The second lecture on lamellipods presents a review of the various physical models proposed to describe motility and in particular the shape of moving cells.
References
Gaudenz Danuser, Jun Allard and Alex Mogilner, "Mathematical Modeling of Eukaryotic Cell Migratio: Insights Beyond Experiments", Annu. Rev. Cell Dev. Biol. 29:501-28 (2013).
Margaret L. Gardel, Ian C. Schneider, Yvonne Aratyn-Schaus, and Clare M. Waterman, "Mechanical Integration of Actin and Adhesion Dynamics in Cell Migration," Annu. Rev. Cell Dev. Biol. 26:315-33 (2010).
Antonina Y. Alexandrova, Katya Arnold, Sébastien Schaub, Jury M. Vasiliev, Jean-Jacques Meister, Alexander D. Bershadsky, Alexander B. Verkhovsky, "Comparative Dynamics of Retrograde Actin Flow and Focal Adhesions: Formation of Nascent Adhesions triggers Transition from Fast to Slow Flow", PLoS ONE, 3, e3234 (2008).
Dylan T. Burnette, Suliana Manley, Prabuddha Sengupta, Rachid Sougrat, Michael W. Davidson, Bechara Kachar and Jennifer Lippincott-Schwartz, "A role for actin arcs in the leading-edge advance of migrating cells", Nature Cell Biology, 13, 371 (2011).
Pascal Vallotton, Gaudenz Danuser, Sophie Bohnet, Jean-Jacques Meister, and Alexander B. Verkhovsky, "Tracking Retrograde Flow in Keratocytes: News from the Front", Molecular Biology of the Cell, 16, 1223-1231 (2005).
Tim Oliver, Micah Dembo, and Ken Jacobson, "Separation of Propulsive and Adhesive Traction Stresses in Locomoting Keratocytes", The Journal of Cell Biology, 145, Number 3, 589-604 (1999).
K. Kruse, J.-F. Joanny, F. Jülicher and J. Prost, "Contractility and retrograde flow in lamellipodium motion", Phys. Biol. 3, 130-137 (2006).
Mathieu Dedenon and Pierre Sens, "Model of lamellipodium initiation during cell spreading" to be published.
K. Tawada, K. Sekimoto, "Protein friction exerted by motor enzymes through a weak-binding interaction", Journal of Theoretical Biology, 150, 193-200 (1991).
P. Sens, "Stick-slip model for actin-driven cell protrusions, cell polarization, and crawling", Proceedings of the National Academy of Sciences, 117, 24670-24678 (2020).
Kinneret Keren, Zachary Pincus, Greg M. Allen , Erin L. Barnhart, Gerard Marriott, Alex Mogilner & Julie A. Theriot, "Mechanism of shape determination in motile cells", Nature, 453, 475 (2008).
I. Lelidis and J.-F. Joanny, "Interaction of focal adhesions mediated by the substrate elasticity", Soft Matter, 9, 11120-11128 (2013).
Deshpande, Vikram, et al. "Chemo-mechanical model of a cell as a stochastic active gel," Journal of the Mechanics and Physics of Solids, 151, 104381(2021).
Danying Shao, Wouter-Jan Rappel, and Herbert Levine, "Computational Model for Cell Morphodynamics," PRL, 105, 108104 (2010).
A. Aranson, "Physical Models of Cell Motility", Springer (2016).
J. Collins and H.Levine, "Diffuse interface model of diffusion-limited crystal growth", Phys.Rev.B, 31, 6119 (1985).
John S. Lowengrub, Andreas Rätz, and Axel Voigt, "Phase-field modeling of the dynamics of multicomponent vesicles: Spinodal decomposition, coarsening, budding, and fission", Phys Rev E Stat Nonlin Soft Matter Phys., 79, 031926 (2009).
