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Analyzing point patterns with linear structures has recently been of interest in e.g. neuroscience and geography. To detect anisotropy in such cases, we introduce a functional summary statistic, called the cylindrical $K$-function, since it…

统计理论 · 数学 2016-08-29 Jesper Møller , Farzaneh Safavimanesh , Jakob G. Rasmussen

Dendritic spines, which are small protrusions on the dendrites of a neuron, are of interest in neuroscience as they are related to cognitive processes such as learning and memory. We analyse the distribution of spine locations on six…

统计方法学 · 统计学 2020-10-27 Heidi S. Christensen , Jesper Møller

In this work, we present a mathematical model for cyclic and sequential patterns of brain activity, combining heteroclinic dynamics with discrete neural-field models. We first show that spatial-discrete neural-field equations with…

动力系统 · 数学 2026-05-05 M Virginia Bolelli , Luca Greco , Dario Prandi

Studying the cellular architecture of the human cerebral cortex is critical for understanding brain organization and function. It requires investigating complex texture patterns in histological images, yet automatic methods that scale…

This paper presents a highly speculative model encompassing the cortex, thalamus, and hippocampus of the mammalian brain. While the majority of computational neuroscience models are founded upon empirical evidence, this model is predicated…

神经元与认知 · 定量生物学 2024-05-22 Valentin Puente-Varona

In this paper we explain the strikingly regular activity of the 'grid' cells in rodent dorsal medial entorhinal cortex (dMEC) and the spatially localized activity of the hippocampal place cells in CA3 and CA1 by assuming that the…

神经元与认知 · 定量生物学 2008-04-22 Andras Lorincz , Melinda Kiszlinger , Gabor Szirtes

The visual systems of many mammals, including humans, is able to integrate the geometric information of visual stimuli and to perform cognitive tasks already at the first stages of the cortical processing. This is thought to be the result…

计算机视觉与模式识别 · 计算机科学 2014-10-06 Giacomo Cocci , Davide Barbieri , Giovanna Citti , Alessandro Sarti

The brain is a paradigmatic example of a complex system as its functionality emerges as a global property of local mesoscopic and microscopic interactions. Complex network theory allows to elicit the functional architecture of the brain in…

神经元与认知 · 定量生物学 2017-01-18 Rossana Mastrandrea , Andrea Gabrielli , Fabrizio Piras , Gianfranco Spalletta , Guido Caldarelli , Tommaso Gili

The cell cortex, a thin film of active material assembled below the cell membrane, plays a key role in cellular symmetry breaking processes such as cell polarity establishment and cell division. Here, we present a minimal model of the…

生物物理 · 物理学 2019-09-30 Alexander Mietke , V. Jemseena , K. Vijay Kumar , Ivo F. Sbalzarini , Frank Jülicher

In this paper we first recall the definition of geometical model of the visual cortex, focusing in particular on the geometrical properties of horizontal cortical connectivity. Then we recognize that histograms of edges - co-occurrences are…

计算机视觉与模式识别 · 计算机科学 2019-06-11 Giovanna Citti , Alessandro Sarti

We present a microscopic approach for the coupling of cortical activity, as resulting from proper dipole currents of pyramidal neurons, to the electromagnetic field in extracellular fluid in presence of diffusion and Ohmic conduction.…

神经元与认知 · 定量生物学 2013-10-08 Peter beim Graben , Serafim Rodrigues

Neurons integrate synaptic inputs and convert them to action potential output at electrically distant locations. The computational power of a neuron is hence enhanced by subcellular compartmentalization and nonlinear synaptic integration,…

神经元与认知 · 定量生物学 2024-08-13 Jaeyoung Yoon

Hierarchies feature prominently in anatomical accounts of cortical organisation. An open question is which computational (algorithmic) processes are implemented by these hierarchies. One renowned hypothesis is that cortical hierarchies…

神经元与认知 · 定量生物学 2017-09-08 Andreea O. Diaconescu , Vladimir Litvak , Christoph Mathys , Lars Kasper , Karl J. Friston , Klaas E. Stephan

Neuronal circuits of the cerebral cortex are the structural basis of mammalian cognition. The same qualitative components and connectivity motifs are repeated across functionally specialized cortical areas and mammalian species, suggesting…

神经元与认知 · 定量生物学 2025-07-04 Arno Granier , Katharina A Wilmes , Mihai A Petrovici , Walter Senn

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…

数据分析、统计与概率 · 物理学 2010-04-20 D. Meunier , R. Lambiotte , A. Fornito , K. D. Ersche , E. T. Bullmore

Cytoarchitecture describes the spatial organization of neuronal cells in the brain, including their arrangement into layers and columns with respect to cell density, orientation, or presence of certain cell types. It allows to segregate the…

图像与视频处理 · 电气工程与系统科学 2022-01-02 Christian Schiffer , Stefan Harmeling , Katrin Amunts , Timo Dickscheid

For long it has been known that specific patterns of folding are necessary for an optimally functioning brain. For instance, lissencephaly and polymicrogyria can lead to severe mental retardation, short life expectancy, epileptic seizures,…

生物物理 · 物理学 2020-04-03 Lucas da Costa Campos , Raphael Hornung , Gerhard Gompper , Jens Elgeti , Svenja Caspers

The cerebral cortex is composed of multiple cortical areas that exert a wide variety of brain functions. Although human brain neurons are genetically and areally mosaic, the three-dimensional structural differences between neurons in…

We investigate different dynamical regimes of neuronal network in the CA3 area of the hippocampus. The proposed neuronal circuit includes two fast- and two slowly-spiking cells which are interconnected by means of dynamical synapses. On the…

神经元与认知 · 定量生物学 2015-11-20 Anastasia I. Lavrova , Michael A. Zaks , Lutz Schimansky-Geier

One of the primary objectives of human brain mapping is the division of the cortical surface into functionally distinct regions, i.e. parcellation. While it is generally agreed that at macro-scale different regions of the cortex have…

神经元与认知 · 定量生物学 2017-03-06 Daniel Moyer , Boris A Gutman , Neda Jahanshad , Paul M. Thompson
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