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Creating a quantitative theory for the cortex presents challenges and raises questions. What are the significant scales--micro, meso, or macroscopic? What are the interactions--pairwise, higher order, or mean-field? And what control…

Neurons and Cognition · Quantitative Biology 2025-05-29 Nima Dehghani

In computer simulations of spiking neural networks, often it is assumed that every two neurons of the network are connected by a probability of 2\%, 20\% of neurons are inhibitory and 80\% are excitatory. These common values are based on…

Neurons and Cognition · Quantitative Biology 2015-03-06 Hamed Seyed-allaei

Dynamic functional connectivity is an effective measure for the brain's responses to continuous stimuli. We propose an inferential method to detect the dynamic changes of brain networks based on time-varying graphical models. Whereas most…

Applications · Statistics 2020-06-23 Dingjue Ji , Junwei Lu , Yiliang Zhang , Hongyu Zhao , Siyuan Gao

Global brain activity self-organizes into discrete patterns characterized by distinct behavioral observables and modes of information processing. The human thalamocortical system is a densely connected network where local neural activation…

Arrhythmias are potentially fatal disruptions to the normal heart rhythm, but their underlying dynamics is still poorly understood. Theoretical modeling is an important tool to fill this gap. Typical studies often employ detailed…

Tissues and Organs · Quantitative Biology 2022-03-08 R. V. Stenzinger , M. H. R. Tragtenberg

Multiscale modelling presents a multifaceted perspective into understanding the mechanisms of the brain and how neurodegenerative disorders like Parkinson's disease (PD) manifest and evolve over time. In this study, we propose a novel…

Neurons and Cognition · Quantitative Biology 2025-09-18 Aaron Herrera , Hina Shaheen

When very small particles are suspended in a fluid in motion, they tend to follow the flow. How such tracer particles are mixed, transported, and dispersed by turbulent flow has been successfully described by statistical models. Heavy…

Fluid Dynamics · Physics 2023-12-21 J. Bec , K. Gustavsson , B. Mehlig

We use particle dynamics simulations to probe the correlations between noise and dynamics in a variety of disordered systems, including superconducting vortices, 2D electron liquid crystals, colloids, domain walls, and granular media. The…

Superconductivity · Physics 2009-11-10 C. J. Olson Reichhardt , C. Reichhardt

Computational modeling helps neuroscientists to integrate and explain experimental data obtained through neurophysiological and anatomical studies, thus providing a mechanism by which we can better understand and predict the principles of…

Neurons and Cognition · Quantitative Biology 2023-09-22 Parvin Zarei Eskikand , David B Grayden , Tatiana Kameneva , Anthony N Burkitt , Michael R Ibbotson

Sleep is essential for the maintenance of the brain and the body, yet many features of sleep are poorly understood and mathematical models are an important tool for probing proposed biological mechanisms. The most well-known mathematical…

Neurons and Cognition · Quantitative Biology 2015-06-17 Anne C. Skeldon , Derk-Jan Dijk , Gianne Derks

Neural computation is associated with the emergence, reconfiguration and dissolution of cell assemblies in the context of varying oscillatory states. Here, we describe the complex spatio-temporal dynamics of cell assemblies through temporal…

Neurons and Cognition · Quantitative Biology 2020-01-20 Nicola Pedreschi , Christophe Bernard , Wesley Clawson , Pascale Quilichini , Alain Barrat , Demian Battaglia

Many cellular processes rely on the cell's ability to transport material to and from the nucleus. Networks consisting of many microtubules and actin filaments are key to this transport. Recently, the inhibition of intracellular transport…

Subcellular Processes · Quantitative Biology 2020-05-06 Shawn D. Ryan , Zachary McCarthy , Mykhailo Potomkin

Understanding the information processing roles of cortical circuits is an outstanding problem in neuroscience and artificial intelligence. The theoretical setting of Bayesian inference has been suggested as a framework for understanding…

Neurons and Cognition · Quantitative Biology 2018-08-06 Dileep George , Alexander Lavin , J. Swaroop Guntupalli , David Mely , Nick Hay , Miguel Lazaro-Gredilla

Minimization of cortical prediction errors has been considered a key computational goal of the cerebral cortex underlying perception, action and learning. However, it is still unclear how the cortex should form and use information about…

Neurons and Cognition · Quantitative Biology 2025-04-07 Arno Granier , Mihai A. Petrovici , Walter Senn , Katharina A. Wilmes

Strongly coupled, recurrent, balanced network models have been successful in describing and predicting many phenomena observed in cortical neural recordings. However, most balanced network models use current-based synapse models in place of…

Neurons and Cognition · Quantitative Biology 2026-05-13 Vicky Zhu , Gabriel Ocker , Robert Rosenbaum

The apparent stochasticity of in-vivo neural circuits has long been hypothesized to represent a signature of ongoing stochastic inference in the brain. More recently, a theoretical framework for neural sampling has been proposed, which…

Neurons and Cognition · Quantitative Biology 2017-03-14 Mihai A. Petrovici , Ilja Bytschok , Johannes Bill , Johannes Schemmel , Karlheinz Meier

Cortical neurons whose activity is recorded in behavioral experiments has been classified into several types such as stimulus-related neurons, delay-period neurons, and reward-related neurons. Moreover, the population activity of neurons…

Neurons and Cognition · Quantitative Biology 2018-11-27 Takuma Tanaka

The neural manifold hypothesis postulates that the activity of a neural population forms a low-dimensional manifold whose structure reflects that of the encoded task variables. In this work, we combine topological deep generative models and…

Neurons and Cognition · Quantitative Biology 2023-04-26 Francisco Acosta , Sophia Sanborn , Khanh Dao Duc , Manu Madhav , Nina Miolane

The paper describes a neural approach for modelling and control of a turbocharged Diesel engine. A neural model, whose structure is mainly based on some physical equations describing the engine behaviour, is built for the rotation speed and…

Machine Learning · Computer Science 2019-08-24 Mustapha Ouladsine , Gérard Bloch , Xavier Dovifaaz

We characterise the dynamics of neuronal activity, in terms of field theory, using neural units placed on a 2D-lattice modelling the cortical surface. The electrical activity of neuronal units was analysed with the aim of deriving a neural…

Neurons and Cognition · Quantitative Biology 2023-08-22 Gerald K. Cooray , Vernon Cooray , Karl Friston