Remeshing flexible membranes under the control of free energy.
Cell membranes are flexible and often undergo large-scale morphological changes during processes like mitosis, protrusion and retraction, or vesicle fusion. Mathematical modeling of cell membranes depends on a representation of the free-form surface by discrete meshes. During morphological changes,...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Public Library of Science (PLoS)
2022-12-01
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| Series: | PLoS Computational Biology |
| Online Access: | https://doi.org/10.1371/journal.pcbi.1010766 |
| _version_ | 1811154353700995072 |
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| author | Xinxin Wang Gaudenz Danuser |
| author_facet | Xinxin Wang Gaudenz Danuser |
| author_sort | Xinxin Wang |
| collection | DOAJ |
| description | Cell membranes are flexible and often undergo large-scale morphological changes during processes like mitosis, protrusion and retraction, or vesicle fusion. Mathematical modeling of cell membranes depends on a representation of the free-form surface by discrete meshes. During morphological changes, these meshes must be adjusted under the minimization of the total free energy. Current methodology for meshing is limited in one of two ways: 1) Free energy-dependent methods have no restriction on the mesh geometry. The resulting irregular meshes cause artifacts in follow-up models of morphodynamics. 2) Geometry-dependent methods maintain mesh quality but violate the physics of free energy minimization. To fill this gap, we regulate mesh geometries via a free-energy-determined remeshing process: adding and removing mesh elements upon morphological changes based on barrier crossings in a double-barrier potential between neighboring vertices in the meshes. We test the method's robustness by reproducing the morphodynamics of red blood cells and vesicle fusions; and we demonstrate the method's adaptability by simulating the formation of filopodia, lamellipodia and invaginations. Finally, we use the method to study a mechanical decoupling effect of two connected membrane tethers that has been recently observed experimentally, but has not been mechanistically explained in the context of a complete membrane surface. We propose a biophysical model that strengthens the decoupling effect and broadens the original interpretation of the experiment. The method is developed in C/Matlab and distributed via https://github.com/DanuserLab/biophysicsModels. |
| first_indexed | 2024-04-10T04:14:13Z |
| format | Article |
| id | doaj.art-cfa5f0c053fa46a898598899df41e716 |
| institution | Directory Open Access Journal |
| issn | 1553-734X 1553-7358 |
| language | English |
| last_indexed | 2024-04-10T04:14:13Z |
| publishDate | 2022-12-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS Computational Biology |
| spelling | doaj.art-cfa5f0c053fa46a898598899df41e7162023-03-12T05:31:35ZengPublic Library of Science (PLoS)PLoS Computational Biology1553-734X1553-73582022-12-011812e101076610.1371/journal.pcbi.1010766Remeshing flexible membranes under the control of free energy.Xinxin WangGaudenz DanuserCell membranes are flexible and often undergo large-scale morphological changes during processes like mitosis, protrusion and retraction, or vesicle fusion. Mathematical modeling of cell membranes depends on a representation of the free-form surface by discrete meshes. During morphological changes, these meshes must be adjusted under the minimization of the total free energy. Current methodology for meshing is limited in one of two ways: 1) Free energy-dependent methods have no restriction on the mesh geometry. The resulting irregular meshes cause artifacts in follow-up models of morphodynamics. 2) Geometry-dependent methods maintain mesh quality but violate the physics of free energy minimization. To fill this gap, we regulate mesh geometries via a free-energy-determined remeshing process: adding and removing mesh elements upon morphological changes based on barrier crossings in a double-barrier potential between neighboring vertices in the meshes. We test the method's robustness by reproducing the morphodynamics of red blood cells and vesicle fusions; and we demonstrate the method's adaptability by simulating the formation of filopodia, lamellipodia and invaginations. Finally, we use the method to study a mechanical decoupling effect of two connected membrane tethers that has been recently observed experimentally, but has not been mechanistically explained in the context of a complete membrane surface. We propose a biophysical model that strengthens the decoupling effect and broadens the original interpretation of the experiment. The method is developed in C/Matlab and distributed via https://github.com/DanuserLab/biophysicsModels.https://doi.org/10.1371/journal.pcbi.1010766 |
| spellingShingle | Xinxin Wang Gaudenz Danuser Remeshing flexible membranes under the control of free energy. PLoS Computational Biology |
| title | Remeshing flexible membranes under the control of free energy. |
| title_full | Remeshing flexible membranes under the control of free energy. |
| title_fullStr | Remeshing flexible membranes under the control of free energy. |
| title_full_unstemmed | Remeshing flexible membranes under the control of free energy. |
| title_short | Remeshing flexible membranes under the control of free energy. |
| title_sort | remeshing flexible membranes under the control of free energy |
| url | https://doi.org/10.1371/journal.pcbi.1010766 |
| work_keys_str_mv | AT xinxinwang remeshingflexiblemembranesunderthecontroloffreeenergy AT gaudenzdanuser remeshingflexiblemembranesunderthecontroloffreeenergy |