On Gaussian curvature and membrane fission
Abstract We propose a three-dimensional mathematical model to describe dynamical processes of membrane fission. The model is based on a phase field equation that includes the Gaussian curvature contribution to the bending energy. With the addition of the Gaussian curvature energy term numerical simu...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2021-05-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-021-88851-y |
| _version_ | 1818717134499348480 |
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| author | Mara Denisse Rueda-Contreras Andreu F. Gallen J. Roberto Romero-Arias Aurora Hernandez-Machado Rafael A. Barrio |
| author_facet | Mara Denisse Rueda-Contreras Andreu F. Gallen J. Roberto Romero-Arias Aurora Hernandez-Machado Rafael A. Barrio |
| author_sort | Mara Denisse Rueda-Contreras |
| collection | DOAJ |
| description | Abstract We propose a three-dimensional mathematical model to describe dynamical processes of membrane fission. The model is based on a phase field equation that includes the Gaussian curvature contribution to the bending energy. With the addition of the Gaussian curvature energy term numerical simulations agree with the predictions that tubular shapes can break down into multiple vesicles. A dispersion relation obtained with linear analysis predicts the wavelength of the instability and the number of formed vesicles. Finally, a membrane shape diagram is obtained for the different Gaussian and bending modulus, showing different shape regimes. |
| first_indexed | 2024-12-17T19:30:19Z |
| format | Article |
| id | doaj.art-665ea74d63af442ebbe6c3d1c2699e91 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-12-17T19:30:19Z |
| publishDate | 2021-05-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-665ea74d63af442ebbe6c3d1c2699e912022-12-21T21:35:16ZengNature PortfolioScientific Reports2045-23222021-05-0111111010.1038/s41598-021-88851-yOn Gaussian curvature and membrane fissionMara Denisse Rueda-Contreras0Andreu F. Gallen1J. Roberto Romero-Arias2Aurora Hernandez-Machado3Rafael A. Barrio4Instituto de Física, U.N.A.M.Departament Física de la Matèria Condensada, Universitat de BarcelonaInstituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de MéxicoDepartament Física de la Matèria Condensada, Universitat de BarcelonaInstituto de Física, U.N.A.M.Abstract We propose a three-dimensional mathematical model to describe dynamical processes of membrane fission. The model is based on a phase field equation that includes the Gaussian curvature contribution to the bending energy. With the addition of the Gaussian curvature energy term numerical simulations agree with the predictions that tubular shapes can break down into multiple vesicles. A dispersion relation obtained with linear analysis predicts the wavelength of the instability and the number of formed vesicles. Finally, a membrane shape diagram is obtained for the different Gaussian and bending modulus, showing different shape regimes.https://doi.org/10.1038/s41598-021-88851-y |
| spellingShingle | Mara Denisse Rueda-Contreras Andreu F. Gallen J. Roberto Romero-Arias Aurora Hernandez-Machado Rafael A. Barrio On Gaussian curvature and membrane fission Scientific Reports |
| title | On Gaussian curvature and membrane fission |
| title_full | On Gaussian curvature and membrane fission |
| title_fullStr | On Gaussian curvature and membrane fission |
| title_full_unstemmed | On Gaussian curvature and membrane fission |
| title_short | On Gaussian curvature and membrane fission |
| title_sort | on gaussian curvature and membrane fission |
| url | https://doi.org/10.1038/s41598-021-88851-y |
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