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A coupled map is suggested to investigate various spatial or temporal designs in biology: Several cells (or tissues) in an organ are considered as connected to each other in terms of some molecular diffusions or electrical potential…

综合物理 · 物理学 2011-06-07 Caglar Tuncay

We use a growth procedure for binary trees due to Luczak and Winkler, a bijection between binary trees and irreducible quadrangulations of the hexagon due to Fusy, Poulalhon and Schaeffer, and the classical angular mapping between…

概率论 · 数学 2014-02-12 Louigi Addario-Berry

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…

神经元与认知 · 定量生物学 2022-09-09 Viplove Arora , Enrico Amico , Joaquín Goñi , Mario Ventresca

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…

软凝聚态物质 · 物理学 2007-05-23 Dmitri B. Chklovskii , Alexei A. Koulakov

This paper introduces a novel methodology to integrate human brain connectomics and parcellation for brain tumor segmentation and survival prediction. For segmentation, we utilize an existing brain parcellation atlas in the MNI152 1mm space…

计算机视觉与模式识别 · 计算机科学 2019-02-13 Po-Yu Kao , Thuyen Ngo , Angela Zhang , Jefferson W. Chen , B. S. Manjunath

We studied the transmission of photons in mouse brain in both with and without intact skull states using Monte Carlo method. Photon track, optical absorption density and fluence rate were used as indicators for analysis. We found that, the…

医学物理 · 物理学 2020-09-30 Xianlin Song , Rui Wang , Jianshuang Wei , Lingfang Song

We present a multi-scale spiking network model of all vision-related areas of macaque cortex that represents each area by a full-scale microcircuit with area-specific architecture. The layer- and population-resolved network connectivity…

We consider a stochastic Laplacian growth problem in the framework of normal random matrices. In the large $N$ limit the support of eigenvalues of random matrices is a planar domain with a sharp boundary which evolves under a change in the…

数学物理 · 物理学 2023-12-01 Oleg Alekseev

The aim of this paper is to study the large population limit of a binary branching particle system with Moran type interactions: we introduce a new model where particles evolve, reproduce and die independently and, with a probability that…

概率论 · 数学 2024-04-12 Alexander M. G. Cox , Emma Horton , Denis Villemonais

This article describes the investigation of morphological variations among two set of neuronal cells, namely a control group of wild type rat cells and a group of cells of a trangenic line. Special attention is given to sigular points in…

At the macroscale, the brain operates as a network of interconnected neuronal populations, which display rhythmic dynamics that support interareal communication. Understanding how stimulation of a particular brain area impacts such…

神经元与认知 · 定量生物学 2020-11-12 Lia Papadopoulos , Christopher W. Lynn , Demian Battaglia , Danielle S. Bassett

We develop a simple computational model for cell boundary evolution in plastic deformation. We study the cell boundary size distribution and cell boundary misorientation distribution that experimentally have been found to have scaling forms…

材料科学 · 物理学 2013-05-29 James P. Sethna , Valerie R. Coffman , Eugene Demler

Two cliques of genes identified computationally for their high co-expression in the mouse brain according to the Allen Brain Atlas, and for their enrichment in genes related to autism spectrum disorder, have recently been shown to be highly…

神经元与认知 · 定量生物学 2014-08-12 Pascal Grange , Idan Menashe , Michael Hawrylycz

How natural communication sounds are spatially represented across the inferior colliculus, the main center of convergence for auditory information in the midbrain, is not known. The neural representation of the acoustic stimuli results from…

神经元与认知 · 定量生物学 2016-07-01 Dominika Lyzwa , Florentin Wörgötter

Evidence of critical dynamics has been recently found in both experiments and models of large scale brain dynamics. The understanding of the nature and features of such critical regime is hampered by the relatively small size of the…

无序系统与神经网络 · 物理学 2019-12-04 Mahdi Zarepour , Juan I. Perotti , Orlando V. Billoni , Dante R. Chialvo , Sergio A. Cannas

We offer a general theoretical framework for brain and behavior that is evolutionarily and computationally plausible. The brain in our abstract model is a network of nodes and edges. Although it has some similarities to standard neural…

人工智能 · 计算机科学 2022-04-12 Joseph Y. Halpern , Arnon Lotem

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…

神经元与认知 · 定量生物学 2014-05-19 Jan Karbowski

Large language models based on self-attention mechanisms have achieved astonishing performances not only in natural language itself, but also in a variety of tasks of different nature. However, regarding processing language, our human brain…

计算与语言 · 计算机科学 2024-04-18 Chan Li , Junbin Qiu , Haiping Huang

The ``social brain hypothesis'' for the evolution of large brains in primates has led to evidence for the coevolution of neocortical size and social group sizes. Extrapolation of these findings to modern humans indicated that the equivalent…

统计力学 · 物理学 2007-05-23 W. -X. Zhou , D. Sornette , R. A. Hill , R. I. M. Dunbar

The hippocampal-entorhinal complex plays a major role in the organization of memory and thought. The formation of and navigation in cognitive maps of arbitrary mental spaces via place and grid cells can serve as a representation of memories…

神经元与认知 · 定量生物学 2022-10-31 Paul Stoewer , Achim Schilling , Andreas Maier , Patrick Krauss