How membrane curvature influences lipid distribution is under intensive research. In this short report, after a brief review of recent studies, the results of our coarse-grained (CG) molecular dynamics simulations of membranes with “hemifused ribbons” geometry are discussed. When membranes of a binary mixture of (dipalmitoyl-phosphatidylcholine (DPPC) / dioleoyl-phosphatidylethanolamine (DOPE) ...

in this paper, the time-like hyperruled surfaces in the minkowski 4-space and their algebraicinvariants are worked. also some characteristic results are found about these algebraic invariants.

soil and land information is vital for land use planning and infrastructure development. maps of soils landscapes are powerful tools to guide sustainable planning and natural resource management. fuzzy set theory has been widely used in soil science for soil classification and mapping, land evaluation, fuzzy soil geostatistics, soil quality indices. in fuzzy logic-based approaches, soil spatial...

We establish a new relationship between total curvature of knots and crossing number. If K is a smooth knot in R 3 , R the cross-section radius of a uniform tube neighborhood K, L the arclength of K, and κ the total curvature of K, then crossing number of K < 4 L R κ. The proof generalizes to show that for smooth knots in R 3 , the crossing number, writhe, Möbius Energy, Normal Energy, and Symm...