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Background. Alzheimer's disease and related dementia (ADRD) are characterized by multiple and progressive anatomo clinical changes. Yet, modeling changes over disease course from cohort data is challenging as the usual timescales are…

In many clinical trials studying neurodegenerative diseases such as Parkinson's disease (PD), multiple longitudinal outcomes are collected to fully explore the multidimensional impairment caused by this disease. If the outcomes deteriorate…

Applications · Statistics 2017-05-18 Jue Wang , Sheng Luo , Liang Li

The human brain is liable to undergo substantial alterations, anatomically and functionally with aging. Cognitive brain aging can either be healthy or degenerative in nature. Such degeneration of cognitive ability can lead to disorders such…

Signal Processing · Electrical Eng. & Systems 2022-06-17 Prerna Singh , Tapan Kumar Gandhi , Lalan Kumar

Longitudinal data are often plagued with sparsity of time points where measurements are available. The functional data analysis perspective has been shown to provide an effective and flexible approach to address this problem for the case…

Methodology · Statistics 2017-02-13 Matthew Dawson , Hans-Georg Müller

Graph theory has been extensively used to investigate brain network topology and its changes in disease cohorts. However, many graph theoretic analysis-based brain network studies focused on the shortest paths or, more generally,…

Neurons and Cognition · Quantitative Biology 2021-04-19 M. Ghanbari , Z. Zhou , L-M. Hsu , Y. Han , Y. Sun , P-T. Yap , H. Zhang , D. Shen

Partial synchronization plays a crucial role in the functioning of neuronal networks: selective, coordinated activation of neurons enables information processing that flexibly adapts to a changing computational context. Since the structure…

Neurons and Cognition · Quantitative Biology 2025-06-17 Daniil Radushev , Olesia Dogonasheva , Boris Gutkin , Denis Zakharov

The paper examines the discrete-time dynamics of neuron models (of excitatory and inhibitory types) with piecewise linear activation functions, which are connected in a network. The properties of a pair of neurons (one excitatory and the…

chao-dyn · Physics 2007-05-23 Sitabhra Sinha

Parkinsons disease (PD) alters cortical neural dynamics, yet reliable non-invasive electrophysiological biomarkers remain elusive. This study examined whether interpretable EEG features capturing complementary aspects of neural dynamics can…

Neurons and Cognition · Quantitative Biology 2026-04-14 Antonios G. Dougalis

Several brain disorders can be detected by observing alterations in the brain's structural and functional connectivities. Neurological findings suggest that early diagnosis of brain disorders, such as mild cognitive impairment (MCI), can…

Neurons and Cognition · Quantitative Biology 2021-10-22 Alpay Tekin , Ahmed Nebli , Islem Rekik

The ability to effectively control brain dynamics holds great promise for the enhancement of cognitive function in humans, and the betterment of their quality of life. Yet, successfully controlling dynamics in neural systems is challenging,…

Quantitative Methods · Quantitative Biology 2018-08-29 Evelyn Tang , Danielle S. Bassett

Temporal networks are widely used models for describing the architecture of complex systems. Network memory -- that is the dependence of a temporal network's structure on its past -- has been shown to play a prominent role in diffusion,…

Physics and Society · Physics 2020-04-28 Oliver E. Williams , Lucas Lacasa , Ana P. Millán , Vito Latora

Alzheimer's Disease is a progressive neurological disorder that is one of the most common forms of dementia. It leads to a decline in memory, reasoning ability, and behavior, especially in older people. The cause of Alzheimer's Disease is…

Machine Learning · Computer Science 2025-04-03 Jing Wang , Jun-En Ding , Feng Liu , Elisa Kallioniemi , Shuqiang Wang , Wen-Xiang Tsai , Albert C. Yang

We study possible relations between the structure of the connectome, white matter connecting different regions of brain, and Alzheimer disease. Regression models in covariates including age, gender and disease status for the extent of white…

Methodology · Statistics 2021-04-22 Arkaprava Roy , Subhashis Ghosal , Jeffrey Prescott , Kingshuk Roy Choudhury

Three major biomarkers: beta-amyloid (A), pathologic tau (T), and neurodegeneration (N), are recognized as valid proxies for neuropathologic changes of Alzheimer's disease. While there are extensive studies on cerebrospinal fluids…

Quantitative Methods · Quantitative Biology 2021-03-09 Qing Liu , Defu Yang , Jingwen Zhang , Ziming Wei , Guorong Wu , Minghan Chen

This study investigated the dynamic connectivity patterns between EEG and fMRI modalities, contributing to our understanding of brain network interactions. By employing a comprehensive approach that integrated static and dynamic analyses of…

Machine Learning · Computer Science 2024-12-02 Guiran Liu , Binrong Zhu

Alzheimer's disease (AD) causes alterations of brain network structure and function. The latter consists of connectivity changes between oscillatory processes at different frequency channels. We proposed a multi-layer network approach to…

Neurons and Cognition · Quantitative Biology 2017-10-17 Jeremy Guillon , Yohan Attal , Olivier Colliot , Valentina La Corte , Bruno Dubois , Denis Schwartz , Mario Chavez , Fabrizio De Vico Fallani

Models of misfolded proteins (MP) aim at discovering the bio-mechanical propagation properties of neurological diseases (ND) by identifying plausible associated dynamical systems. Solving these systems along the full disease trajectory is…

Quantitative Methods · Quantitative Biology 2019-01-31 Sara Garbarino , Marco Lorenzi

Neuronal networks constitute a special class of dynamical systems, as they are formed by individual geometrical components, namely the neurons. In the existing literature, relatively little attention has been given to the influence of…

Neurons and Cognition · Quantitative Biology 2015-05-13 Sebastian Ahnert , Luciano da Fontoura Costa

Criticality, observed during second-order phase transitions, is an emergent phenomenon. The brain operates near criticality, where complex systems exhibit high correlations. The critical brain hypothesis suggests that the brain becomes an…

Statistical Mechanics · Physics 2023-06-21 Anirudh Palutla , Shivansh Seth , S. S. Ashwin , Marimuthu Krishnan

Functional brain networks exhibit dynamics on the sub-second temporal scale and are often assumed to embody the physiological substrate of cognitive processes. Here we analyse the temporal and spatial dynamics of these states, as measured…

Neurons and Cognition · Quantitative Biology 2016-06-09 Tammo Rukat , Adam Baker , Andrew Quinn , Mark Woolrich