Machine learning with data assimilation and uncertainty quantification for dynamical systems: a review
Data assimilation (DA) and uncertainty quantification (UQ) are extensively used in analysing
and reducing error propagation in high-dimensional spatial-temporal dynamics. Typical …
and reducing error propagation in high-dimensional spatial-temporal dynamics. Typical …
[PDF][PDF] Neural Field Models: A mathematical overview and unifying framework
BJ Cook, ADH Peterson, W Woldman… - Mathematical …, 2022 - mna.episciences.org
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 …
What models and tools can contribute to a better understanding of brain activity?
Despite impressive scientific advances in understanding the structure and function of the
human brain, big challenges remain. A deep understanding of healthy and aberrant brain …
human brain, big challenges remain. A deep understanding of healthy and aberrant brain …
[HTML][HTML] Emulating dynamic non-linear simulators using Gaussian processes
The dynamic emulation of non-linear deterministic computer codes where the output is a
time series, possibly multivariate, is examined. Such computer models simulate the …
time series, possibly multivariate, is examined. Such computer models simulate the …
Classifying included and excluded exons in exon skipping event using histone modifications
Alternative splicing (AS) not only ensures the diversity of gene expression products, but also
closely correlated with genetic diseases. Therefore, knowledge about regulatory …
closely correlated with genetic diseases. Therefore, knowledge about regulatory …
The role that choice of model plays in predictions for epilepsy surgery
Mathematical modelling has been widely used to predict the effects of perturbations to brain
networks. An important example is epilepsy surgery, where the perturbation in question is …
networks. An important example is epilepsy surgery, where the perturbation in question is …
EEG generation mechanism of lower limb active movement intention and its virtual reality induction enhancement: a preliminary study
R Dong, X Zhang, H Li, G Masengo, A Zhu… - Frontiers in …, 2024 - frontiersin.org
Introduction Active rehabilitation requires active neurological participation when users use
rehabilitation equipment. A brain-computer interface (BCI) is a direct communication …
rehabilitation equipment. A brain-computer interface (BCI) is a direct communication …
Control of epileptic activities in a cortex network of multiple coupled neural populations under electromagnetic induction
Z Sun, Y Liu, X Yang, W Xu - Applied Mathematics and Mechanics, 2023 - Springer
Epilepsy is believed to be associated with the abnormal synchronous neuronal activity in the
brain, which results from large groups or circuits of neurons. In this paper, we choose to …
brain, which results from large groups or circuits of neurons. In this paper, we choose to …
Sensitivity-analysis-guided Bayesian parameter estimation for neural mass models: Applications in epilepsy
NP Subramaniyam, J Hyttinen - Physical Review E, 2024 - APS
It is well established that neural mass models (NMMs) can effectively simulate the
mesoscopic and macroscopic dynamics of electroencephalography (EEG), including …
mesoscopic and macroscopic dynamics of electroencephalography (EEG), including …
Predictive neuromodulation of cingulo-frontal neural dynamics in major depressive disorder using a brain-computer interface system: A simulation study
Introduction Deep brain stimulation (DBS) is a promising therapy for treatment-resistant
major depressive disorder (MDD). MDD involves the dysfunction of a brain network that can …
major depressive disorder (MDD). MDD involves the dysfunction of a brain network that can …