LAUSR

In many diagnostic assays, specific biomarker extraction and purification from a patient sample is performed in microcentrifuge tubes using surface-functionalized magnetic beads. Although assay binding times are known to be highly dependent on sample viscosity, sample volume, capture reagent, and fluid mixing, the theoretical mass transport framework that has been developed and validated in engineering has yet to be applied in this context. In this work, we adapt this existing framework for simultaneous mass transfer and surface reaction and apply it to the binding of biomarkers in clinical samples to surface-functionalized magnetic beads. We discuss the fundamental fluid dynamics of vortex mixing within microcentrifuge tubes as well as describe how particles and biomolecules interact with the fluid. The model is solved over a wide range of parameters, and we present scenarios when a simplified analytical expression would be most accurate. Next, we review of some relevant techniques for model parameter estimation. Finally, we apply the mass transfer theory to practical use-case scenarios of immediate use to clinicians and assay developers. Throughout, we highlight where further characterization is necessary to bridge the gap between theory and practical application.