Motility and morphodynamics of confined cells
We introduce a minimal hydrodynamic model of polarization, migration, and deformation of a biologicalcell confined between two parallel surfaces. In our model, the cell is driven out of equilibrium by an activecytsokeleton force that acts on the membrane. The cell cytoplasm, described as a viscous d...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/159357 |
| Acceso en línea: | https://hdl.handle.net/2445/159357 |
| Access Level: | acceso abierto |
| Palabra clave: | Cèl·lules Dinàmica molecular Dinàmica de fluids Cells Molecular dynamics Fluid dynamics |
| Sumario: | We introduce a minimal hydrodynamic model of polarization, migration, and deformation of a biologicalcell confined between two parallel surfaces. In our model, the cell is driven out of equilibrium by an activecytsokeleton force that acts on the membrane. The cell cytoplasm, described as a viscous droplet in the Darcyflow regime, contains a diffusive solute that actively transduces the applied cytoskeleton force. While fairlysimple and analytically tractable, this quasi-two-dimensional model predicts a range of compelling dynamicbehaviours. A linear stability analysis of the system reveals that solute activity first destabilizes a globalpolarization-translation mode, prompting cell motility through spontaneous symmetry breaking. At higheractivity, the system crosses a series of Hopf bifurcations leading to coupled oscillations of droplet shape andsolute concentration profiles. At the nonlinear level, we find traveling-wave solutions associated with uniquepolarized shapes that resemble experimental observations. Altogether, this model offers an analytical paradigmof active deformable systems in which viscous hydrodynamics are coupled to diffusive force transducers. |
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