Modeling the uptake of fluorescent molecules into 3D cellular spheroids
Three mathematical models were developed to analyze the dynamics of fluorescent dyes penetration into 3D cellular spheroids. Two fluorescent dyes were chosen to verify mathematical models: rhodamine 6G (R6G) as a small molecule, which can freely penetrate through the cells, and wheat germ agglutinin...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2019-09-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://www.journals.vu.lt/nonlinear-analysis/article/view/14516 |
| _version_ | 1811313025082195968 |
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| author | Rokas Astrauskas Feliksas Ivanauskas Greta Jarockytė Vitalijus Karabanovas Ričardas Rotomskis |
| author_facet | Rokas Astrauskas Feliksas Ivanauskas Greta Jarockytė Vitalijus Karabanovas Ričardas Rotomskis |
| author_sort | Rokas Astrauskas |
| collection | DOAJ |
| description | Three mathematical models were developed to analyze the dynamics of fluorescent dyes penetration into 3D cellular spheroids. Two fluorescent dyes were chosen to verify mathematical models: rhodamine 6G (R6G) as a small molecule, which can freely penetrate through the cells, and wheat germ agglutinin (WGA) conjugated with Alexa488 fluorescent label, which reacts with the cells plasma membrane, and its cellular penetration is significantly lower. Dye penetration and binding to cells were modeled with nonlinear diffusion–reaction equations. System of differential equations was solved using numerical methods, and good correspondence with physical experiment was shown. Diffusion coefficients in extracellular matrix were determined for both fluorescent dyes, and the influence of reactions parameters to WGA penetration was analyzed. Dynamics of dyes accumulation into cell spheroids were also determined. |
| first_indexed | 2024-04-13T10:46:59Z |
| format | Article |
| id | doaj.art-6b24c56e87724a989c6955be17dc3cc1 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-04-13T10:46:59Z |
| publishDate | 2019-09-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-6b24c56e87724a989c6955be17dc3cc12022-12-22T02:49:47ZengVilnius University PressNonlinear Analysis1392-51132335-89632019-09-0124510.15388/NA.2019.5.9Modeling the uptake of fluorescent molecules into 3D cellular spheroidsRokas Astrauskas0Feliksas Ivanauskas1Greta Jarockytė2Vitalijus Karabanovas3Ričardas Rotomskis4Vilnius UniversityVilnius UniversityNational Cancer InstituteNational Cancer Institute / Vilnius Gediminas Technical UniversityNational Cancer Institute / Vilnius UniversityThree mathematical models were developed to analyze the dynamics of fluorescent dyes penetration into 3D cellular spheroids. Two fluorescent dyes were chosen to verify mathematical models: rhodamine 6G (R6G) as a small molecule, which can freely penetrate through the cells, and wheat germ agglutinin (WGA) conjugated with Alexa488 fluorescent label, which reacts with the cells plasma membrane, and its cellular penetration is significantly lower. Dye penetration and binding to cells were modeled with nonlinear diffusion–reaction equations. System of differential equations was solved using numerical methods, and good correspondence with physical experiment was shown. Diffusion coefficients in extracellular matrix were determined for both fluorescent dyes, and the influence of reactions parameters to WGA penetration was analyzed. Dynamics of dyes accumulation into cell spheroids were also determined.http://www.journals.vu.lt/nonlinear-analysis/article/view/14516diffusion reaction equations,cellular spheroidsrhodamine 6Gwheat germ agglutininmathematical modeling |
| spellingShingle | Rokas Astrauskas Feliksas Ivanauskas Greta Jarockytė Vitalijus Karabanovas Ričardas Rotomskis Modeling the uptake of fluorescent molecules into 3D cellular spheroids Nonlinear Analysis diffusion reaction equations, cellular spheroids rhodamine 6G wheat germ agglutinin mathematical modeling |
| title | Modeling the uptake of fluorescent molecules into 3D cellular spheroids |
| title_full | Modeling the uptake of fluorescent molecules into 3D cellular spheroids |
| title_fullStr | Modeling the uptake of fluorescent molecules into 3D cellular spheroids |
| title_full_unstemmed | Modeling the uptake of fluorescent molecules into 3D cellular spheroids |
| title_short | Modeling the uptake of fluorescent molecules into 3D cellular spheroids |
| title_sort | modeling the uptake of fluorescent molecules into 3d cellular spheroids |
| topic | diffusion reaction equations, cellular spheroids rhodamine 6G wheat germ agglutinin mathematical modeling |
| url | http://www.journals.vu.lt/nonlinear-analysis/article/view/14516 |
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