Mathematical Description of the Functioning of the Pulsatory Liposome

We consider a liposome filled with the aqueous solution of an osmotic solute enclosed in a large water bath. Due to osmotic pressure, it works according to a sequence of cycles with two stages. In the first stage, the lipid vesicle with a certain input concentration of the osmotic substance is swell...

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Bibliographic Details
Published inINCAS bulletin Vol. 15; no. 1; pp. 71 - 80
Main Authors POPESCU, Dumitru, IGA, Dumitru Petru, POPESCU, Alin Gabriel, NICULESCU, Valentin I. R.
Format Journal Article
LanguageEnglish
Published Bucharest INCAS - National Institute for Aerospace Research "Elie Carafoli" 07.03.2023
National Institute for Aerospace Research “Elie Carafoli” - INCAS
Subjects
Aqueous solutions
biotechnological applications
Differential equations
lipid bilayer
Lipids
Liposomes
mathematical description
Osmosis
pulsatory liposome
Swelling
transmembrane pore
Water baths
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Summary:We consider a liposome filled with the aqueous solution of an osmotic solute enclosed in a large water bath. Due to osmotic pressure, it works according to a sequence of cycles with two stages. In the first stage, the lipid vesicle with a certain input concentration of the osmotic substance is swelling up in an osmotic process until it reaches a size, when one pore is formed on its surface. The second stage follows, where the vesicle content is partially eliminated through the pore to induce a decrease in the vesicle volume up to its original size. If we take into account that the pore has two stages in its evolution, then the relaxing stage may be divided into two new stages. The swelling of the liposome is described by a differential equation. All the processes which contribute to the vesicle relaxing and its return to the initial size are described by three differential equations.
ISSN:2066-8201
2247-4528
DOI:10.13111/2066-8201.2023.15.1.7