We previously isolated and characterized a cDNA clone specifically expressed in neurons R3 to R8 and R14 of the Aplysia abdominal ganglion (Nambu, J.R., R. Taussig, A.C. Mahon, and R.H. Scheller (1983) Cell 35: 47-56). The cDNA nucleotide sequence and the inferred protein amino acid sequence suggest that this gene encodes the precursor for neuroactive peptides used by these cells. Peptides corr...

This paper deals with the isotropic realizability of a given regular divergence free field j in R3 as a current field, namely to know when j can be written as σ∇u for some isotropic conductivity σ > 0, and some gradient field ∇u. The local isotropic realizability in R3 is obtained by Frobenius’ theorem provided that j and curl j are orthogonal in R3. A counter-example shows that Frobenius’ cond...

where the unknown are u, θ, π which denote, respectively, the velocity field, the scalar temperature and the scalar pressure. Data are the positive constants ν, χ, respectively, the viscosity and the thermal conductivity coefficients and the function f the external force field, and a(x), b(x), respectively, represent the initial velocity and initial temperature. The main objective of this work ...

The Ramsey number rk(s, n) is the minimum N such that every red-blue coloring of the k-tuples of an N -element set contains either a red set of size s or a blue set of size n, where a set is called red (blue) if all k-tuples from this set are red (blue). In this paper we obtain new estimates for several basic hypergraph Ramsey problems. We give a new upper bound for rk(s, n) for k ≥ 3 and s fix...

Anatomical and functional studies of central relaxin-3/RXFP3 systems suggest they constitute an ascending arousal network. For example, relaxin-3 knockout mice display circadian hypoactivity compared to wild type littermate controls. In studies to explore the effect of chronic RXFP3 activation on behaviour, we engineered a lentiviral construct to constitutively secrete the RXFP3 agonist, R3/I5,...

Background: The basic plant material consisted of 9 mungbean and 5 urdbean genotypes. 42 different crosses were made comprising 13 Vigna radiata x V. radiata, 4 mungo 25 crosses. Varying degree success has been achieved in obtaining intraspecific interspecific having desired variability for yield contributing traits along with MYMV resistance. Methods: present investigation was done at Agricult...

In Arabidopsis, trichome formation is regulated by the interplay of R3 MYBs and several others transcription factors including the WD40-repeat protein TRANSPARENT TESTA GLABRA1 (TTG1), the R2R3 MYB transcription factor GLABRA1 (GL1), the bHLH transcription factor GLABRA3 (GL3) or ENHANCER OF GLABRA3 (EGL3), and the homeodomain protein GLABRA2 (GL2). R3 MYBs including TRICHOMELESS1 (TCL1), TCL2,...

In this paper we study the large time behavior of regular solutions to a nematic liquid crystals system in Sobolev spaces Hm(R3) for m ≥ 0.We obtain optimal decay rates in Hm(R3) spaces, in the sense that the rates coincide with the rates of the underlying linear counterpart. The fluid under consideration has constant density and small initial data.

Let Σ be a surface of constant mean curvature in R3 with multiple Delaunay ends. Assuming that is non degenerate this paper we construct new solutions to the Cahn-Hilliard equation εΔu+ε−1u(1−u2)=ℓε such as ε→0 zero level set uε approaches Σ. Moreover, on compacts connected components R3∖Σ have 1−|uε|→0 uniformly.

We prove that every set of n points in R3 spans O(n295/197+ε) unit distances. This is an improvement over the previous bound of O(n3/2). A key ingredient in the proof is a new result for cutting circles in R3 into pseudo-segments.