Traditionally, the dependence of enzyme activity on temperature has been described by a model consisting of two processes: the catalytic reaction defined by DeltaG(Dagger)(cat), and irreversible inactivation defined by DeltaG(Dagger)(inact). However, such a model does not account for the observed temperature-dependent behaviour of enzymes, and a new model has been developed and validated. This model (the Equilibrium Model) describes a new mechanism by which enzymes lose activity at high temperatures, by including an inactive form of the enzyme (E(inact)) that is in reversible equilibrium with the active form (E(act)); it is the inactive form that undergoes irreversible thermal inactivation to the thermally denatured state. This equilibrium is described by an equilibrium constant whose temperature-dependence is characterized in terms of the enthalpy of the equilibrium, DeltaH(eq), and a new thermal parameter, T(eq), which is the temperature at which the concentrations of E(act) and E(inact) are equal; T(eq) may therefore be regarded as the thermal equivalent of K(m). Characterization of an enzyme with respect to its temperature-dependent behaviour must therefore include a determination of these intrinsic properties. The Equilibrium Model has major implications for enzymology, biotechnology and understanding the evolution of enzymes. The present study presents a new direct data-fitting method based on fitting progress curves directly to the Equilibrium Model, and assesses the robustness of this procedure and the effect of assay data on the accurate determination of T(eq) and its associated parameters. It also describes simpler experimental methods for their determination than have been previously available, including those required for the application of the Equilibrium Model to non-ideal enzyme reactions.
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http://dx.doi.org/10.1042/BJ20061143 | DOI Listing |
Infect Dis Model
June 2025
College of Mathematics and System Science, Xinjiang University, Urumqi, 830017, PR China.
This paper formulates an SEIRSHM epidemic model with general birth rate, media report and limited medical resources. Firstly, the well-posedness of the solutions and the extinction of the disease are discussed. Then, the existence of the endemic equilibrium is discussed and we find when ∗ > 1 and = 1, there exhibits a backward bifurcation, if ∗ < 1 and = 1, there exhibits a forward bifurcation.
View Article and Find Full Text PDFSci Rep
January 2025
School of Civil Engineering, Qingdao University of Technology, Qingdao, 266520, People's Republic of China.
Accurately predicting the phase behavior and properties of reservoir fluid plays an essential role in the simulation of petroleum recovery processes. Similar to the inaccurate liquid-density prediction issue in the isobaric-isothermal (PT) phase equilibrium calculations, an inaccurate pressure prediction issue can also be observed in isothermal-isochoric (VT) phase equilibrium calculations which involves a liquid phase. In this work, a practical methodology is proposed to incorporate a volume-translated equation of state in VT phase equilibrium calculations for more accurate pressure predictions.
View Article and Find Full Text PDFPLoS One
January 2025
Nalecz Institute of Biocybernetics and Biomedical Engineering, Polish Academy of Sciences, Warsaw, Poland.
Ion exchange membranes (IEMs) are permselective membranes that, in principle, only allow the flow of ions with a specific charge sign, opposite to that of the fixed membrane ionic groups (counter-ions). This charge-based selectivity, like the size-based selectivity of classic semipermeable membranes, leads to an uneven distribution of permeating ions on the two sides of the membrane, which allows for ion separation or recovery in various processes in industry or environmental protection. Here, we apply the principles of mass balance, charge neutrality, and equality of electrochemical potentials in the state of thermodynamic equilibrium to provide a simple method for estimating the Gibbs-Donnan factors and the equilibrium concentrations of permeating ions in two compartments separated by an ideal IEM, i.
View Article and Find Full Text PDFWiad Lek
January 2025
UKRAINIAN ENGINEERING PEDAGOGICS ACADEMY, KHARKIV, UKRAINE.
Objective: Aim: To study the peculiarities of self-realization of women with different states of family interaction, to build a mathematical model that allows to identify the probability of self-realization of women, depending on their psycho-emotional, individual-psychological, behavioral and partnership patterns, to consider the family as a whole system, to define the phenomenon of family interaction as a leading the construct of the process of family functioning, to distinguish levels of family crisis and states of family interaction.
Patients And Methods: Materials and Methods: Women of different social status and level of self-realization participated in this study.
Results: Results: In the given sample, it was displayed what percentages of divorced women compared to those living in families are self-actualized in their lives.
PLoS One
January 2025
Department of Mathematics, College of Natural and Computational Science, Debre Berhan University, Debre Berhan, Adis Ababa, Ethiopia.
Tuberculosis (TB) is one of the deadly infectious diseases affecting millions of individuals throughout the world. The main objective of this study is to investigate the impact of media coverage on the transmission dynamics of TB with vaccine and treatment strategy using mathematical model analysis. In the qualitative analysis of the proposed model we proved the existence, uniqueness, positivity, and boundedness of the model solutions, investigated both the disease-free and endemic equilibrium points, computed the basic and effective reproduction numbers using next generation matrix approach, analyzed the stability analysis of the equilibrium points, the backward bifurcation using the Castillo-Chavez and Song theorem and we re-formulated the corresponding optimal control problem and analyzed by applying the Pontryagin's Minimum Principle.
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