The governing differential equations are expanded functionally by Fréchet series, leading to a set of differential equations with constant coefficients, from which the unknown field is found successively to any desirable degree of accuracy.
Saprolegnia and Phytophthora species have developed, expanded and functionally diversified a subfamily of receptors that are structurally, but not phylogenetically, related to plant LRR-RLKs.
Alpha keratins, a subtype of intermediate filaments found in the epithelia of all vertebrates, have expanded and functionally diversified in amniotes through gene duplication [ 7].
More evidence for the implications of such ncRNAs in aging will become more apparent as the field expands to functionally characterize each novel ncRNA.
This indicates that even in the expanded and functionally diverse network, this attribute still holds true, supporting a previously unsuspected role in stem cell biology for some of the proteins we identify here.
> -wrap-foot> Our study, empowered by the 20 high-quality mammalian genomes, provides a full picture of how the mammalian RNase A superfamily arose, expanded, and functionally diversified during evolution.
Enzyme families may adopt alternative mechanisms to expand their functional repertoire, such as associating with limited but functionally diverse modules and other proteins or effecting changes in key amino acid residues.
Firstly it may be advantageous for essential genes to functionally expand using alternative splicing.
These results suggest that different types of luminal alveolar progenitors may exist within the breast to functionally expand the lobules.
The human breast undergoes extensive remodeling following birth through pregnancy and lactation, suggesting the presence of a cellular hierarchy to functionally expand the epithelium.
