Passage times for the decay of an unstable state triggered by colored noise

We study the decay of an unstable state in the presence of colored noise by calculating the moment generating function of the passage-time distribution. The problems of the independence of the initial condition in this non-Markovian process and that of nonlinear effects are addressed. Our results are compared with recent analog simulations.

A specific HPLC method for determination of beta-blockers topically used in ophthalmological diseases.

A HPLC method is presented for the identification and quantification in plasma and urine of beta-adrenergic receptor antagonists (betaxolol, carteolol, metipranolol, and timolol) commonly prescribed in ophthalmology. An extraction method is described using pindolol as an internal standard. An RSIL 10 micron column was used. The lower detection limits of the beta-blockers were found to be 4-27 ng/ml. This method is simple, rapid and sensitive; moreover, it allows the determination of 8 other beta-blockers.

Competition between beta-subunits of cardiac L-type calcium channels

Cardiac L-type Ca (CaV1.2) channels are composed of a pore forming CaV1.2-α1 subunit and auxiliary β- and α2δ-subunits. β-subunits are important not only for surface expression of the channel pore but also for modulation of channel gating properties. Different β-subunits differentially modulate channel activity (Hullin et al., PLOSone, 2007) and thus L-type Ca2+ channel gating is altered when β-subunit expression pattern is changed. In human heart failure increased activity of single ventricular L-type Ca2+-channels is associated with an increased expression of β2-subunits. Interestingly, induction of β2-subunit over-expression in hearts of transgenic mice resembled this heart failure phenotype of hyperactive single L-type Ca2+-channel channels (Beetz et al., Cardiovasc Res. 2009). We hypothesised that competition of less stimulating β-subunits (e.g. β1) with β-subunits causing strong channel stimulation (e.g. β2) might be a means to treat dysfunctional L-type Ca2+-channel activity. To test this hypothesis, we performed whole-cell and single-channel measurements employing recombinant CaV1.2 channels expressed in HEK293 cells together with both β- and β1a2b-subunits. Whole-cell analysis revealed no differences of maximum L-type Ca2+-current densities [pA/pF] with coexpression of either β1a-subunits (-52±3.8), β2b-subunits (-61.5±6.6) or the mixtures of β- and β1a2b-subunits with the plasmid transfection ratio of 2:1 (-60.2±1.6) and 1:1 (-56.7±2.6) respectively. However, steady state inactivation kinetics differed between particular β-subunit and the relative amount of β-subunit presence in the mixtures (β1a1a-subunit (-41.1±1.0), β2b-subunits (-35.1±1.1), mixture 2:1 (-40.3±1.5), and mixture 1:1 (-38.4±2.0); [mV]; p<0.05, students t-test). Using a novel single-channel analysis, switching of gating between β1-like and β2-like modes was monitored on a minute time-scale when both β-subunits were co-expressed in the same cells, but the larger amount of β1a-subunits is required for the effective switching of gating. Our results indicate a model of mutually exclusive binding and effective competition between several β-subunits suggesting that hyperactive channel gating mediated e.g. by β2-subunits can be normalized by β1-subunits. Therefore, competitive replacement between different L-type Ca2+-channel β-subunits might serve as a novel therapeutic strategy for e.g. heart failure.

Decay of unstable states in the presence of colored noise and random initial conditions. I. Theory of nonlinear relaxation times

The general theory of nonlinear relaxation times is developed for the case of Gaussian colored noise. General expressions are obtained and applied to the study of the characteristic decay time of unstable states in different situations, including white and colored noise, with emphasis on the distributed initial conditions. Universal effects of the coupling between colored noise and random initial conditions are predicted.

Decay of unstable states in the presence of colored noise and random initial conditions. II. Analog experiments and digital simulations

The decay of an unstable state under the influence of external colored noise has been studied by means of analog experiments and digital simulations. For both fixed and random initial conditions, the time evolution of the second moment ¿x2(t)¿ of the system variable was determined and then used to evaluate the nonlinear relaxation time. The results obtained are found to be in excellent agreement with the theoretical predictions of the immediately preceding paper [Casademunt, Jiménez-Aquino, and Sancho, Phys. Rev. A 40, 5905 (1989)].

The nonlinear relaxation time and quasideterministic-theory approaches to characterize the decay of unestable states

We present the relationship between nonlinear-relaxation-time (NLRT) and quasideterministic approaches to characterize the decay of an unstable state. The universal character of the NLRT is established. The theoretical results are applied to study the dynamical relaxation of the Landau model in one and n variables and also a laser model.

Neutron diffraction analysis on FINEMET alloys

Neutron diffraction has been used to study in situ the nanocrystallization process of Fe73.5Cu1Nb3Si22.5-xBx (x = 5, 9, and 12) amorphous alloys. Nanocrystallization results in a decrease of both the silicon content and the grain size of the Fe(Si) phase with increasing value of x. By comparing the radial distribution function peak areas with those predicted for ideal bcc and DO3 structure, it can be concluded that the ordering in DO3 Fe(Si) crystals increases with the silicon content.

Beta-adrenoceptor stimulation increases neuropeptide Y release from sympathetic nerves in intact rats.

This study was undertaken to assess in conscious normotensive rats the effects of beta-adrenoceptor stimulation on plasma neuropeptide Y (NPY) levels. Wistar rats were subjected to adrenal demedullation on the right side and were either adrenalectomized or sham-operated on the left side. Eleven days later, the conscious rats were infused i.v. for 30 min with either isoproterenol (10 ng/min) or its vehicle. Plasma NPY levels were significantly lower (23.8 +/- 2.6 pM, means +/- S.E.M., n = 12, P < 0.01) in vehicle-treated medullectomized rats than in corresponding sham-operated controls (36.7 +/- 4.1 pM, n = 12). The medullectomized rats infused with isoproterenol showed plasma NPY levels (36.7 +/- 3.3 pM, n = 11) comparable to those of sham-operated rats having received the vehicle. These data therefore demonstrate that plasma NPY levels are lower in rats without adrenal medulla and that in these animals isoproterenol increases NPY release, most likely by activating pre-synaptic beta-adrenoceptors.

Origin of the neutron skin thickness of 208Pb in nuclear mean-field models

We study whether the neutron skin thickness Δrnp of 208Pb originates from the bulk or from the surface of the nucleon density distributions, according to the mean-field models of nuclear structure, and find that it depends on the stiffness of the nuclear symmetry energy. The bulk contribution to Δrnp arises from an extended sharp radius of neutrons, whereas the surface contribution arises from different widths of the neutron and proton surfaces. Nuclear models where the symmetry energy is stiff, as typical of relativistic models, predict a bulk contribution in Δrnp of 208Pb about twice as large as the surface contribution. In contrast, models with a soft symmetry energy like common nonrelativistic models predict that Δrnp of 208Pb is divided similarly into bulk and surface parts. Indeed, if the symmetry energy is supersoft, the surface contribution becomes dominant. We note that the linear correlation of Δrnp of 208Pb with the density derivative of the nuclear symmetry energy arises from the bulk part of Δrnp. We also note that most models predict a mixed-type (between halo and skin) neutron distribution for 208Pb. Although the halo-type limit is actually found in the models with a supersoft symmetry energy, the skin-type limit is not supported by any mean-field model. Finally, we compute parity-violating electron scattering in the conditions of the 208Pb parity radius experiment (PREX) and obtain a pocket formula for the parity-violating asymmetry in terms of the parameters that characterize the shape of the 208Pb nucleon densities.

The influence of the symmetry energy on the giant monopole resonance of neutron-rich nuclei analyzed in Thomas-Fermi theory

We analyze the influence of the density dependence of the symmetry energy on the average excitation energy of the isoscalar giant monopole resonance (GMR) in stable and exotic neutron-rich nuclei by applying the relativistic extended Thomas-Fermi method in scaling and constrained calculations. For the effective nuclear interaction, we employ the relativistic mean field model supplemented by an isoscalar-isovector meson coupling that allows one to modify the density dependence of the symmetry energy without compromising the success of the model for binding energies and charge radii. The semiclassical estimates of the average energy of the GMR are known to be in good agreement with the results obtained in full RPA calculations. The present analysis is performed along the Pb and Zr isotopic chains. In the scaling calculations, the excitation energy is larger when the symmetry energy is softer. The same happens in the constrained calculations for nuclei with small and moderate neutron excess. However, for nuclei of large isospin the constrained excitation energy becomes smaller in models having a soft symmetry energy. This effect is mainly due to the presence of loosely-bound outer neutrons in these isotopes. A sharp increase of the estimated width of the resonance is found in largely neutron-rich isotopes, even for heavy nuclei, which is enhanced when the symmetry energy of the model is soft. The results indicate that at large neutron numbers the structure of the low-energy region of the GMR strength distribution changes considerably with the density dependence of the nuclear symmetry energy, which may be worthy of further characterization in RPA calculations of the response function.

Elastic constants of the beta-Cu-Zn alloy system: A Monte Carlo study

Monte Carlo calculations of the isothermal elastic constants of the beta-CuxZn1-x alloy system as a function of the composition have been carried out. We assume the atoms interact via a two-body Morse potential function and use numerical values for the potential parameters evaluated taking into account experimental data. We find a quite good agreement between our results and the expected experimental behavior.