Statistical analysis on the stratification effects of bioconvective EMHD nanofluid flow past a stretching sheet: Application in theranostics

Carbon nanotubes (CNTs) are highly recognized for their diverse biomedical applications. The present study aims to numerically and statistically study the stratification effects of bioconvective electromagnetohydrodynamic flow past a stretching sheet using water-based CNT. The current study, with applications ranging from biomedical imaging, targeted drug delivery, and cancer therapy, provides a theoretical perspective that is beneficial in biomedical engineering. The mathematically modeled system of partial differential equations is then transmuted into a system of ordinary differential equations using apposite transformations, which are then resolved numerically using bvp5c (MATLAB built-in function) algorithm. The impacts of influential parameters on concentration, velocity, microbial concentration, temperature, and physical quantities are illustrated with the aid of graphs and tables. Descending electric field parameter and ascending magnetic field parameter retard the velocity profile, which helps in improving the efficiency of targeted drug delivery and biomedical imaging. Further, statistical techniques, like, correlation, the slope of linear regression, probable error, and multiple linear regression, are employed in scrutinizing the consequence of influential parameters on physical quantities and an excellent agreement is observed between the numerical and statistical results. It is noted that the heat transfer rate is positively correlated with electric and magnetic field parameters.