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We propose a novel and efficient algorithm to model high-level topological structures of neuronal fibers. Tractography constructs complex neuronal fibers in three dimensions that exhibit the geometry of white matter pathways in the brain.…

Computer Vision and Pattern Recognition · Computer Science 2021-08-04 S. Shailja , Angela Zhang , B. S. Manjunath

To maintain homeostasis, living cells process information with networks of interacting molecules. Traditional models for cellular information processing have focused on networks of chemical reactions between molecules. Here, we describe how…

Biological Physics · Physics 2025-08-01 Arvind Murugan , David Zwicker , Charlotta Lorenz , Eric R. Dufresne

This paper describes how realistic neuromorphic networks can have their connectivity properties fully characterized in analytical fashion. By assuming that all neurons have the same shape and are regularly distributed along the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Luciano da F. Costa

Exchange of biochemical substances is essential way in establishing communication between bacterial cells. It is noticeable that all phases of the process are heavily influenced by perturbations of either internal or external parameters.…

Chaotic Dynamics · Physics 2010-08-18 Igor Balaz , Dragutin T. Mihailovic

In the study of neurons, morphology influences function. The complexity in the structure of neurons poses a challenge in the identification and analysis of similar and dissimilar neuronal cells. Existing methodologies carry out structural…

Image and Video Processing · Electrical Eng. & Systems 2018-02-21 Tamal Batabyal , Scott T. Acton

Zinc, a suspected potentiator of learning and memory, is shown to affect exocytotic release and storage in neurotransmitter-containing vesicles. Structural and size analysis of the vesicular dense core and halo using transmission electron…

Neurons and Cognition · Quantitative Biology 2020-07-08 Lin Ren , Alexander Oleinick , Irina Svir , Christian Amatore , Andrew Ewing

Here we describe an "information based exchange" model of brain function that ascribes to neocortex, basal ganglia, and thalamus distinct network functions. The model allows us to analyze whole brain system set point measures, such as the…

Neurons and Cognition · Quantitative Biology 2015-09-17 James Kozloski

This article is devoted to the mathematical modeling of migration of neuroblasts, precursor cells of neurons, along the pathway they usually follow before maturing. This pathway is determined mainly by chemotaxis and the heterogeneous…

In this paper we develop a geometrical model of functional architecture for the processing of spatio-temporal visual stimuli. The model arises from the properties of the receptive field linear dynamics of orientation and speed-selective…

Analysis of PDEs · Mathematics 2013-05-06 Davide Barbieri , Giovanna Citti , Giacomo Cocci , Alessandro Sarti

Neural models learn representations of high-dimensional data on low-dimensional manifolds. Multiple factors, including stochasticities in the training process, model architectures, and additional inductive biases, may induce different…

Machine Learning · Computer Science 2025-12-02 Hanlin Yu , Berfin Inal , Georgios Arvanitidis , Soren Hauberg , Francesco Locatello , Marco Fumero

The aim of our work is to study the effect of geometry variation on nucleation times and to address its role in the context of eukaryotic chemotaxis (i.e. the process which allows cells to identify and follow a gradient of chemical…

Statistical Mechanics · Physics 2010-02-10 Carla Bosia , Michele Caselle , Davide Corá

A communication network is a graph in which each node has only local information about the graph and nodes communicate by passing messages along its edges. Here, we consider the {\it geometric communication network} where the nodes also…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-29 Sima Hajiaghaei Shanjani , Valerie King

Local drug delivery has received much recognition in recent years, yet it is still unpredictable how drug efficacy depends on physicochemical properties and delivery kinetics. The purpose of the current study is to provide a useful…

Dynamical Systems · Mathematics 2016-01-26 Koyel Chakravarty , D C Dalal

Electrical neural signalling typically takes place at the time-scale of milliseconds, and is typically modeled using the cable equation. This is a good approximation for processes when ionic concentrations vary little during the time course…

Cell Behavior · Quantitative Biology 2014-03-05 Geir Halnes , Ivar Østby , Klas H. Pettersen , Stig W. Omholt , Gaute T. Einevoll

Cell neighbor exchanges play a critical role in regulating tissue fluidity during epithelial morphogenesis and repair. In vivo, these neighbor exchanges are often hindered by the formation of transiently stable four-fold vertices, which can…

Biological Physics · Physics 2023-10-17 Fernanda Pérez-Verdugo , Shiladitya Banerjee

It is becoming increasingly appreciated that the signal transduction systems used by eukaryotic cells to achieve a variety of essential responses represent highly complex networks rather than simple linear pathways. While significant effort…

Molecular Networks · Quantitative Biology 2009-11-10 Kevin S. Brown , Colin C. Hill , Guillermo A. Calero , Kelvin H. Lee , James P. Sethna , Richard A. Cerione

Simulations of exciton and charge hopping in amorphous organic materials involve numerous physical parameters. Each of these parameters must be computed from costly ab initio calculations before the simulation can commence, resulting in a…

The transport of biomolecules across a cell membrane is an important phenomena that plays a pivotal role in the functioning of biological cells. In this paper, we investigate such processes by modeling the translocation of polymers through…

Soft Condensed Matter · Physics 2022-11-01 Andri Sharma

This paper proposes a simple self-supervised approach for learning a representation for visual correspondence from raw video. We cast correspondence as prediction of links in a space-time graph constructed from video. In this graph, the…

Computer Vision and Pattern Recognition · Computer Science 2020-12-04 Allan Jabri , Andrew Owens , Alexei A. Efros

Tumor growth has a number of features in common with a physical process known as molecular beam epitaxy. Both growth processes are characterized by the constraint of growth development to the body border, and surface diffusion of…

Quantitative Methods · Quantitative Biology 2009-11-13 Carlos Escudero