title: Modeling transportation of efavirenz: inference on possibility of mixed modes of transportation and kinetic solubility.
abstract: Understanding drug transportation mechanisms in the human body is of paramount importance in modeling Pharmacokinetic-Pharmacodynamic relationships. This work gives a novel general model of efavirenz transportation projections based on concentrations simulated from patients on a dose of 600 mg. The work puts forward a proposition that transportation can wholly be modeled by concentration and time in a uniform volumetric space. Furthermore, movement entities are used to inform the state of "kinetic solubility" of a solution. There is use of Ricker's model, and forms of the Hill's equation in modeling transportation. Characterization on the movement rates of solution particle are suggested in relation to advection rate of solution particle. At turning points on the transportation rate of solution particle vs. concentration curve, a suggestion of possibly change of dominance in the mode of transportation and saturation is made. There are four movement rates postulated at primary micro-level transportation, that are attributed to convection, diffusion [passive transportation (EI )] and energy dependent system transportation (ED ) in relation to advection. Furthermore, a new parameter is introduced which is defined as an advection rate constant of solution particle. It is postulated to be dependent on two rate constants of solution particle, that is a convection rate constant of solution particle and a saturable transportation rate constant of solution particle. At secondary micro-level transportation, the results show convection as sum of advection and saturable transportation. The kinetics of dissolution of efavirenz in the solution space is postulated. Relatively, a good level of kinetics of dissolution is projected in the concentration region 0 - 32.82 μg/ml.
authors.affiliation: Department of Clinical Pharmacology, University of Zimbabwe Harare, Zimbabwe ; Department of Applied Mathematics, National University of Science and Technology Bulawayo, Zimbabwe.
authors.forename: Tafireyi
authors.initials: T
authors.lastname: Nemaura
keywords: advection rate; advection rate constant; convection rate; efavirenz; kinetic solubility; models; passive transportation and energy dependent transportation rate