Quasi-steady-state approximation

From BioUML platform
Jump to: navigation, search

Description of the quasy-steady-state approximation method is done in the section "Quasi-Steady-State Analysis". Below we use the notation given there.

As an example consider the simplest enzyme reaction

Qssa formula 1.png

which involves an enzyme E binding to a substrate S to form a complex ES and its dissociation into a product P and the enzyme E.

Let us find the conditions under which the concentration of the complex ES is quasi-stationary in time t = 0. To do this, we consider the expressions

Qssa formula 2.png

which result in the following derivatives

Qssa formula 3.png

Next, we find the formulas for δtES and rES:

Qssa formula 4.png

Thus, the complex ES is in quasi-steady state at t = 0 only when δtES << 1, i.e.

Qssa formula 5.png

Personal tools
Namespaces

Variants
Actions
BioUML platform
Community
Modelling
Analysis & Workflows
Collaborative research
Development
Virtual biology
Wiki
Toolbox