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Predicting the Efficacy of Stalk Cells Following Leading Cells Through a Micro-Channel Using Morphoelasticity and a Cell Shape Evolution Model

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Computer Methods, Imaging and Visualization in Biomechanics and Biomedical Engineering II (CMBBE 2021)

Abstract

Cancer cell migration between different body parts is the driving force behind cancer metastasis, which causes mortality of patients. Migration of cancer cells often proceeds by penetration through narrow cavities in possibly stiff tissues. In our previous work [12], a model for the evolution of cell geometry is developed, and in the current study we use this model to investigate whether followers among (cancer) cells benefit from leading (cancer) cells during transmigration through micro-channels and cavities. Using Wilcoxon’s signed-rank text on the data collected from Monte Carlo simulations, we conclude that the transmigration time for the stalk cell is significantly smaller than for the leading cell with a p-value less than 0.0001, for the modelling set-up that we have used in this study.

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References

  1. Angelini, T.E., Dunn, A.C., Urueña, J.M., Dickrell, D.J., Burris, D.L., Sawyer, W.G.: Cell friction. Faraday Discuss. 156, 31 (2012)

    Google Scholar 

  2. Cross, S.E., Jin, Y.-S., Rao, J., Gimzewski, J.K.: Nanomechanical analysis of cells from cancer patients. Nat. Nanotechnol. 2(12), 780–783 (2007)

    Article  Google Scholar 

  3. Ebata, H., et al.: Persistent random deformation model of cells crawling on a gel surface. Sci. Rep. 8(1) (2018). https://doi.org/10.1038/s41598-018-23540-x

  4. Gal, N., Weihs, D.: Intracellular mechanics and activity of breast cancer cells correlate with metastatic potential. Cell Biochem. Biophys. 63(3), 199–209 (2012)

    Article  Google Scholar 

  5. Guck, J., et al.: Optical deformability as an inherent cell marker for testing malignant transformation and metastatic competence. Biophys. J. 88(5), 3689–3698 (2005)

    Article  Google Scholar 

  6. D. Koppenol. Biomedical implications from mathematical models for the simulation of dermal wound healing. PhD-thesis at the Delft University of Technology, The Netherlands (2017)

    Google Scholar 

  7. Mak, M., Reinhart-King, C.A., Erickson, D.: Elucidating mechanical transition effects of invading cancer cells with a subnucleus-scaled microfluidic serial dimensional modulation device. Lab Chip. 13(3), 340–348 (2013)

    Google Scholar 

  8. Massalha, S., Weihs, D.: Metastatic breast cancer cells adhere strongly on varying stiffness substrates, initially without adjusting their morphology. Biomech. Model. Mechanobiology 16(3), 961–970 (2016)

    Article  Google Scholar 

  9. Mogilner, A., Keren, K.: The shape of motile cells. Current Biol. 19(17), R762–R771 (2009)

    Article  Google Scholar 

  10. Paluch, E., Heisenberg, C.-P.: Biology and physics of cell shape changes in development. Current Biol. 19(17), R790–R799 (2009)

    Google Scholar 

  11. Peng, Q., Vermolen, F.: Agent-based modelling and parameter sensitivity analysis with a finite-element method for skin contraction. Biomech. Model. Mechanobiol. 19(6), 2525–2551 (2020). https://doi.org/10.1007/s10237-020-01354-z

    Article  Google Scholar 

  12. Peng, Q., Vermolen, F.J., Weihs, D.: A formalism for modelling traction forces and cell shape evolution during cell migration in various biomedical processes. Biomech. Model. Mechanobiol. 20(4), 1459–1475 (2021). https://doi.org/10.1007/s10237-021-01456-2

    Article  Google Scholar 

  13. Rey, D., Neuhäuser, M.: Wilcoxon-signed-rank test. In: International Encyclopedia of Statistical Science, pp. 1658–1659. Springer, Berlin (2011). https://doi.org/10.1007/978-3-642-04898-2_616

  14. Shapiro, S.S., Wilk, M.B.: An analysis of variance test for normality (complete samples). Biometrika 52(3/4), 591–611 (1965)

    Article  MathSciNet  Google Scholar 

  15. Swaminathan, V., Mythreye, K., O’Brien, E.T., Berchuck, A., Blobe, G.C., Superfine, R.: Mechanical stiffness grades metastatic potential in patient tumor cells and in cancer cell lines. Cancer Res. 71(15), 5075–5080 (2011)

    Article  Google Scholar 

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Peng, Q., Vermolen, F.J., Weihs, D. (2023). Predicting the Efficacy of Stalk Cells Following Leading Cells Through a Micro-Channel Using Morphoelasticity and a Cell Shape Evolution Model. In: Tavares, J.M.R.S., Bourauel, C., Geris, L., Vander Slote, J. (eds) Computer Methods, Imaging and Visualization in Biomechanics and Biomedical Engineering II. CMBBE 2021. Lecture Notes in Computational Vision and Biomechanics, vol 38. Springer, Cham. https://doi.org/10.1007/978-3-031-10015-4_10

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  • DOI: https://doi.org/10.1007/978-3-031-10015-4_10

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  • Online ISBN: 978-3-031-10015-4

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