1. Dissection of enzymatic kinetics and elucidation of detailed parameters based on the<scp>Michaelis‐Menten</scp>model. Kinetic and thermodynamic connections
- Author
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Silvio A.B. Vieira de Melo, César A. P. Aguirre, Daniel Ferreira de Lima Neto, José Ailton Conceição Bispo, Wallisson Dos S. Lima, and Carlos Francisco Sampaio Bonafe
- Subjects
chemistry.chemical_classification ,Michaelis‐Menten model ,Kinetics ,Numerical modeling ,Thermodynamics ,Dissection (medical) ,Kinetic energy ,medicine.disease ,Michaelis–Menten kinetics ,lcsh:QA75.5-76.95 ,invertase ,numerical modeling ,Invertase ,Enzyme ,chemistry ,lcsh:TA1-2040 ,enzyme kinetics ,medicine ,lcsh:Electronic computers. Computer science ,Enzyme kinetics ,lcsh:Engineering (General). Civil engineering (General) ,Runge‐Kutta method ,computer modeling - Abstract
A computational procedure based on the numerical integration of the Michaelis‐Menten model of enzyme action, free of any restrictions of steady‐state conditions and substrate/enzyme ratios is proposed. The original Michaelis‐Menten data for invertase (Michaelis and Menten, 1913, Biochem Z. 49:333‐369) were reanalyzed. The surface and contour plots that were generated for substrate, free enzyme, complex, and product confirmed the model's usefulness. All energy potentials G and the “conformational drift parameter” δ involved in the enzymatic reactions were determined. Our findings indicate that at so = 0.0052 M the enzyme‐substrate (ES) complex present an energy of dissociation of GE + S➔ES = 15.0 kJ/mol and as so increases to 0.333 M, the GE + S➔ES value decreases to 5.0 kJ/mol, thereby decreasing its presence in solution. Overall, the ability to determine G and δ for each transition suggests a relationship between kinetics and thermodynamics. The analysis proposed here can be directly applied to chemical and biological situations, as well as industrial processes.
- Published
- 2020
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