the performance of water flooding can be investigated by using either detail numerical modeling or simulation, or simply through the analytical buckley-leverett (bl) model. the buckley-leverett analytical technique can be applied to one-dimensional homogeneous systems. in this paper, the impact of heterogeneity on water flooding performance and fractional flow curve is investigated. first, a ba...

The minimal model was proposed in the late 1970s by Bergman et al. (Am. J. Physiol. 1979; 236(6):E667) as a powerful model consisting of three differential equations describing the glucose and insulin kinetics of a single individual. Considering the glucose and insulin simultaneously, the minimal model is a highly ill-posed estimation problem, where the reconstruction most often has been done b...

the desire to achieve cosmetic rejuvenation and reduce effects of aging and photodamage urged scientists to develop effectual techniques which have minimal side effects and impressive long-term efficacy. traditional ablative resurfacing laser therapy has been used for several years;however, it has harmful side effects on the patient’s skin such as dyspigmentation, persistent erythema, infection...

A series of [b]-fused 6,7-diethynylquinoxaline derivatives have been synthesized through an imine condensation strategy to examine the effect of extended benzannelation on the thermal reactivity of enediynes. Absorption and emission spectra of the highly conjugated quinoxalenediynes were red-shifted approximately 100-200 nm relative to those of 1,2-diethynylbenzene. Strong exotherms indicative ...

We characterise the bolus insulin input which minimises maximum plasma glucose concentration predicted by Magdelaine and Bergman minimal models in response to any positive bounded disturbance whilst remaining above a fixed lower concentration. This characterisation is terms of maxima minima limits controllability such systems. Any further attempt will result hypoglycaemia.

In the paper, we investigate weighted composition operators on Bergman spaces of a half-plane. We characterize which are hermitian and those complex symmetric with respect to family conjugations. As it turns out, enhanced by symmetry must be bounded. Hermitian, unitary proven an adapted highly relevant conjugation. classify linear fractional functions give rise bounded operators. end paper natu...

Regulating plasma glucose levels for both type I and II diabetic patients is a challenging task. Understanding the effects of meals taken, physical exercises stress will contribute significantly to overall management levels. This paper provides an extension Bergman minimal model represent 12-compartmental models associated with interactions within semi-closed loop system using stochastic differ...

In this paper, we characterize the bonudedness and compactness of weighted composition operators from weighted Bergman spaces to weighted Bloch spaces. Also, we investigate weighted composition operators on weighted Bergman spaces and extend the obtained results in the unit ball of $mathbb{C}^n$.