In this paper we present numerical methods for the nonlinear Schrödinger equations (NLS) in the semiclassical regimes: iε uεt = − ε 2 ∆u + V (x)u + f(|u|)u, x ∈ R, with nonzero far-field conditions. A time-splitting cosine-spectral (TS-Cosine) method is presented when the nonzero far-field conditions are or can be reduced to homogeneous Neumann conditions, a time-splitting Chebyshev-spectral (T...

Translocation of constitutive androstane receptor (CAR) from the cytoplasm to the nucleus is induced by phenobarbital-like drugs. Nuclear localization signals (NLSs) and a sequence [xenochemical response signal (XRS)] required for xenobiotic-induced nuclear translocation have been defined in rat and human CAR, but a nuclear export signal (NES) has not been identified. To identify cellular local...

Controlled manipulation of proteins and their function is important in almost all biological disciplines. Here, we demonstrate control of protein activity with light. We present two different applications-light-triggered transcription and light-triggered protease cleavage-both based on the same concept of protein mislocation, followed by optochemically triggered translocation to an active cellu...

We report instability structures and nonlinear phenomena that arise when unstable and stable nonlinear wave fields are coupled nonlinearly. This interaction is modelled with an integrable system of cubic nonlinear Schrödinger (NLS) equations and plane wave data. The linearized analysis is straightforward, and robust to non-integrable perturbations. The coupled nonlinear Schrödinger (CNLS) model...

We study the nonlinear Schrödinger equations with a linear potential. A change of variables makes it possible to deduce results concerning finite time blow up and scattering theory from the case with no potential.

conclusions mothers with sle should be screened and closely followed up during pregnancy for the development of fetal atrioventricular (av) block. case presentation a term infant with fetal bradycardia, detected at the 23rd gestational age, was diagnosed with chb due to nls and was successfully treated with a permanent epicardial pacemaker. the patient was reported here due to rarity of the pro...

Homoclinic varieties play a crucial role in the dynamics of perturbations of the focusing Nonlinear Schrr odinger equation (NLS). We undertake a Mel'nikov analysis to investigate the possibility of persistence of transversal homoclinic orbits for a conservative perturbation of the NLS.

Using the connection between closed solution curves of the Vortex Filament Equation and the periodic problem for the nonlinear Schrr odinger equation (NLS), we investigate the possibility of relating the knot types of nite-gap solutions to the Floquet spectra of the corresponding NLS potentials, in the special case of small amplitude curves close to multiply-covered circles.

Recent investigations have elucidated several molecular pathways for the nuclear import and export of proteins (Kau and Silver, 2003; Weis, 2003) across transport passageways or nuclear pore complexes (NPCs) (Dreger, 2003). The NPC is a large (125 MDa) multimeric protein structure that perforates the nuclear envelope and channels proteins greater than 60 kDa into or out of the nucleus. The cons...

Objective This study aimed to develop a gene delivery system using ultrasound-targeted microbubbles destruction (UTMD) combined with nuclear localization signal (NLS) and investigate its efficacy and safety for therapeutic angiogenesis in canine myocardial infarction (MI) model. Methods Fifty MI dogs were randomly divided into 5 groups and transfected with Ang-1 gene plasmid: (i) group A: onl...