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Biomedical subjects

G Casati

Publications and source records attributed to G Casati.

At least 19 recordsLinked to original sources
PubMed2002

Controlling the energy flow in nonlinear lattices: a model for a thermal rectifier.

We address the problem of heat conduction in 1D nonlinear chains; we show that, acting on the parameter which controls the strength of the on-site potential inside a segment of the chain, we induce a transition from conducting to insulating behavior in the whole system. Quite remarkably, the same transition can be observed by increasing the temperatures of the thermal baths at both ends of the chain by the same amount. The control of heat conduction by nonlinearity opens the possibility to propose new devices such as a thermal rectifier.

Journal Article↗
PubMed2002

Fractal spin glass properties of low energy configurations in the Frenkel-Kontorova chain.

We study, numerically and analytically, the classical one-dimensional Frenkel-Kontorova chain in the regime of pinned phase characterized by phonon gap. Our results show the existence of exponentially many static equilibrium configurations that are exponentially close to the energy of the ground state. The energies of these configurations form a fractal quasidegenerate band structure that is described on the basis of elementary excitations. Contrary to the ground state, the configurations inside these bands are disordered.

Journal Article↗
PubMed2002

Semiquantal approach to finite systems of interacting particles.

A novel approach is suggested for the statistical description of quantum systems of interacting particles. We show that the occupation numbers for single-particle states can be represented as a convolution of a classical analog of the eigenstate, with the quantum occupation number for noninteracting particles. The latter takes into account the wave function symmetry and depends on the unperturbed energy spectrum only. As a result, the distribution of occupation numbers n(s) can be found even for a large number of interacting particles. Using the model of interacting spins, we demonstrate that this approach gives a correct description of n(s) even in deep quantum regions with few single-particle orbitals.

Journal Article↗
PubMed2001

Efficient quantum computing of complex dynamics.

We propose a quantum algorithm which uses the number of qubits in an optimal way and efficiently simulates a physical model with rich and complex dynamics described by the quantum sawtooth map. The numerical study of the effect of static imperfections in the quantum computer hardware shows that the main elements of the phase space structures are accurately reproduced up to a time scale which is polynomial in the number of qubits. The errors generated by these imperfections are more significant than the errors of random noise in gate operations.

Journal Article↗
PubMed2001

Quantum fractal fluctuations.

We numerically analyze quantum survival probability fluctuations in an open, classically chaotic system. In a quasiclassical regime and in the presence of classical mixed phase space, such fluctuations are believed to exhibit a fractal pattern, on the grounds of semiclassical arguments. In contrast, we work in a classical regime of complete chaoticity and in a deep quantum regime of strong localization. We provide evidence that fluctuations are still fractal, due to the slow, purely quantum algebraic decay in time produced by dynamical localization. Such findings considerably enlarge the scope of the existing theory.

Journal Article↗
PubMed2001

Regular and anomalous quantum diffusion in the Fibonacci kicked rotator.

We study the dynamics of a quantum rotator, impulsively kicked according to the almost-periodic Fibonacci sequence. A special numerical technique allows us to carry on this investigation for as many as 10(12) kicks. It is shown that above a critical kick strength, the excitation of the system is well described by regular diffusion, while below this border it becomes anomalous and subdiffusive. A law for the dependence of the exponent of anomalous subdiffusion on the kick strength is established numerically. The analogy between these results and quantum diffusion in models of quasicrystals and in the kicked Harper system is discussed.

Journal Article↗
PubMed2001

Synthesis and LC characterization of clenbuterol molecularly imprinted polymers.

Highly selective non-covalent clenbuterol (CL) imprinted polymers were prepared using methacrylic acid as monomer and ethylene glycol dimethacrylate as cross-linking agent. HPLC experiments with columns packed with this material showed that CL are selectively recognised with respect to all other adrenergic substances studied using a phosphate buffer/acetonitrile eluent. The separation was strongly dependent on pH and the organic/aqueous phase ratio. An important contribution to the recognition mechanism from hydrophobic interactions was found at higher water content. These results demonstrate that a novel family of absorbents with high selectivity for CL was obtained which can be exploited in solid phase extractions or as recognition elements for selective sensors.

Bronchodilator Agents↗
PubMed2000

Triangle map: A model of quantum chaos

We study an area preserving parabolic map which emerges from the Poincare map of a billiard particle inside an elongated triangle. We provide numerical evidence that the motion is ergodic and mixing. Moreover, when considered on the cylinder, the motion appears to follow a Gaussian diffusive process.

Journal Article↗
PubMed2000

Quantum Poincare recurrences for a hydrogen atom in a microwave field

We study the time dependence of the ionization probability of Rydberg atoms driven by a microwave field, both in classical and in quantum mechanics. The quantum survival probability follows the classical one up to the Heisenberg time and then decays algebraically as P(t) approximately 1/t. This decay law derives from the exponentially long times required to escape from some region of the phase space, due to tunneling and localization effects. We also provide parameter values which should allow one to observe such decay in laboratory experiments.

Journal Article↗
PubMed2000

Quantum resonances of the kicked rotor and the SU(q) group

The quantum kicked rotor map is embedded into a continuous unitary transformation generated by a time-independent quasi Hamiltonian. In some vicinity of a quantum resonance of order q, we relate the problem to the regular motion along a circle in a (q(2)-1) component inhomogeneous "magnetic" field of a quantum particle with q intrinsic degrees of freedom described by the SU(q) group. This motion is in parallel with the classical phase oscillations near a nonlinear resonance.

Journal Article↗
PubMed2000

Fractal survival probability fluctuations

We study fluctuations of survival probability in an open quantum system classically described by a map with a mixed phase space. Our results provide the first numerical support to theoretical predictions that such fluctuations have a fractal structure, quantitatively related to the algebraic decay of the classical survival probability.

Journal Article↗
PubMed2000

LDL physical properties, lipoprotein and Lp(a) levels in acromegalic patients. Effects of octreotide therapy. Italian Multicenter Octreotide Study Group.

High vascular morbidity and mortality is associated with acromegaly. The aim of the present study was to assess the effects of octreotide therapy on several known cardiovascular risk factors and to correlate them with octreotide-induced hormonal changes. Lipid levels, LDL particle size distribution as evaluated by single vertical spin density gradient ultracentrifugation, apolipoproteins AI and B, lipoprotein (a) [Lp(a)] concentrations and apo(a) phenotypes were evaluated in 20 non-diabetic acromegalic patients (6 M, 14 F), with normal thyroid, adrenal and gonadal function, aged 29-66 years. Normal subjects (20), matched for age, sex and BMI served as control for lipid variables. Acromegalic patients were characterized by lower HDL cholesterol (and apoA-I) and by higher Lp(a) concentrations in comparison to controls. Treatment with octreotide (100 microg t.i.d. for 3 months) led to: an increase in HDL cholesterol (median: + 22%), a decrease in LDL cholesterol (-14%) and a decrease of the Lp(a) levels (all phenotypes) (-28%). The expected decreases of IGF-I levels (median: -48%) and 7-h AUC of GH (-50%), insulin (-40%) and glucagon (-20%) were observed. Only Lp(a) modifications showed a correlation with GH modifications. The study of LDL physical properties showed that acromegalic patients had smaller and/or more dense LDL particles, in comparison with normal controls (relative flotation rate, Rf: 0.40 +/- 0.03 versus 0.42 +/- 0.02 P < 0q05), an alteration that might contribute to the high vascular risk of acromegalic patients. However, the LDL subfraction distribution remained unmodified during octreotide therapy (Rf 0.39 +/- 0.03). In conclusion, this study shows that in acromegalic patients octreotide treatment is indeed associated with an amelioration of some lipoprotein parameters, i.e. LDL, HDL, and Lp(a) concentrations. However, this treatment has no effect on the small and/or dense LDL particles present in these patients.

Acromegaly↗
PubMed2000

Quantum resonances and regularity islands in quantum maps

We study analytically as well as numerically the dynamics of a quantum map near a quantum resonance of an order q. The map is embedded into a continuous unitary transformation generated by a time-independent quasi-Hamiltonian. Such a Hamiltonian generates at the very point of the resonance a local gauge transformation described by the unitary unimodular group SU(q). The resonant energy growth is attributed to the zero Liouville eigenmodes of the generator in the adjoint representation of the group while the nonzero modes yield saturating with time contribution. In a vicinity of a given resonance, the quasi-Hamiltonian is then found in the form of power expansion with respect to the detuning from the resonance. The problem is related in this way to the motion along a circle in a (q2 - 1)-component inhomogeneous "magnetic" field of a quantum particle with q intrinsic degrees of freedom described by the SU(q) group. This motion is in parallel with the classical phase oscillations near a nonlinear resonance. The most important role is played by the resonances with the orders much smaller than the typical localization length q << l. Such resonances master for exponentially long though finite times the motion in some domains around them. Explicit analytical solution is possible for a few lowest and strongest resonances.

Journal Article↗
PubMed1998

Lack of effect of hexarelin on TRH-induced TSH response in normal adult man.

The mechanism of action of the synthetic growth hormone (GH)releasing peptide hexarelin is not yet fully understood. Although a direct effect on pituitary cells has been demonstrated, the peptide is also active at hypothalamic level, where specific binding sites have been found. The observation that hexarelin acts synergistically with GH-releasing hormone (GHRH) in releasing GH has suggested that it might suppress endogenous somatostatin secretion. As somatostatin is also inhibitory on TSH secretion, to verify the occurrence of modifications of the somatostatinergic tone induced by hexarelin, we studied its effects on TRH-induced TSH secretion. Seven normal subjects (4 women and 3 men aged 24-29 years) underwent the following tests on 3 different days: a) TRH (200 micrograms/l i.v.) + placebo; b) hexarelin (1 microgram/Kg bw i.v.) + placebo c) combined TRH + hexarelin administration. Hexarelin induced significant and similar increases in serum GH levels when given in combination either with placebo or with TRH (1217 +/- 470 vs 986 +/- 208 micrograms/min/l p:NS), while no modifications of GH levels were seen after TRH + placebo. Serum TSH levels were unmodified by hexarelin + placebo injection. The TSH increase elicited by hexarelin + TRH was superimposable to that elicited by TRH + placebo (1124 +/- 530 and 1273 +/- 380 mU/min/l respectively). Circulating PRL levels slightly increased after hexarelin + placebo too (897 micrograms/min/l), and the PRL response to hexarelin + TRH was slightly, although not significantly, greater than that observed after TRH + placebo (2680 +/- 1517 and 2243 +/- 1108 micrograms/min/l, respectively). In conclusion, our data show that hexarelin does not alter basal and TRH-stimulated TSH secretion, thus suggesting that it does not inhibit somatostatin release. Furthermore a modest PRL-releasing effect of this peptide has been confirmed.

Adult↗