Mathematical Study of Dispersion of Nano Biosensors in an Artery with Multiple Stenosis

This research article deals with the usefulness of nanobiosensors to treat multiple stenosis in an artery. Nanobiosensors dispersed in blood are recognised as nanofluids, and their properties have been used to define the mathematical model. The problem is solved using the analytical method given by Sankarsubramanian and Gill to find the temperature and velocity of nanofluid and the transport coefficients of nanobiosensors. MATLAB was used plot the graphs and see the variation of different parameters like slip parameter, stenosis depth and nanolayer thickness. It was found that once the nanobiosensors were dispersed, the temperature escalated as the nanobiosensors hit the stenosis. If the stenosis depths are around 0.1x10(-3) m to 0.3x10(-3) m, in a diseased artery, then nano-biosensors with a layer thickness of about 30 nm shall be suitable for the temperature range of 310-320K. This mathematical model bears possible applications in target detection and drug delivery at stenosed sites.