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Instantaneous Brain Dynamics Mapped to a Continuous State Space [article]

Jacob Billings, Alessio Medda, Sadia Shakil, Xiaohong Shen, Amrit Kashyap, Shiyang Chen, Anzar Abbas, Xiaodi Zhang, Maysam Nezafati, Wen-Ju Pan, Gordon Berman, Shella Keilholz
2017 bioRxiv   pre-print
The correlation distance over the instantaneous wavelet-ICA state vectors is a graph that may be embedded onto a lower-dimensional space to assist the interpretation of state-space dynamics.  ...  Applying this procedure to a large sample of resting and task data (acquired through the Human Connectome Project), we segment the empirical state space into a continuum of stimulus-dependent brain states  ...  a natural means to segment instantaneous brain-states.  ... 
doi:10.1101/157115 fatcat:3iau2rbddvgttbl7zphbiueooi

Instantaneous brain dynamics mapped to a continuous state space

Jacob C.W. Billings, Alessio Medda, Sadia Shakil, Xiaohong Shen, Amrit Kashyap, Shiyang Chen, Anzar Abbas, Xiaodi Zhang, Maysam Nezafati, Wen-Ju Pan, Gordon J. Berman, Shella D. Keilholz
2017 NeuroImage  
The correlation distance over the instantaneous wavelet-ICA state vectors is a graph that may be embedded onto a lowerdimensional space to assist the interpretation of state-space dynamics.  ...  Applying this procedure to a large sample of resting and task data (acquired through the Human Connectome Project), we segment the empirical state space into a continuum of stimulus-dependent brain states  ...  Dieter Jaeger and the Emory Center for Mind, Brain, and Culture whose Dimensionality Reduction Workshop inspired this work. Special thanks go to Dr.  ... 
doi:10.1016/j.neuroimage.2017.08.042 pmid:28823826 pmcid:PMC5705346 fatcat:6r57wrjhcbfv7barrpkpwgukhu

Towards a computational theory of experience

Tomer Fekete, Shimon Edelman
2011 Consciousness and Cognition  
We then sketch a naturalistic computational theory of qualia, which posits that experience is realized by dynamical activity-space trajectories and that its richness is measured by the representational  ...  We show that the common assumption equating mental content with instantaneous neuronal activation vectors falls short, because it relies on inactive units to define present experience and implies a homogeneous  ...  thank Kat Agres, David Chalmers, Axel Cleeremans, Rick Dale, Barbara Finlay, Rafael Malach, Björn Merker, Thomas Metzinger, Helene Porte, Michael Spivey, and two anonymous reviewers for their comments on a  ... 
doi:10.1016/j.concog.2011.02.010 pmid:21388834 fatcat:6ggbauvu4zb4xh546tkkiomsmy

Lateralization of Directional Brain-Heart Information Transfer during Visual Emotional Elicitation

Alberto Greco, Luca Faes, Vincenzo Catrambone, Riccardo Barbieri, Enzo Pasquale Scilingo, Gaetano Valenza
2019 American Journal of Physiology. Regulatory Integrative and Comparative Physiology  
Our results further reveal a correlation between emotional valence and lateralization of the dynamical information transfer going from brain-to-heart, mainly localized in the prefrontal, somatosensory,  ...  Here, we explore brain-heart interactions during visual emotional elicitation in healthy subjects using measures of Granger causality (GC), a widely used descriptor of causal influences between two dynamical  ...  the estimated VAR parameters to state-space analysis.  ... 
doi:10.1152/ajpregu.00151.2018 pmid:31042401 fatcat:3ksx5xwyxnb3vp5yi2dfyexckq

Delay before synchronization and its role in latency of sensory awareness [article]

Adele Peel, Henrik Jeldtoft Jensen
2009 arXiv   pre-print
Too strong tendency for synchronization would in terms of brain dynamics be expected to be a pathological case.  ...  Here we show that for coupled-map systems, the length of the transient prior to synchronization is both dependant on the coupling strength and dynamics of connections: systems with fixed connections and  ...  Too strong tendency for synchronization would in terms of brain dynamics be expected to be a pathological case.  ... 
arXiv:0911.1616v1 fatcat:wgebqpj35vap3odiowx3uzkabq

Simplicial and Topological Descriptions of Human Brain Dynamics

Jacob Billings, Manish Saggar, Jaroslav Hlinka, Shella Keilholz, Giovanni Petri
2021 Network Neuroscience  
To clarify how patterns of brain activity support brain function, one might identify metric spaces that optimally distinguish brain states across experimentally defined conditions.  ...  While, certainly, there are strengths and weaknesses of each brain dynamics metric space, we find that those that track topological features optimally distinguish experimentally defined brain states.  ...  Mapping Brain Dynamics Given a good space for representing brain dynamics, it is possible to map relationships between stereotypical brain states and subtly different conditions.  ... 
doi:10.1162/netn_a_00190 pmid:34189377 pmcid:PMC8233107 fatcat:nqyi4sxx3vcj5dir7ahdy2dloq

NDCN-Brain: An Extensible Dynamic Functional Brain Network Model

Zhongyang Wang, Junchang Xin, Qi Chen, Zhiqiong Wang, Xinlei Wang
2022 Diagnostics  
Then, limited by the length of the fMRI signal, it is difficult to show every instantaneous moment in the construction of a dynamic network and there is a lack of effective prediction of the dynamic changes  ...  The model utilizes the ability of extracting and predicting the instantaneous state of the dynamic network of neural dynamics on complex networks (NDCN) and constructs a dynamic network model structure  ...  Moreover, to further increase the express ability of our model, NDCN encodes the network signal X(t) from the original space to X h (t) in a hidden space, and learn the dynamics in such a hidden space.  ... 
doi:10.3390/diagnostics12051298 pmid:35626453 pmcid:PMC9142118 fatcat:reeewotrbbervix2mnklzu4i4a

Fundamental Dynamical Modes Underlying Human Brain Synchronization

Catalina Alvarado-Rojas, Michel Le Van Quyen
2012 Computational and Mathematical Methods in Medicine  
In this space, transitions between behavioral states occur through specific trajectories from one mode to another.  ...  Here, we suggest that a compact yet useful representation is given by a state space based on the first principal components.  ...  Our state-space representation of global brain dynamics may help to identify pathological alterations in large-scale patterns.  ... 
doi:10.1155/2012/912729 pmid:22811753 pmcid:PMC3395243 fatcat:vpqsnnn3jbaqjiihnhiq4sk5oe

Combining electroencephalographic activity and instantaneous heart rate for assessing brain–heart dynamics during visual emotional elicitation in healthy subjects

G. Valenza, A. Greco, C. Gentili, A. Lanata, L. Sebastiani, D. Menicucci, A. Gemignani, E. P. Scilingo
2016 Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences  
One contribution of 16 to a theme issue 'Uncovering brain-heart information through advanced signal and image processing' .  ...  Considering emotions as continuous traits, each state can be described and mapped in a multidimensional space, portraying different psychophysiological and neurobiological underpinnings [30, 38, 39] .  ...  To conclude, we demonstrated that a point-to-point linear and nonlinear correlation measure between instantaneous heartbeat dynamics and EEG time-varying spectra may be a feasible method to understand  ... 
doi:10.1098/rsta.2015.0176 pmid:27044990 pmcid:PMC4822439 fatcat:mjouvyajzra6vi6xin4kdm5d2m

The entropy of chaotic transitions of EEG phase growth in bipolar disorder with lithium carbonate

Rüştü Murat Demirer, Sermin Kesebir
2021 Scientific Reports  
A phase growth constant parameter was performed to determine the bifurcation parameter of von Bertalanffy's model at each given non-overlapped EEG segment.  ...  We propose a new approach on chaos necessary for proof of EEG metastability.  ...  Acknowledgements We are grateful to our patients and our institution.  ... 
doi:10.1038/s41598-021-91350-9 pmid:34088967 pmcid:PMC8178301 fatcat:npzhl25sqbhqzno5i6asisu5qm

Decoding brain states on the intrinsic manifold of human brain dynamics across wakefulness and sleep [article]

Joan Rue-Queralt, Angus Stevner, Enzo Tagliazucchi, Helmut Laufs, Morten L Kringelbach, Gustavo Deco, Selen Atasoy
2021 bioRxiv   pre-print
Here we present a novel method to reveal the low dimensional intrinsic manifold underlying human brain dynamics, which is invariant of the high dimensional spatio-temporal representation of the neuroimaging  ...  Current state-of-the-art functional magnetic resonance imaging (fMRI) offers remarkable imaging quality and resolution, yet, the intrinsic dimensionality of brain dynamics in different states (wakefulness  ...  To this end, we first estimate a state representation defined by the time-resolved FC matrix in phase space termed "coherence connectivity dynamics".  ... 
doi:10.1101/2021.03.23.436551 fatcat:ufhayvi67fhzxdv6nti2htx22e

Bayesian mechanics of perceptual inference and motor control in the brain [article]

Chang Sub Kim
2020 arXiv   pre-print
To demonstrate the utility of our approach, we adopt a simple agent-based model and present a concrete numerical illustration of the brain performing recognition dynamics by integrating BM in neural phase  ...  Furthermore, we recapitulate the major theoretical architectures in the FEP by comparing our approach with the common state-space formulations.  ...  The instantaneous values of µ and p correspond to a point in the brain's perceptual state space, and the continuous solution over a temporal horizon forms an optimal trajectory that minimizes the theoretical  ... 
arXiv:2008.09927v2 fatcat:wumcrfcd3vcbrl6sxdek5ixst4

Tracking the Brain State Transition Process of Dynamic Function Connectivity Based on Resting State fMRI

Chang Liu, Jie Xue, Xu Cheng, Weiwei Zhan, Xin Xiong, Bin Wang
2019 Computational Intelligence and Neuroscience  
BOLD-fMRI technology provides a good foundation for the research of human brain dynamic functional connectivity and brain state analysis.  ...  According to the results, the transition of status always lasts for a few time points, and a brain state network model with both steady state and transition state is presented.  ...  and establishes the instantaneous conversion rate model to observe the transition trend of dynamic brain network state.  ... 
doi:10.1155/2019/9027803 pmid:31687008 pmcid:PMC6800976 fatcat:gdxki26wq5hurmomj7vkl6ooiy

Neural Integro-Differential Equations [article]

Emanuele Zappala, Antonio Henrique de Oliveira Fonseca, Andrew Henry Moberly, Michael James Higley, Chadi Abdallah, Jessica Cardin, David van Dijk
2022 arXiv   pre-print
Modeling continuous dynamical systems from discretely sampled observations is a fundamental problem in data science.  ...  Finally, the integrand of the integral operator provides a latent space that gives insight into the underlying dynamics, which we demonstrate on wide-field brain imaging recordings.  ...  This allows us to learn dynamics in the latent space. The kernel then maps the latent space back to the original data space.  ... 
arXiv:2206.14282v3 fatcat:pnwpeyox7nf2nmu54sz2xhmdru

Modeling of dynamic cerebrovascular reactivity to spontaneous and externally induced CO2 fluctuations in the human brain using BOLD-fMRI [article]

Prokopis C. Prokopiou, Kyle T. S. Pattinson, Richard G. Wise, Georgios D. Mitsis
2017 bioRxiv   pre-print
To obtain CVR curves at each voxel, we use a custom set of basis functions based on the Laguerre and gamma basis sets.  ...  We also implement classification schemes to identify brain regions with similar dCVR characteristics.  ...  KP has acted as a consultant for Nektar Therapeutics. The work for Nektar has no bearing on the contents of this manuscript.  ... 
doi:10.1101/176891 fatcat:gqfcpfz2ufg7hovvsarxnfqhiu
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