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Learning and memory may rely on the ability of neuronal circuits to reorganize by dendritic spine remodeling. We have looked for geometrical parameters of cortical circuits, which maximize information storage capacity associated with this…

Biological Physics · Physics 2007-05-23 Armen Stepanyants

A formula for an average connectivity between cortical areas in mammals is derived. Based on comparative neuroanatomical data, it is found, surprisingly, that this connectivity is either only weakly dependent or independent of brain size.…

Neurons and Cognition · Quantitative Biology 2007-05-23 Jan Karbowski

Self-organization through adaptive rewiring of random neural networks generates brain-like topologies comprising modular small-world structures with rich club effects, merely as the product of optimizing the network topology. In the nervous…

Neurons and Cognition · Quantitative Biology 2022-11-04 Jia Li , Ilias Rentzeperis , Cees van Leeuwen

It has been suggested that neural systems across several scales of organization show optimal component placement, in which any spatial rearrangement of the components would lead to an increase of total wiring. Using extensive connectivity…

Neurons and Cognition · Quantitative Biology 2007-05-23 Marcus Kaiser , Claus C. Hilgetag

A dendritic spine is a very small structure (~0.1 {\mu}m$^3$) of a neuron that processes input timing information. Why are spines so small? Here, we provide functional reasons; the size of spines is optimal for information coding. Spines…

Molecular Networks · Quantitative Biology 2014-06-18 Takuya Koumura , Hidetoshi Urakubo , Kaoru Ohashi , Masashi Fujii , Shinya Kuroda

In developing brain, axons and dendrites are capable of connecting to each other with high precision. Recent advances in imaging have allowed for the monitoring of axonal, dendritic, and synapse dynamics in vivo. It is observed that the…

Neurons and Cognition · Quantitative Biology 2008-04-08 Dmitry Tsigankov , Alexei Koulakov

The brain's connectome and the vascular system are examples of physical networks whose tangible nature influences their structure, layout, and ultimately their function. The material resources required to build and maintain these networks…

Biological Physics · Physics 2025-09-30 Xiangyi Meng , Benjamin Piazza , Csaba Both , Baruch Barzel , Albert-László Barabási

Despite differences in brain sizes and cognitive niches among mammals, their cerebral cortices posses many common features and regularities. These regularities have been a subject of experimental investigation in neuroanatomy for the last…

Neurons and Cognition · Quantitative Biology 2007-05-23 Jan Karbowski

The cerebral arteries are difficult to reproduce from first principles, featuring interwoven territories, and intricate layers of grey and white matter with differing metabolic demand. The aim of this study was to identify the ideal…

Medical Physics · Physics 2019-07-24 Jonathan Keelan , Emma M. L. Chung , James P. Hague

Mammalian brains span about 4 orders of magnitude in cortical volume and have to operate in different environments that require diverse behavioral skills. Despite these geometric and behavioral diversities, the examination of cerebral…

Neurons and Cognition · Quantitative Biology 2014-05-19 Jan Karbowski

Grid cells in the entorhinal cortex fire when animals that are exploring a certain region of space occupy the vertices of a triangular grid that spans the environment. Different neurons feature triangular grids that differ in their…

Neurons and Cognition · Quantitative Biology 2017-01-04 Alessandro Sanzeni , Vijay Balasubramanian , Guido Tiana , Massimo Vergassola

Self-organization of neural circuitry is an appealing framework for understanding cortical development, yet its applicability remains unconfirmed. Models for the self-organization of neural circuits have been proposed, but experimentally…

Neurons and Cognition · Quantitative Biology 2009-11-13 Matthias Kaschube , Michael Schnabel , Fred Wolf

To find out the role of the wiring cost in the organization of the neural network of the nematode \textit{Caenorhapditis elegans} (\textit{C. elegans}), we build the neuronal map of \textit{C. elegans} based on geometrical positions of…

Neurons and Cognition · Quantitative Biology 2009-11-11 Yong-Yeol Ahn , Beom Jun Kim , Hawoong Jeong

We propose a theory for ocular dominance (OD) patterns in mammalian primary visual cortex. This theory is based on the premise that OD pattern is an adaptation to minimize the length of intra-cortical wiring. Thus we can understand the…

Soft Condensed Matter · Physics 2007-05-23 Dmitri B. Chklovskii , Alexei A. Koulakov

Developing automated and semi-automated solutions for reconstructing wiring diagrams of the brain from electron micrographs is important for advancing the field of connectomics. While the ultimate goal is to generate a graph of neuron…

Computer Vision and Pattern Recognition · Computer Science 2016-08-09 William Gray Roncal , Colin Lea , Akira Baruah , Gregory D. Hager

Brain network is remarkably cost-efficient while the fundamental physical and dynamical mechanisms underlying its economical optimization in network structure and activity are not clear. Here we study intricate cost-efficient interplay…

Biological Physics · Physics 2021-06-21 Junhao Liang , Sheng-Jun Wang , Changsong Zhou

The idea that complex systems have a hierarchical modular organization originates in the early 1960s and has recently attracted fresh support from quantitative studies of large scale, real-life networks. Here we investigate the hierarchical…

Data Analysis, Statistics and Probability · Physics 2010-04-20 D. Meunier , R. Lambiotte , A. Fornito , K. D. Ersche , E. T. Bullmore

It is widely believed that the particular wiring observed within cortical columns boosts neural computation. We use rewiring of neural networks performing real-world cognitive tasks to study the validity of this argument. In a vast survey…

Neurons and Cognition · Quantitative Biology 2012-04-23 Ralph L. Stoop , Victor Saase , Clemens Wagner , Britta Stoop , Ruedi Stoop

We study a mathematical model for ocular dominance patterns (ODPs) in primary visual cortex. This model is based on the premise that ODP is an adaptation to minimize the length of intra-cortical wiring. Thus we attempt to understand the…

Neurons and Cognition · Quantitative Biology 2007-05-23 Alexei A. Koulakov , Dmitri B. Chklovskii

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…

Neurons and Cognition · Quantitative Biology 2020-03-25 Yujiang Wang , Tobias Ludwig , Bethany Little , Joe H Necus , Gavin Winston , Sjoerd B Vos , Jane de Tisi , John S Duncan , Peter N Taylor , Bruno Mota
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