Default parameter values are those in the right hand panel of Fig 12. The other panels may be obtained by setting X to 1, 2 or 4, and K3 to 0, 1/2 or 1.
This model is described in:
The kinetics of the enzymesubstrate compound of peroxidase.
Britton Chance, Journal of Biological Chemistry, 151, 553577, 1943. PDF at JBC
reprinted in: Adv Enzymol Relat Areas Mol Biol. 1999;73:323. PubmedID:10218104>
Abstract:
Under the narrow range of experimental conditions, and at a temperature of approximately 25 degrees, the following data were obtained. 1. The equilibrium constant of peroxidase and hydrogen peroxide has a minimum value of 2 x 10(8). 2. The velocity constant for the formation of peroxidaseH2O2 Complex I is 1.2 x 10(7) liter mole1 sec.1, +/ 0.4 x 10(7). 3. The velocity constant for the reversible breakdown of peroxidaseH2O2 Complex I is a negligible factor in the enzymesubstrate kinetics and is calculated to be less than 0.2 sec.1. 4. The velocity constant, k3, for the enzymatic breakdown of peroxidaseH2O2 Complex I varies from nearly zero to higher than 5 sec.1, depending upon the acceptor and its concentration. The quotient of k3 and the leucomalachite green concentration is 3.0 x 10(4) liter mole1 sec.1. For ascorbic acid this has a value of 1.8 x 10(5) liter mole1 sec.1. 5. For a particular acceptor concentration, k3 is determined solely from the enzymesubstrate kinetics and is found to be 4.2 sec.1. 6. For the same conditions, k3 is determined from a simple relationship derived from mathematical solutions of the Michaelis theory and is found to be 5.2 sec.1. 7. For the same conditions, k3 is determined from the overall enzyme action and is found to be 5.1 sec.1. 8. The Michaelis constant determined from kinetic data alone is found to be 0.44 x 10(6). 9. The Michaelis constant determined from steady state measurements is found to be 0.41 x 10(6). 10. The Michaelis constant determined from measurement of the overall enzyme reaction is found to be 0.50 x 10(6). 11. The kinetics of the enzymesubstrate compound closely agree with mathematical solutions of an extension of the Michaelis theory obtained for experimental values of concentrations and reaction velocity constants. 12. The adequacy of the criteria by which experiment and theory were correlated has been examined critically and the mathematical solutions have been found to be sensitive to variations in the experimental conditions. 13. The critical features of the enzymesubstrate kinetics are Pmax, and curve shape, rather than t1/2. t1/2 serves as a simple measure of dx/dt. 14. A second order combination of enzyme and substrate to form the enzymesubstrate compound, followed by a first order breakdown of the compound, describes the activity of peroxidase for a particular acceptor concentration. 15. The kinetic data indicate a bimolecular combination of acceptor and enzymesubstrate compound.
This model is the one described in the appendix of the article. It reproduces, amongst others, figure 12. The parameters and concentrations used are rescaled as stated in the article. K2 and K3 stand for k2 and k3, respectively, divided by k1.
