Environmental Assessment of Relationships and Mutual Influences in the System “Protective Forest Plantations – Anthropogenic Landscapes”

Protective forest plantations (PFP) play an essential functional role in the operation of anthropogenic landscapes (AL). A study of processes in the system “PFP-AL” was conducted in the Boguslav agroforestry state, Kyiv region, Ukraine, to maintain sustainability. A method of ecological monitoring has been proposed to achieve environmental equilibrium stability. The calculations show the stable state of the ecosystem. A graphic-analytical method for quantitative assessment of the potential adverse effects of natural resource management has been proposed. It is shown that additional compensation of adverse effects is necessary, which can be performed by green structures.

The reswitching of techniques and its epistemological implications: a deepening of criticism

ABSTRACT This paper aims (a) to explain the mechanisms from which the problem of reswitching of techniques is formulated and (b) to analyze the implications with regard to the general architecture of neoclassical macroeconomics. I will show how these elements allow refuting the neoclassical theory of income distribution, and why they translate into structural instability. In the first part, I will explain the mechanisms that correspond to the problem of reswitching of techniques; in the second part, I will study the implications linked to the reswitching, with regard to the determinants of income distribution and the equilibrium stability.

Mathematical Modelling to Study Effect of Vaccination on Transmission of CORONA Virus

Since 2019 end, whole of the world is fighting for survival against Covid-19. To overcome the pandemic, global pharmaceutical sector started vaccine research. Early 2021, rose with a hope of vaccine discovery and few companies across the globe have invented and started manufacturing Covid-19 vaccine. As on date vaccination is playing a crucial role in curtaining the spread of this deadly virus caused disease. In this paper, a Compartmental Model is developed to study the spread of Covid-19 taking two different categories of human population into consideration. One is the vaccinated population and other is population without vaccination. Expressions for Reproduction Number are derived for Disease Free Equilibrium (DFE) and Endemic Equilibrium. Stability of the equilibria is also discussed.

Various aspects of liquid and gas pressure metering in problems of statics of flexible bars

In some practical applications, bars are loaded with the pressure of liquids and gases. Although the work of such objects is well studied and described in a large number of papers, some of the latter have wrongful provisions. For example, the equilibrium equations of a pipeline often include axial force instead of equivalent force, which reduces the accuracy of estimating the bending shape and acting stresses. The problem of accounting for pressure is due to the objectively more complex type of this loading in comparison with the forces of weight and insufficient distribution of the known provisions in engineering. This review and methodological paper focuses on a set of issues related to the loading of a bar by pressure. In the research, first, we obtained vector and linearized equations of equilibrium of the bar taking into account the load from the surface pressure. Then, we substantiated the equivalence of loading the bar with pressure and weight load determined by Archimedes’ law. Finally, we gave provisions for taking into account the pressure in the study of the equilibrium, stability, deformation, and strength of the bar. As an example, the effect of pressure in the problems of laying a pipeline on the seabed and evaluating the longitudinal stability of the bar is shown.

Thermodynamic Stability Is a Strong Predictor for the Delivery of DARPins to the Cytosol via Anthrax Toxin

Anthrax toxin has evolved to translocate its toxic cargo proteins to the cytosol of cells carrying its cognate receptor. Cargo molecules need to unfold to penetrate the narrow pore formed by its membrane-spanning subunit, protective antigen (PA). Various alternative cargo molecules have previously been tested, with some showing only limited translocation efficiency, and it may be assumed that these were too stable to be unfolded before passing through the anthrax pore. In this study, we systematically and quantitatively analyzed the correlation between the translocation of various designed ankyrin repeat proteins (DARPins) and their different sizes and thermodynamic stabilities. To measure cytosolic uptake, we used biotinylation of the cargo by cytosolic BirA, and we measured cargo equilibrium stability via denaturant-induced unfolding, monitored by circular dichroism (CD). Most of the tested DARPin cargoes, including target-binding ones, were translocated to the cytosol. Those DARPins, which remained trapped in the endosome, were confirmed by CD to show a high equilibrium stability. We could pinpoint a stability threshold up to which cargo DARPins still get translocated to the cytosol. These experiments have outlined the requirements for translocatable binding proteins, relevant stability measurements to assess translocatable candidates, and guidelines to further engineer this property if needed.

Mathematical Analysis of Oxygen Uptake Rate in Continuous Process under Caputo Derivative

In this paper, the wastewater treatment model is investigated by means of one of the most robust fractional derivatives, namely, the Caputo fractional derivative. The growth rate is assumed to obey the Contois model, which is often used to model the growth of biomass in wastewaters. The characteristics of the model under consideration are derived and evaluated, such as equilibrium, stability analysis, and steady-state solutions. Further, important characteristics of the fractional wastewater model allow us to understand the dynamics of the model in detail. To this end, we discuss several important analyses of the fractional variant of the model under consideration. To observe the efficiency of the non-local fractional differential operator of Caputo over its counter-classical version, we perform numerical simulations.