title: Multiple surface reactions in arrays with applications to optical biosensors.
abstract: We analyze surface-volume reactions in the context of optical biosensors with arrays of reacting zones. For arrays having zones with the same rate constants, we consider a two-dimensional reacting zone boundary definition and quantify ligand depletion with the effective Damköhler number. We use asymptotics to obtain ligand depletion results for the one-dimensional case, and also compute results for the circular reacting zone case. For arrays having zones with different rate constants, depletion effects cannot be expressed as the product of time-dependent and space-dependent terms, and we propose two effective rate constant equations for this case.
authors.affiliation: Department of Mathematics, Temple University, Philadelphia, PA , 19122, USA, zumbrum@temple.edu.
authors.forename: Matthew E
authors.initials: ME
authors.lastname: Zumbrum
authors.forename: David A
authors.initials: DA
authors.lastname: Edwards
mesh_terms: D015374:Biosensing Techniques / Q000379:methods*; D007700:Kinetics; D008024:Ligands; D008962:Models, Theoretical
chemical_list: D008024:Ligands