Abstract
Cell migration is the physical movement of cells and is responsible for the extensive cellular invasion and metastasis that occur in high-grade tumors. Motivated by decades of direct observation of cell migration via light microscopy, theoretical models have emerged to capture various aspects of the fundamental physical phenomena underlying cell migration. Yet, the motility mechanisms actually used by tumor cells during invasion are still poorly understood, as is the role of cellular interactions with the extracellular environment. In this chapter, we review key physical principles of cytoskeletal self-assembly and force generation, membrane tension, biological adhesion, hydrostatic and osmotic pressures, and their integration in mathematical models of cell migration. With the goal of modeling-driven cancer therapy, we provide examples to guide oncologists and physical scientists in developing next-generation models to predict disease progression and treatment.
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Abbreviations
- ATP:
-
Adenosine triphosphate
- CMS:
-
Cell migration simulator
- ECM:
-
Extracellular matrix
- FEM:
-
Finite element modeling
- GBM:
-
Glioblastoma (grade IV glioma)
- ODE:
-
Ordinary differential equations
- PDE:
-
Partial differential equations
- RGD:
-
Arginine-glycine-aspartic acid tripeptide
- SDE:
-
Stochastic differential equations
- SSA:
-
Stochastic simulation algorithm
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Acknowledgments
The authors thank Ghaidan Shamsan and Brian Castle for their input in creating the figures and organizing the chapter. Louis S. Prahl acknowledges funding from an NSF Graduate Research Fellowship grant 00039202. David J. Odde acknowledges funding from NIH grants R01 CA172986 and U54 CA210190.
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Prahl, L.S., Odde, D.J. (2018). Modeling Cell Migration Mechanics. In: Dong, C., Zahir, N., Konstantopoulos, K. (eds) Biomechanics in Oncology. Advances in Experimental Medicine and Biology, vol 1092. Springer, Cham. https://doi.org/10.1007/978-3-319-95294-9_9
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