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Neuronal networks constitute a special class of dynamical systems, as they are formed by individual geometrical components, namely the neurons. In the existing literature, relatively little attention has been given to the influence of…

Neurons and Cognition · Quantitative Biology 2015-05-13 Sebastian Ahnert , Luciano da Fontoura Costa

Parkinson disease (PD) is marked by progressive neurodegeneration, yet early and subtle structural alterations in brain tissue remain difficult to detect with conventional imaging and analytical methods. Fractal and multifractal frameworks…

Medical Physics · Physics 2025-12-09 Santanu Maity , Mousa Alrubayan , Mohammad Moshahid Khan , Prabhakar Pradhan

One of the essential tasks in connectomics is the morphology analysis of neurons and organelles like mitochondria to shed light on their biological properties. However, these biological objects often have tangled parts or complex branching…

Computer Vision and Pattern Recognition · Computer Science 2020-04-22 Abhimanyu Talwar , Zudi Lin , Donglai Wei , Yuesong Wu , Bowen Zheng , Jinglin Zhao , Won-Dong Jang , Xueying Wang , Jeff W. Lichtman , Hanspeter Pfister

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

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

Disordered Systems and Neural Networks · Physics 2007-05-23 Luciano da Fontoura Costa , Marconi Soares Barbosa

We show that when cells communicate by contact-mediated interactions, heterogeneity in cell shapes and sizes leads to qualitatively distinct collective behavior in the tissue. For inter-cellular coupling that implements lateral inhibition,…

Tissues and Organs · Quantitative Biology 2023-01-10 Chandrashekar Kuyyamudi , Shakti N. Menon , Sitabhra Sinha

It is essential to understand the complex structure of the human brain to develop new treatment approaches for neurodegenerative disorders (NDDs). This review paper comprehensively discusses the challenges associated with modelling the…

Neurons and Cognition · Quantitative Biology 2024-11-01 Hina Shaheen , Roderick Melnik

Shape graphs are complex geometrical structures commonly found in biological and anatomical systems. A shape graph is a collection of nodes, some connected by curvilinear edges with arbitrary shapes. Their high complexity stems from the…

Computation · Statistics 2024-09-17 Benjamin Beaudett , Anuj Srivastava

In this study we propose a deformation-based framework to jointly model the influence of aging and Alzheimer's disease (AD) on the brain morphological evolution. Our approach combines a spatio-temporal description of both processes into a…

Neurons and Cognition · Quantitative Biology 2019-05-27 Raphaël Sivera , Hervé Delingette , Marco Lorenzi , Xavier Pennec , Nicholas Ayache

Recent work in cognitive neuroscience has focused on analyzing the brain as a network, rather than as a collection of independent regions. Prior studies taking this approach have found that individual differences in the degree of modularity…

Neurons and Cognition · Quantitative Biology 2017-11-28 Qiuhai Yue , Randi Martin , Simon Fischer-Baum , Aurora I. Ramos-Nuñez , Fengdan Ye , Michael W. Deem

The integration and transmission of information in the brain are dependent on the interplay between structural and dynamical properties. Implicit in any pursuit aimed at understanding neural dynamics from appropriate sets of mathematically…

Neurons and Cognition · Quantitative Biology 2020-06-30 Joshua M. Roldan , Sebastian Pardo G. , Vivek Kurien George , Gabriel A. Silva

Recent developments in network neuroscience have highlighted the importance of developing techniques for analyzing and modeling brain networks. A particularly powerful approach for studying complex neural systems is to formulate generative…

Neurons and Cognition · Quantitative Biology 2022-09-09 Viplove Arora , Enrico Amico , Joaquín Goñi , Mario Ventresca

Brain imaging has allowed neuroscientists to analyze brain morphology in genetic and neurodevelopmental disorders, such as Down syndrome, pinpointing regions of interest to unravel the neuroanatomical underpinnings of cognitive impairment…

Computer Vision and Pattern Recognition · Computer Science 2024-09-23 Jordi Malé , Juan Fortea , Mateus Rozalem Aranha , Yann Heuzé , Neus Martínez-Abadías , Xavier Sevillano

Gene expression represents a fundamental interface between genes and environment in the development and ongoing plasticity of the human organism. Individual differences in gene expression are likely to underpin much of human diversity,…

Genomics · Quantitative Biology 2019-05-31 Akram Yazdani , Raul Mendez Giraldez , Ahmad Samiei

Diseases involve complex processes and modifications to the cellular machinery. The gene expression profile of the affected cells contains characteristic patterns linked to a disease. Hence, biological knowledge pertaining to a disease can…

Quantitative Methods · Quantitative Biology 2020-04-13 Thomas Gaudelet , Noel Malod-Dognin , Jon Sanchez-Valle , Vera Pancaldi , Alfonso Valencia , Natasa Przulj

The compartmental model is a basic tool for studying signal propagation in neurons, and, if the model parameters are adequately defined, it can also be of help in the study of electrical or fluid transport. Here we show that the input…

Cell Behavior · Quantitative Biology 2007-05-23 E. Louis C. Degli Esposti Boschi G. J. Ortega E. Fernandez

Rapid advance of experimental techniques provides an unprecedented in-depth view into complex developmental processes. Still, little is known on how the complexity of multicellular organisms evolved by elaborating developmental programs and…

Molecular Networks · Quantitative Biology 2021-07-16 Somya Mani , Tsvi Tlusty

Structured neuron encapsulation introduces a modular framework that enables more effective aggregation and specialization of information within deep learning architectures. A model modified through this framework demonstrated improved…

Modern artificial neural networks, including convolutional neural networks and vision transformers, have mastered several computer vision tasks, including object recognition. However, there are many significant differences between the…

Computer Vision and Pattern Recognition · Computer Science 2023-01-26 Tiago Oliveira , Tiago Marques , Arlindo L. Oliveira

This article presents formalistic tool for description of structural and biochemical relations between cells in the course of development of the body of plants. This is flexible formalistic space, based on the Category theory and the Petri…

Tissues and Organs · Quantitative Biology 2017-02-16 I. V. Rudskiy