Mathematical frameworks for oscillatory network dynamics in neuroscience

P Ashwin, S Coombes, R Nicks - The Journal of Mathematical …, 2016 - Springer
The tools of weakly coupled phase oscillator theory have had a profound impact on the
neuroscience community, providing insight into a variety of network behaviours ranging from …

Dynamic processes in regulation and some implications for biofeedback and biobehavioral interventions

P Lehrer, D Eddie - Applied psychophysiology and biofeedback, 2013 - Springer
Abstract Systems theory has long been used in psychology, biology, and sociology. This
paper applies newer methods of control systems modeling for assessing system stability in …

[HTML][HTML] Mathematical framework for large-scale brain network modeling in The Virtual Brain

P Sanz-Leon, SA Knock, A Spiegler, VK Jirsa - Neuroimage, 2015 - Elsevier
In this article, we describe the mathematical framework of the computational model at the
core of the tool The Virtual Brain (TVB), designed to simulate collective whole brain …

Theta-nested gamma oscillations in next generation neural mass models

M Segneri, H Bi, S Olmi, A Torcini - Frontiers in computational …, 2020 - frontiersin.org
Theta-nested gamma oscillations have been reported in many areas of the brain and are
believed to represent a fundamental mechanism to transfer information across spatial and …

[HTML][HTML] Transcranial direct current stimulation changes resting state functional connectivity: A large-scale brain network modeling study

T Kunze, A Hunold, J Haueisen, V Jirsa, A Spiegler - Neuroimage, 2016 - Elsevier
Transcranial direct current stimulation (tDCS) is a noninvasive technique for affecting brain
dynamics with promising application in the clinical therapy of neurological and psychiatric …

Linking molecular pathways and large-scale computational modeling to assess candidate disease mechanisms and pharmacodynamics in Alzheimer's disease

L Stefanovski, P Triebkorn, A Spiegler… - Frontiers in …, 2019 - frontiersin.org
Introduction: While the prevalence of neurodegenerative diseases associated with dementia
such as Alzheimer's disease (AD) increases, our knowledge on the underlying mechanisms …

Spatiotemporal features of β-γ phase-amplitude coupling in Parkinson's disease derived from scalp EEG

R Gong, M Wegscheider, C Mühlberg, R Gast, C Fricke… - Brain, 2021 - academic.oup.com
Abnormal phase-amplitude coupling between β and broadband-γ activities has been
identified in recordings from the cortex or scalp of patients with Parkinson's disease. While …

Go with the flow: use of a directed phase lag index (dPLI) to characterize patterns of phase relations in a large-scale model of brain dynamics

CJ Stam, ECW van Straaten - Neuroimage, 2012 - Elsevier
We introduce a directed phase lag index to investigate the spatial and temporal pattern of
phase relations of oscillatory activity in a model of macroscopic structural and functional …

Bridging scales in Alzheimer's disease: biological framework for brain simulation with the virtual brain

L Stefanovski, JM Meier, RK Pai, P Triebkorn… - Frontiers in …, 2021 - frontiersin.org
Despite the acceleration of knowledge and data accumulation in neuroscience over the last
years, the highly prevalent neurodegenerative disease of AD remains a growing problem …

How do parcellation size and short-range connectivity affect dynamics in large-scale brain network models?

T Proix, A Spiegler, M Schirner, S Rothmeier, P Ritter… - NeuroImage, 2016 - Elsevier
Recent efforts to model human brain activity on the scale of the whole brain rest on
connectivity estimates of large-scale networks derived from diffusion magnetic resonance …