Stochastic differential equations (SDEs) are assuming an important role in the definition of dynamical models allowing for explanation of internal variability (stochastic noise). SDE models are well established in many fields, such as investment finance, population dynamics, polymer dynamics, hydrology and neuronal models. The metabolism of glucose and insulin has not yet received much attentio...

Salvia divinorum is a widespread hallucinogenic herb traditionally employed for divination, as well as a medicament for several disorders including disturbances of gastrointestinal motility. In the present study we evaluated the effect of a standardized extract from the leaves of S. divinorum (SDE) on enteric cholinergic transmission in the guinea-pig ileum. SDE reduced electrically evoked cont...

This paper describes a study of Java program debugging using a multiple window software debugging environment (SDE). In this study we have replicated an earlier study by Romero et al. (2002a, 2002b, 2003), but with the difference of using both the Restricted Focus Viewer and the eye tracking equipment to track the visual attention of the subjects. The study involved ten subjects debugging short...

In this paper, we study the following stochastic differential equation (SDE) in R: dXt = dZt + b(t, Xt)dt, X0 = x, where Z is a Lévy process. We show that for a large class of Lévy processes Z and Hölder continuous drift b, the SDE above has a unique strong solution for every starting point x ∈ R . Moreover, these strong solutions form a C-stochastic flow. As a consequence, we show that, when Z...

We develop a weak exact simulation technique for a process X defined by a multidimensional stochastic differential equation (SDE). Namely, for a Lipschitz function g, we propose a simulation based approximation of the expectation E[g(Xt1 , · · · , Xtn)], which by-passes the discretization error. The main idea is to start instead from a wellchosen simulatable SDE whose coefficients are up-dated ...

the composition of the essential oils of teucrium chamaedrys l. belongs to the family lamiaceae, it is growing wild in the margin of mountainous roads of arid and cold climate of north iran. in this research, essential oils of t. chamaedrys, extracted and measured at the different location by different methods of distillationand then were analyzed by gc and gc/ms. investigation and comparison o...

In this paper we use the analogy of Parrondo's games to design a second order switched mode circuit which is unstable in either mode but is stable when switched. We do not require any sophisticated control law. The circuit is stable, even if it is switched at random. We use a stochastic form of Lyapunov's second method to prove that the randomly switched system is stable with probability of one...

MOTIVATION The explosion of microarray studies has promised to shed light on the temporal expression patterns of thousands of genes simultaneously. However, available methods are far from adequate in efficiently extracting useful information to aid in a greater understanding of transcriptional regulatory network. Biological systems have been modeled as dynamic systems for a long history, such a...