D. POPESCU*,**, A.G. POPESCU***

*Department of Mathematical Modeling in Life Sciences, Institute of Mathematical Statistics and Applied Mathematics, Romanian Academy of Science, 13, 13 Septembrie Av., Sector 5, Bucharest-050911, Romania
** Department of Anatomy, Animal Physiology and Biophysics, Center of Neurobiology and Molecular Physiology, Faculty of Biology, University of Bucharest, 91–95, Splaiul Independenţei, Bucharest 050095, Romania
***Department of Computer Sciences, IT CORE SRL, 10, Garoafei st, sector 5, Bucharest-051235, Romania

Abstract. In this paper, we have obtained the parameters characterizing the first cycle of the periodical working of a pulsatory vesicle. Under certain conditions, if a unilamellar lipid vesicle filled with aqueous solution of an osmotic substance is introduced into a hypotonic aqueous medium, becomes a periodical dynamic system. Each cycle may be characterized by some dynamical parameters and usefull quantities resulting by solving analytically the differential equation describing the swelling stage of the cycle and a numerical solution of a system of three differential equations which models the periodic stage of the cycle.
Key words: Pulsatory liposome, dynamical parameters, useful parameters

Corresponding author’s e-mail: popescu1947@yahoo.com

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