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Geometrical cues are known to play a very important role in neuronal growth and the formation of neuronal networks. Here, we present a detailed analysis of axonal growth and dynamics for neuronal cells cultured on patterned…

Cell Behavior · Quantitative Biology 2019-06-14 Ilya Yurchenko , Joao Marcos Vensi Basso , Vladyslav Serhiiovych Syrotenko , Cristian Staii

Neural development represents not only an exciting and complex field of study, with ongoing progress, but it also became the epicentre of neuroscience and developmental biology, as it strives to describe the underlying cellular and…

Neurons and Cognition · Quantitative Biology 2014-05-15 Ana M. Mihut , Graham Morgan , Marcus Kaiser

The formation of neuron networks is a process of fundamental importance for understanding the development of the nervous system and for creating biomimetic devices for tissue engineering and neural repair. The basic process that controls…

Cell Behavior · Quantitative Biology 2022-05-16 Ilya Yurchenko , Matthew Farwell , Donovan D. Brady , Cristian Staii

Axonal growth and the formation of synaptic connections are key steps in the development of the nervous system. Here we present experimental and theoretical results on axonal growth and interconnectivity in order to elucidate some of the…

Geometrical cues play an essential role in neuronal growth. Here, we quantify axonal growth on surfaces with controlled geometries and report a general stochastic approach that quantitatively describes the motion of growth cones. We show…

Biological Physics · Physics 2019-06-13 Joao Marcos Vensi Basso , Ilya Yurchenko , Marc Simon , Daniel J. Rizzo , Cristian Staii

Neuronal circuits arise as axons and dendrites extend, navigate, and connect to target cells. Axonal growth, in particular, integrates deterministic guidance from substrate mechanics and geometry with stochastic fluctuations generated by…

Biological Physics · Physics 2025-10-10 Cristian Staii

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

Axon guidance (AG) towards their target during embryogenesis or after injury is an important issue in the development of neuronal networks. During their growth, axons often face complex decisions that are difficult to understand when…

Neurons and Cognition · Quantitative Biology 2015-08-10 Rui Ponte Costa

It is currently accepted that cortical maps are dynamic constructions that are altered in response to external input. Experience-dependent structural changes in cortical microcurcuts lead to changes of activity, i.e. to changes in…

Neurons and Cognition · Quantitative Biology 2013-02-26 F. Gafarov , N. Khusnutdinov , F. Galimyanov

A single axon can generate branches connecting with plenty synaptic targets. Process of branching is very important for making connections in central nervous system. The interstitial branching along primary axon shaft occurs during nervous…

Neurons and Cognition · Quantitative Biology 2013-04-25 Y. Suleymanov , F. Gafarov , N. Khusnutdinov

During neurodevelopment, neuronal axons navigate through the extracellular environment, guided by various cues to establish connections with distant target cells. Among other factors, axon trajectories are influenced by heterogeneities in…

Biological Physics · Physics 2025-09-09 Christoforos Kassianides , Alain Goriely , Hadrien Oliveri

The quintessential property of neuronal systems is their intensive patterns of selective synaptic connections. The current work describes a physics-based approach to neuronal shape modeling and synthesis and its consideration for the…

Neurons and Cognition · Quantitative Biology 2009-11-10 Luciano da Fontoura Costa , Regina Celia Coelho

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…

Neurons and Cognition · Quantitative Biology 2009-12-06 Marcus Kaiser , Claus C. Hilgetag , Arjen van Ooyen

We develop a coarse-grained stochastic theory for axonal growth on micropatterned substrates using the Shannon--Jaynes maximum entropy principle. Starting from a Langevin description of growth cone motion, we infer the effective…

Biological Physics · Physics 2026-04-29 Julian Sutaria , Cristian Staii

The exponential growth in the rate at which information can be communicated through an optical fiber is a key element in the so called information revolution. However, like all exponential growth laws, there are physical limits to be…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Partha P. Mitra , Jason B. Stark

Surface growth, by association or dissociation of material on the boundaries of a body, is ubiquitous in both natural and engineering systems. It is the fundamental mechanism by which biological materials grow, starting from the level of a…

Soft Condensed Matter · Physics 2019-03-06 Rami Abi-Akl , Rohan Abeyaratne , Tal Cohen

We review, systematize and discuss models of diffusion in neuronal tissue, by putting them into an overarching physical context of coarse-graining over an increasing diffusion length scale. From this perspective, we view research on…

Biological Physics · Physics 2018-04-20 Dmitry S. Novikov , Els Fieremans , Sune N. Jespersen , Valerij G. Kiselev

Mounting evidence in neuroscience suggests the possibility of neuronal representations that individual neurons serve as the substrates of different mental representations in a point-to-point way. Combined with associationism, it can…

Neurons and Cognition · Quantitative Biology 2021-09-06 Chiyin Zheng

A one-dimensional continuum-mechanical model of axonal elongation due to assembly of tubulin dimers in the growth cone is presented. The conservation of mass leads to a coupled system of three differential equations. A partial differential…

Cell Behavior · Quantitative Biology 2015-12-21 S. Diehl , E. Henningsson , A. Heyden , S. Perna

This paper presents a novel latent 3D diffusion model for the generation of neural voxel fields, aiming to achieve accurate part-aware structures. Compared to existing methods, there are two key designs to ensure high-quality and accurate…

Computer Vision and Pattern Recognition · Computer Science 2025-05-05 Yuhang Huang , SHilong Zou , Xinwang Liu , Kai Xu
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