Aldous and Fill conjectured that the maximum relaxation time for random walk on a connected regular graph with n $n$ vertices is ( 1 + o ) 3 2 ? $(1+o(1))\frac{3{n}^{2}}{2{\pi }^{2}}$ . This conjecture can be rephrased in terms of spectral gap as follows: (algebraic connectivity) k $k$ -regular at least $(1+o(1))\frac{2k{\pi }^{2}}{3{n}^{2}}$ , bound attained one value We determine structure qu...

Phosphatidylinositol 4,5-bisphosphate (PI(4,5)P(2)) plays a central role in regulating the actin cytoskeleton as a substrate for phosphoinositide 3-kinase and phospholipase C as well as by binding directly to proteins that control the processes of actin monomer sequestration, filament severing, capping, nucleation, cross-linking, and bundling (Ma, L., Cantley, L. C., Janmey, P. A., and Kirschne...

Luminal pH and phosphoinositide content are fundamental features of organelle identity. Vacuolar H+-ATPases (V-ATPases) drive organelle acidification in all eukaryotes, and membrane-bound a-subunit isoforms of the V-ATPase are implicated in organelle-specific targeting and regulation. Earlier work demonstrated that the endolysosomal lipid PI(3,5)P2 activates V-ATPases containing the vacuolar a-...

Abstract This research is aimed to detect the area in paddy field that have damage leaves. It hard check disease and pest infestation by human vision. Position of viewer into damaged leaves does ensure see intact field. In this UAV was utilized take picture healthy from above. Aerial position will benefit completely seen. To healthiness leave area, attached Rasberry Pi 4, installed image proces...

The problem under investigation contains a computational simulation of a specific heat exchanger with complex geometry fins. The problem solved is potentially interesting for researchers and engineers working on solar collectors and aerospace industry. It is known that heat transfer enhancement can be achieved by creating longitudinal vortices in the flow. These vortices can be generated by arc...