Biomedical subjects

Claudio Castellano

Publications and source records attributed to Claudio Castellano.

18 recordsLinked to original sources

PubMed2006

Non-mean-field behavior of the contact process on scale-free networks.

We present an analysis of the classical contact process on scale-free networks. A mean-field study, both for finite and infinite network sizes, yields an absorbing-state phase transition at a finite critical value of the control parameter, characterized by a set of exponents depending on the network structure. Since finite size effects are large and the infinite network limit cannot be reached in practice, a numerical study of the transition requires the application of finite size scaling theory. Contrary to other critical phenomena studied previously, the contact process in scale-free networks exhibits a nontrivial critical behavior that cannot be quantitatively accounted for by mean-field theory.

Epidemiologic Methods↗

PubMed2005

Mean-field limit of systems with multiplicative noise.

A detailed study of the mean-field solution of Langevin equations with multiplicative noise is presented. Three different regimes depending on noise intensity (weak, intermediate, and strong noise) are identified by performing a self-consistent calculation on a fully connected lattice. The most interesting, strong-noise, regime is shown to be intrinsically unstable with respect to the inclusion of fluctuations, as a Ginzburg criterion shows. On the other hand, the self-consistent approach is shown to be valid only in the thermodynamic limit, while for finite systems the critical behavior is found to be different. In this last case, the self-consistent field itself is broadly distributed rather than taking a well defined mean value; its fluctuations, described by an effective zero-dimensional multiplicative noise equation, govern the critical properties. These findings are obtained analytically for a fully connected graph, and verified numerically both on fully connected graphs and on random regular networks. The results presented here shed some doubt on what is the validity and meaning of a standard mean-field approach in systems with multiplicative noise in finite dimensions, where each site does not see an infinite number of neighbors, but a finite one. The implications of all this on the existence of a finite upper critical dimension for multiplicative noise and Kardar-Parisi-Zhang problems are briefly discussed.

Journal Article↗

PubMed2005

Comparison of voter and Glauber ordering dynamics on networks.

We study numerically the ordering process of two very simple dynamical models for a two-state variable on several topologies with increasing levels of heterogeneity in the degree distribution. We find that the zero-temperature Glauber dynamics for the Ising model may get trapped in sets of partially ordered metastable states even for finite system size, and this becomes more probable as the size increases. Voter dynamics instead always converges to full order on finite networks, even if this does not occur via coherent growth of domains. The time needed for order to be reached diverges with the system size. In both cases the ordering process is rather insensitive to the variation of the degree distribution from sharply peaked to scale free.

Journal Article↗

PubMed2004

Generic features of the fluctuation dissipation relation in coarsening systems.

The integrated response function in phase-ordering systems with scalar, vector, conserved, and nonconserved order parameter is studied at various space dimensionalities. Assuming scaling of the aging contribution chi(ag) (t, t(w) )= tw (- a(chi) ) chi; (t/ t(w) ) we obtain, by numerical simulations and analytical arguments, the phenomenological formula describing the dimensionality dependence of a(chi) in all cases considered. The primary result is that a(chi) vanishes continuously as d approaches the lower critical dimensionality d(L). This implies that (i) the existence of a nontrivial fluctuation dissipation relation and (ii) the failure of the connection between statics and dynamics are generic features of phase ordering at d(L).

Journal Article↗

PubMed2004

Average trajectory of returning walks.

We compute the average shape of trajectories of some one-dimensional stochastic processes x(t) in the (t,x) plane during an excursion, i.e., between two successive returns to a reference value, finding that it obeys a scaling form. For uncorrelated random walks the average shape is semicircular, independent from the single increments distribution, as long as it is symmetric. Such universality extends to biased random walks and Levy flights, with the exception of a particular class of biased Levy flights. Adding a linear damping term destroys scaling and leads asymptotically to flat excursions. The introduction of short and long ranged noise correlations induces nontrivial asymmetric shapes, which are studied numerically.

Journal Article↗

PubMed2004

Defining and identifying communities in networks.

The investigation of community structures in networks is an important issue in many domains and disciplines. This problem is relevant for social tasks (objective analysis of relationships on the web), biological inquiries (functional studies in metabolic and protein networks), or technological problems (optimization of large infrastructures). Several types of algorithms exist for revealing the community structure in networks, but a general and quantitative definition of community is not implemented in the algorithms, leading to an intrinsic difficulty in the interpretation of the results without any additional nontopological information. In this article we deal with this problem by showing how quantitative definitions of community are implemented in practice in the existing algorithms. In this way the algorithms for the identification of the community structure become fully self-contained. Furthermore, we propose a local algorithm to detect communities which outperforms the existing algorithms with respect to computational cost, keeping the same level of reliability. The algorithm is tested on artificial and real-world graphs. In particular, we show how the algorithm applies to a network of scientific collaborations, which, for its size, cannot be attacked with the usual methods. This type of local algorithm could open the way to applications to large-scale technological and biological systems.

Algorithms↗

PubMed2004

Solution of voter model dynamics on annealed small-world networks.

An analytical study of the behavior of the voter model on the small-world topology is performed. In order to solve the equations for the dynamics, we consider an annealed version of the Watts-Strogatz (WS) network, where long-range connections are randomly chosen at each time step. The resulting dynamics is as rich as on the original WS network. A temporal scale tau separates a quasistationary disordered state with coexisting domains from a fully ordered frozen configuration. tau is proportional to the number of nodes in the network, so that the system remains asymptotically disordered in the thermodynamic limit.

Journal Article↗

PubMed2004

Effects of anandamide and morphine combinations on memory consolidation in cd1 mice: involvement of dopaminergic mechanisms.

In the present research the interaction between the endogenous ligand for the cannabinoid CB1 receptor anandamide (arachidonylethanolamide) and morphine in memory consolidation was investigated. Four sets of experiments were carried out with CD1 mice tested in a one-trial inhibitory avoidance task. The drugs were administered intraperitoneally after training of the animals in the apparatus. In the first set of experiments morphine (0.3 or 0.5, but not 0.15mg/kg) or anandamide (3 or 6 but not 1.5mg/kg) dose-dependently impaired memory consolidation. In the second set of experiments the administration of an otherwise ineffective dose of anandamide (1.5mg/kg) enhanced the memory impairment exerted by morphine (0.3 and 0.5mg/kg) when the drugs were injected immediately after training. In the third set of experiments the combined treatments of anandamide (1.5mg/kg) and morphine (0.5mg/kg) 2h after training were ineffective showing that the effects observed on performance following immediate posttraining administration of anandamide and morphine combinations were reflecting direct influences on memory consolidation. In the fourth set of experiments otherwise ineffective doses of the D1 DA receptor agonist SKF 38393 or the D2 DA receptor agonist LY 171555 antagonized the memory impairment produced by anandamide and morphine in combination, suggesting a possible involvement of dopaminergic mechanisms.

Animals↗

PubMed2004

Strains of rodents and the pharmacology of learning and memory.

Mendelian genetic tools have extensively been used to improve the description of the pharmacological mechanisms involved in learning and memory. The first part of this short review describes experiments involving the bidirectional selection of rats or mice for extreme behavioral characteristics or for sensitivity to pharmacological treatments. The second part focuses specifically on in-breeding. In conclusion, the advantages and the limits of a Mendelian pharmacogenetic approach of learning and memory are discussed.

Animals↗

PubMed2003

Average shape of a fluctuation: universality in excursions of stochastic processes.

We study the average shape of a fluctuation of a time series x(t), which is the average value (T) before x(t) first returns at time T to its initial value x(0). For large classes of stochastic processes, we find that a scaling law of the form (T) = T(alpha)f(t/T) is obeyed. The scaling function f(s) is, to a large extent, independent of the details of the single increment distribution, while it encodes relevant statistical information on the presence and nature of temporal correlations in the process. We discuss the relevance of these results for Barkhausen noise in magnetic systems.

Journal Article↗

PubMed2003

Anandamide and memory in CD1 mice: effects of immobilization stress and of prior experience.

Five sets of experiments were carried out with CD1 mice tested in a one-trial inhibitory avoidance task. In a first set, immediately posttraining administrations of the endogenous ligand for the cannabinoid CB1 receptor anandamide (arachidonylethanolamide) (3 or 6 mg/kg) dose-dependently impaired memory consolidation in mice. A lower dose (1.5 mg/kg) was ineffective. In a second set of experiments, which was carried out at the same time of the first set, preexposure of the animals to the testing apparatus decreased the effect of the drug, as compared with non-preexposed mice. In a third set of experiments, administration of anandamide (3 or 6 mg/kg) prior to the retention test did not affect the retention performance of mice given posttraining injections of either saline or anandamide. These findings indicate that the memory-impairing effects of posttraining administration of anandamide are not state-dependent. In the fourth and fifth series of experiments, carried out with non-preexposed mice, an otherwise ineffective immobilization stress (15 min) enhanced the memory-impairing effect of anandamide, and an otherwise ineffective dose of naltrexone (0.1 mg/kg) completely antagonized the effect. The results are discussed in terms of attenuation of emotionality, resulting in impaired retention, following anandamide administration, and of involvement of opioid system in the effect of this drug.

Animals↗

PubMed2003

Distinct roles of the different ionotropic glutamate receptors within the nucleus accumbens in passive-avoidance learning and memory in mice.

Research on the role of the nucleus accumbens in behaviour has been largely focused on the functions of this structure in conditioning to appetitive stimuli. It has been suggested that a network comprising the nucleus accumbens and its convergent inputs might mediate dissociable functions in the acquisition, the consolidation and the retrieval of information. However, findings related to a role of this structure in aversive conditioning are somewhat contradictory, and its involvement in this form of learning is still under debate. Moreover, very little evidence is available on the step of information processing mediated by the accumbens. Thus the purpose of this study was to investigate the effects of the blockade of the AMPA and NMDA glutamate receptors, which have been suggested to mediate the transmission of information from the limbic system to this structure, on a classical aversive conditioning task - the one-trial step through inhibitory avoidance paradigm (24 h interval between training and testing). Intra-accumbens focal injections of AP-5 and DNQX (NMDA and AMPA antagonists, respectively) were performed immediately after training, before training and before testing in mice. The NMDA antagonist (37.5, 75 and 150 ng per side) impaired animal performance only if administered immediately after but not before training or before testing. Conversely, DNQX (0.5, 1.0 and 5.0 ng per side) reduced the step through latencies when administered before training and before testing. These findings suggest that NMDA receptor activation within the accumbens is necessary in formation but not expression of memory for inhibitory avoidance. AMPA receptors, instead, are necessary for the acquisition and the expression but not consolidation of inhibitory avoidance memory.

Analysis of Variance↗

PubMed2003

Cannabinoids and memory: animal studies.

This review will consider studies concerning the effects of cannabinoid receptor agonists and antagonists on memory in laboratory animals. Two subtypes of cannabinoid receptors have been identified to date: the central CB1 subtype and the peripheral CB2 subtype. The receptor which specifically binds Delta9-tetrahydrocannabinol (Delta9-THC) and related compounds in rat and human brain has been discovered and cloned by a number of researchers. This cannabinoid receptor is localized with high concentrations in different brain areas, including hippocampus and amygdala, which play an important role in the modulation of memory. In recent years evidence has been obtained that cannabinoids influence memory processes. It has been shown, for example, that Delta9-THC impairs memory in rats, mice and monkeys tested in a variety of experimental conditions (radial maze, instrumental discrimination tasks, Morris water maze, etc.). In some of these researches the effect of Delta9-THC was antagonized by the CB1 receptor antagonist SR 141716A, showing the involvement of this subtype of cannabinoid receptor in its effect. Anandamide, arachidonylethanolamide, was recently discovered as the first endogenous ligand for the cannabinoid receptor. It has been reported to stimulate CB1 receptors and to mimic the pharmacological effects of cannabinoids. Experiments carried out by our group have shown that anandamide impairs memory consolidation in random bred mice (CD1), exerts genotype-dependent influences on memory in inbred strain of mice (C57 BL/6 and DBA/2), and that opioid and dopaminergic systems might be involved in its effects.

Animals↗

PubMed2002

Process of irreversible nucleation in multilayer growth. I. Failure of the mean-field approach.

The formation of stable dimers on top of terraces during epitaxial growth is investigated in detail. In this paper we focus on mean-field theory, the standard approach to study nucleation. Such theory is shown to be unsuitable for the present problem, because it is equivalent to considering adatoms as independent diffusing particles. This leads to an overestimate of the correct nucleation rate by a factor N, which has a direct physical meaning: on average, a visited lattice site is visited N times by a diffusing adatom. The dependence of N on the size of the terrace and on the strength of step-edge barriers is derived from well-known results for random walks. The spatial distribution of nucleation events is shown to be different from the mean-field prediction, for the same physical reason. In the following paper we develop an exact treatment of the problem.

Journal Article↗

PubMed2002

Process of irreversible nucleation in multilayer growth. II. Exact results in one and two dimensions.

We study irreversible dimer nucleation on top of terraces during epitaxial growth in one and two dimensions, for all values of the step-edge barrier. The problem is solved exactly by transforming it into a first passage problem for a random walker in a higher-dimensional space. The spatial distribution of nucleation events is shown to differ markedly from the mean-field estimate except in the limit of very weak step-edge barriers. The nucleation rate is computed exactly, including numerical prefactors.

Journal Article↗

PubMed2002

Genetically dystrophic mdx/mdx mice exhibit decreased response to nicotine in passive avoidance.

mdx mice are considered as a genetic homologous of human Duchenne muscular dystrophy. Recent evidence demonstrates that in mouse sympathetic ganglion dystrophin is involved in the stabilization of nicotinic acetylcholine receptor clusters. The purpose of this study was to verify possible effects of dystrophin alterations at the central level. This was assessed by evaluating the response to nicotine administration in mdx and wild-type mice. Thus the effects of post-training nicotine administrations (0.1, 0.25 and 0.5 mg/kg) were tested in mice subjected to a passive avoidance memory task, that measures the ability of mice to remember on test day a shock received 24 h before. Nicotine enhanced memory in wild-type as well as in mdx mice. However, the doses needed to increase memory in mdx were higher than in wild-type. These results are discussed in terms of possible functional changes in central nicotinic acetylcholine receptor in mdx mice.

Acetylcholine↗

PubMed2002

Universality of the off-equilibrium response function in the kinetic Ising chain.

The off-equilibrium response function chi(t,t(w)) and autocorrelation function C(t,t(w)) of an Ising chain with spin-exchange dynamics are studied numerically and compared with the same quantities in the case of spin-flip dynamics. It is found that, even though these quantities are different in the two cases, the parametric plot of chi(t,t(w)) versus C(t,t(w)) is the same. While this result could be expected in higher dimensionality, where chi(C) is related to the equilibrium state, it is far from trivial in the one-dimensional case where this relation does not hold. The origin of the universality of chi(C) is traced back to the optimization of domains position with respect to the perturbing external field. This mechanism is investigated resorting to models with a single domain moving in a random environment.

Journal Article↗

PubMed2002

Effects of MK-801 and ethanol combinations on memory consolidation in CD1 mice: involvement of GABAergic mechanisms.

In the present research the effect of the noncompetitive N-methyl-d-aspartate receptor antagonist MK-801 and ethanol combinations on memory consolidation and the involvement of GABAergic mechanisms in this effect were investigated in CD1 mice injected intraperitoneally with the drugs immediately or 120 min after training in a one-trial inhibitory avoidance apparatus and tested for retention 24 h later. The results showed that (a) the retention performances of mice were impaired in a dose-dependent manner by immediate posttraining MK-801 (0.2 and 0.3, but not 0.1 mg/kg) and ethanol (1 and 2, but not 0.5 g/kg) administrations; (b) an otherwise ineffective dose of MK-801 (0.1 mg/kg) enhanced the deleterious effect exerted by ethanol (1 and 2 g/kg); (c) an otherwise ineffective dose of muscimol (0.5 mg/kg) enhanced, while otherwise ineffective doses of picrotoxin (0.25 mg/kg) or bicuculline (0.1 mg/kg) antagonized, this effect; and (d) no effect was observed when the treatments were carried out 120 min after training, suggesting that the effects observed following immediate posttraining administrations were due to the influence on the consolidation of memory. From these experiments it is evident that (a) MK-801 enhances ethanol's effects on memory consolidation and (b) GABAergic mechanisms are involved in this effect.

Animals↗