In this paper we introduce a family of planar, modular and self-similar graphs which have small-world and scale-free properties. The main parameters of this family are comparable to those of networks associated with complex systems, and therefore the graphs are of interest as mathematical models for these systems. As the clustering coefficient of the graphs is zero, this family is an explicit c...

To perform a fast and reproducible analysis in bone histomorphometry, we developed an automatic method for calculating static and dynamic parameters. A color automatic image analyzer (SAMBA 200) was used to obtain the usual parameters of bone histomorphometry: bone volume (Cn-BV%TV), osteoid volume (Cn-OV%BV), and osteoid surface (Cn-OS%BS). A specialized algorithm was designed for calculation ...

Background and Aim: Oral infections are usual between people of any age and can activate systemic inflammation. The microbiota consists of a variety of microorganisms that play an important role in metabolism, immune function, and homeostasis. Oral microbiota in human atherosclerotic plaques has been identified by various techniques. Therefore, the focus of study was to determine the correlatio...

In this article we discuss invertibility conditions for some state space models, including the models that underly simple exponential smoothing, Holt’s linear method, Holt-Winters’ additive method and damped trend versions of Holt’s and Holt-Winters’ methods. The parameter space for which the model is invertible is compared to the usual parameter regions. We find that the usual parameter restri...