Personalized dynamic network models of the human brain as a future tool for planning and optimizing epilepsy therapy
Epilepsy is a common neurological disorder, with one third of patients not responding to
currently available antiepileptic drugs. The proportion of pharmacoresistant epilepsies has …
currently available antiepileptic drugs. The proportion of pharmacoresistant epilepsies has …
[PDF][PDF] Neural Field Models: A mathematical overview and unifying framework
Mathematical modelling of the macroscopic electrical activity of the brain is highly nontrivial
and requires a detailed understanding of not only the associated mathematical techniques …
and requires a detailed understanding of not only the associated mathematical techniques …
Perspectives on adaptive dynamical systems
Adaptivity is a dynamical feature that is omnipresent in nature, socio-economics, and
technology. For example, adaptive couplings appear in various real-world systems, such as …
technology. For example, adaptive couplings appear in various real-world systems, such as …
Human brain structural connectivity matrices–ready for modelling
The human brain represents a complex computational system, the function and structure of
which may be measured using various neuroimaging techniques focusing on separate …
which may be measured using various neuroimaging techniques focusing on separate …
Population spiking and bursting in next-generation neural masses with spike-frequency adaptation
Spike-frequency adaptation (SFA) is a fundamental neuronal mechanism taking into account
the fatigue due to spike emissions and the consequent reduction of the firing activity. We …
the fatigue due to spike emissions and the consequent reduction of the firing activity. We …
Next generation neural population models
S Coombes - Frontiers in Applied Mathematics and Statistics, 2023 - frontiersin.org
Low-dimensional neural mass models are often invoked to model the coarse-grained activity
of large populations of neurons and synapses and have been used to help understand the …
of large populations of neurons and synapses and have been used to help understand the …
Constructive role of shot noise in the collective dynamics of neural networks
VV Klinshov, PS Smelov, SY Kirillov - Chaos: An Interdisciplinary …, 2023 - pubs.aip.org
Finite-size effects may significantly influence the collective dynamics of large populations of
neurons. Recently, we have shown that in globally coupled networks these effects can be …
neurons. Recently, we have shown that in globally coupled networks these effects can be …
Shot noise in next-generation neural mass models for finite-size networks
VV Klinshov, SY Kirillov - Physical Review E, 2022 - APS
Neural mass models is a general name for various models describing the collective
dynamics of large neural populations in terms of averaged macroscopic variables. Recently …
dynamics of large neural populations in terms of averaged macroscopic variables. Recently …
Structure-function models of temporal, spatial, and spectral characteristics of non-invasive whole brain functional imaging
We review recent advances in using mathematical models of the relationship between the
brain structure and function that capture features of brain dynamics. We argue the need for …
brain structure and function that capture features of brain dynamics. We argue the need for …
Neurophysiological avenues to better conceptualizing adaptive cognition
We delve into the human brain's remarkable capacity for adaptability and sustained
cognitive functioning, phenomena traditionally encompassed as executive functions or …
cognitive functioning, phenomena traditionally encompassed as executive functions or …