2021-03-262015-01-010277786X1996756XWOS;000359469900004SCOPUS;2-s2.0-84948743223http://hdl.handle.net/10784/27413Solution procedures were proposed to analyze nonlinear mass transport through an optical biosensor. A generalized collocation technique was applied to predict the dynamic behavior of an analyte along the flow chamber as a result of convection, diffusion and chemical reaction. The method estimated the effective time constants for reaching average steady-state concentrations of the free and bound analytes in the cell. When diffusion in the direction of flow was neglected, a closed-form solution, based on double Laplace transforms, was obtained after linearizing the original system. In both models, an increase in the sample diffusion coefficient lowered the effective time constant. This approach may help researchers evaluate the performance of biosensors and meet specific design criteria. © 2015 SPIE.enghttps://v2.sherpa.ac.uk/id/publication/issn/0277-786Xinfo:eu-repo/semantics/conferencePaperBiosensorsChemical analysisDiffusionDynamic analysisPhysiologySurface plasmon resonanceClosed form solutionsCollocationCollocation techniquesDouble Laplace transformEffective time constantsOptical bio-sensorsSteady state concentrationSurface plasmon resonance biosensorLaplace transforms2021-03-26Simon, LaurentOspina, Juan10.1117/12.2177807