Microfluidics based DNA hybridization: mathematical modeling issues and future challenges

Abstract

In this paper, various mathematical modeling strategies associated with the analysis of the kinetics and the transport processes pertinent to microfluidics-based DNA hybridization methodologies are critically reviewed. In particular, the coupling of specific/non- specific hybridization kinetics with the fluid flow, heat transfer and mass transfer equations is described in detail. Methodologies for obtaining faster DNA hybridization rates are also discussed and the corresponding mathematical modeling issues are identified to define the scope of ongoing and future research endeavours.