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We take the classical graph term 'maximal biclique' to model the molecular topology of contact residues tightly packed in close vicinity between a pair of interacting protein chains.
[Here, a pair of residues contact to each other if there exists a pair of atoms whose distance is below the sum of their corresponding van der Waals radii plus the diameter (2.75 Å) of a water molecule.] We take the classical graph term 'biclique' (Eppstein, 1994) to denote this molecular topology, and call it 'biclique pattern'.
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Overall, the network contained 1078 unique domains (or in graph terms, nodes), with 4242 connections (also known as directed graph edges) between them.
In contrast to other general purpose mathematical programming methods, this innovative approach is designed to cope with the spscificities of a process system: it represents the structure of a process system by a unique bipartite graph, termed a P-graph, and captures not only the syntactic but also the semantic contents of the process system.
Formally, the reactions and diffusion form a graph term-rewriting system, which is fully evaluated to generate the simulator.
In each graph, terms describing the various IPA Core and Toxicity Pathways are shown on the left x-axis.
The multi-genome anchors are used to define vertices in a new directed graph, termed the anchor graph that is used to identify boundaries of LCBs.
It would be useful to define what some of the graph terms mean such as acyclic/cycles for those who are not familiar with the terminology.
Typically, gene networks may contain hundreds of thousands of subgraphs, corresponding to the cluster of similar sequences, or connected components in graph terms (see next section).
The procedure first builds a graph, termed the anchor graph (Fig. 2, bottom), that enables easy identification of collinear regions by traversing simple paths comprised of anchors with exactly two incident edges (Fig. 3a).
The IT pathway structure (information extracted from the literature) was encoded into a directed graph (termed G; fig. 1 A ) with nodes and arcs representing proteins and activatory/inhibitory interactions, respectively.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com