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Variants of the Kohonen model are proposed to study biological principles of self-organization in a model of young brain. We suggest a function to measure aquired knowledge and use it to auto-adapt the topology of neuronal connectivity,…

Biological Physics · Physics 2009-11-13 Tanguy Pallaver , Helmut Kroger , Marc Parizeau

Neuronal morphology is essential for studying brain functioning and understanding neurodegenerative disorders. As acquiring real-world morphology data is expensive, computational approaches for morphology generation have been studied.…

Neurons and Cognition · Quantitative Biology 2024-05-29 Nianzu Yang , Kaipeng Zeng , Haotian Lu , Yexin Wu , Zexin Yuan , Danni Chen , Shengdian Jiang , Jiaxiang Wu , Yimin Wang , Junchi Yan

Recently, there has been increased interest in fusing multimodal imaging to better understand brain organization. Specifically, accounting for knowledge of anatomical pathways connecting brain regions should lead to desirable outcomes such…

Applications · Statistics 2018-03-02 Ixavier A. Higgins , Suprateek Kundu , Ying Guo

Traditionally, most complex intelligence architectures are extremely non-convex, which could not be well performed by convex optimization. However, this paper decomposes complex structures into three types of nodes: operators, algorithms…

Machine Learning · Computer Science 2018-01-16 Han Xiao

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

The ubiquity of topographic maps in the brain has long been known, and molecular mechanisms for the formation of topographic organization of neural systems have been revealed. Less attention has been given to the question of why are the…

Neurons and Cognition · Quantitative Biology 2018-11-13 Shigeko Takahashi

Functional brain connectivity changes dynamically over time, making its representation challenging for learning on non-Euclidean data. We present a framework that encodes dynamic functional connectivity as an image representation of…

Neurons and Cognition · Quantitative Biology 2025-11-14 Peilin He , Tananun Songdechakraiwut

We consider a model of random tree growth, where at each time unit a new vertex is added and attached to an already existing vertex chosen at random. The probability with which a vertex with degree $k$ is chosen is proportional to $w(k)$,…

Probability · Mathematics 2007-05-23 Anna Rudas , Balint Toth , Benedek Valko

Neuronal avalanche is a spontaneous neuronal activity which obeys a power-law distribution of population event sizes with an exponent of -3/2. It has been observed in the superficial layers of cortex both \emph{in vivo} and \emph{in vitro}.…

Neurons and Cognition · Quantitative Biology 2015-06-04 Xiumin Li , Michael Small

The brain is immensely complex, with diverse components and dynamic interactions building upon one another to orchestrate a wide range of functions and behaviors. Understanding patterns of these complex interactions and how they are…

Neurons and Cognition · Quantitative Biology 2024-08-06 Suman Kulkarni , Dani S. Bassett

When a neuron fires and the resulting action potential travels down its axon toward other neurons' dendrites, the effect on each of those neurons is mediated by the weight of the synapse that separates it from the firing neuron. This…

Neurons and Cognition · Quantitative Biology 2010-02-19 Andre Nathan , Valmir C. Barbosa

In a recent paper, Bassett et al. (2011) have analyzed the static and dynamic organization of functional brain networks in humans. We here focus on the first claim made in this paper, which states that the static modular structure of such…

Quantitative Methods · Quantitative Biology 2011-06-30 Cedric E. Ginestet , Jonny O'Muircheartaigh , Owen G. O'Daly , Andrew Simmons

Anatomical connectivity between different regions in the brain can be mapped to a network representation, the connectome, where the intensities of the links, the weights, influence its structural resilience and the functional processes it…

Neurons and Cognition · Quantitative Biology 2025-04-09 Laia Barjuan , Muhua Zheng , M. Ángeles Serrano

Cortical networks exhibit synchronized activity which often occurs in spontaneous events in the form of spike avalanches. Since synchronization has been causally linked to central aspects of brain function such as selective signal…

Neurons and Cognition · Quantitative Biology 2022-02-08 Maik Schünemann , Udo Ernst , Marc Kesseböhmer

Classification of biological neuron types and networks poses challenges to the full understanding of the brain's organisation and functioning. In this paper, we develop a novel objective classification model of biological neuronal types and…

Neurons and Cognition · Quantitative Biology 2020-03-31 Michael Taynnan Barros , Harun Siljak , Peter Mullen , Constantinos Papadias , Jari Hyttinen , Nicola Marchetti

Volumetric brain reconstructions provide an unprecedented opportunity to gain insights into the complex connectivity patterns of neurons in an increasing number of organisms. Here, we model and quantify the complexity of the resulting…

Neurons and Cognition · Quantitative Biology 2024-05-13 Anastasiya Salova , István A. Kovács

Computational models of neurodegeneration aim to emulate the evolving pattern of pathology in the brain during neurodegenerative disease, such as Alzheimer's disease. Previous studies have made specific choices on the mechanisms of…

Quantitative Methods · Quantitative Biology 2023-08-11 Tiantian He , Elinor Thompson , Anna Schroder , Neil P. Oxtoby , Ahmed Abdulaal , Frederik Barkhof , Daniel C. Alexander

Understanding the dynamic reorganization of brain networks is critical for predicting cognitive decline, neurological progression, and individual variability in clinical outcomes. This work proposes a multimodal graph neural network…

Machine Learning · Computer Science 2026-02-11 Preksha Girish , Rachana Mysore , Kiran K. N. , Hiranmayee R. , Shipra Prashanth , Shrey Kumar

The structure and quantitative composition of the cerebral cortex are interrelated with its computational capacity. Empirical data analyzed here indicate a certain hierarchy in local cortical composition. Specifically, neural wire, i.e.,…

Neurons and Cognition · Quantitative Biology 2015-10-29 Jan Karbowski

Structural and functional heterogeneity are hallmarks of cortical circuits, from broad degree distributions in the mouse connectome to diverse intrinsic neuronal timescales. Yet a mechanistic link between connectivity heterogeneity and…

Neurons and Cognition · Quantitative Biology 2026-03-05 Marco Zenari , Luca Taffarello , Luca Mazzucato , Amos Maritan , Samir Suweis