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We extend a recently proposed model (Chaudhuri et al., EPL 87, 20003 (2009)) aiming to describe the formation of fascicles of axons during neural development. The growing axons are represented as paths of interacting directed random walkers…

Biological Physics · Physics 2015-03-13 Debasish Chaudhuri , Peter Borowski , Martin Zapotocky

Intrinsic brain activity is characterized by highly structured co-activations between different regions, whose origin is still under debate. In this paper, we address the question whether it is possible to unveil how the underlying…

The relative importance of the intrinsic and extrinsic factors determining the variety of geometric shapes exhibited by dendritic trees remains unclear. This question was addressed by developing a model of the growth of dendritic trees…

Neurons and Cognition · Quantitative Biology 2007-05-23 Artur Luczak

Understanding individual cortical development is essential for identifying deviations linked to neurodevelopmental disorders. However, current normative modelling frameworks struggle to capture fine-scale anatomical details due to their…

Quantitative Methods · Quantitative Biology 2025-08-14 Nashira Baena , Mariana da Silva , Irina Grigorescu , Aakash Saboo , Saga Masui , Jaques-Donald Tournier , Emma C. Robinson

Understanding the relationship between the dynamics of neural processes and the anatomical substrate of the brain is a central question in neuroscience. On the one hand, modern neuroimaging technologies, such as diffusion tensor imaging,…

Artificial Intelligence has looked into biological systems as a source of inspiration. Although there are many aspects of the brain yet to be discovered, neuroscience has found evidence that the connections between neurons continuously grow…

Neural and Evolutionary Computing · Computer Science 2020-10-29 Javier Lopez Randulfe , Leon Bonde Larsen

A one-dimensional cellular automaton with a probabilistic evolution rule can generate stochastic surface growth in $(1 + 1)$ dimensions. Two such discrete models of surface growth are constructed from a probabilistic cellular automaton…

Statistical Mechanics · Physics 2015-06-25 Pratip Bhattacharyya

Neuronal morphology is an essential element for brain activity and function. We take advantage of current availability of brain-wide neuron digital reconstructions of the Pyramidal cells from a mouse brain, and analyze several emergent…

Dynamical Systems · Mathematics 2018-10-09 Congping Lin , Yuanfei Huang , Tingwei Quan , Yiwei Zhang

We propose a model for description of activity-dependent evolution and self-wiring between binary neurons. Specifically, this model can be used for investigation of growth of neuronal connectivity in the developing neocortex. By using…

Neurons and Cognition · Quantitative Biology 2007-05-23 Fail M. Gafarov

I consider a topographic projection between two neuronal layers with different densities of neurons. Given the number of output neurons connected to each input neuron (divergence) and the number of input neurons synapsing on each output…

Disordered Systems and Neural Networks · Physics 2007-05-23 Dmitri B. Chklovskii

A fundamental question in neuroscience is how structure and function of neural systems are related. We study this interplay by combining a familiar auto-associative neural network with an evolving mechanism for the birth and death of…

Adaptation and Self-Organizing Systems · Physics 2019-04-26 Ana P. Millán , J. J. Torres , S. Johnson , J. Marro

This paper describes how realistic neuromorphic networks can have their connectivity fully characterized in analytical fashion. By assuming that all neurons have the same shape and are regularly distributed along the two-dimensional…

Disordered Systems and Neural Networks · Physics 2007-05-23 Luciano da Fontoura Costa , Marconi Soares Barbosa

Hierarchically modular organization is a canonical network topology that is evolutionarily conserved in the nervous systems of animals. Within the network, neurons form directional connections defined by the growth of their axonal…

Neurons and Cognition · Quantitative Biology 2024-04-26 Nobuaki Monma , Hideaki Yamamoto , Naoya Fujiwara , Hakuba Murota , Satoshi Moriya , Ayumi Hirano-Iwata , Shigeo Sato

Neural tissue engineering holds incredible potential to restore functional capabilities to damaged neural tissue. It was hypothesized that patterned and functionalized nanofiber scaffolds could control neurite direction and enhance neurite…

Tissues and Organs · Quantitative Biology 2016-01-05 Richard J. McMurtrey

Neuromorphology is crucial to identifying neuronal subtypes and understanding learning. It is also implicated in neurological disease. However, standard morphological analysis focuses on macroscopic features such as branching frequency and…

Neurons and Cognition · Quantitative Biology 2022-03-10 Thomas L. Athey , Jacopo Teneggi , Joshua T. Vogelstein , Daniel Tward , Ulrich Mueller , Michael I. Miller

Biomaterials are becoming an essential tool in the study and application of stem cell research. Various types of biomaterials enable three-dimensional (3D) culture of stem cells, and, more recently, also enable high-resolution patterning…

Tissues and Organs · Quantitative Biology 2016-10-11 Richard J. McMurtrey

Modeling the ability of multicellular organisms to build and maintain their bodies through local interactions between individual cells (morphogenesis) is a long-standing challenge of developmental biology. Recently, the Neural Cellular…

Neural and Evolutionary Computing · Computer Science 2022-06-02 Alexander Mordvintsev , Ettore Randazzo , Craig Fouts

In this paper we develop a probabilistic micro-scale compartmental model and use it to study macro-scale properties of axonal transport, the process by which intracellular cargo is moved in the axons of neurons. By directly modeling the…

Biological Physics · Physics 2011-05-24 Lea Popovic , Scott A. McKinley , Michael C. Reed

Neurons transmit active potentials through axons, which are essential for the brain to function. In this study, the axonal networks of the murine brain were visualized with X-ray tomographic microscopy, also known as X-ray microtomography…

Recurrent neural networks (RNNs) trained on compositional tasks can exhibit functional modularity, in which neurons can be clustered by activity similarity and participation in shared computational subtasks. Unlike brains, these RNNs do not…

Neurons and Cognition · Quantitative Biology 2023-10-12 Ziming Liu , Mikail Khona , Ila R. Fiete , Max Tegmark