Briggs-Haldane approach

from the mechanism described by Eqs. (2.5) Eq. (2.6), the rates of product formation and of substrate consumption are 

Assume that the change of CES with time, dCES/dt, is negligible compared to that of CP or Cs. 

Substitution of Eq. (2.16) into Eq. (2.15) confirms that the rate of product formation and that of the substrate consumption are the same, that is, 

if we assume that the total enzyme contents are conserved, 

When glucose is converted to fructose by glucose isomerase, the slow product formation step is also reversible as  

---

Briggs- Haldane Approach In this approach, the concentration of the intermediate is assumed to attain a steady-state value shortly after the start of a reaction (steady state approximation) that is, the change of with time becomes nearly zero [3]. 

Briggs-Haldane approach (Briggs and Haldane, 1925) The change of the intermediate concentration with respect to time is assumed to be negligible, that is, d(CES)/dt = 0. This is also known as the pseudo-steady-state (or quasi-steady-state I assumption in chemical kinetics and is often used in developing rate expressions in homogeneous catalytic reactions. 

For the Briggs-Haldane approach, the rate expression for substrate can be expressed by the first reversible reaction as explained in the next section. 

Derive the rate equation by employing (a) the Michaelis-Menten and (b) the Briggs-Haldane approach. Explain when the rate equation derived by the Briggs-Haldane approach can be simplified to that derived by the Michaelis-Menten approach. 

To derive a rate equation, let s follow the Briggs-Haldane approach as explained in Chapter 2, which assumes that the change of the... 

In addition to the preceding assumptions, there are three different approaches to derive the rate equation Michaelis-Menten approach [10], Briggs-Haldane approach [11], and numerical solution. 

---