The aim of this study was to determine whether dobutamine, dopamine, or milrinone (a phosphodiesterase [PDE] III inhibitor) would support cardiac function that had been attenuated by administration of the beta-blocker, carvedilol (0.2, 0.4, or 0.8 mg/kg). Hemodynamic and cardiac parameters including the heart rate (HR), left-ventricular fractional shortening (FS), and arterial pressure were mea...

We suggest generalizations of the mathematical model of magnetic insulation, described by multidimensional quasi potential ODE system or PDE system with two-dimensional Laplace operator. Existence conditions of the first integrals of a certain type for the class of nonlinear quasi potential systems, including the model vacuum diode are obtained. Integrability of the vacuum diode models is justi...

Based on the local fractional derivative, a new Klein-Fock-Gordon equation is derived in this paper for first time. A simple method namely Yang?s special function used to seek non-differentiable exact solutions. The whole calculation process strongly shows that proposed and effective, can be applied investigate solu?tions of other PDE.

In this paper, we study a new class of equations called mean-field backward stochastic differential (BSDEs, for short) driven by fractional Brownian motion with Hurst parameter H > 1/2. First, the existence and uniqueness BSDEs are obtained. Second, comparison theorem solutions is established. Third, as an application, connect nonlocal partial equation (PDE, short), derive relationship between ...

In this article, approximate solutions of some PDE fractional order are investi?gated with the help a new semi-analytical method called optimal auxiliary function method. The proposed was tested upon time-fractional Fisher equation, Fornberg-Whitham and Inviscid Burger equation. beauty is that there no need for discretization assumptions small or large parameters provides an ap?proximate soluti...

Parameterisation of facial expressions on PDE surface representations of human faces are presented in this work. Taking advantage of the boundary-value approach inherent to Bloor-Wilson PDE method, facial expressions are achieved by manipulating the original boundary curves. Such curves are responsible for generating a surface representation of a human face in its neutral configuration, so that...

We consider a parabolic-type PDE with diffusion given by fractional Laplacian operator and quadratic nonlinearity of the 'gradient' solution, convoluted singular term b. Our first result is well-posedness for this problem: show existence uniqueness (local in time) mild solution. The main about blow-up said particular we find sufficient conditions on initial datum b to ensure solution finite time.

Background: The increasing use of nuclear radiation for human welfare necessitates the search for new, safe, cost effective radio protectors not only for the personnel’s charged with the responsibility of working or testing with radiations in laboratories, but also for general public. With this view the present study has been undertaken to determine the deleterious effects of sub lethal g...

This paper investigates the pricing formula for barrier options where underlying asset is driven by sub-mixed fractional Brownian motion with jump. By applying corresponding Ito^’s formula, B-S type PDE derived a self-financing strategy. Furthermore, explicit obtained through converting to Cauchy problem. Numerical experiments are conducted test impact of price, Hurst index, jump intensity and ...