Continuum Models of Collective Cell Migration
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Collective cell migration plays a central role in tissue development, morphogenesis, wound repair and cancer progression. With the growing realization that physical forces mediate cell motility in development and physiology, a key biological question is how cells integrate molecular activities for force generation on multicellular scales. In this review we discuss recent advances in modeling collective cell migration using quantitative tools and approaches rooted in soft matter physics. We focus on theoretical models of cell aggregates as continuous active media, where the feedback between mechanical forces and regulatory biochemistry gives rise to rich collective dynamical behavior. This class of models provides a powerful predictive framework for the physiological dynamics that underlies many developmental processes, where cells need to collectively migrate like a viscous fluid to reach a target region, and then stiffen to support mechanical stresses and maintain tissue cohesion.
KeywordsContinuum modelling Cell migration Cell mechanics Tissue mechanics Active matter
SB acknowledges support from a Strategic Fellowship at the Institute for the Physics of Living Systems at UCL, UCL Global Engagement Fund, Royal Society Tata University Research Fellowship (URF\R1\180187), and Human Frontiers Science Program (HFSP RGY0073/2018). MCM was supported by the National Science Foundation at Syracuse University through award DMR-1609208 and at KITP under Grant PHY-1748958, and by the Simons Foundation through a Targeted Grant Award No. 342354. MCM thanks M. Czajkowski for useful discussions and the KITP for hospitality during completion of some of this work.
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