Surface reaction near a stagnation point

To measure rate constants while performing biomolecular interaction analysi s (BIA), scientists often use resonant mirror devices such as the IAsys(TM) A full mathematical model of the IAsys(TM) consists Of a convection-diffus ion equation in a closed well with a reacting surface at the bottom. The fl ow in the well is complex, but near the sensor, the qualitative nature of t he reaction can be analyzed by reducing to stagnation point flow. The conce ntration of the reacting species in several cases is analyzed using singula r perturbation techniques. Linear and nonlinear integral equations result f rom the analysis; explicit and series solutions are constructed for physica lly realizable cases. These solutions, which include the effects of transpo rt on the reaction, provide improved estimates for the rate constants from raw IAsys(TM) binding data.