Abstract
A kinetic model of interaction between nanomicroparticle (NMP) and an erythrocyte (RC) was developed considering an elastic type collision, taking into account that the main dispersion center in the delivery of drugs through the bloodstream are the RC. For the analysis of the model, three cases were considered where the position and speed of the MPN were varied. In case 1, the initial position of the MPN was varied with respect to the x axis; In case 2, there was a variation of the position with respect to the y axis, and finally, the speed with respect to the x axis was varied. This study allowed calculating the angle of dispersion (α) based on the impact parameter (s) with respect to the axis of symmetry of the RC. It was verified that in frontal collisions with s values close to the center of the axis of symmetry, the NMP presents the same incident trajectory, with a null angle of dispersion. In an oblique collision, the dispersion is greater and dependent on the initial position and the speed in its Cartesian components, thus a dependency with respect to the initial position is identified, as well as the direction of movement given by the speed components, which it is reflected in the variation of the angle of dispersion.
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