(R1488) Transformation of Glucokinase under Variable Rate Constants and Thermal Conditions: A Mathematical Model

Authors

Mukhtar Ahmad Khanday, University of Kashmir
Roohi Bhat, University of Kashmir

Abstract

The glucokinase (GK) in cells plays a pivotal role in the regulation of carbohydrate metabolism and acts as a sensor of glucose. It helps us to control glucose levels during fast and food intake conditions through triggering shifts in metabolism or cell functions. Various forms of hypoglycaemia and hyperglycaemia occur due to the transformations of the gene of the Glucokinase. The mathematical modelling of enzyme dynamics is an emerging research area to serve its role in biological investigations. Thus, it is imperative to establish a mathematical model to understand the kinetics of native and denatured forms of enzyme-GK under thermal stress with respect to time. The formulation of the current model is based on the number of non-linear ordinary differential equations with suitable initial and boundary conditions. The transformations of glucokinase were studied using mathematical and computational simulations in order to estimate the concentration of native and denatured enzyme forms with respect to different rate constants and under various thermal changes. The results obtained in this model were verified with the empirical outcome of Sanchez Ruiz et al. and Weinhouse for the validity and efficacy of the formulated model.

Recommended Citation

Khanday, Mukhtar Ahmad and Bhat, Roohi (2021). (R1488) Transformation of Glucokinase under Variable Rate Constants and Thermal Conditions: A Mathematical Model, Applications and Applied Mathematics: An International Journal (AAM), Vol. 16, Iss. 2, Article 10.
Available at: https://digitalcommons.pvamu.edu/aam/vol16/iss2/10