The capillary pressure model proposed empirically by Brooks and Corey has been used widely for several decades. However it is not clear why the Brooks-Corey capillary pressure model works so well. In this study, it has been found that the empirical Brooks-Corey capillary pressure model can be derived theoretically from fractal modeling of porous media. Also found was the correlation between the...

M. F. Barnsley proposed the concept of fractal interpolation function (FIF) using iterated function systems (IFS) to describe the real world objects. The purpose of this paper is to study the parameter identification method for FIF with vertical scaling factor functions (VSFF) for one dimensional data set and establish the generalized version of the analytic approach of Mazel [13].

PURPOSE To characterize accumulation of drug-modifiable cardiovascular (CV) risk factors in statin initiators who had no prior medication or hospitalizations for CV disease or diabetes. METHODS A cohort of 45-75-year-old statin initiators in Finland with no prior CV diseases, diabetes or medication for these conditions was followed up for 24 months after statin initiation for accumulation of ...

The fractal degree of adsorption on the multi-walled carbon nanotube has been investigated. The fractal-like Langmuir kinetics model has been used to obtain the fractal degree of ion adsorption on multi-walled carbon nanotube. The behavior of the fractal-like kinetics equation was compared with some famous rate equations like Langmuir, pseudo-first-order and pseudo-second-order equations. It is...

| Developments in telecommunications technology have outpaced progress in teletraac methods and practices. As a result, the planning and dimensioning of even the latest information-age services is, by default, commonly done on the basis of classical teletraac methods developed for circuit switched voice networks. In this paper, we will discuss recent traac measurement studies which have demonst...

This article aims at providing a new theoretical insight into the fundamental question of the origin of truncated fractals in biological systems. It is well known that fractal geometry is one of the characteristics of living organisms. However, contrary to mathematical fractals which are self-similar at all scales, the biological fractals are truncated, i.e. their self-similarity extends at mos...

Cross-validation (CV) is often used to select the regularization parameter in high dimensional problems. However, when applied to the sparse modeling method Lasso, CV leads to models that are unstable in high-dimensions, and consequently not suited for reliable interpretation. In this paper, we propose a model-free criterion ESCV based on a new estimation stability (ES) metric and CV . Our prop...

Continuum modeling of two-dimensional curved fiber fields has suggested that fiber curvature modulates conduction velocity (CV) in the myocardium. To verify the existence of this effect in living tissue, we measured CV in macroscopically anisotropic monolayers of cultured neonatal rat ventricular myocytes with controlled fiber curvature. A novel growth-directing substrate was used to produce fi...

In this work, SiO2 –ZrO2 mixed oxides was prepared by the polymeric sol–gel route. The characterization of pore structure, which determines the permeation process of membrane, is of great importance. So far, most investigations have focused on such pore structure as specific surface area and pore size distribution, but the surface fractal, the important parameter reflecting the roughness of por...

Sea clutter refers to the radar returns from a patch of ocean surface. Accurate modeling of sea clutter and robust detection of low observable targets within sea clutter are important problems in remote sensing and radar signal processing applications. Due to lack of fundamental understanding of the nature of sea clutter, however, no simple and effective methods for detecting targets within sea...