AN ANALYTICAL APPROACH FOR THE PULSATORY LIPOSOME IN THE PORE RADIUS HYPOTHESIS.

RADNEF-CONSTANTIN, DIANA R.; POPESCU, DUMITRU; MOCANU, AGNETA A.

One considers a unilamellar liposome filled with an aqueous solution of an osmotic solute. This liposome is introduced into an aqueous medium. Due to the osmosis process, the lipid vesicle swells up to a maximum size, when a transbi-layer pore suddenly appears. Part of the internal solution leaks through this pore. The liposome deflates and returns to its initial size. The swelling begins again and the liposome begins a cyclical evolution. All the processes which contribute to the liposome relaxing and its coming back to the initial size are described by three differential equations. This system of differential equations used to model the liposome can be integrated using numerical methods. At the same time, in order to describe the behavior of the model functions, we propose an analytical method in which the variable is the radius of the pore. Thus, working under this hypothesis of the radius of the pore, we propose an analytical solution for this system of differential equations and give the analytical expressions of the model functions and their graphs.

LIPOSOMES; DIFFERENTIAL equations; ANALYTICAL solutions; AQUEOUS solutions; LIPIDS

Romanian Journal of Pure & Applied Mathematics / Revue Roumaine de Mathematiques Pures et Appliquees, 2024, Vol 69, Issue 3/4, p531

0035-3965

Academic Journal

10.59277/RRMPA.2024.531.538