"Pharmacokinetics is the study of the kinetics of absorption, distribution, metabolism and excretion of drugs and their pharmacological, therapeutic or toxic response in animals and man". In brief, pharmacokinetics is concerned with quantitatively accounting for the whereabouts of a drug after it has been introduced in the body. The analysis is carried out throughout the entire time course for the drug in the body. The aim of this work is to introduce new mathematical methods of solving biological problems that will help in promoting the new technologies in medical and healthcare areas and also propose new possibilities in nanobiotechnologies.