To start with, having employed transformation wave, some nonlinear partial differential equations have been converted into an ODE. Then, using the infinite series method for equations with similar linear part, the researchers have earned the exact soliton solutions of the selected equations. It is required to state that the infinite series method is a well-organized method for obtaining exact s...

let $mathcal {a} $ and $mathcal {b} $ be c$^*$-algebras. assume that $mathcal {a}$ is of real rank zero and unital with unit $i$ and $k>0$ is a real number. it is shown that if $phi:mathcal{a} tomathcal{b}$ is an additive map preserving $|cdot|^k$ for all normal elements; that is, $phi(|a|^k)=|phi(a)|^k $ for all normal elements $ainmathcal a$, $phi(i)$ is a projection, and there exists a posit...

Soluble products from antigen stimulated Trypanosoma cruzi-immune spleen cells enhanced the expression of Ia antigens on proteose-peptone-elicited mouse peritoneal macrophages (M phi). Acquisition of Ia paralleled M phi activation, previously shown to be mediated by this same source of lymphokine (LK). Expression of Ia and four other plasma membrane antigens was monitored by quantitative bindin...

BACKGROUND The widespread use of nutritional supplements among athletes is poorly understood. The prevalence of supplement intake and users' knowledge have been researched independently leading to useful, but disconnected, information on supplement use. METHODS The 'UK Sport 2005 Drug Free Survey' data (n = 874) were re-analysed using association [chi2] and 'strength of association' tests [ph...

We study the phase space analysis of a nonminimally coupled scalar field model with generic potentials such as KKLT, Higgs, inverse and square. Our investigation brings new asymptotic regimes, obtains stable de-Sitter solution. In case we do not find solution whereas Higgs satisfies condition but does provide in usual sense one eigenvalue is zero. obtain time derivative Hubble constant $${\dot{...

The Waxman-Peck theory of population genetics is discussed in regard of soil bacteria. Each bacterium is understood as a carrier of a phenotypic parameter p. The central objective is the calculation of the probability density with respect to p, Phi(p,t;p(0)), of the carriers living at time t>0, provided that initially at t(0)=0, all bacteria carried the phenotypic parameter p(0)=0. The theory i...

We introduce a transcendental equation, describing the subsequent stages of plant cell/organ growth. Starting from empirically verified conclusions originating from the central limit theorem we also insert the influence of temperature on elongation growth to receive a time-dependent equation of growth parameterized by temperature. This self-consistent equation evolves with time using three card...

We prove sharp regularity estimates for solutions of obstacle type problems driven by a class degenerate fully nonlinear operators. More specifically, we consider viscosity \begin{document}$ \begin{equation*} \left\{ \begin{array}{rcll} |D u|^\gamma F(x, D^2u)& = & f(x)\chi_{\{u>\phi\}} \ \rm{ in } B_1 \\ u(x) \geq \phi(x) g(x) \rm{on \partial B_1, \end{array} \right. \end{equation*}...

The relationship of N-formyl-methionyl-leucyl-phenylalanine-stimulated Na+/H+ exchange to the chemotactic responsiveness of human neutrophils was investigated. The pHi changes, measured from the equilibrium distribution of 5,5-dimethyloxazolidine-2,4-dione, were correlated with the migratory behavior of the cells as assessed by the leading front method. Exposure of cells to 10 nM FMLP caused ac...

To understand the ecological and genetic role of viruses in the marine environment, it is critical to know the infectivity of viruses and the types of interactions that occur between marine viruses and their hosts. We isolated four marine phages from turbid plaques by using four indigenous bacterial hosts obtained from concentrated water samples from Mamala Bay, Oahu, Hawaii. Two of the rod-sha...