Some Examples of Non Linear Regression Problems

Abstract

The following problem has been treated by Robinson (1980). Consider the uptake of B-methyl-glucoside in a small piece of the intestine of the guinea-pig. It is believed that the uptake is due to an active membrane transport which is governed by an enzyme like reaction of the form $\text{V} = \frac{{\text{V}_{\max } \text{C}}}{{\text{K}_\text{m} + \text{C}}} + \text{K}_\text{D} \text{C}$ where C is the concentration of B-methyl-glucoside, and V the uptake. The constant V_max represent the maximal rate of uptake, K_m an affinity constant and K_D a diffusion constant.