We investigate continuous linear functionals on these cones and introduce a new (modular) topology.
We generate an emulated MANET topology where all nodes are aligned according to a chain topology.
We prove the density of smooth functions in the modular topology in Musielak Orlicz Sobolev spaces essentially extending the results of Gossez [17] obtained in the Orlicz Sobolev setting.
Evolving modular topology facilitates global network efficiency and is driven by age-related strengthening of hub edges present both within and between modules.
The consensus modular topology contained 38 miRNAs and 391 mRNAs.
When considering viral diversity at the genus level, the network displays a modular topology.
The modular topology of the chromatin interactome may also guide GWAS studies to prioritize the SNPs for genotype-phenotype associations.
Each network module is generated using a Modular Topology Model (MTM) network model, each with a size of 25 genes.
Group-level modular topology was spatially investigated by obtaining a "benchmark" healthy modular subdivision, that is, averaging all controls' matrices and performing modularity analysis on this averaged matrix as described previously.
The inferred GRN had a modular topology, comprising five communities of highly interconnected nodes, consisting of genes with different functions, promoter motifs, and physical location in the genome.
