Active particles perform independent simple random walks, while sleeping particles remain inert until visited by an active particle. Some number of sleeping particles are placed…

Probability · Mathematics 2019-06-12 Tobias Johnson , Leonardo T. Rolla
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