Three-dimensional simulation of obstacle-mediated chemotaxis
Amoeboid cells exhibit a highly dynamic motion that can be directed by external chemical signals, through the process of chemotaxis. Here, we propose a three-dimensional model for chemotactic motion of amoeboid cells. We account for the interactions between the extracellular substances, the membrane-bound proteins, and the cytosolic components involved in the signaling pathway that originates cell motility. We show two- and three-dimensional simulations of cell migration on planar substrates, flat surfaces with obstacles, and fibrous networks. The results show that our model reproduces the main features of chemotactic amoeboid motion. Our simulations unveil a complicated interplay between the geometry of the cell’s environment and the chemoattractant dynamics that tightly regulates cell motion. The model opens new opportunities to simulate the interactions between extra- and intra-cellular compounds mediated by the matrix geometry.
KeywordsAmoeboid motion Chemotaxis Phase-field modeling 3D cell migration
A.M. and H.G. were partially supported by the European Research Council (Contract # 307201) and by Consellería de Cultura, Educación e Ordenación Universitaria (Xunta de Galicia). A.M. was partially supported by the UDC-Inditex Ph.D. student grant program.
Compliance with ethical standards
Conflict of interest
The authors declare that they have no conflict of interest.
- Biben T, Kassner K, Misbah C (2005) Phase-field approach to three-dimensional vesicle dynamics. Phys Rev E 72(041):921Google Scholar
- Camley BA, Zhao Y, Li B, Levine H, Rappel WJ (2013) Periodic migration in a physical model of cells on micropatterns. Phys Rev Lett 111(158):102Google Scholar
- Chen BC, Legant WR, Wang K, Shao L, Milkie DE, Davidson MW, Janetopoulos C, Wu XS, Hammer JA III, Liu Z, English BP, Mimori-Kiyosue Y, Romero DP, Ritter AT, Lippincott-Schwartz J, Fritz-Laylin L, Dyche Mullins R, Mitchell DM, Bembenek JN, Reymann AC, Böhme R, Grill SW, Wang JT, Seydoux G, Serdar Tulu U, Kiehart DP, Betzig E (2014) Lattice light-sheet microscopy: imaging molecules to embryos at high spatiotemporal resolution. Science 346(1257):998Google Scholar
- Gomez H, van der Zee K (2017) Computational phase-field modeling. Encyclopedia of Computational Mechanics, accepted for publicationGoogle Scholar
- Meinhardt H (1999) Orientation of chemotactic cells and growth cones: models and mechanisms. J Cell Sci 112:2867–2874Google Scholar
- Neilson MP, Veltman DM, van Haastert PJM, Webb SD, Mackenzie JA, Insall RH (2011) Chemotaxis: a feedback-based computational model robustly predicts multiple aspects of real cell behaviour. PLoS Biol 9(e1000):618Google Scholar
- Sunyer R, Conte V, Escribano J, Elosegui-Artola A, Labernadie A, Valon L, Navajas D, García-Aznar JM, Muñoz JJ, Roca-Cusachs P et al (2016) Collective cell durotaxis emerges from long-range intercellular force transmission. Science 353(6304):1157–1161. https://doi.org/10.1126/science.aaf7119 CrossRefGoogle Scholar
- Van Haastert PJM (2010) A stochastic model for chemotaxis based on the ordered extension of pseudopods. Biophys J 99:3345–3354Google Scholar