Characterization of the non-Arrhenius behavior of supercooled liquids by modeling nonadditive stochastic systems.

The characterization of the formation mechanisms of amorphous solids is a large avenue for research, since understanding its non-Arrhenius behavior is challenging to overcome. In this context, we present one path toward modeling the diffusive processes in supercooled liquids near glass transition through a class of nonhomogeneous continuity equations, providing a consistent theoretical basis for the physical interpretation of its non-Arrhenius behavior. More precisely, we obtain the generalized drag and diffusion coefficients that allow us to model a wide range of non-Arrhenius processes. This provides a reliable measurement of the degree of fragility of the system and an estimation of the fragile-to-strong transition in glass-forming liquids, as well as a generalized Stokes-Einstein equation, leading to a better understanding of the classical and quantum effects on the dynamics of nonadditive stochastic systems.

Effect of postnatal methylmalonate administration on adult rat behavior.

1. Methylmalonate (MMA) levels (2.0-2.5 mM) comparable to those of human methylmalonic acidemia were achieved in blood of young rats from the 5th to the 25th day of life by injecting the drug subcutaneously twice a day with an interval of 8 h. MMA doses ranged from 0.76 to 1.69 mumol/g body weight as a function of animal age. MMA-treated rats had normal body and brain weights. 2. Behavioral studies using aversive and nonaversive tasks were performed at 60 days of life. Motor activity was similar in MMA-treated and saline-treated controls. No differences in performance between these groups were identified in the shuttle-avoidance responses and in the inhibitory avoidance tasks. However, MMA-injected rats escaped footshock faster than the controls (1.22 +/- 0.11 vs 1.76 +/- 0.14 (mean +/- SEM) for 24 rats in each group (P less than 0.01)) suggesting that they may be hyperreactive to this stimulus. 3. In the open field, a nonaversive behavior task, MMA-injected rats, in contrast to control rats, presented no habituation. 4. Our results suggest that MMA by itself may impair central nervous system function, causing minor disabilities which result in specific learning deficiencies.

Diminished concentrations of ganglioside N-acetylneuraminic acid (G-NeuAc) in cerebellum of young rats receiving chronic administration of methylmalonic acid.

Sustained levels of methylmalonate comparable to those of human methylmalonic acidemia were achieved in the blood of young rats from the 5th till the 25th day of life by injecting them subcutaneously with buffered methylmalonic acid (MMA) twice a day at 8-h intervals. A matched group of rats (controls) was treated with saline. The animals were weighed and killed by decapitation at 25 days of age. Cerebellum and cerebrum were weighed and their contents of protein, DNA and ganglioside N-acetylneuraminic acid (G-NeuAc), as well as the protein/DNA ratio determined. Body weight, cerebral and cerebellar weight did not differ in both groups. The concentrations of protein, DNA and the protein/DNA ratio were also similar in the experimental and control groups. The results indicate that MMA per se does not interfere with the appetite of the animals and does not affect cellular proliferation and growth in cerebrum and cerebellum. We also found that G-NeuAc concentration is significantly reduced in the cerebellum. Therefore, since a deficit of an important component of brain closely related to the dendritic surface (synaptogenesis) occurs in MMA-treated rats, it is tempting to speculate whether this alteration may be associated or even partly responsible for the mental retardation in patients affected by methylmalonic acidemia.