Diana Radnef-Constantin1, Dumitru Popescu2, Agneta Mocanu3, Valentin I. Niculescu4
Abstract. This paper is a review for the analytical modelling of the biophysical engine represented by a liposome, filled with an osmotic solution, introduced into an aqueous medium. The processes leading to the appearance, evolution and disappearance of the liposome-pore are presented. Due to osmosis, the liposome grows to a maximum size that will lead to the appearance of a pore through which part of the internal solution ows. The liposome then shrinks and returns to its original size. This is the rst cycle of the evolution of the pulsating liposome, after which a new cycle begins. Starting from certain values of the parameters and working in the analytical approach, we obtain the functions of the model as explicit solutions of the constitutive equations. These functions are liposome radius, pore radius and solute concentration. An analysis of the processes described by these functions is performed.
Keywords: pulsatory liposome, biophysical engine, osmotic solution, phospholipid molecule, analytical methods
DOI 10.56082/annalsarsciphyschem.2025.1.36
1 Astronomical Institute of the Romanian Academy, Cutitul de Argint street, nr. 5, 040557 Bucharest, Romania; email ghe12constantin@yahoo.com ,
2 Institute of Mathematical Statistics and Applied Mathematics, Gheorghe Mihoc-Caius Iacob, Department of Mathematical Modelling in Life Sciences, Calea 13 Septembrie street, nr. 13, Bucharest 5, Romania;
3 Hyperion University of Bucharest, Romania;
4 National Institute for Lasers, Plasma and Radiation Physics, Atomistilor 409, Magurele, Ilfov, Romania
PUBLISHED in Annals of the Academy of Romanian Scientists Series on Physics and Chemistry, Volume 10, No1