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The main goal of this study is to propose a mathematical model describing paths of the axon growth cones and differences in the behavior of normal and mutant axons. We introduce a probabilistic model for axon growing, such that each family…

Neurons and Cognition · Quantitative Biology 2015-12-09 Elena Zhizhina , Sergey Komech , Xavier Descombes

Coordinated cellular movements are key processes in tissue morphogenesis. Using a cell-based modeling approach we study the dynamics of epithelial layers lining surfaces with constant and varying curvature. We demonstrate that extrinsic…

Soft Condensed Matter · Physics 2024-03-21 Lea Happel , Axel Voigt

Connectomics and network neuroscience offer quantitative scientific frameworks for modeling and analyzing networks of structurally and functionally interacting neurons, neuronal populations, and macroscopic brain areas. This shift in…

Neurons and Cognition · Quantitative Biology 2020-10-06 Richard Betzel

Building on evidence of structural parallels between brain networks and the cosmic web [1], we apply AI-based geometric analysis to cultured neuronal networks. Isolated neurons self-organize into dendritic lattices shaped by reproducible…

Neurons and Cognition · Quantitative Biology 2025-10-14 Wolfgang Kurz , Danny Baranes

The relationship between brain structure and function has been probed using a variety of approaches, but how the underlying structural connectivity of the human brain drives behavior is far from understood. To investigate the effect of…

Neurons and Cognition · Quantitative Biology 2018-11-15 Kanika Bansal , John D. Medaglia , Danielle S. Bassett , Jean M. Vettel , Sarah F. Muldoon

Inspired by recent experiments that highlight the role of nematic defects in the morphogenesis of epithelial tissues, we develop a minimal framework to study the dynamics of an active curved surface driven by its nematic texture. Allowing…

Soft Condensed Matter · Physics 2022-09-14 Farzan Vafa , L. Mahadevan

We construct a family of stochastic growth models in 2+1 dimensions, that belong to the anisotropic KPZ class. Appropriate projections of these models yield 1+1 dimensional growth models in the KPZ class and random tiling models. We show…

Mathematical Physics · Physics 2014-04-24 Patrik L. Ferrari , Alexei Borodin

The simulation of growth processes within soft biological tissues is of utmost importance for many applications in the medical sector. Within this contribution we propose a new macroscopic approach fro modelling stress-driven volumetric…

Computational Engineering, Finance, and Science · Computer Science 2022-01-21 L. Lamm , H. Holthusen , T. Brepols , S. Jockenhövel , S. Reese

In the wake of recent advances in experimental methods in neuroscience, the ability to record in-vivo neuronal activity from awake animals has become feasible. The availability of such rich and detailed physiological measurements calls for…

Quantitative Methods · Quantitative Biology 2016-11-03 Gal Mishne , Ronen Talmon , Ron Meir , Jackie Schiller , Uri Dubin , Ronald R. Coifman

Laboratory-grown, engineered living neuronal networks in vitro have emerged in the last years as an experimental technique to understand the collective behavior of neuronal assemblies in relation to their underlying connectivity. An…

Neurons and Cognition · Quantitative Biology 2025-01-09 Akke Mats Houben , Jordi Garcia-Ojalvo , Jordi Soriano

Many processes in eukaryotic cells, including cell motility, rely on the growth of branched actin networks from surfaces. Despite its central role the mechano-chemical coupling mechanisms which guide the growth process are poorly…

Soft Condensed Matter · Physics 2015-06-23 Karin John , Denis Caillerie , Chaouqi Misbah

Growing tissues are highly dynamic, flowing on sufficiently long time-scales due to cell proliferation, migration and tissue remodeling. As a consequence, living tissues can be approximated as liquids. This means the shape of microtissues…

Soft Condensed Matter · Physics 2021-12-17 Peter Fratzl , F. Dieter Fischer , Gerald A. Zickler , John W. C. Dunlop

What are the general principles that allow proper growth of a tissue or an organ? A growing leaf is an example of such a system: it increases its area by orders of magnitude, maintaining a proper (usually flat) shape. How can this be…

Tissues and Organs · Quantitative Biology 2020-05-13 S. Armon , M. Moshe , E. Sharon

We present a model of decentralized growth for Artificial Neural Networks (ANNs) inspired by the development and the physiology of real nervous systems. In this model, each individual artificial neuron is an autonomous unit whose behavior…

adap-org · Physics 2007-05-23 Jens C. Astor , Christoph Adami

Reconstruction of neuroanatomy is a fundamental problem in neuroscience. Stochastic expression of colors in individual cells is a promising tool, although its use in the nervous system has been limited due to various sources of variability…

Neurons and Cognition · Quantitative Biology 2017-01-24 Uygar Sümbül , Douglas Roussien , Fei Chen , Nicholas Barry , Edward S. Boyden , Dawen Cai , John P. Cunningham , Liam Paninski

The integration and transmission of information in the brain are dependent on the interplay between structural and dynamical properties. Implicit in any pursuit aimed at understanding neural dynamics from appropriate sets of mathematically…

Neurons and Cognition · Quantitative Biology 2020-06-30 Joshua M. Roldan , Sebastian Pardo G. , Vivek Kurien George , Gabriel A. Silva

We use a Convolutional Recurrent Neural Network approach to learn morphological evolution driven by surface diffusion. To this aim we first produce a training set using phase field simulations. Intentionally, we insert in such a set only…

Computational Physics · Physics 2024-05-07 Daniele Lanzoni , Marco Albani , Roberto Bergamaschini , Francesco Montalenti

A general theory of thermodynamically consistent biomechanical--biochemical growth in a body, considering mass addition in the bulk and at an incoherent interface, is developed. The incoherency arises due to incompatibility of growth and…

Biological Physics · Physics 2018-02-07 Digendranath Swain , Anurag Gupta

While the ultrastructure of the myelin has been considered to be a quasi-crystalline stable system, nowadays its multiscale complex dynamics appears to play a key role for its functionality, degeneration and repair processes following…

Quantitative Methods · Quantitative Biology 2017-09-20 Michael Di Gioacchino , Gaetano Campi , Nicola Poccia , Antonio Bianconi

Synaptic plasticity dynamically shapes the connectivity of neural systems and is key to learning processes in the brain. To what extent the mechanisms of plasticity can be exploited to drive a neural network and make it perform some kind of…

Neurons and Cognition · Quantitative Biology 2024-12-03 Francesco Borra , Simona Cocco , Rémi Monasson
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