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Large-scale systems with inherent heterogeneity often exhibit complex dynamics that are crucial for their functional properties. However, understanding how such heterogeneity shapes these dynamics remains a significant challenge,…

Chaotic Dynamics · Physics 2024-12-16 Futa Tomita , Jun-nosuke Teramae

Neural correlations play a critical role in sensory information coding. They are of two kinds: signal correlations, when neurons have overlapping sensitivities, and noise correlations from network effects and shared noise. In experiments…

Neurons and Cognition · Quantitative Biology 2025-07-03 Gabriel Mahuas , Thomas Buffet , Olivier Marre , Ulisse Ferrari , Thierry Mora

We develop a simple, time-dependent Comptonization model to probe the origins of spectral variability in accreting neutron star systems. In the model, soft ``seed photons'' are injected into a corona of hot electrons, where they are Compton…

Astrophysics · Physics 2009-10-30 Hyong C. Lee , Guy S. Miller

Populations of spiking neuron models have densities of their microscopic variables (e.g., single-cell membrane potentials) whose evolution fully capture the collective dynamics of biological networks, even outside equilibrium. Despite its…

Neurons and Cognition · Quantitative Biology 2021-11-08 Gianni V. Vinci , Maurizio Mattia

Dormancy is a widespread adaptive strategy that enables populations to persist in fluctuating environments, yet how its benefits depend on the temporal structure of environmental variability remains unclear. We examine how dormancy…

Populations and Evolution · Quantitative Biology 2025-12-08 Jorge Hidalgo , Lorenzo Fant , Rafael Rubio de Casas , Miguel A. Muñoz

Neurons in the dorsal subregion of the medial superior temporal (MSTd) area respond to large, complex patterns of retinal flow, implying a role in the analysis of self-motion. Some neurons are selective for the expanding radial motion that…

Neurons and Cognition · Quantitative Biology 2017-02-24 Michael Beyeler , Nikil Dutt , Jeffrey L. Krichmar

Neurophysiologists are nowadays able to record from a large number of extracellular electrodes and to extract, from the raw data, the sequences of action potentials or spikes generated by many neurons. Unfortunately these ''many neurons''…

Applications · Statistics 2026-04-22 Pierre Charitat , Ségolen Geffray , Christophe Pouzat

Cortical slow oscillations occur in the mammalian brain during deep sleep and have been shown to contribute to memory consolidation, an effect that can be enhanced by electrical stimulation. As the precise underlying working mechanisms are…

Neurons and Cognition · Quantitative Biology 2013-12-31 Arne Weigenand , Thomas Martinetz , Jens Christian Claussen

Expectations can substantially influence perception. Predictive coding is a theory of sensory processing that aims to explain the neural mechanisms underlying the effect of expectations in sensory processing. Its main assumption is that…

Neurons and Cognition · Quantitative Biology 2022-11-24 Jasmin Stein , Katharina von Kriegstein , Alejandro Tabas

Population protocols are a model of distributed computation in which an arbitrary number of indistinguishable finite-state agents interact in pairs to decide some property of their initial configuration. We investigate the behaviour of…

Formal Languages and Automata Theory · Computer Science 2024-12-17 Benno Lossin , Philipp Czerner , Javier Esparza , Roland Guttenberg , Tobias Prehn

How neural networks in the human brain represent commonsense knowledge, and complete related reasoning tasks is an important research topic in neuroscience, cognitive science, psychology, and artificial intelligence. Although the…

Neural and Evolutionary Computing · Computer Science 2022-07-13 Hongjian Fang , Yi Zeng , Jianbo Tang , Yuwei Wang , Yao Liang , Xin Liu

Foundation models in genomics have shown mixed success compared to their counterparts in natural language processing. Yet, the reasons for their limited effectiveness remain poorly understood. In this work, we investigate the role of…

Machine Learning · Computer Science 2026-04-07 Maxime Rochkoulets , Lovro Vrček , Mile Šikić

Large networks of sparsely coupled, excitatory and inhibitory cells occur throughout the brain. A striking feature of these networks is that they are chaotic. How does this chaos manifest in the neural code? Specifically, how variable are…

Neurons and Cognition · Quantitative Biology 2014-02-25 Guillaume Lajoie , Jean-Philippe Thivierge , Eric Shea-Brown

At the macroscale, the brain operates as a network of interconnected neuronal populations, which display rhythmic dynamics that support interareal communication. Understanding how stimulation of a particular brain area impacts such…

Neurons and Cognition · Quantitative Biology 2020-11-12 Lia Papadopoulos , Christopher W. Lynn , Demian Battaglia , Danielle S. Bassett

Cells often have tens of thousands of receptors, even though only a few activated receptors can trigger full cellular responses. Reasons for the overabundance of receptors remain unclear. We suggest that, in certain conditions, the large…

Molecular Networks · Quantitative Biology 2014-02-04 Xiang Cheng , Lina Merchan , Martin Tchernookov , Ilya Nemenman

We are interested in characterization of synchronization transitions of bursting neurons in the frequency domain. Instantaneous population firing rate (IPFR) $R(t)$, which is directly obtained from the raster plot of neural spikes, is often…

Neurons and Cognition · Quantitative Biology 2014-10-08 Sang-Yoon Kim , Woochang Lim

Research aimed at scaling up neuroscience inspired learning algorithms for neural networks is accelerating. Recently, a key research area has been the study of energy-based learning algorithms such as predictive coding, due to their…

Machine Learning · Computer Science 2026-01-30 Luca Pinchetti , Simon Frieder , Thomas Lukasiewicz , Tommaso Salvatori

The strong Allee effect plays an important role on the evolution of population in ecological systems. One important concept is the Allee threshold that determines the persistence or extinction of the population in a long time. In general, a…

Analysis of PDEs · Mathematics 2024-08-05 Fanze Kong , Juncheng Wei

One of the most challenging problems in microbiology is to understand how a small fraction of microbes that resists killing by antibiotics can emerge in a population of genetically identical cells, the phenomenon known as persistence or…

Subcellular Processes · Quantitative Biology 2015-06-17 Andrea Rocco , Andrzej M. Kierzek , Johnjoe McFadden

Computational models of cortical activity provide insight into the mechanisms of higher-order processing in the human brain including planning, perception and the control of movement. Activity in the cortex is ongoing even in the absence of…

Neurons and Cognition · Quantitative Biology 2023-07-07 Lysea Haggie , Thor Besier , Angus McMorland