Motivated by geometrical graph-based models developed in our prior work, we use the shape information in the graph topology sense to enhance the registration performance.
We established links between cells to model cell-to-cell interaction in a graph theoretical sense using the cell-graph methodology.
The CFP approach searches for simple paths (in the graph theoretical sense) between a given pair of source/target metabolites.
RSFC-Snowballing is an iterative procedure that uses seed-based RSFC to identify locations correlated with a starting seed location (i.e., the "neighbors" of the seed, in a graph theoretic sense), then identifies the neighbors of the neighbors, and so forth.
The edges in the graph represent sensing and communication.
Conductivity vs. time and reverse of conductivity vs. time graph for sensing of ammonia vapours on PPy ZrP in Fig. 12a and b shows straight line pattern in which Fig. 12b most resembles the second-order reaction.
Molecular structure graphs have strong properties that can be exploited [4], e.g., they are undirected, have no self-loops and no multiple edges, are connected (except for salts), annotated, often planar in the graph-theoretic sense, and their vertex degree is bounded by a small constant.
Thus, the Yeast 5 GEM includes hypothetical transport reactions to better connect portions of the metabolic network that are unconnected in a graph-theoretical sense.
First, we identified clusters of unreachable metabolites; that is, clusters of metabolites that are disconnected from the extracellular medium, in a graph-theoretic sense, and thus cannot ever be produced by the reaction network.
Then it will further look for a negative path and while running through the negative circuit, it would find, in total, a negative walk from i to k which is, however, not a path in the graph-theoretical sense (k is visited twice) and has therefore to be discarded.
