For an element $\Psi$ in the graded vector space $\Omega^*(M, TM)$ of tangent bundle valued forms on a smooth manifold $M$, $\Psi$-submanifold is defined as submanifold $N$ $M$ such that $\Psi_{|N} \in \Omega^*(N, TN)$. The class $\Psi$-submanifolds encompasses calibrated submanifolds, complex submanifolds and all Lie subgroups compact groups. carries natural algebra structure, given by Frolich...

Nieft and Deuel (1, 2) found that in rat liver and intestinal mucosa two different opposing systems were responsible for the synthesis and hydrolysis of cholesterol esters. The esterifying system required the presence of phosphate ion and a fatty acid source. The hydrolytic system consisted of at least two factors and its activity was accentuated by soy bean lecithin. While their extracts were ...

Cupriavidus necator has a wide metabolic range and naturally creates biopolymer, poly[(R)-3 hydroxybutyrate] (PHB). Using engineering techniques, carbon flux can be directed away from PHB synthesis toward the generation of biofuels bioproducts.Researchers demonstrated production many biofuel products using C. necator, including methyl ketones, isoprenoids terpenes, isobutanol, alkanes alkenes, ...