Multiple Surface Reactions in Arrays with Applications to Optical Biosensors

作者:Zumbrum Matthew E*; Edwards David A
来源:Bulletin of Mathematical Biology, 2014, 76(7): 1783-1808.
DOI:10.1007/s11538-014-9977-z

摘要

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 Damkohler 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.

  • 出版日期2014-7