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The transport phenomena in the human organism mean the variation in time and space of generalized forces when they generate flows for which conservation laws apply. The more specific transport mechanisms are following: ion pump, transporting molecules, ionic channels and active transport through vesicles. The process of cytopempsis, or the process of transport via the vesicles, is also a vesicular process, initiated in the membrane area. The vesicle in this case constitutes a means of transport of the substances through cell, the contents of the vesicle as a whole being transported through the cytoplasm, and then released. Endocytosis consists of the transport of substances from the extracellular environment to the interior of the cell with the help of a vesicle formed by the cell membrane. Exocytosis is the process by which the fusion of some vesicles of the cytoplasm with the cell membrane is produced being followed by the expulsion of the vesicle content outside the cell. The pattern of the pinocytosis considers its static character, that is the probability to form vesicles. This mathematical model, is applicable from all active transport through vesicles.