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Heterogeneity of firing rate statistics is known to have severe consequences on neural coding. Recent experimental recordings in weakly electric fish indicate that the distribution-width of superficial pyramidal cell firing rates (trial-…

Neurons and Cognition · Quantitative Biology 2017-08-14 Cheng Ly , Gary Marsat

We investigate a model for spatial epidemics explicitly taking into account bi-directional movements between base and destination locations on individual mobility networks. We provide a systematic analysis of generic dynamical features of…

Physics and Society · Physics 2012-03-07 Vitaly Belik , Theo Geisel , Dirk Brockmann

Estimating population-level prevalence and transmission dynamics of wildlife pathogens can be challenging, partly because surveillance data is sparse, detection-driven, and unevenly sequenced. Using highly pathogenic avian influenza A/H5…

Populations and Evolution · Quantitative Biology 2026-01-16 Haley Stone , Jing Du , Yang Yang , Ashna Desai , Rebecca Dawson , Hao Xue , David Heslop , Matthew Scotch , Andreas Züfle , C. Raina MacIntyre , Flora Salim

The study of continuous-time information diffusion has been an important area of research for many applications in recent years. When only the diffusion traces (cascades) are accessible, cascade-based network inference and influence…

Social and Information Networks · Computer Science 2024-05-22 Keke Huang , Ruize Gao , Bogdan Cautis , Xiaokui Xiao

Navigation by scent is a capability in robotic systems that is rising in demand. However, current methods often suffer from ambiguities, particularly when robots misattribute odours to incorrect objects due to limitations in olfactory…

Robotics · Computer Science 2025-09-23 Kordel K. France , Ovidiu Daescu

Using an exactly solvable cortical model of a neuronal network, we show that, by increasing the intensity of shot noise (flow of random spikes bombarding neurons), the network undergoes first- and second-order non-equilibrium phase…

Biological Physics · Physics 2015-08-26 K. -E. Lee , M. A. Lopes , A. V. Goltsev

Animal behavior and neural recordings show that the brain is able to measure both the intensity of an odor and the timing of odor encounters. However, whether intensity or timing of odor detections is more informative for olfactory-driven…

Quantitative Methods · Quantitative Biology 2021-06-17 Nicola Rigolli , Nicodemo Magnoli , Lorenzo Rosasco , Agnese Seminara

Data-driven techniques are being increasingly applied to complement physics-based models in fire science. However, the lack of sufficiently large datasets continues to hinder the application of certain machine learning techniques. In this…

Machine Learning · Computer Science 2024-08-21 Xin Tong , Bryan Quaife

Networks - collections of interacting elements or nodes - abound in the natural and manmade worlds. For many networks, complex spatiotemporal dynamics stem from patterns of physical interactions unknown to us. To infer these interactions,…

Quantitative Methods · Quantitative Biology 2015-05-13 Mark A. Kramer , Uri T. Eden , Sydney S. Cash , Eric D. Kolaczyk

How intelligence emerges from living beings has been a fundamental question in neuroscience. However, it remains largely unanswered due to the complex neuronal dynamics and intricate connections between neurons in real neural systems. To…

Neurons and Cognition · Quantitative Biology 2024-09-04 Xiaoyu Zhang , Pengcheng Yang , Jiawei Feng , Qiang Luo , Wei Lin , Xin Lu

One of the most important challenges in mathematical neuroscience is to properly illustrate the stochastic nature of neurons. Among different approaches, the noisy leaky integrate-and-fire and the escape rate models are probably the most…

Analysis of PDEs · Mathematics 2017-02-07 Grégory Dumont , Jacques Henry , Carmen Oana Tarniceriu

An ubiquitous property of biological sensory systems is adaptation: a step increase in stimulus triggers an initial change in a biochemical or physiological response, followed by a more gradual relaxation toward a basal, pre-stimulus level.…

Systems and Control · Computer Science 2015-06-04 Maja Skataric , Eduardo Sontag

Network inference, the task of reconstructing interactions in a complex system from experimental observables, is a central yet extremely challenging problem in systems biology. While much progress has been made in the last two decades,…

Quantitative Methods · Quantitative Biology 2024-09-12 Stephen Y Zhang

The dynamics of complex-valued fractional-order neuronal networks are investigated, focusing on stability, instability and Hopf bifurcations. Sufficient conditions for the asymptotic stability and instability of a steady state of the…

Dynamical Systems · Mathematics 2017-03-21 Eva Kaslik , Ileana Rodica Radulescu

The vibrational theory of olfaction was posited to explain subtle effects in the sense of smell inexplicable by models in which molecular structure alone determines an odorant's smell. Amazingly, behavioral and neurophysiological evidence…

Biological Physics · Physics 2019-05-01 Nishattasnim Liza , Enrique P. Blair

Motivated by a stochastic differential equation describing the dynamics of interfaces, we study the bifurcation behavior of a more general class of such equations. These equations are characterized by a 2-dimensional phase space (describing…

Chaotic Dynamics · Physics 2012-04-11 Stewart E. Barnes , Jean-Pierre Eckmann , Thierry Giamarchi , Vivien Lecomte

An exact low-dimensional system of mean-field equations for an infinite-size network of pulse coupled integrate-and-fire neurons with a bimodal distribution of an excitability parameter is derived. Bifurcation analysis of these equations…

Chaotic Dynamics · Physics 2021-10-04 Viktoras Pyragas , Kestutis Pyragas

We propose a simple adaptive-network model describing recent swarming experiments. Exploiting an analogy with human decision making, we capture the dynamics of the model by a low-dimensional system of equations permitting analytical…

Disordered Systems and Neural Networks · Physics 2011-07-15 Cristián Huepe , Gerd Zschaler , Anne-Ly Do , Thilo Gross

Animals are known to make efficient probabilistic inferences based on uncertain and noisy information from the outside world. Although it is known that generic neural networks can perform near-optimal point estimation by probabilistic…

Neurons and Cognition · Quantitative Biology 2021-11-10 Kohei Ichikawa , Asaki Kataoka

Research on network mechanisms and coding properties of grid cells assume that the firing rate of a grid cell in each of its fields is the same. Furthermore, proposed network models predict spatial regularities in the firing of inhibitory…

Neurons and Cognition · Quantitative Biology 2017-01-19 Benjamin Dunn , Daniel Wennberg , Ziwei Huang , Yasser Roudi
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