question about binding reaction in surface of Microcantilever

  As shown in the figure of Microcantilever biosensor,antigen solution flow into the cell, the banding reaction take place between the antigen and antibody. Wu research on the diffusion of molecules for long detection time (Wu, Datar et al. 2001), Berger elucidated the kinetics of stress curve for self-assembly as a simple adsorption isotherm.(Berger, Delamarche et al. 1998). 

How to calculate diffusion and in the cell? when the solution of cell was replace with antigen.

How to know the reaction time between the antigen-antibody complexes on the solid surface. 

Which formula should be using in the the system to explain the mechanics of bending for static process. Can you give me some suggestions?

 Berger, R., E. Delamarche, et al. (1998). "Surface stress in the self-assembly of alkanethiols on gold probed by a force microscopy technique." Applied Physics a-Materials Science & Processing 66: S55-S59.

Wu, G. H., R. H. Datar, et al. (2001). "Bioassay of prostate-specific antigen (PSA) using microcantilevers." Nature Biotechnology 19(9): 856-860.