Asymmetric cluster and chimera dynamics in globally coupled systems.

We investigate the emergence of chimera and cluster states possessing asymmetric dynamics in globally coupled systems, where the trajectories of oscillators belonging to different subpopulations exhibit different dynamical properties. In an asymmetric chimera state, the trajectory of an element in the synchronized subset is stationary or periodic, while that of an oscillator in the desynchronized subset is chaotic. In an asymmetric cluster state, the periods of the trajectories of elements belonging to different clusters are different. We consider a network of globally coupled chaotic maps as a simple model for the occurrence of such asymmetric states in spatiotemporal systems. We employ the analogy between a single map subject to a constant drive and the effective local dynamics in the globally coupled map system to elucidate the mechanisms for the emergence of asymmetric chimera and cluster states in the latter system. By obtaining the dynamical responses of the driven map, we establish a condition for the equivalence of the dynamics of the driven map and that of the system of globally coupled maps. This condition is applied to predict parameter values and subset partitions for the formation of asymmetric cluster and chimera states in the globally coupled system.

Allele frequencies of microsatellite loci for genetic characterization of a Sicilian bovine population.

Short tandem repeats are used as an effective method to trace DNA markers in genotyping. Using a standardized kit, we tested 11 microsatellite markers recommended by the International Society for Animal Genetics (ISAG) in a sample of 495 Sicilian cattle. The aim of this study was to investigate the allele frequencies in the Sicilian cattle population to provide a reference database and at the same time to assess the use of the ISAG microsatellite panel for pedigree analysis. DNA samples were collected from blood and amplified in an 11-plex polymerase chain reaction (PCR); PCR products were injected in a 3130 Genetic Analyzer. All loci showed high mean polymorphism information content (0.768), and the observed mean heterozygosity was less than the expected value (0.732 vs 0.794, respectively). The exact test for Hardy-Weinberg proportions, allele number, and inbreeding coefficient were calculated. Our results indicated that equilibrium was not always maintained. The observed mean homozygote value exceeded the expected value (132.81 vs 102.14), but no evidence for allele dropout was found. These results could be explained by a non-random mating; further studies using a larger number of animals could confirm or invalidate this hypothesis. The probability of identity and exclusion of a locus were also estimated and proved to be useful in paternity testing. The ISAG microsatellite panel is useful to screen the Sicilian bovine kinship. Currently, an allele frequency database is being constructed.

Controlling systemic corruption through group size and salary dispersion of public servants.

We investigate an agent-based model for the emergence of corruption in public contracts. There are two types of agents: business people and public servants. Both business people and public servants can adopt two strategies: corrupt or honest behavior. Interactions between business people and public servants take place through defined payoff rules. Either type of agent can switch between corrupt or honest strategies by comparing their payoffs after interacting. We measure the level of corruption in the system by the fractions of corrupt and honest agents for asymptotic times. We study the effects of the group size of the interacting agents, the dispersion with respect to the average salary of the public servants, and a parameter representing the institutional control of corruption. We characterize the fractions of honest and corrupt agents as functions of these variables. We construct phase diagrams for the level of corruption in the system in terms of these variables, where three collective states can be distinguished: i) a phase where corruption dominates; ii) a phase where corruption remains in less than 50% of the agents; and iii) a phase where corruption disappears. Our results indicate that a combination of large group sizes of interacting servants and business people and small dispersion of the salaries of public servants, contributes to the decrease of systemic corruption in public contracts.

Protective effect of alpha-lipoic acid on cypermethrin-induced oxidative stress in Wistar rats.

Cypermethrin (CY), a class II pyrethroid pesticide, is globally used to control insects in the household and in agriculture. Despite beneficial roles, its uncontrolled and repetitive application leads to unintended effects in non-target organisms. In light of the relevant anti-oxidant properties of alpha-lipoic acid (ALA), in the work described herein we tested the effect of a commercially available ALA formulation on cypermethrin CY)-induced oxidative stress in Wistar rats. The rats were orally administered with 53.14 mg/kg of ALA and 35.71 mg/kg of CY for 60 days. The treatment with CY did not induce changes in either locomotor activities or in body weight. Differences were observed on superoxide dismutase (SOD), catalase (CAT) and lipid peroxidation that were re-established by ALA treatment at similar levels of the placebo group. Furthermore, ALA formulation increased glutathione (GSH) level and glutathione peroxidase (GPx) activity. Because of the widespread use of CY, higher amounts of pesticide residues are present in food, and a diet supplementation with ALA could be an active free radical scavenger protecting against diseases associated with oxidative stress.

Against mass media trends: Minority growth in cultural globalization.

We investigate the collective behavior of a globalized society under the influence of endogenous mass media trends. The mass media trend is a global field corresponding to the statistical mode of the states of the agents in the system. The interaction dynamics is based on Axelrod's rules for the dissemination of culture. We find situations where the largest minority group, possessing a cultural state different from that of the predominant trend transmitted by the mass media, can grow to almost half of the size of the population. We show that this phenomenon occurs when a critical number of long-range connections are present in the underlying network of interactions. We have numerically characterized four phases on the space of parameters of the system: an ordered phase; a semi-ordered phase where almost half of the population consists of the largest minority in a state different from that of the mass media; a disordered phase; and a chimera-like phase where one large domain coexists with many very small domains.

Generalized synchronization of chaos in autonomous systems.

We extend the concept of generalized synchronization of chaos, a phenomenon that occurs in driven dynamical systems, to the context of autonomous spatiotemporal systems. It means a situation where the chaotic state variables in an autonomous system can be synchronized to each other, but not to a coupling function defined from them. The form of the coupling function is not crucial; it may not depend on all the state variables. Nor does it need to be active for all times for achieving generalized synchronization. The procedure is based on an analogy between a response map subject to an external drive acting with a probability p and an autonomous system of coupled maps where a global interaction between the maps takes place with this same probability. It is shown that, under some circumstances, the conditions for stability of generalized synchronized states are equivalent in both types of systems. Our results reveal the existence of similar minimal conditions for the emergence of generalized synchronization of chaos in driven and in autonomous spatiotemporal systems.

Phase growth in bistable systems with impurities.

A system of coupled chaotic bistable maps on a lattice with randomly distributed impurities is investigated as a model for studying the phenomenon of phase growth in nonuniform media. The statistical properties of the system are characterized by means of the average size of spatial domains of equivalent spin variables that define the phases. It is found that the rate at which phase domains grow becomes smaller when impurities are present and that the average size of the resulting domains in the inhomogeneous state of the system decreases when the density of impurities is increased. The phase diagram showing regions where homogeneous, heterogeneous, and chessboard patterns occur on the space of parameters of the system is obtained. A critical boundary that separates the regime of slow growth of domains from the regime of fast growth in the heterogeneous region of the phase diagram is calculated. The transition between these two growth regimes is explained in terms of the stability properties of the local phase configurations. Our results show that the inclusion of spatial inhomogeneities can be used as a control mechanism for the size and growth velocity of phase domains forming in spatiotemporal systems.

Chimeras and clusters in networks of hyperbolic chaotic oscillators.

We show that chimera states, where differentiated subsets of synchronized and desynchronized dynamical elements coexist, can emerge in networks of hyperbolic chaotic oscillators subject to global interactions. As local dynamics we employ Lozi maps, which possess hyperbolic chaotic attractors. We consider a globally coupled system of these maps and use two statistical quantities to describe its collective behavior: the average fraction of elements belonging to clusters and the average standard deviation of state variables. Chimera states, clusters, complete synchronization, and incoherence are thus characterized on the space of parameters of the system. We find that chimera states are related to the formation of clusters in the system. In addition, we show that chimera states arise for a sufficiently long range of interactions in nonlocally coupled networks of these maps. Our results reveal that, under some circumstances, hyperbolicity does not impede the formation of chimera states in networks of coupled chaotic systems, as it had been previously hypothesized.

Local versus global interactions in nonequilibrium transitions: A model of social dynamics.

A nonequilibrium system of locally interacting elements in a lattice with an absorbing order-disorder phase transition is studied under the effect of additional interacting fields. These fields are shown to produce interesting effects in the collective behavior of this system. Both for autonomous and external fields, disorder grows in the system when the probability of the elements to interact with the field is increased. There exists a threshold value of this probability beyond which the system is always disordered. The domain of parameters of the ordered regime is larger for nonuniform local fields than for spatially uniform fields. However, the zero field limit is discontinous. In the limit of vanishingly small probability of interaction with the field, autonomous or external fields are able to order a system that would fall in a disordered phase under local interactions of the elements alone. We consider different types of fields which are interpreted as forms of mass media acting on a social system in the context of Axelrod's model for cultural dissemination.

Polycythemia vera treated with pipobroman as single agent: low incidence of secondary leukemia in a cohort of patients observed during 20 years (1971-1991).

The 'gold standard' for the treatment of polycythemia vera (PV) is to date undefined. We performed a retrospective analysis to evaluate the outcome of a cohort of PV patients treated with pipobroman (PB) at a single institution during a period of 20 years (November 1971-October 1991). During this period, a total of 366 adult PV patients were diagnosed according to Polycythemia Vera Study Group (PVSG) criteria. Of these, only 199 (54%) were treated with PB: 92 were males and 107 females, median age was 63.0 years (range 25.2-87.3 years). Major clinical characteristics at onset were as follows: 34 (17%) patients had splenomegaly >3 cm below costal margin, 70 (35%) had platelets >600,000/mm3, 79 (40%) had white blood cells >12,000 mm3; 97 (49%) had hypertension, 83 (42%) had minor neurological symptoms (as vertigo, headache, paresthesias), 33 (17%) had pruritus and 27 (13%) had thrombotic features. All patients received PB at the dosage of 1 mg/kg/day until response was achieved (hematocrit value <50% in males and <45% in females). Thereafter treatment was given according to toxicity and maintenance of response. All patients were phlebotomized before starting treatment (mean number of phlebotomies performed: three, range 2-4) and 47 of them received PB when hematocrit value was already reduced at response levels: therefore, while all patients are evaluable for acute and long-term toxicity, only 152/199 (76.4%) patients are evaluable for response to PB. During a median time of 2 months, all these 152 patients achieved the response; as maintenance, 128/199 (64.3%) patients were managed with PB alone and 71/199 (35.7%) patients received phlebotomies occasionally. Sixty-one out of 199 (30.6%) patients developed disease-related complications (25 neurological symptoms, 21 thrombotic complications, 12 cardiovascular problems, three hepatic failures). Eleven (5.5%) patients developed acute myelogenous leukemia (AML) after a median time of treatment of 89 months (range 33-188 months), 11 (5.5%) patients developed myelofibrosis (median time from treatment 71 months, range 31-182 months) and in six (3%) patients cancer occurred (median time from treatment 85 months, range 13-118 months). The cumulative risk of leukemia in PV was 2% (95% CI: 0-4%) and 6% (95% CI: 1-11%) at 5 and 10 years respectively; the cumulative risk of myelofibrosis was 2% (95% CI: 1-5%) and 9% (95% CI: 3-15%) at 5 and 10 years, respectively. As of May 1996, 33 (16.6%) patients are lost to follow-up, 40 (20.1%) are dead and 126 (63.3%) are alive with a median overall survival of 191 months. In conclusion, this retrospective analysis confirms the efficacy and safety of PB in PV patients and its low leukemogenic role; prospective studies are needed to evaluate the real impact of PB in the treatment of PV.

Synchronization in driven versus autonomous coupled chaotic maps.

The phenomenon of synchronization occurring in a locally coupled map lattice subject to an external drive is compared to the synchronization process in an autonomous coupled map system with similar local couplings plus a global interaction. It is shown that chaotic synchronized states in both systems are equivalent, but the collective states arising after the chaotic synchronized state becomes unstable can be different in these two systems. It is found that the external drive induces chaotic synchronization as well as synchronization of unstable periodic orbits of the local dynamics in the driven lattice. On the other hand, the addition of a global interaction in the autonomous system allows for chaotic synchronization which is not possible in a large coupled map system possessing only local couplings.

Nonequilibrium transition induced by mass media in a model for social influence.

We study the effect of mass media, modeled as an applied external field, on a social system based on Axelrod's model for the dissemination of culture. The numerical simulations show that the system undergoes a nonequilibrium phase transition between an ordered phase (homogeneous culture) specified by the mass media and a disordered (culturally fragmented) one. The critical boundary separating these phases is calculated on the parameter space of the system, given by the intensity of the mass media influence and the number of options per cultural attribute. Counterintuitively, mass media can induce cultural diversity when its intensity is above some threshold value. The nature of the phase transition changes from continuous to discontinuous at some critical value of the number of options.

Pharmacokinetics, immunogenicity, and efficacy of dimeric TNFR binding proteins in healthy and bacteremic baboon.

Immunogenicity, pharmacokinetics, and therapeutic efficacy of three novel dimeric soluble tumor necrosis factor (TNF)-receptor I constructs [TNF-binding protein (bp)] were evaluated in 28 baboons, 12 of which were healthy and 16 were challenged with a lethal Escherichia coli bacteremia. The three constructs differed only in the number of extracellular domains of the TNF receptor I and were dimerized with polyethylene glycol. Although all three constructs had generally similar pharmacokinetics when administered to a naive animal, they differed quantitatively in their immunogenicity. Antibodies were detected more frequently, and titers were significantly higher (P < 0.05) in both healthy and septic baboons that received the 4.0-domain TNF-bp construct, compared with animals receiving the 2.6-domain construct. When the TNF-bp constructs were administered a second time (21 days later), the half-lives of the three constructs were significantly shorter in animals that had an antibody response after the first injection. In contrast, all three TNF-bp constructs were equally effective at improving outcome, blocking a systemic TNF-alpha response, and attenuating the cytokine responses when administered at a dose of 1.0 mg/kg body wt 1 h before a lethal E. coli infusion. The findings suggest that immunogenicity of TNF-bp constructs can be altered by changing the number of functional domains, without affecting their capacity to neutralize TNF-alpha and to abrogate TNF-mediated pathology.

A comparison of image guidance systems for sinus surgery.

OBJECTIVE: Intraoperative computed tomographic guidance systems are available which utilize either electromagnetic (radiofrequency) or optical (infrared) signals to localize instruments within the surgical field. The objective of this study was to compare the use of these two different image guidance technologies for sinus surgery. STUDY DESIGN: Prospective cohort study. METHODS: The electromagnetic-based InstaTrak system (n = 24) and the optical-based Stealth-Station (n = 49) were compared in a series of 73 consecutive sinus series which utilized image guidance technology. RESULTS: Both the electromagnetic and optical systems provided anatomic localization to within 2 mm during surgery. Intraoperative reregistration was effective in correcting for any anatomic drift. There were no intraoperative complications. Mean operative times were 156.3 +/- 8.9 minutes for the electromagnetic and 139.2 +/- 17.7 minutes for the optical system (P < .05). The average intraoperative blood loss did not differ significantly between groups (electromagnetic, 190.6 +/- 28.7 mL; optical, 172.4 +/- 23.0 mL). Each system was noted to have limitations. The presence of metallic objects in the operative field interfered with functioning of the electromagnetic system, whereas the optical system required a clear line of sight to be maintained between the infrared camera and surgical handpiece. Both systems required specialized headsets to be worn by patients during surgery to monitor head position. The electromagnetic system also required these headsets to be worn during the preoperative computed tomography scan. CONCLUSION: Although these two image guidance systems both proved valuable for anatomic localization during sinus surgery, individual preferences can be based on distinct differences in their design and operation.

Physician experience with an optical image guidance system for sinus surgery.

OBJECTIVES/HYPOTHESIS: Intraoperative guidance systems have been developed which use infrared tracking technology to assist with anatomical localization during sinus surgery. Although the introduction of this technology is intended to increase the safety and efficacy of sinus surgery, little is known about its actual impact in the clinical setting. The objective of this report was to study the application and utilization of an image guidance system shared by multiple sinus surgeons in a specialty hospital. STUDY DESIGN: Combined prospective case study and retrospective analysis of physician surveys. METHODS: An optical-based image guidance system (LandmarX, Xomed, Inc., Jacksonville, FL) was used by 34 physicians to perform 754 sinonasal surgeries over a 2.5-year period at Massachusetts Eye and Ear Infirmary. In 19 cases, system registration was repeated during surgery to measure the effect of fiducial placement on system accuracy. RESULTS: The measured accuracy of anatomical localization at the start of surgery (mean value, 1.69 +/- 0.38 mm) was comparable to the perceived accuracy of 1 to 3 mm that was reported by 79% of surgeons surveyed. Operating room time (mean period, 130.6 +/- 41.1 min) correlated with the surgical procedure performed (P < .05), but not with the disease stage or revision rate. According to a majority of surgeons, use of the image guidance equipment increased operating room time by 15 to 30 minutes during initial cases and by 5 to 15 minutes once experience with the equipment had been acquired. More than 90% of surgeons anticipated their continued use of the image guidance equipment for sinus surgery at a similar or greater level in the future. CONCLUSION: An optical-based image guidance system can be successfully integrated into a multisurgeon operating room environment. Use of the system provides accurate anatomical localization during sinus surgery and results in a relatively high level of physician satisfaction.

The role of image-guidance systems for head and neck surgery.

BACKGROUND: Although image-guidance systems have gained widespread acceptance for neurosurgical procedures, their role for extracranial surgery of the head and neck is yet to be defined. OBJECTIVES: To describe the authors' experience with image-guidance systems and to measure the effects of image-guided technology on the performance of minimally invasive otolaryngological procedures. DESIGN: Prospective cohort study. METHODS: Optical- and electromagnetic-based image-guidance systems were used during the performance of endoscopic surgery on patients with disease of the paranasal sinuses, orbit, skull base, and temporal bone (n = 79). Results were compared with those in control patients who underwent similar surgery without image guidance during the same period (n = 42). RESULTS: Intraoperative anatomical localization was accurate to within 2 mm at the start of surgery in all cases. Accuracy degraded by 0.89 +/- 0.20 mm (mean +/- SE) during the operative procedure. The use of an image-guidance system increased operating room time by a mean of 17.4 minutes per case (image-guidance group, 137.3 +/- 6.0 minutes [mean +/- SE]; control group, 119.9 +/- 5.7 minutes; P=.006) and increased hospital charges by approximately $496 per case. Intraoperative blood loss (image-guidance group, 178.4 +/- 18.0 mL [mean +/- SE]; control group, 149.4 +/- 20.1 mL) and complication rates (image-guidance group, 2.7%; control group, 4.7%) did not differ significantly between groups. CONCLUSIONS: Image-guidance systems can provide the head and neck surgeon with accurate information regarding anatomical localization in cases with poor surgical landmarks caused by extensive disease or prior surgery; however, the use of such systems is associated with increased operative time and expense.

Dynamics of coupling functions in globally coupled maps: size, periodicity, and stability of clusters.

It is shown how different globally coupled map systems can be analyzed under a common framework by focusing on the dynamics of their respective global coupling functions. We investigate how the functional form of the coupling determines the formation of clusters in a globally coupled map system and the resulting periodicity of the global interaction. The allowed distributions of elements among periodic clusters is also found to depend on the functional form of the coupling. Through the analogy between globally coupled maps and a single driven map, the clustering behavior of the former systems can be characterized. By using this analogy, the dynamics of periodic clusters in systems displaying a constant global coupling are predicted; and for a particular family of coupling functions, it is shown that the stability condition of these clustered states can straightforwardly be derived.

Pattern formation on trees.

Networks having the geometry and the connectivity of trees are considered as the spatial support of spatiotemporal dynamical processes. A tree is characterized by two parameters: its ramification and its depth. The local dynamics at the nodes of a tree is described by a nonlinear map, giving rise to a coupled map lattice system. The coupling is expressed by a matrix whose eigenvectors constitute a basis on which spatial patterns on trees can be expressed by linear combination. The spectrum of eigenvalues of the coupling matrix exhibit a nonuniform distribution that manifests itself in the bifurcation structure of the spatially synchronized modes. These models may describe reaction-diffusion processes and several other phenomena occurring on heterogeneous media with hierarchical structure.

Turbulence in small-world networks.

The transition to turbulence via spatiotemporal intermittency is investigated in the context of coupled maps defined on small-world networks. The local dynamics is given by the Chaté-Manneville minimal map previously used in studies of spatiotemporal intermittency in ordered lattice. The critical boundary separating laminar and turbulent regimes is calculated on the parameter space of the system, given by the coupling strength and the rewiring probability of the network. Windows of relaminarization are present in some regions of the parameter space. New features arise in small-world networks; for instance, the character of the transition to turbulence changes from second-order to a first-order phase transition at some critical value of the rewiring probability. A linear relation characterizing the change in the order of the phase transition is found. The global quantity used as order parameter for the transition also exhibits nontrivial collective behavior for some values of the parameters. These models may describe several processes occurring in nonuniform media where the degree of disorder can be continuously varied through a parameter.

Phase separation in coupled chaotic maps on fractal networks.

The phase ordering dynamics of coupled chaotic maps on fractal networks is investigated. The statistical properties of the systems are characterized by means of the persistence probability of equivalent spin variables that define the phases. The persistence saturates and phase domains freeze for all values of the coupling parameter as a consequence of the fractal structure of the networks, in contrast to the phase transition behavior previously observed in regular Euclidean lattices. Several discontinuities and other features found in the saturation persistence curve as a function of the coupling are explained in terms of changes of stability of local phase configurations on the fractals.