The limiting component within the receptor-G protein-effector complex in airway smooth muscle (ASM) for β(2)-adrenergic receptor (β(2)-AR)-mediated relaxation is unknown. In cardiomyocytes, adenylyl cyclase (AC) is considered the "bottleneck" for β-AR signaling, and gene therapy trials are underway to increase inotropy by increasing cardiac AC expression. We hypothesized that increasing AC in A...

We observe that ω(G) + χ(S( G)) = n = ω(S( G)) + χ(G) for any graph G with n vertices, where G is any acyclic orientation of G and where S( G) is the (complement of the) auxiliary line graph introduced in [1]. (Where as usual, ω and χ denote the clique number and the chromatic number.) It follows that, for any graph parameter β(G) sandwiched between ω(G) and χ(G), then Φβ( G) := n−β(S( G)) is s...

Also let S, S∗ β , CV β , and K denote, respectively, the subclasses of A0 consisting of functions which are univalent, starlike of order β, convex of order β cf. 1 , and close-to-convex cf. 2 in U. In particular, S∗ 0 S∗ and CV 0 CV are the familiar classes of starlike and convex functions in U cf. 2 . Given f and g inA, the function f is said to be subordinate to g in U if there exits a funct...

Production of carotenoids and lipids by Rhodotorula toruloides CBS 14 cultivated on wheat straw hydrolysate was investigated. An ultra-high-performance liquid chromatography (UHPLC) method for carotenoid quantification developed validated. Saponification effects individual were identified, lipid kinetics during cultivation determined. The β-carotene, γ-carotene, torularhodin, torulene identifie...

Abstract. Let k ≥ 2 be an integer. We investigate hamiltonian properties for a k-tree G, a special chordal graph. Instead of studying the toughness condition motivated by a conjecture of Chvátal, we introduce a new parameter, the branch number of G, denoted by β(G). Some results on the relationships between β(G) and other graph parameters will be presented. A path system of G is a subgraph whos...

Large time behavior of solutions to abstract differential equations is studied. The corresponding evolution problem is: u̇ = A(t)u+ F (t, u) + b(t), t ≥ 0; u(0) = u0. (∗) Here u̇ := du dt , u = u(t) ∈ H, H is a Hilbert space, t ∈ R+ := [0,∞), A(t) is a linear dissipative operator: Re(A(t)u, u) ≤ −γ(t)(u, u), γ(t) ≥ 0, F (t, u) is a nonlinear operator, ‖F (t, u)‖ ≤ c0‖u‖, p > 1, c0, p are constant...

Let G := (V,E) be a simple graph; for I ⊆ V we denote by l(I) the number of components of G[I], the subgraph of G induced by I. For V1, . . . , Vn finite subsets of V , we define a function β(V1, . . . , Vn) which is expressed in terms of l `Sn i=1 Vi ́ and l(Vi ∪ Vj) for i ≤ j. If V1, . . . , Vn are pairwise disjoint finite independent subsets of V , the number β(V1, . . . , Vn) can be computed...

We prove a number of Turán and Ramsey type stability results for cycles, in particular, the following one: Let n ≥ 4, 0 < β ≤ 1/2 − 1/2n, and the edges of K ⌊(2−β)n⌋ be 2-colored so that no mononchromatic C n exists. Then, for some q ∈ ((1 − β) n − 1, n) , we may drop a vertex v so that in K ⌊(2−β)n⌋ − v one of the colors induces K q,⌊(2−β)n⌋−q−1 , while the other one induces K q ∪ K ⌊(2−β)n⌋−q...

Actin is present at high concentrations in virtually every eukaryotic cell. About half of the intracellular actin is stabilised in its monomeric form (G-actin) by interaction with sequestering factors (Pollard and Cooper, 1986). This monomeric actin can be used for the fast generation of new actin filaments after an appropriate intra-or extracellular signal (Carlier and Pantaloni, 1994). The β-...