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We develop a mathematical model of information transmission across the biological neural network of the human brain. The overall function of the brain consists of the emergent processes resulting from the spread of information through the…

生物物理 · 物理学 2018-01-22 Stefanie Heyden , Michael Ortiz

Axonal connections in the mouse brain show exponential scaling in the number of connections with their length, recently referred to as the exponential distance rule (EDR). This work investigates the theoretical and experimental background…

生物物理 · 物理学 2024-02-23 Máté Józsa , Zsolt I. Lázár , Mária Ercsey-Ravasz

The brain is an assembly of neuronal populations interconnected by structural pathways. Brain activity is expressed on and constrained by this substrate. Therefore, statistical dependencies between functional signals in directly connected…

神经元与认知 · 定量生物学 2019-09-11 Maria Giulia Preti , Dimitri Van De Ville

At large, most animal brains present two mirror-symmetric sides; but closer inspection reveals a range of asymmetries (in shape and function), that seem more salient in more cognitively complex species. Sustaining symmetric, redundant…

神经元与认知 · 定量生物学 2021-12-02 Luís F Seoane

The organization of the connectivity between mammalian cortical areas has become a major subject of study, because of its important role in scaffolding the macroscopic aspects of animal behavior and intelligence. In this study we present a…

神经元与认知 · 定量生物学 2007-05-23 Luciano da F Costa , Marcus Kaiser , Claus C Hilgetag

In studying structural inter-connections in the human brain, it is common to first estimate fiber bundles connecting different regions of the brain relying on diffusion MRI. These fiber bundles act as highways for neural activity and…

应用统计 · 统计学 2016-12-06 Zhengwu Zhang , Maxime Descoteaux , David B. Dunson

Background: Information processing in the brain requires large amounts of metabolic energy, the spatial distribution of which is highly heterogeneous reflecting complex activity patterns in the mammalian brain. Results: Here, it is found…

神经元与认知 · 定量生物学 2007-05-23 Jan Karbowski

Neural connectivity at the cellular and mesoscopic level appears very specific and is presumed to arise from highly specific developmental mechanisms. However, there are general shared features of connectivity in systems as different as the…

神经元与认知 · 定量生物学 2009-12-06 Marcus Kaiser , Claus C. Hilgetag , Arjen van Ooyen

It is shown that a Hopfield recurrent neural network exhibits a scaling regime, whose specific exponents depend on the number of parcels used and the decay length of the coupling strength. This scaling regime recovers the picture introduced…

无序系统与神经网络 · 物理学 2025-02-17 Giorgio Gosti , Sauro Succi , Giancarlo Ruocco

This paper represents a contribution to the study of the brain functional connectivity from the perspective of complex networks theory. More specifically, we apply graph theoretical analyses to provide evidence of the modular structure of…

神经元与认知 · 定量生物学 2016-09-06 Giampiero Bardella , Angelo Bifone , Andrea Gabrielli , Alessandro Gozzi , Tiziano Squartini

Much of the genome is expressed in the vertebrate brain, with individual genes exhibiting different spatially-varying patterns of expression. These variations are not independent, with pairs of genes exhibiting complex patterns of…

The analysis of complex networks has revealed patterns of organization in a variety of natural and artificial systems, including neuronal networks of the brain at multiple scales. In this paper, we describe a novel analysis of the…

神经元与认知 · 定量生物学 2015-06-26 Luciano da F. Costa , Olaf Sporns

Primates utilize distributed neural circuits to learn habits in uncertain environments, but the underlying mechanisms remain poorly understood. We propose a formal theory of network energetics explaining how brain states influence…

Databases of directed- and weighted- connectivity for mouse, macaque and marmoset monkeys, have recently become available and begun to be used to build dynamical models. A hierarchical organization can be defined based on laminar patterns…

神经元与认知 · 定量生物学 2020-08-11 Xiao-Jing Wang , Ulises Pereira , Marcello G. P. Rosa , Henry Kennedy

Quantification of brain morphology has become an important cornerstone in understanding brain structure. Measures of cortical morphology such as thickness and surface area are frequently used to compare groups of subjects or characterise…

We model the growth of a cell population by a piecewise deterministic Markov branching tree. Each cell splits into two offsprings at a division rate $B(x)$ that depends on its size $x$. The size of each cell grows exponentially in time, at…

概率论 · 数学 2015-05-29 Marie Doumic , Marc Hoffmann , Nathalie Krell , Lydia Robert

The structural human connectome (i.e.\ the network of fiber connections in the brain) can be analyzed at ever finer spatial resolution thanks to advances in neuroimaging. Here we analyze several large data sets for the human brain network…

神经元与认知 · 定量生物学 2016-06-08 Michael T. Gastner , Géza Ódor

Artificial and biological systems may evolve similar computational solutions despite fundamental differences in architecture and learning mechanisms -- a form of convergent evolution. We demonstrate this phenomenon through large-scale…

神经元与认知 · 定量生物学 2025-07-04 Guobin Shen , Dongcheng Zhao , Yiting Dong , Qian Zhang , Yi Zeng

Anatomical connectivity imposes strong constraints on brain function, but there is no general agreement about principles that govern its organization. Based on extensive quantitative data we tested the power of three models to predict…

神经元与认知 · 定量生物学 2016-05-31 Sarah F. Beul , Helen Barbas , Claus C. Hilgetag

An essential premise for neuroscience brain network analysis is the successful segmentation of the cerebral cortex into functionally homogeneous regions. Resting-state functional magnetic resonance imaging (rs-fMRI), capturing the…

神经元与认知 · 定量生物学 2023-09-20 Xiaoxiao Ma , Chunzhi Yi , Zhicai Zhong , Hui Zhou , Baichun Wei , Haiqi Zhu , Feng Jiang