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Codifying memories is one of the fundamental problems of modern Neuroscience. The functional mechanisms behind this phenomenon remain largely unknown. Experimental evidence suggests that some of the memory functions are performed by…

Neurons and Cognition · Quantitative Biology 2022-05-17 Ivan Y. Tyukin , Alexander N. Gorban , Carlos Calvo , Julia Makarova , Valeri A. Makarov

We apply an information theoretic treatment of action potential time series measured with microelectrode arrays to estimate the connectivity of mammalian neuronal cell assemblies grown {\it in vitro}. We infer connectivity between two…

Neurons and Cognition · Quantitative Biology 2007-05-23 Luis M. A. Bettencourt , Greg J. Stephens , Michael I. Ham , Guenter W. Gross

The exact shape of intracranial aneurysms is critical in medical diagnosis and surgical planning. While voxel-based deep learning frameworks have been proposed for this segmentation task, their performance remains limited. In this study, we…

Image and Video Processing · Electrical Eng. & Systems 2021-07-06 Xi Yang , Ding Xia , Taichi Kin , Takeo Igarashi

We propose a differential geometric model of hypercolumns in the primary visual cortex V1 that combines features of the symplectic model of the primary visual cortex by A. Sarti, G. Citti and J. Petitot and of the spherical model of…

Neurons and Cognition · Quantitative Biology 2024-10-29 D. V. Alekseevsky , A. Spiro

Grid cells in the brain respond when an animal occupies a periodic lattice of "grid fields" during spatial navigation. The grid scale varies along the dorso-ventral axis of the entorhinal cortex. We propose that the grid system minimizes…

Neurons and Cognition · Quantitative Biology 2018-05-14 Xue-Xin Wei , Jason Prentice , Vijay Balasubramanian

The use of cortical field potentials rather than the details of spike trains as the basis for cognitive information processing is proposed. This results in a space of cognitive elements with natural metrics. Sets of spike trains may also be…

Disordered Systems and Neural Networks · Physics 2016-08-31 Henry C. Tuckwell

We consider a cellular monolayer, described using a vertex-based model, for which cells form a spatially disordered array of convex polygons that tile the plane. Equilibrium cell configurations are assumed to minimize a global energy…

Cell Behavior · Quantitative Biology 2018-05-30 Alexander Nestor-Bergmann , Emma Johns , Sarah Woolner , Oliver E. Jensen

In the mammalian brain newly acquired memories depend on the hippocampus for maintenance and recall, but over time these functions are taken over by the neocortex through a process called systems consolidation. However, reactivation of a…

Neurons and Cognition · Quantitative Biology 2019-03-29 Peter Helfer , Thomas R. Shultz

By way of explaining how a brain works logically, human associative memory is modeled with logical and memory neurons, corresponding to standard digital circuits. The resulting cognitive architecture incorporates basic psychological…

Artificial Intelligence · Computer Science 2008-05-21 J. R. Burger

Hippocampal neurons track positions of self, others, and gaze direction. However, it is unclear how their respective neural codes differ enough to avoid confusion while allowing for abstraction. We recorded from populations of hippocampal…

Human brain contains about 10 billion neurons, each of which has about 10~10,000 nerve endings from which neurotransmitters are released in response to incoming spikes, and the released neurotransmitters then bind to receptors located in…

Neurons and Cognition · Quantitative Biology 2012-03-06 Xuejuan Zhang , Jianfeng Feng

A simulation model for the spread and control of lesions in the brain is constructed using a planar network (graph) representation for the Central Nervous System (CNS). The model is inspired by the lesion structures observed in the case of…

Biological Physics · Physics 2007-08-27 T. R. Krishna Mohan

Understanding the structure of the brain, and how it changes with time and disease, is a core goal of structural neuroimaging. Contemporary approaches to structural brain analysis are dominated by voxel-wise, mass-univariate methods such as…

Algebraic Topology · Mathematics 2026-04-28 Donato Quiccione , Mariam Pirashvili , Nathan Broomhead , Sean J. Fallon

Neural or cortical fields are continuous assemblies of mesoscopic models, also called neural masses, of neural populations that are fundamental in the modeling of macroscopic parts of the brain. Neural fields are described by nonlinear…

Dynamical Systems · Mathematics 2010-09-22 Romain Veltz , Olivier Faugeras

In this paper we will focus on the potential and on the challenges associated with the development of an integrated brain and spinal cord modelling framework for processing MR neuroimaging data. The aim of the work is to explore how a…

Computer Vision and Pattern Recognition · Computer Science 2017-07-06 Claudia Blaiotta , Patrick Freund , M. Jorge Cardoso , John Ashburner

We present a systematic study of the influence of cell geometry on the orientational distribution of microtubules (MTs) nucleated from a single microtubule organizing center (MTOC). For simplicity we consider an elliptical cell geometry, a…

Biomolecules · Quantitative Biology 2022-11-30 Panayiotis Foteinopoulos , Bela M. Mulder

Clustering observations across partially exchangeable groups of data is a routine task in Bayesian nonparametrics. Previously proposed models allow for clustering across groups by sharing atoms in the group-specific mixing measures.…

Methodology · Statistics 2025-10-17 Alessandro Carminati , Mario Beraha , Federico Camerlenghi , Alessandra Guglielmi

Cytoarchitectonic parcellations of the human brain serve as anatomical references in multimodal atlas frameworks. They are based on analysis of cell-body stained histological sections and the identification of borders between brain areas.…

Computer Vision and Pattern Recognition · Computer Science 2023-06-06 Hannah Spitzer , Kai Kiwitz , Katrin Amunts , Stefan Harmeling , Timo Dickscheid

Although normal homologous brain structures are approximately symmetrical by definition, they also have shape differences due to e.g. natural ageing. On the other hand, neurodegenerative conditions induce their own changes in this…

Neurons and Cognition · Quantitative Biology 2023-06-29 Duilio Deangeli , Emmanuel Iarussi , Juan Pablo Princich , Mariana Bendersky , Ignacio Larrabide , José Ignacio Orlando

A method is presented for the reduction of morphologically detailed microcircuit models to a point-neuron representation without human intervention. The simplification occurs in a modular workflow, in the neighborhood of a user specified…