7,444 research outputs found
Towards a Multi-Subject Analysis of Neural Connectivity
Directed acyclic graphs (DAGs) and associated probability models are widely
used to model neural connectivity and communication channels. In many
experiments, data are collected from multiple subjects whose connectivities may
differ but are likely to share many features. In such circumstances it is
natural to leverage similarity between subjects to improve statistical
efficiency. The first exact algorithm for estimation of multiple related DAGs
was recently proposed by Oates et al. 2014; in this letter we present examples
and discuss implications of the methodology as applied to the analysis of fMRI
data from a multi-subject experiment. Elicitation of tuning parameters requires
care and we illustrate how this may proceed retrospectively based on technical
replicate data. In addition to joint learning of subject-specific connectivity,
we allow for heterogeneous collections of subjects and simultaneously estimate
relationships between the subjects themselves. This letter aims to highlight
the potential for exact estimation in the multi-subject setting.Comment: to appear in Neural Computation 27:1-2
Advancing functional connectivity research from association to causation
Cognition and behavior emerge from brain network interactions, such that investigating causal interactions should be central to the study of brain function. Approaches that characterize statistical associations among neural time series-functional connectivity (FC) methods-are likely a good starting point for estimating brain network interactions. Yet only a subset of FC methods ('effective connectivity') is explicitly designed to infer causal interactions from statistical associations. Here we incorporate best practices from diverse areas of FC research to illustrate how FC methods can be refined to improve inferences about neural mechanisms, with properties of causal neural interactions as a common ontology to facilitate cumulative progress across FC approaches. We further demonstrate how the most common FC measures (correlation and coherence) reduce the set of likely causal models, facilitating causal inferences despite major limitations. Alternative FC measures are suggested to immediately start improving causal inferences beyond these common FC measures
Disentangling causal webs in the brain using functional Magnetic Resonance Imaging: A review of current approaches
In the past two decades, functional Magnetic Resonance Imaging has been used
to relate neuronal network activity to cognitive processing and behaviour.
Recently this approach has been augmented by algorithms that allow us to infer
causal links between component populations of neuronal networks. Multiple
inference procedures have been proposed to approach this research question but
so far, each method has limitations when it comes to establishing whole-brain
connectivity patterns. In this work, we discuss eight ways to infer causality
in fMRI research: Bayesian Nets, Dynamical Causal Modelling, Granger Causality,
Likelihood Ratios, LiNGAM, Patel's Tau, Structural Equation Modelling, and
Transfer Entropy. We finish with formulating some recommendations for the
future directions in this area
Increasing robustness of pairwise methods for effective connectivity in Magnetic Resonance Imaging by using fractional moment series of BOLD signal distributions
Estimating causal interactions in the brain from functional magnetic
resonance imaging (fMRI) data remains a challenging task. Multiple studies have
demonstrated that all current approaches to determine direction of connectivity
perform poorly even when applied to synthetic fMRI datasets. Recent advances in
this field include methods for pairwise inference, which involve creating a
sparse connectome in the first step, and then using a classifier in order to
determine the directionality of connection between of every pair of nodes in
the second step. In this work, we introduce an advance to the second step of
this procedure, by building a classifier based on fractional moments of the
BOLD distribution combined into cumulants. The classifier is trained on
datasets generated under the Dynamic Causal Modeling (DCM) generative model.
The directionality is inferred based upon statistical dependencies between the
two node time series, e.g. assigning a causal link from time series of low
variance to time series of high variance. Our approach outperforms or performs
as well as other methods for effective connectivity when applied to the
benchmark datasets. Crucially, it is also more resilient to confounding effects
such as differential noise level across different areas of the connectome.Comment: 41 pages, 12 figure
A blind deconvolution approach to recover effective connectivity brain networks from resting state fMRI data
A great improvement to the insight on brain function that we can get from
fMRI data can come from effective connectivity analysis, in which the flow of
information between even remote brain regions is inferred by the parameters of
a predictive dynamical model. As opposed to biologically inspired models, some
techniques as Granger causality (GC) are purely data-driven and rely on
statistical prediction and temporal precedence. While powerful and widely
applicable, this approach could suffer from two main limitations when applied
to BOLD fMRI data: confounding effect of hemodynamic response function (HRF)
and conditioning to a large number of variables in presence of short time
series. For task-related fMRI, neural population dynamics can be captured by
modeling signal dynamics with explicit exogenous inputs; for resting-state fMRI
on the other hand, the absence of explicit inputs makes this task more
difficult, unless relying on some specific prior physiological hypothesis. In
order to overcome these issues and to allow a more general approach, here we
present a simple and novel blind-deconvolution technique for BOLD-fMRI signal.
Coming to the second limitation, a fully multivariate conditioning with short
and noisy data leads to computational problems due to overfitting. Furthermore,
conceptual issues arise in presence of redundancy. We thus apply partial
conditioning to a limited subset of variables in the framework of information
theory, as recently proposed. Mixing these two improvements we compare the
differences between BOLD and deconvolved BOLD level effective networks and draw
some conclusions
Task-related edge density (TED) - a new method for revealing large-scale network formation in fMRI data of the human brain
The formation of transient networks in response to external stimuli or as a
reflection of internal cognitive processes is a hallmark of human brain
function. However, its identification in fMRI data of the human brain is
notoriously difficult. Here we propose a new method of fMRI data analysis that
tackles this problem by considering large-scale, task-related synchronisation
networks. Networks consist of nodes and edges connecting them, where nodes
correspond to voxels in fMRI data, and the weight of an edge is determined via
task-related changes in dynamic synchronisation between their respective times
series. Based on these definitions, we developed a new data analysis algorithm
that identifies edges in a brain network that differentially respond in unison
to a task onset and that occur in dense packs with similar characteristics.
Hence, we call this approach "Task-related Edge Density" (TED). TED proved to
be a very strong marker for dynamic network formation that easily lends itself
to statistical analysis using large scale statistical inference. A major
advantage of TED compared to other methods is that it does not depend on any
specific hemodynamic response model, and it also does not require a
presegmentation of the data for dimensionality reduction as it can handle large
networks consisting of tens of thousands of voxels. We applied TED to fMRI data
of a fingertapping task provided by the Human Connectome Project. TED revealed
network-based involvement of a large number of brain areas that evaded
detection using traditional GLM-based analysis. We show that our proposed
method provides an entirely new window into the immense complexity of human
brain function.Comment: 21 pages, 11 figure
Comparing families of dynamic causal models
Mathematical models of scientific data can be formally compared using Bayesian model evidence. Previous applications in the biological sciences have mainly focussed on model selection in which one first selects the model with the highest evidence and then makes inferences based on the parameters of that model. This “best model” approach is very useful but can become brittle if there are a large number of models to compare, and if different subjects use different models. To overcome this shortcoming we propose the combination of two further approaches: (i) family level inference and (ii) Bayesian model averaging within families. Family level inference removes uncertainty about aspects of model structure other than the characteristic of interest. For example: What are the inputs to the system? Is processing serial or parallel? Is it linear or nonlinear? Is it mediated by a single, crucial connection? We apply Bayesian model averaging within families to provide inferences about parameters that are independent of further assumptions about model structure. We illustrate the methods using Dynamic Causal Models of brain imaging data
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