5,576 research outputs found
Generative models of the human connectome
The human connectome represents a network map of the brain's wiring diagram
and the pattern into which its connections are organized is thought to play an
important role in cognitive function. The generative rules that shape the
topology of the human connectome remain incompletely understood. Earlier work
in model organisms has suggested that wiring rules based on geometric
relationships (distance) can account for many but likely not all topological
features. Here we systematically explore a family of generative models of the
human connectome that yield synthetic networks designed according to different
wiring rules combining geometric and a broad range of topological factors. We
find that a combination of geometric constraints with a homophilic attachment
mechanism can create synthetic networks that closely match many topological
characteristics of individual human connectomes, including features that were
not included in the optimization of the generative model itself. We use these
models to investigate a lifespan dataset and show that, with age, the model
parameters undergo progressive changes, suggesting a rebalancing of the
generative factors underlying the connectome across the lifespan.Comment: 38 pages, 5 figures + 19 supplemental figures, 1 tabl
Characterising group-level brain connectivity: A framework using Bayesian exponential random graph models.
The brain can be modelled as a network with nodes and edges derived from a range of imaging modalities: the nodes correspond to spatially distinct regions and the edges to the interactions between them. Whole-brain connectivity studies typically seek to determine how network properties change with a given categorical phenotype such as age-group, disease condition or mental state. To do so reliably, it is necessary to determine the features of the connectivity structure that are common across a group of brain scans. Given the complex interdependencies inherent in network data, this is not a straightforward task. Some studies construct a group-representative network (GRN), ignoring individual differences, while other studies analyse networks for each individual independently, ignoring information that is shared across individuals. We propose a Bayesian framework based on exponential random graph models (ERGM) extended to multiple networks to characterise the distribution of an entire population of networks. Using resting-state fMRI data from the Cam-CAN project, a study on healthy ageing, we demonstrate how our method can be used to characterise and compare the brain's functional connectivity structure across a group of young individuals and a group of old individuals
Statistical models of complex brain networks: a maximum entropy approach
The brain is a highly complex system. Most of such complexity stems from the
intermingled connections between its parts, which give rise to rich dynamics
and to the emergence of high-level cognitive functions. Disentangling the
underlying network structure is crucial to understand the brain functioning
under both healthy and pathological conditions. Yet, analyzing brain networks
is challenging, in part because their structure represents only one possible
realization of a generative stochastic process which is in general unknown.
Having a formal way to cope with such intrinsic variability is therefore
central for the characterization of brain network properties. Addressing this
issue entails the development of appropriate tools mostly adapted from network
science and statistics. Here, we focus on a particular class of maximum entropy
models for networks, i.e. exponential random graph models (ERGMs), as a
parsimonious approach to identify the local connection mechanisms behind
observed global network structure. Efforts are reviewed on the quest for basic
organizational properties of human brain networks, as well as on the
identification of predictive biomarkers of neurological diseases such as
stroke. We conclude with a discussion on how emerging results and tools from
statistical graph modeling, associated with forthcoming improvements in
experimental data acquisition, could lead to a finer probabilistic description
of complex systems in network neuroscience.Comment: 34 pages, 8 figure
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