The abc-conjecture is true for at least $N(c), 1 \leq N(c) <φ(c)/2$, partitions a, b of c [PDF]
We prove that for any positive integer c there are at least N(c), $1\leq N(c) < \phi(c)/2$ representations of c as a sum of two positive integers a, b, with no common divisor, such that the N(c) radicals R(abc) are all greater than kc, where k an absolute constant.
arxiv
Several extremal problems on graphs involving the circumference, girth, and hyperbolicity constant [PDF]
To compute the hyperbolicity constant is an almost intractable problem, thus it is natural to try to bound it in terms of some parameters of the graph. Let $\mathcal{G}(g,c,n)$ be the set of graphs $G$ with girth $g(G)=g$, circumference $c(G)=c$, and $n$ vertices; and let $\mathcal{H}(g,c,m)$ be the set of graphs with girth $g$, circumference $c$, and $
arxiv
Synthesis and Evaluation of Fluorogenic Substrates for Phospholipase D and Phospholipase C [PDF]
Fluorogenic analogues of phosphatidylcholine and lysophosphatidylcholine, DDPB and lysoDDPB, were synthesized by an enzyme-assisted strategy. The analogues were evaluated as substrates for phospholipases C and D and lysophospholipase D. DDPB was cleaved by bacterial and plant phospholipase D (PLD) enzymes and represents the first direct fluorogenic ...
Tyler M. Rose, Glenn D. Prestwich
openaire +3 more sources
Oocyte activation, phospholipase C zeta and human infertility.
BACKGROUND Mammalian oocytes are activated by intracellular calcium (Ca(2+)) oscillations following gamete fusion. Recent evidence implicates a sperm-specific phospholipase C zeta, PLCζ, which is introduced into the oocyte following membrane fusion, as ...
J. Kashir+5 more
semanticscholar +1 more source
INTRODUCTION: The phospholipase activity in Candida albicans and Candida dubliniensis isolated from oral candidiasis cases were studied. METHODS: The phospholipase activity was evaluated in egg yolk agar. RESULTS: All the C.
Liliane Alves Scheid+6 more
doaj +1 more source
Single-parton scattering versus double-parton scattering in the production of two $c \bar c$ pairs and charmed meson correlations at the LHC [PDF]
We compare results of exact calculations of single parton scattering (SPS) and double parton scattering (DPS) for production of $c \bar c c \bar c$ and for $D$ meson correlations. The SPS calculations are performed in collinear approximation with exact matrix element for $g g \to c \bar c c \bar c$ and $q \bar q \to c \bar c c \bar c$ subprocesses.
arxiv +1 more source
Regulation of nuclear phospholipase C activity.
A body of evidence, linking inositide-specific phospholipase C (PI-PLC) to the nucleus, is quite extensive. The main isoform in the nucleus is PI-PLCbeta1, whose activity is up-regulated in response to insulin-like growth factor-1 (IGF-1) or insulin stimulation.
MANZOLI, LUCIA+3 more
openaire +6 more sources
Phospholipase C beta 1 deficiency is associated with early-onset epileptic encephalopathy.
The epileptic encephalopathies of infancy and childhood are a collection of epilepsy disorders characterized by refractory, severe seizures and poor neurological outcome, in which the mechanism of disease is poorly understood.
M. Kurian+16 more
semanticscholar +1 more source
Cluster-tilted algebras as trivial extensions [PDF]
Given a finite dimensional algebra $C$ (over an algebraically closed field) of global dimension at most two, we define its relation-extension algebra to be the trivial extension $C\ltimes \Ext_C^2(DC,C)$ of $C$ by the $C$-$C$-bimodule $\Ext_C^2(DC,C)$. We give a construction for the quiver of the relation-extension algebra in case the quiver of $C$ has
arxiv
Multiple roles of phosphoinositide-specific phospholipase C isozymes.
Phosphoinositide-specific phospholipase C is an effector molecule in the signal transduction process. It generates two second messengers, inositol-1,4,5-trisphosphate and diacylglycerol from phosphatidylinositol 4,5-bisphosphate.
P. Suh+9 more
semanticscholar +1 more source