Effect of cerebral palsy and dental caries on dental plaque index, salivary parameters and oxidative stress in children and adolescents.

PURPOSE: The aim of the present study was to investigate the effect of cerebral palsy and dental caries on dental plaque index, salivary parameters and oxidative stress in children and adolescents. METHODS: Seventy children and adolescents aged 2-20 years were divided into four groups: neurotypical controls-inactive caries (NCIC; n = 19); neurotypical controls-active caries (NCAC; n = 16); cerebral palsy-inactive caries (CPIC; n = 19); and cerebral palsy-active caries (CPAC; n = 16). The visible dental plaque index was determined after drying the tooth surfaces and without any mechanical or chemical disclosing methods. Salivary pH and buffer capacity were measured 1 hour after collection using a digital pH meter. Saliva was used to evaluate oxidative status based on the levels of reactive species, lipid peroxidation and non-enzymatic antioxidants (reduced glutathione and vitamin C). RESULTS: The CPIC and CPAC groups had lower salivary pH and a higher visible dental plaque index. CP was also associated with an increase in salivary levels of markers of oxidative stress and the modulation of salivary levels of non-enzymatic antioxidants. CONCLUSION: Cerebral palsy exerts an influence on the salivary profile, oral health and oxidative stress. The individuals with CP had more acidic saliva and a higher dental plaque index, which were positively correlated with caries activity. CP was associated with high salivary levels of reactive species and lipid peroxidation, demonstrating an imbalance in salivary redox that was particularly associated with caries activity. These factors facilitate the development of oral diseases in individuals with cerebral palsy.

Mechanical properties of amorphous nanosprings.

Helical amorphous nanosprings have attracted particular interest due to their special mechanical properties. In this work we present a simple model, within the framework of the Kirchhoff rod model, for investigating the structural properties of nanosprings having asymmetric cross section. We have derived expressions that can be used to obtain the Young's modulus and Poisson's ratio of the nanospring material composite. We also address the importance of the presence of a catalyst in the growth process of amorphous nanosprings in terms of the stability of helical rods.

Noise autocorrelation and jamming avoidance performance in pulse type electric fish.

The amplitude and the autocorrelation level of the noise affecting the interval between successive electric organ discharges were estimated in isolated fish and in socially interacting fish of the species Gymnotus carapo. Both quantities increased in the fish with the slower discharging rate of the pair during the interaction, and we aim to assess whether they have some functional implication for the efficiency of the jamming avoidance response performed by the fish having the faster discharging rate of the pair. For this purpose, the noisy variability of the intervals around its mean value was simulated using autoregressive models estimated from experimental recordings of isolated and interacting fish. The simulation was implemented using two autoregressive models, each representing one fish of the pair. The jamming avoidance response was included by adding transient interval shortenings to the train simulating the fish of the pair that discharges at a faster rate whenever the two trains were close to discharge simultaneously. The number of double coincidences (i.e., simultaneous discharges occurring in two successive firing cycles) of the two simulated trains was used to measure the efficiency of the jamming avoidance. This quantity was evaluated separately as a function of the autocorrelation level and amplitude of the simulated variability, in realizations with and without jamming avoidance response. Only if jamming avoidance response was included in the simulation have we found that (i) the number of coincidences decreased with the increasing of the autocorrelation and (ii) the increase in the amplitude determined a growth of the coincidence number at a rate that is inversely proportional to the autocorrelation level. We argue that the persistent correlations of the fish variability constitute an adaptation that improves the efficiency of transient interval shortenings as a jamming avoidance strategy. The long autocorrelation time prevents the disruption of the jamming avoidance performance due to increases in the variability amplitude.

Comment on "Dynamics of some neural network models with delay".

Based upon numerical evidence, Ruan et al. [J. Ruan, L. Li, and W. Lin, Phys. Rev. E 63, 051906 (2001)] suggest that the delay differential equation dx/dt(t)=-x(t)+A tanh[x(t)]+B tanh[x(t-tau)] may display chaotic dynamics. As mentioned by Pakdaman and Malta [IEEE Trans. Neural Netw. 9, 231 (1998)], this equation presents a monotonic delayed feedback, so that it satisfies a Poincaré-Bendixson-like theorem, ruling out the existence of complex aperiodic dynamics.

Chaos in two-loop negative feedback systems.

Multiloop delayed negative feedback systems, with each feedback loop having its own characteristic time lag (delay), are used to describe a great variety of systems: optical systems, neural networks, physiological control systems, etc. Previous investigations have shown that if the number of delayed feedback loops is greater than two, the system can exhibit complex dynamics and chaos, but in the case of two delayed loops only periodic solutions were found. Here we show that a period-doubling cascade and chaotic dynamics are also found in systems with two coupled delayed negative feedback loops.

Effect of symmetry breaking on level curvature distributions.

We derive an exact general formalism that expresses the eigenvector and the eigenvalue dynamics as a set of coupled equations of motion in terms of the matrix elements dynamics. Combined with an appropriate model Hamiltonian, these equations are used to investigate the effect of the presence of a discrete symmetry in the level curvature distribution. An explanation of the unexpected behavior of the data regarding frequencies of acoustic vibrations of quartz block is provided.

Metastability for delayed differential equations.

In systems at phase transitions, two phases of the same substance may coexist for a long time before one of them dominates. We show that a similar phenomenon occurs in systems with delayed feedback, where short-term stable oscillatory patterns can also have very long lifetimes before vanishing into constant or periodic steady states.

Asymptotic behavior of irreducible excitatory networks of analog graded-response neurons.

In irreducible excitatory networks of analog graded-response neurons, the trajectories of most solutions tend to the equilibria. We derive sufficient conditions for such networks to be globally asymptotically stable. When the network possesses several locally stable equilibria, their location in the phase space is discussed and a description of their attraction basin is given. The results hold even when interunit transmission is delayed.

A note on convergence under dynamical thresholds with delays.

We complement the study of the asymptotic behaviour of the dynamical threshold neuron model with delay, introduced by Gopalsamy and Leung, by providing a description of the dynamics of the system in the remaining parameters range. We characterize the regions of "harmless" delays and those in which delay-induced oscillations appear.

Effect of delay on the boundary of the basin of attraction in a system of two neurons.

The behavior of neural networks may be influenced by transmission delays and many studies have derived constraints on parameters such as connection weights and output functions which ensure that the asymptotic dynamics of a network with delay remains similar to that of the corresponding system without delay. However, even when the delay does not affect the asymptotic behavior of the system, it may influence other important features in the system's dynamics such as the boundary of the basin of attraction of the stable equilibria. In order to better understand such effects, we study the dynamics of a system constituted by two neurons interconnected through delayed excitatory connections. We show that the system with delay has exactly the same stable equilibrium points as the associated system without delay, and that, in both the network with delay and the corresponding one without delay, most trajectories converge to these stable equilibria. Thus, the asymptotic behavior of the network with delay and that of the corresponding system without delay are similar. We obtain a theoretical characterization of the boundary separating the basins of attraction of two stable equilibria, which enables us to estimate the boundary. Our numerical investigations show that, even in this simple system, the boundary separting the basins of attraction of two stable equilibrium points depends on the value of the delays. The extension of these results to networks with an arbritrary number of units is discussed.

Effect of delay on the boundary of the basin of attraction in a self-excited single graded-response neuron.

Little attention has been paid in the past to the effects of interunit transmission delays (representing axonal and synaptic delays) on the boundary of the basin of attraction of stable equilibrium points in neural networks. As a first step toward a better understanding of the influence of delay, we study the dynamics of a single graded-response neuron with a delayed excitatory self-connection. The behavior of this system is representative of that of a family of networks composed of graded-response neurons in which most trajectories converge to stable equilibrium points for any delay value. It is shown that changing the delay modifies the "location" of the boundary of the basin of attraction of the stable equilibrium points without affecting the stability of the equilibria. The dynamics of trajectories on the boundary are also delay dependent and influence the transient regime of trajectories within the adjacent basins. Our results suggest that when dealing with networks with delay, it is important to study not only the effect of the delay on the asymptotic convergence of the system but also on the boundary of the basins of attraction of the equilibria.

Chaos in multi-looped negative feedback systems.

Non-linear control systems with multiple negative feedback loops display periodicity, quasiperiodicity and period-doubling bifurcations leading to chaos. The possibility that normal fluctuations in physiological control may result from deterministic chaos in multi-looped negative feedback systems is discussed.