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Buckling instabilities driven by tissue growth underpin key developmental events such as the folding of the brain. Tissue growth is disordered due to cell-to-cell variability, but the effects of this variability on buckling are unknown.…

Soft Condensed Matter · Physics 2025-12-12 Rahul G. Ramachandran , Ricard Alert , Pierre A. Haas

Mean field models (MFMs) of cortical tissue incorporate salient features of neural masses to model activity at the population level. One of the common aspects of MFM descriptions is the presence of a high dimensional parameter space…

Dynamical Systems · Mathematics 2015-05-19 Federico Frascoli , Lennaert van Veen , Ingo Bojak , David T J Liley

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

Hyperbolic geometry has been successfully applied in modeling brain cortical and subcortical surfaces with general topological structures. However such approaches, similar to other surface based brain morphology analysis methods, usually…

Image and Video Processing · Electrical Eng. & Systems 2021-02-23 J. Zhang , Q. Dong , J. Shi , Q. Li , C. M. Stonnington , B. A. Gutman , K. Chen , E. M. Reiman , R. J. Caselli , P. M. Thompson , J. Ye , Y. Wang

General results from statistical learning theory suggest to understand not only brain computations, but also brain plasticity as probabilistic inference. But a model for that has been missing. We propose that inherently stochastic features…

Neural and Evolutionary Computing · Computer Science 2016-02-17 David Kappel , Stefan Habenschuss , Robert Legenstein , Wolfgang Maass

A complete understanding of the brain requires an integrated description of the numerous scales of neural organization. It means studying the interplay of genes, synapses, and even whole brain regions which ultimately leads to different…

Neurons and Cognition · Quantitative Biology 2022-08-09 Charley Presigny , Fabrizio De Vico Fallani

Computational biomechanics models of the brain have become an important tool for investigating the brain responses to mechanical loads. The geometry, loading conditions, and constitutive properties of such brain models are well-studied and…

Computational Engineering, Finance, and Science · Computer Science 2025-12-10 Sajjad Arzemanzadeh , Benjamin Zwick , Karol Miller , Tim Rosenow , Stuart I. Hodgetts , Adam Wittek

Biomechanical modeling of tissue deformation can be used to simulate different scenarios of longitudinal brain evolution. In this work,we present a deep learning framework for hyper-elastic strain modelling of brain atrophy, during healthy…

Neurons and Cognition · Quantitative Biology 2021-08-19 Mariana Da Silva , Carole H. Sudre , Kara Garcia , Cher Bass , M. Jorge Cardoso , Emma C. Robinson

Many of the recent remarkable advances in computer vision and language models can be attributed to the success of transfer learning via the pre-training of large foundation models. However, a theoretical framework which explains this…

Machine Learning · Computer Science 2024-12-19 Michael Munn , Benoit Dherin , Javier Gonzalvo

Living biological tissue is a complex system, constantly growing and changing in response to external and internal stimuli. These processes lead to remarkable and intricate changes in shape. Modeling and understanding both natural and…

Computer Vision and Pattern Recognition · Computer Science 2025-04-07 Edwin Tay , Nazli Tümer , Amir A. Zadpoor

Understanding the operation of biological and artificial networks remains a difficult and important challenge. To identify general principles, researchers are increasingly interested in surveying large collections of networks that are…

Machine Learning · Statistics 2022-01-14 Alex H. Williams , Erin Kunz , Simon Kornblith , Scott W. Linderman

Physical growth traits can be naturally represented by continuous functions. In a large dataset of infancy growth patterns, we develop a practical approach to infer statistical associations between growth-trajectories and IQ performance in…

As a person learns a new skill, distinct synapses, brain regions, and circuits are engaged and change over time. In this paper, we develop methods to examine patterns of correlated activity across a large set of brain regions. Our goal is…

Neurons and Cognition · Quantitative Biology 2013-10-31 Danielle S. Bassett , Nicholas F. Wymbs , M. Puck Rombach , Mason A. Porter , Peter J. Mucha , Scott T. Grafton

The applicability of computational and dynamical systems models to organisms is scrutinized, using examples from developmental biology and cognition. Developmental morphogenesis is dependent on the inherent material properties of developing…

Neurons and Cognition · Quantitative Biology 2023-10-24 Stuart A. Newman

Humans and animals excel in combining information from multiple sensory modalities, controlling their complex bodies, adapting to growth, failures, or using tools. These capabilities are also highly desirable in robots. They are displayed…

Robotics · Computer Science 2022-11-08 Matej Hoffmann

In Functional Data Analysis, data are commonly assumed to be smooth functions on a fixed interval of the real line. In this work, we introduce a comprehensive framework for the analysis of functional data, whose domain is a two-dimensional…

Methodology · Statistics 2019-08-02 Eardi Lila , John A. D. Aston

Central nervous system (CNS) tumors come with the vastly heterogeneous histologic, molecular and radiographic landscape, rendering their precise characterization challenging. The rapidly growing fields of biophysical modeling and radiomics…

Quantitative Methods · Quantitative Biology 2020-06-30 Andreas Mang , Spyridon Bakas , Shashank Subramanian , Christos Davatzikos , George Biros

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

Growth and folding in one-layered model tissue sheets are studied in a stochastic, lattice-free single cell model which considers the discrete cellular structure of the tissue, and a coarse grained analytical approach. The polarity of the…

Statistical Mechanics · Physics 2007-05-23 Dirk Drasdo

The remarkable range of biological forms in and around us, such as the undulating shape of a leaf or flower in the garden, the coils in our gut, or the folds in our brain, raise a number of questions at the interface of biology, physics and…

General Mathematics · Mathematics 2021-05-13 Marta Lewicka , L. Mahadevan
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