We consider a variety of nearest-neighbor spin models defined on the d-dimensional hypercubic lattice Z. Our essential assumption is that these models satisfy the condition of reflection positivity. We prove that whenever the associated mean-field theory predicts a discontinuous transition, the actual model also undergoes a discontinuous transition (which occurs near the mean-field transition t...

The current paper is dealing with the thermal reaction and response of skin tissue subjected to a constant heat flux due thermo-electrical shock on bounding plane. dual-phase-lag bio conduction equation based Tzou model has been applied solved in Laplace transform domain by using direct method. numerical inversions transform, solution obtained. thermos-electrical for small value time considered...

We investigate the relative merit of phase-based methods-mean phase coherence, unweighted and weighted phase lag index-for estimating the strength of interactions between dynamical systems from empirical time series which are affected by common sources and noise. By numerically analyzing the interaction dynamics of coupled model systems, we compare these methods to each other with respect to th...

The three-state Potts model with antiferromagnetic nearest-neighbor (n.n.) and ferromagnetic next-nearest-neighbor (n.n.n) interaction is investigated within a mean-field theory. We find that the phase-diagram contains two kind of ordered phases, so-called BSS phase and PSS phase, separated by a discontinuous phase transition line. Order-disorder transition is continuous for the weak n.n.n. int...

Fragments of injured axons that detach from their cell body break down by the molecularly regulated process of Wallerian degeneration (WD). Although WD resembles local axon degeneration, a common mechanism for refining neuronal structure, several previously examined instances of developmental pruning were unaffected by WD pathways. We used laser axotomy and time-lapse confocal imaging to charac...

Two poly(lactic-co-glycolic acid) (PLGA) microsphere formulations, with different polymer molecular weights were investigated to determine whether an in vitro and in vivo relationship could be established for dexamethasone release. A USP apparatus 4 was used for in vitro testing. The in vivo release kinetics and pharmacodynamic effects of dexamethasone were evaluated using a Sprague Dawley rat ...

The kinetics of in vitro fibril assembly of Type I collagen preparations that contain different amounts of covalently cross-linked oligomers was studied with turbidimetry. Fibril formation showed a lag phase with no solution turbidity and a growth phase with a sigmoidal increase in the solution turbidity. The length of the lag phase was inversely related to both the total collagen concentration...

We show that the internal control of adaptation can be obtained from the properties of the phase lag that results from phase synchronization of two nonidentical chaotic oscillators. The direction and magnitude of the phase lag depend upon the relative internal properties of the coupled units, and they can be used as indicators during the adjustment of dynamics, i.e., adaptation of the target un...