Abstract In this article, we study the sharp profiles of positive solutions to diffusive logistic equation. By employing parameters and analyzing corresponding perturbation equations, find effects boundary spatial heterogeneity on solutions. The main results exhibit between conditions linear/nonlinear heterogeneities

We consider a two-component system of cubic nonlinear Schrödinger equations in one space dimension. show that each component the solutions to this behaves like free solution large time and scattering profiles satisfy crucially restricted condition. This restriction results from non-trivial long-range interactions.

With advances in high throughput measurement techniques, large-scale biological data have been and will continuously be produced, for example, gene expression data, protein-protein interaction (PPI) data, tandem mass spectra data, microRNA expression data, lncRNA expression data, and biomolecule-disease association data. Such data contain insightful information for understanding the mechanism o...

A strategy is presented that allows a causal analysis of co-expressed genes, which may be subject to common regulatory influences. A state-of-the-art promoter analysis for potential transcription factor (TF) binding sites in combination with a knowledge-based analysis of the upstream pathway that control the activity of these TFs is shown to lead to hypothetical master regulators. This strategy...

Research Theme 1. Quantification of trace amount of proteins (Etsuro Ito, Mika Morikawa, Mugiho Kaneda) We are developing the method to detect and quantify very tiny amount of a given protein in a small volume, such as in a single cell. We aim at establishing an enterprise to commercialize protein quantification reagents and kits based on this technique. Using our “enzyme cycling method”, it is...

[1] We present a novel explanation of the physical processes behind one type of cloud and ground-level tornadogenesis within a supercell. We point out that the charge separation naturally found in these large thunderstorms can potentially serve to contract the preexisting angular momentum through the additional process of the electric force. On the basis of this, we present a plausible geometry...

Homomorphic signatures (HS) allows the derivation of the signature of the message-function pair (m, g), where m = g(m1, . . . ,mK), given the signatures of each of the input messages mk signed under the same key. Multi-key HS (M-HS) introduced by Fiore et al. (ASIACRYPT’16) further enhances the utility by allowing evaluation of signatures under different keys. While the unforgeability of existi...

Recent developments in voting theory show that Condorcet profiles embedded in electorates are responsible for conflicts between pairwise voting methods and for reversals of rankings under positional methods whenever candidates are dropped or added. Because of the strong symmetry of the rankings of the candidates within these profiles, it can be argued that Condorcet profiles represent complete ...