Mathematical Modeling and Simulation of Nonlinear Process in Enzyme Kinetics

A deep and analytical understanding of the enzyme kinetics has attracted a great attention of scientists from biology, medicine, chemistry, and pharmacy. Mathematical models of enzyme kinetics offer several advances for this deep and analytical understanding due to their in compensable potential in predicting kinetic processes and anticipating appropriate interventions when required. This chapter concerns mathematical modeling analysis and simulation of enzyme kinetics. Experimental data and available knowledge on enzyme mechanics are used in constituting a mathematical model. The models are either in the form of linear or nonlinear ordinary differential equations or partial differential equations. These equations are composed of kinetic parameters such as kinetic rate constants, initial rates, and concentrations of enzymes. The nonlinear nature of enzymatic reactions and a large number of parameters have caused major issues with regard to efficient simulation of those reactions. In this work, an enzymatic system that includes Michaelis-Menten and Ping Pong kinetics is modeled in the form of differential equations. These equations are solved numerically in which the system parameters are estimated. The numerical results are compared with the results from an existing work in literature

Effect of supplementary sugar feeding on colony growth of Asiatic hive bee, Apis cerana indica F.

Honey bees also known as "Angels of Agriculture" are arguably the most vital insects on the planet. Bee nutrition is an important aspect of colony management. Supplementary feeding is essential for maintaining the strength and health of honey bee colonies, especially during dearth periods. Experiments were conducted to evaluate a suitable, cheaper carbohydrate supplement and its effect on the colony growth of the Asiatic hive bee Apis cerana indica. Four different sugar syrup components, viz., sugar, water, milk and glucose, were combined to form  seven treatments : T1-Sugar: water (1:1), T2-Sugar: water (1:1) + Glucose (2%),T3- Sugar: water (1:1) + Desi cow’s milk (2%),T4- Sugar + water (2:1), T5- Sugar + water (2:1) + Glucose (2%) ,T6- Sugar + water (2:1) + Desi cow’s milk (2%) and T7-Control and evaluated to select honey bee colonies . Among the different sugar syrup feeding treatments, the colonies fed with T2 - Sugar: water (1:1) + Glucose (2%) had a profound effect within a month and the colonies recorded an increase in sealed brood area from 175.66 cm2 to 425.00 cm2, honey store area from 49.00 cm2 to 130.33 cm2, pollen store area from 47. 33 cm2 to 125.33 cm2, adult bee population from 4318.66 bees/colony to 4933.33 bees/colony. The work is new to A. cerana indica. Many of their bee colonies suffer from poor nutrition and absconding during the dearth period. The present study will help the beekeeping farmers maintain these Asiatic honey bee colonies during the starved period and will be useful in income generation.          

Establishing catalytic activity on an artificial (βα)8-barrel protein designed from identical half-barrels

AbstractIt has been postulated that the ubiquitous (βα)8-barrel enzyme fold has evolved by duplication and fusion of an ancestral (βα)4-half-barrel. We have previously reconstructed this process in the laboratory by fusing two copies of the C-terminal half-barrel HisF-C of imidazole glycerol phosphate synthase (HisF). The resulting construct HisF-CC was stepwise stabilized to Sym1 and Sym2, which are extremely robust but catalytically inert proteins. Here, we report on the generation of a circular permutant of Sym2 and the establishment of a sugar isomerization reaction on its scaffold. Our results demonstrate that duplication and mutagenesis of (βα)4-half-barrels can readily lead to a stable and catalytically active (βα)8-barrel enzyme

Impact of COVID-19 lockdown in Tamil Nadu: Benefits and challenges on environment perspective

Prior to COVID-19 lockdown in our country, the air around us was highly polluted due to emission of greenhouse gases for over centuries. Melting of glaciers and rising of the sea levels were evidenced as the alarming signs of Global warming. Environmental degradation was observed rapidly due to depletion and exploitation of natural resources like soil, water and air. But there are few changes observed in the environment after the country’s lockdown due to coronavirus pandemic. The effects of lockdown are also entwined with human and political effects such as uncontrollable public mobility, poor access to health care due to lack of sufficient medical facilities, unemployment, migrants’ crisis, starvation and prevailing poverty. However, apart from sufferings of entire country especially the people by social, economic and psychologic effects in day-to-day life, this lockdown has given to the nature the most optimistic scenarios in environment especially with enhanced air quality, cleaner water and undisturbed pristine forest. The present review brings out the actual picture of the eco-processes that reduced man-made pollution in air and water as well as disposal of domestic or biological waste along with societal implications after imposing lockdown in the state of Tamil Nadu

Non-linear differential equations and rotating disc electrodes: Padé approximation technique.

Rotating disc electrodes are preferred devices to analyze electrochemical reactions in electrochemical cells and various rotating machinery such as fans, turbines, and centrifugal pumps. This model contains system of fully coupled and highly non-linear equations. This manuscript outlines the steady state solution of rotating disc flow coupled through the fluid viscosity, to the mass-concentration field of chemical species and heat transfer of power-law fluid over rotating disk. Furthermore, a simple analytical expression (Padé approximation) of velocity component/ self-similar velocity profiles is derived from the short and long distance expression. Our analytical results for all distance are compared with previous small and long distance and numerical solutions (Runge-Kutta method), which are in satisfactory agreement

Wide-field compensation of monochromatic eye aberrations: expected performance and design trade-offs

Contiene: fórmulas y 6 ilustraciones.The optical quality of the human eye varies across the visual field. Hence an exact compensation of the eye aberration for a given field point can give rise to a less-than-optimum compensation in neighboring field regions. We have studied some aspects of this problem and present here an approach to design wide-field (,10°) optically thin correcting elements, e.g., phase plates, deformable mirrors, and liquid-crystal displays. Their expected performance is assessed using actual eye aberration data. Particular attention is given to the design of elements providing a minimum averaged rms residual aberration and those providing a nearly uniform rms residual aberration across a given field.Work supported by the Spanish Ministerio de Ciencia y Tecnología, Plan Nacional de Investigación Científica, Desarrollo e Innovación Tecnológica (I 1 D 1 I), DPI2002-04370-C02. - This paper was published in Journal of the Optical Society of America A, and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/abstract.cfm?URI=josaa-20-1-1. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.Peer reviewe

Impact of COVID-19 lockdown in Tamil Nadu: Benefits and challenges on environment perspective

370-381Prior to COVID-19 lockdown in our country, the air around us was highly polluted due to emission of greenhouse gases for over centuries. Melting of glaciers and rising of the sea levels were evidenced as the alarming signs of Global warming. Environmental degradation was observed rapidly due to depletion and exploitation of natural resources like soil, water and air. But there are few changes observed in the environment after the country’s lockdown due to coronavirus pandemic. The effects of lockdown are also entwined with human and political effects such as uncontrollable public mobility, poor access to health care due to lack of sufficient medical facilities, unemployment, migrants’ crisis, starvation and prevailing poverty. However, apart from sufferings of entire country especially the people by social, economic and psychologic effects in day-to-day life, this lockdown has given to the nature the most optimistic scenarios in environment especially with enhanced air quality, cleaner water and undisturbed pristine forest. The present review brings out the actual picture of the eco-processes that reduced man-made pollution in air and water as well as disposal of domestic or biological waste along with societal implications after imposing lockdown in the state of Tamil Nadu

Evidence for the Existence of Elaborate Enzyme Complexes in the Paleoarchean Era

International audience: Due to the lack of macromolecular fossils, the enzymatic repertoire of extinct species has remained largely unknown to date. In an attempt to solve this problem, we have characterized a cyclase subunit (HisF) of the imidazole glycerol phosphate synthase (ImGP-S), which was reconstructed from the era of the last universal common ancestor of cellular organisms (LUCA). As observed for contemporary HisF proteins, the crystal structure of LUCA-HisF adopts the (βα)8-barrel architecture, one of the most ancient folds. Moreover, LUCA-HisF (i) resembles extant HisF proteins with regard to internal 2-fold symmetry, active site residues, and a stabilizing salt bridge cluster, (ii) is thermostable and shows a folding mechanism similar to that of contemporary (βα)8-barrel enzymes, (iii) displays high catalytic activity, and (iv) forms a stable and functional complex with the glutaminase subunit (HisH) of an extant ImGP-S. Furthermore, we show that LUCA-HisF binds to a reconstructed LUCA-HisH protein with high affinity. Our findings suggest that the evolution of highly efficient enzymes and enzyme complexes has already been completed in the LUCA era, which means that sophisticated catalytic concepts such as substrate channeling and allosteric communication existed already 3.5 billion years ago

Towards Photochromic Azobenzene‐Based Inhibitors for Tryptophan Synthase

Light regulation of drug molecules has gained growing interest in biochemical and pharmacological research in recent years. In addition, a serious need for novel molecular targets of antibiotics has emerged presently. Herein, the development of a photocontrollable, azobenzene‐based antibiotic precursor towards tryptophan synthase (TS), an essential metabolic multienzyme complex in bacteria, is presented. The compound exhibited moderately strong inhibition of TS in its E configuration and five times lower inhibition strength in its Z configuration. A combination of biochemical, crystallographic, and computational analyses was used to characterize the inhibition mode of this compound. Remarkably, binding of the inhibitor to a hitherto‐unconsidered cavity results in an unproductive conformation of TS leading to noncompetitive inhibition of tryptophan production. In conclusion, we created a promising lead compound for combatting bacterial diseases, which targets an essential metabolic enzyme, and whose inhibition strength can be controlled with light

Radiation damage in room-temperature data acquisition with the PILATUS 6M pixel detector

Observations of the dose-rate effect in continuous X-ray diffraction data acquisition at room temperature are presented