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Nowadays, cancer is one of the most important morbidity and mortality factors in the world. For these reasons, efforts have been made to optimize the treatments that are used by specialists in the oncology area. One of the main difficulties is the lack of mathematical and statistical models that allow to characterize the performance of the treatments; one of these innovative treatment trends consists of the use of magnetic nanoparticles which are incorporated into the bloodstream either in order to diagnose or transport medications to the affected areas. This paper presents the process of estimating local minimums for a particular case of a function in R3 –defined by parameters r and t– which allows modeling the kinetics of nanoparticles.

Kinetics of nanoparticles in sanguinean torrent by approximation, Womersley flow