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We develop a mathematical model of information transmission across the biological neural network of the human brain. The overall function of the brain consists of the emergent processes resulting from the spread of information through the…

Biological Physics · Physics 2018-01-22 Stefanie Heyden , Michael Ortiz

Based on a non-equilibrium mechanism for spatial pattern formation we study how position information can be controlled by locally coupled discrete dynamical networks, similar to gene regulation networks of cells in a developing…

Molecular Networks · Quantitative Biology 2009-08-26 Thimo Rohlf , Stefan Bornholdt

Many observables of brain dynamics appear to be optimized for computation. Which connectivity structures underlie this fine-tuning? We propose that many of these structures are naturally encoded in the space that more directly relates to…

Disordered Systems and Neural Networks · Physics 2023-09-18 Lorenzo Tiberi , David Dahmen , Moritz Helias

The topology of a network directly influences the behaviour and controllability of dynamical processes on that network. Therefore, the design of network topologies is an important area of research when examining the control of distributed…

Optimization and Control · Mathematics 2016-09-29 Mathias Hudoba de Badyn , Mehran Mesbahi

Myelination plays an important role in the neurological development of infant brain and MRI can visualize the myelination extension as T1 high and T2 low signal intensity at white matter. We tried to construct a convolutional neural network…

Imaging findings inconsistent with those expected at specific chronological age ranges may serve as early indicators of neurological disorders and increased mortality risk. Estimation of chronological age, and deviations from expected…

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

Deep learning algorithms for predicting neuroimaging data have shown considerable promise in various applications. Prior work has demonstrated that deep learning models that take advantage of the data's 3D structure can outperform standard…

Image and Video Processing · Electrical Eng. & Systems 2023-03-07 Yuda Bi , Anees Abrol , Zening Fu , Jiayu Chen , Jingyu Liu , Vince Calhoun

It has been said that complexity lies between order and disorder. In the case of brain activity, and physiology in general, complexity issues are being considered with increased emphasis. We sought to identify features of brain organization…

Neurons and Cognition · Quantitative Biology 2017-01-11 R. Guevara Erra , D. M. Mateos , R. Wennberg , J. L. Perez Velazquez

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

White matter microstructure underpins cognition and function in the human brain through the facilitation of neuronal communication, and the non-invasive characterization of this structure remains a research frontier in the neuroscience…

Brain development during adolescence is marked by substantial changes in brain structure and function, leading to a stable network topology in adulthood. However, most prior work has examined the data through the lens of brain areas…

Quantitative Methods · Quantitative Biology 2016-12-26 Shi Gu , Muzhi Yang , John D. Medaglia , Ruben C. Gur , Raquel E. Gur , Theodore D. Satterthwaite , Danielle S. Bassett

Our ability to manipulate the behavior of complex networks depends on the design of efficient control algorithms and, critically, on the availability of an accurate and tractable model of the network dynamics. While the design of control…

Systems and Control · Electrical Eng. & Systems 2021-04-28 Giacomo Baggio , Danielle S. Bassett , Fabio Pasqualetti

Artificial and biological systems may evolve similar computational solutions despite fundamental differences in architecture and learning mechanisms -- a form of convergent evolution. We demonstrate this phenomenon through large-scale…

Neurons and Cognition · Quantitative Biology 2025-07-04 Guobin Shen , Dongcheng Zhao , Yiting Dong , Qian Zhang , Yi Zeng

Neural plasticity is an important functionality of human brain, in which number of neurons and synapses can shrink or expand in response to stimuli throughout the span of life. We model this dynamic learning process as an $L_0$-norm…

Neural and Evolutionary Computing · Computer Science 2021-05-04 Yang Li , Shihao Ji

Structural modularity is a pervasive feature of biological neural networks, which have been linked to several functional and computational advantages. Yet, the use of modular architectures in artificial neural networks has been relatively…

Neural and Evolutionary Computing · Computer Science 2024-06-11 Mani Hamidi , Sina Khajehabdollahi , Emmanouil Giannakakis , Tim Schäfer , Anna Levina , Charley M. Wu

Dimensionality reduction, a form of compression, can simplify representations of information to increase efficiency and reveal general patterns. Yet, this simplification also forfeits information, thereby reducing representational capacity.…

Based on a recently proposed non-equilibrium mechanism for spatial pattern formation [cond-mat/0312366] we study how morphogenesis can be controlled by locally coupled discrete dynamical networks, similar to gene regulation networks of…

Molecular Networks · Quantitative Biology 2007-05-23 Thimo Rohlf , Stefan Bornholdt

The principled design and discovery of biologically- and physically-informed models of neuronal dynamics has been advancing since the mid-twentieth century. Recent developments in artificial intelligence (AI) have accelerated this progress.…

Neurons and Cognition · Quantitative Biology 2021-12-24 Mahta Ramezanian Panahi , Germán Abrevaya , Jean-Christophe Gagnon-Audet , Vikram Voleti , Irina Rish , Guillaume Dumas

How the information microscopically processed by individual neurons is integrated and used in organizing the behavior of an animal is a central question in neuroscience. The coherence of neuronal dynamics over different scales has been…

Disordered Systems and Neural Networks · Physics 2020-03-11 Takashi Hayakawa , Tomoki Fukai
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