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Different underlying properties of the protein families are uncovered by operating the proposed graph based features at various pyramid levels.

By embedding the molecular ensemble in a graph based on geometric similarity, and projecting the individual structures onto a manifold that preserves nearest-neighbor geometric relations of this graph, we are able to distinguish globally organized configurations, termed mesostates, from groups of structures comprised of unrelated conformations (Methods).

In the process of Bayesian network structure learning, the most likely graph G for a given data set D can be inferred by searching for the optimal graph based on a Bayesian scoring metric.

Thus, we can describe a gene network by a directed graph based on the coefficient matrix B where nodes represent genes and edges show functional connectivities.

By discretizing the range of feasible shell diameters starting from the initial blank diameter down to the final shell diameter, the feasible transitions from state to another is represented by a directed graph, based upon which the DP functional equation is easily defined.

By contrast, graph based approaches seem to require special attention toward evolutionary operators and environmental cues for similar tasks [24], [25].

This definition overcomes limitations of purely graph based analyses of metabolism by exploiting the functional links between reactions.

The proposed graph based modeling, has an extra advantage that the relationship between protein families can also be found by finding the corresponding inter-graph similarities.

Meta-Velvet and Meta-IDBA can distinguish reads from different species by partitioning the de Brujin graph based on k-mer coverage and separately assemble each sub-graph.

In April 2014, we added a new experimental feature for performing integrated pathway analysis for multiple genomic data types by adapting a factor graph based approach called "PARADIGM" into ReactomeFIViz.

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