Getting in shape and swimming: the role of cortical forces and membrane heterogeneity in eukaryotic cells

DOI10.1007/s00285-018-1223-0zbMath1410.35143arXiv1710.01618OpenAlexW3099523096WikidataQ52685636 ScholiaQ52685636MaRDI QIDQ667693

Juan-Miguel Gracia

Publication date: 1 March 2019

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.01618

zbMATH Keywords

boundary integral methodlow Reynolds number swimmingself-propulsionheterogeneous membranemembrane tension gradients

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Capillarity (surface tension) for incompressible inviscid fluids (76B45) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stokes and related (Oseen, etc.) flows (76D07) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Biomechanics (92C10) Optimization of shapes other than minimal surfaces (49Q10) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Variational principles of physics (49S05) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

Related Items

The influence of nucleus mechanics in modelling adhesion-independent cell migration in structured and confined environments ⋮ Multiscale phenomena and patterns in biological systems: special issue in honour of Hans Othmer ⋮ The effects of internal forces and membrane heterogeneity on three-dimensional cell shapes

Uses Software

• BEMLIB
• FELICITY
• GitHub

Cites Work

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