Matter-Driven Change of Spacetime Topology.

Using Monte Carlo computer simulations, we study the impact of matter fields on the geometry of a typical quantum universe in the causal dynamical triangulations (cdt) model of lattice quantum gravity. The quantum universe has the size of a few Planck lengths and the spatial topology of a three-torus. The matter fields are multicomponent scalar fields taking values in a torus with circumference δ in each spatial direction, which acts as a new parameter in the cdt model. Changing δ, we observe a phase transition caused by the scalar field. This discovery may have important consequences for quantum universes with nontrivial topology, since the phase transition can change the topology to a simply connected one.

Characteristics of the new phase in CDT.

The approach of Causal Dynamical Triangulations (CDT), a candidate theory of nonperturbative quantum gravity in 4D, turns out to have a rich phase structure. We investigate the recently discovered bifurcation phase [Formula: see text] and relate some of its characteristics to the presence of singular vertices of very high order. The transition lines separating this phase from the "time-collapsed" B-phase and the de Sitter phase [Formula: see text] are of great interest when searching for physical scaling limits. The work presented here sheds light on the mechanisms behind these transitions. First, we study how the B-[Formula: see text] transition signal depends on the volume fixing implemented in the simulations, and find results compatible with the previously determined second-order character of the transition. The transition persists in a transfer matrix formulation, where the system's time extension is taken to be minimal. Second, we relate the new [Formula: see text]-[Formula: see text] transition to the appearance of singular vertices, which leads to a direct physical interpretation in terms of a breaking of the homogeneity and isotropy observed in the de Sitter phase when crossing from [Formula: see text] to the bifurcation phase [Formula: see text].

Evaluation of volumetric changes in differential diagnosis of brain atrophy and active hydrocephalus.

Despite a variety of diagnostic methods, differentiation of symptoms of normal pressure hydrocephalus from those of atrophic processes of the brain is still a difficult task. In the present study an attempt of non-invasive differential diagnosis of normal pressure hydrocephalus (NPH) and brain atrophy (BA) was presented using volumetric analysis of CT images of the head by means of VisNow proprietary software. The analysis was based on the number of voxels converted to the amount of cerebrospinal fluid (CSF) in the subarachnoid space, skull base casters, and the ventricular system. The results demonstrate that the mean volumes of CSF in these compartments in patients with NPH differed significantly from those in BA. Similarly, the mean volumes of CSF in the subarachnoid space and skull base casters in patients with BA differed significantly from those in NPH. Volumetric assessment presented in the paper by application of VisNow software seems useful in the evaluation of NPH and brain BA.

Second-order phase transition in causal dynamical triangulations.

Causal dynamical triangulations are a concrete attempt to define a nonperturbative path integral for quantum gravity. We present strong evidence that the lattice theory has a second-order phase transition line, which can potentially be used to define a continuum limit in the conventional sense of nongravitational lattice theories.

Analysis of postural sway in patients with normal pressure hydrocephalus: effects of shunt implantation.

Poor postural balance is one of the major risk factors for falling in normal pressure hydrocephalus (NPH). Postural instability in the clinic is commonly assessed based upon force platform posturography. In this study we focused on the identification of changes in sway characteristics while standing quiet in patients with NPH before and after shunt implantation. Postural sway area and sway radius were analyzed in a group of 9 patients and 46 controls of both genders. Subject's spontaneous sway was recorded while standing quiet on a force platform for 30-60 s, with eyes open and then closed. Both analyzed sway descriptors identified between-group differences and also an effect of shunt implantation in the NPH group. Sway radius and sway area in patients exhibited very high values compared with those in the control group. Importantly, the effect of eyesight in patients was not observed before shunt implantation and reappeared after the surgical treatment. The study documents that static force platform posturography may be a reliable measure of postural control improvement due to shunt surgery.

Planckian birth of a quantum de sitter universe.

We show that the quantum universe emerging from a nonperturbative, Lorentzian sum over geometries can be described with a high accuracy by a four-dimensional de Sitter spacetime. By a scaling analysis involving Newton's constant, we establish that the linear size of the quantum universes under study is in between 17 and 28 Planck lengths. Somewhat surprisingly, the measured quantum fluctuations around the de Sitter universe in this regime are to good approximation still describable semiclassically. The numerical evidence presented comes from a regularization of quantum gravity in terms of causal dynamical triangulations.

Recognition of gait disturbances in patients with normal pressure hydrocephalus using a computer dynography system.

Gait and body balance disturbances are important clinical problems in patients with normal pressure hydrocephalus (NPH). They affect patients' locomotion and lead to a higher risk of falls. The gait pattern may be described as durations of the single and double support and of a stance phase. The aim of the present study was to apply the pattern recognition methods for the evaluation of gait disturbances in patients with NPH before and after neurosurgical treatment (shunt implantation). The results indicate that the parameters measured with a Computer DynoGraphy (CDG) system may effectively differentiate changes of gait in patients with NPH.

The spectral dimension of the universe is scale dependent.

We measure the spectral dimension of universes emerging from nonperturbative quantum gravity, defined through state sums of causal triangulated geometries. While four dimensional on large scales, the quantum universe appears two dimensional at short distances. We conclude that quantum gravity may be "self-renormalizing" at the Planck scale, by virtue of a mechanism of dynamical dimensional reduction.

Emergence of a 4D world from causal quantum gravity.

Causal Dynamical Triangulations in four dimensions provide a background-independent definition of the sum over geometries in nonperturbative quantum gravity, with a positive cosmological constant. We present evidence that a macroscopic four-dimensional world emerges from this theory dynamically.

Perturbing general uncorrelated networks.

This paper is a direct continuation of an earlier work, where we studied Erdös-Rényi random graphs perturbed by an interaction Hamiltonian favoring the formation of short cycles. Here, we generalize these results. We keep the same interaction Hamiltonian but let it act on general graphs with uncorrelated nodes and an arbitrary given degree distribution. It is shown that the results obtained for Erdös-Rényi graphs are generic, at the qualitative level. However, scale-free graphs are an exception to this general rule and exhibit a singular behavior, studied thoroughly in this paper, both analytically and numerically.

Network transitivity and matrix models.

This paper is a step towards a systematic theory of the transitivity (clustering) phenomenon in random networks. A static framework is used, with adjacency matrix playing the role of the dynamical variable. Hence, our model is a matrix model, where matrices are random, but their elements take values 0 and 1 only. Confusion present in some papers where earlier attempts to incorporate transitivity in a similar framework have been made is hopefully dissipated. Inspired by more conventional matrix models, analytic techniques to develop a static model with nontrivial clustering are introduced. Computer simulations complete the analytic discussion.

Tree networks with causal structure.

A geometry of networks endowed with a causal structure is discussed using the conventional framework of the equilibrium statistical mechanics. The popular growing network models appear as particular causal models. We focus on a class of tree graphs, an analytically solvable case. General formulas are derived, describing the degree distribution, the ancestor-descendant correlation, and the probability that a randomly chosen node lives at a given geodesic distance from the root. It is shown that the Hausdorff dimension d(H) of the causal networks is generically infinite, in contrast to the maximally random trees where it is generically finite.

Wealth condensation in pareto macroeconomies.

We discuss a Pareto macroeconomy (a) in a closed system with fixed total wealth and (b) in an open system with average mean wealth, and compare our results to a similar analysis in a super-open system (c) with unbounded wealth [J.-P. Bouchaud and M. Mézard, Physica A 282, 536 (2000)]. Wealth condensation takes place in the social phase for closed and open economies, while it occurs in the liberal phase for super-open economies. In the first two cases, the condensation is related to a mechanism known from the balls-in-boxes model, while in the last case, to the nonintegrable tails of the Pareto distribution. For a closed macroeconomy in the social phase, we point to the emergence of a "corruption" phenomenon: a sizeable fraction of the total wealth is always amassed by a single individual.

Nonperturbative lorentzian path integral for gravity

We construct a well-defined regularized path integral for Lorentzian quantum gravity in terms of dynamically triangulated causal space-times. Each Lorentzian geometry and its action have a unique Wick rotation to the Euclidean sector. All space-time histories possess a distinguished notion of a discrete proper time and, for finite lattice volume, the associated transfer matrix is self-adjoint, bounded, and strictly positive. The degenerate geometric phases found in dynamically triangulated Euclidean gravity are not present.

Vasostabilizing effect of Dotarizine (Ca(2+)-channel blocker) on cerebrovascular reactivity in rabbits.

Disturbances of the cerebrovascular reactivity in cases of migraine with aura are well-known. It has been suggested that the vasostabilizing effects of novel prophylactic pharmaceuticals are determined by their antiserotoninergic and/or nitric oxide releasing properties. Dotarizine, a representative of Ca2+ channel blockers from diphenilbutilpiperazines group also reveals antiserotoninergic 5-HT2A and 5-HT2C receptor-specific properties. The vasodilatatory and antivasoconstrictive properties of this compound were reported previously. In this study the efficacy of Dotarizine chronic oral administration on cerebrovascular reactivity during hyperventilation was examined with respect to its duration of action. Experiments were carried out on 13 rabbits. There was an interval of two days between a five days compound administration and performed hyperventilation. Blood flow velocities (BFV) in the middle cerebral artery (MCA) and basilar artery (BA) were measured in control conditions, after 10 min hyperventilation and in the tenth minute of recovery of normoventilation. Our data reveal a decrease of antivasoconstrictive properties of Dotarizine between its administration and vasoconstrictive test. Subsequent normoventilation showed a distinct vasostabilising effect of this compound with evident regional differences in its influence on cerebral vessels. Thus Dotarizine might be useful as prophylactic medication in migraine therapy, due to its Ca2+ channel blocking and antiserotoninergic properties, but the time-frame of its efficacy has to be defined.

Regional differences of cerebrovascular reactivity effected by calcium channel blocker - dotarizine.

Dotarizine, a novel antimigraine prophylactic drug, is chemically related to Diphenylbutylpiperazines, which are known to have Ca(2+)-antagonistic, alpha-adrenolytic and antihistaminic properties. Additionally, Dotarizine exhibits strong 5-HT2 receptor-specific antiserotoninergic properties. The vasostabilizing effect of Dotarizine on cerebrovascular reactivity during different ventilation conditions was demonstrated in various in vitro and in vivo studies. In the presented study, the effect of chronic oral administration of the drug on vascular reactions of different areas of cerebral vessels following hyperventilation was investigated. The experiments were carried out on two groups of experimental animals (rabbits). In the first group (6) 25 mg/kg of Dotarizine dissolved in 0.25% agar was administered orally for 5 days twice daily. The control group of animals (6) was fed with agar of the same concentration according to the same time schedule. During the experiment, 15 min hyperventilation was performed and blood flow velocity (BFV) in the middle cerebral artery (MCA) and the basilar artery (BA) was recorded using Transcranial Doppler apparatus (TCD) before and after hyperventilation state. The obtained results revealed a strong antivasoconstrictive effect of Dotarizine on cerebral vessels reactivity during hyperventilation. In the control experimental group, the 15 min hyperventilation caused a decrease in the mean BFV in MCA and BA by 36 and 14%, respectively, and in the drug-treated group under the same ventilation conditions the decrease of the mean BFV in BA was only 6% and even a slight increase (8% as compared with control values) of BFV in MCA was observed. Comparison of the pulsatility index (PI) values demonstrated a significant decrease of vascular resistance in MCA in the Dotarizine-treated group of animals (P<0.1). From the obtained results it can be concluded that chronic oral administration of a novel compound (Dotarizine) diminishes the vasoconstrictive effect of hyperventilation on cerebral vessels in rabbits. The influence of this drug demonstrates regional differences in the cerebrovascular reactivity and it appears to change the vascular resistance in the small arteries of the cerebrovascular system. Thus, it can be recommended as a good prophylactic antimigraine compound due its vasostabilizing properties.

Effect of oral administration of dotarizine on cerebrovasculature subjected to constriction followed by dilatation in rabbits.

In the study presented the effect of Dotarizine on blood flow velocity in cerebral arteries - in middle cerebral artery (MCA), and basilar artery (BA)- was investigated and compared utilising transcranial Doppler sonography during normoventilation, 15 min hyperventilation with subsequent 3 min anoxia in anaesthetized rabbits. In the Dotarizine treated group (12 rabbits) 25 mg/kg of Dotarizine dissolved in 0,25% agar was administered orally for five days twice daily. In the control group (9 rabbits) animals were fed with agar of the same concentration. The results revealed that decrease of flow velocity caused by hyperventilation and increase during anoxia were less pronounced in the Dotarizine treated group than in control group of animals. A difference between changes of flow velocity in MCA and BA during anoxia was found and the different reactivity of both vessels was established.

The effect of Dotarizine--(Ca2+ channel blocker)--on vascular reactivity and ultrastructure of cerebral capillaries in animals subjected to anoxia.

Dotarizine--the novel piperazine derivative--belongs to wide spectrum Ca2+ channel antagonists. It was reported to have strong vasodilatatory and antiserotoninergic activities. Comparing with other Ca2+ channel blockers Dotarizine was found to have lower oral toxicity. In the present study the influence of the oral administration of the novel compound on the blood flow velocity changes in different cerebral arteries--in basilar artery (BA) and middle cerebral artery (MCA)--was investigated under hypoxic conditions. The ultrastructural morphological changes of intracerebral vessels endothelium in treated and untreated anoxic animal groups were also demonstrated. The experiments were carried out on rabbits. In the experimental group 25 mg/kg of Dotarizine dissolved in 0.25% agar was administered orally three times at the 10 hours' intervals. The sham group of animals was fed with agar of the same concentration. During anoxic conditions strong vasodilatory effects were observed in both investigated vessels of drug-treated animals. In the experimental group marked ultrastructural differences in parenchymal vessel endotheliumin comparison to sham group were revealed. Thus, the oral administration of Dotarizine might have effect on the various parts of the cerebrovascular system and can play significant role in improvement of various cerebrovascular disorders.

[Multi-stage method for the diagnosis of low-pressure hydrocephalus]. / Wieloetapowa metoda rozpoznawania wodoglowia niskocisnieniowego.

Multistage method of low-pressure hydrocephalus diagnosis, elaborated in our department, is discussed. The method consists of four stages: I Clinical and neuropsychological examinations, standard computerized tomography. II Somatosensory evoked potentials. III Determination of water concentration and distribution in fluid compartments of the brain by utilising new mathematical formula. IV Three-phase complementary test. The application of this method allows to eliminate many false diagnoses and may contribute to lower costs of treatment.