Local mass transfer rates of a first-order chemical reaction on a wall: Application to the prediction of local platelet deposition in a perfusion chamber

In this study we derive an equation for the calculation of the local mass transfer rates generated by a first-order chemical reaction on a plane wall. The validity of the expression is discussed and analyzed. It can be used to determine the kinetic constant of the surface reaction, with the knowledge of the wall mass flux, or to predict the local mass transfer rate knowing the kinetic constant, using parallel-plate (bio-)microreactors. The application of the derived equation is illustrated in the prediction of the platelet deposition in a blood perfusion chamber. The computed local surface coverage by the platelets agrees well with the corresponding measurements found in the literature. Consequently, the equation can be used to determine the kinetic constant in perfusion experiments carried out with different drug strategies oriented to the prevention of myocardial infarction and stroke.