There are different types of product inhibition depending on the mechanism by which the product inhibits further production. Here, we look at a type of product inhibition where the product P binds to the enzyme-substrate complex and forms the inactive product-enzyme-substrate complex P:E:S. We assume in this task that only the enzyme-substrate complex E:S can produce more product P. The following reaction scheme describes this system: kon 2 koff E:S Keat E+P P:E:S E+S P + E:S kass kdis E:S Below, we want to derive a reduced ODE for the concentration of product P. We will assume that the dynamics of the complexes E:S and P:E:S are fast and can therefore be approximated by their quasi-steady state concentrations.