A phenomenological model for cell and nucleus deformation during cancer metastasis

Biomechanics and Modeling in Mechanobiology
Jiao ChenFred J Vermolen

Abstract

Cell migration plays an essential role in cancer metastasis. In cancer invasion through confined spaces, cells must undergo extensive deformation, which is a capability related to their metastatic potentials. Here, we simulate the deformation of the cell and nucleus during invasion through a dense, physiological microenvironment by developing a phenomenological computational model. In our work, cells are attracted by a generic emitting source (e.g., a chemokine or stiffness signal), which is treated by using Green's Fundamental solutions. We use an IMEX integration method where the linear parts and the nonlinear parts are treated by using an Euler backward scheme and an Euler forward method, respectively. We develop the numerical model for an obstacle-induced deformation in 2D or/and 3D. Considering the uncertainty in cell mobility, stochastic processes are incorporated and uncertainties in the input variables are evaluated using Monte Carlo simulations. This quantitative study aims at estimating the likelihood for invasion and the length of the time interval in which the cell invades the tissue through an obstacle. Subsequently, the two-dimensional cell deformation model is applied to simplified cancer metastasis processes to ...Continue Reading

References

May 1, 1980·Journal of Mathematical Biology·G OdellP Alberch
Feb 9, 1996·Cell·D A Lauffenburger, A F Horwitz
Dec 1, 1995·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·D DrasdoJ S McCaskill
Jun 28, 2001·Proceedings of the National Academy of Sciences of the United States of America·S JayaramanA S Verkman
Aug 3, 2002·Nature Reviews. Cancer·Ann F ChambersIan C MacDonald
Jan 18, 2006·Cellular and Molecular Life Sciences : CMLS·L Kopfstein, G Christofori
Mar 22, 2006·Proceedings of the National Academy of Sciences of the United States of America·Julie A Champion, Samir Mitragotri
Jul 28, 2006·European Biophysics Journal : EBJ·Claudia A BrunnerMichael Goegler
Nov 18, 2006·Cell·Gaorav P Gupta, Joan Massagué
Sep 25, 2007·Nature Reviews. Cancer·Erik Sahai
Aug 30, 2008·Journal of Microscopy·S Pinner, E Sahai
Oct 9, 2008·Journal of Mathematical Biology·Helen Byrne, Dirk Drasdo
Mar 28, 2009·Journal of the Royal Society, Interface·B D CummingZ Upton
Jun 16, 2009·Current Opinion in Cell Biology·Tim Lämmermann, Michael Sixt
Aug 18, 2009·Seminars in Cell & Developmental Biology·Katarina WolfPeter Friedl
Aug 27, 2009·Cellular and Molecular Life Sciences : CMLS·K PankováJan Brábek
Nov 27, 2010·Current Opinion in Cell Biology·Peter FriedlJan Lammerding
Mar 29, 2011·Biomechanics and Modeling in Mechanobiology·F J Vermolen, A Gefen
Aug 3, 2011·Hepatology : Official Journal of the American Association for the Study of Liver Diseases·Pu ZhaoZhi-Nan Chen
May 25, 2012·Biomechanics and Modeling in Mechanobiology·F J Vermolen, A Gefen
Dec 15, 2012·Critical Reviews in Oncogenesis·Thomas N Seyfried, Leanne C Huysentruyt
Jan 2, 2013·Biomechanics and Modeling in Mechanobiology·R Rey, J M García-Aznar
Jul 10, 2013·Journal of Mathematical Biology·Wieland Marth, Axel Voigt
Sep 24, 2013·Integrative Biology : Quantitative Biosciences From Nano to Macro·Michael Mak, David Erickson
Aug 15, 2014·PLoS Computational Biology·René F M van OersRoeland M H Merks
Oct 18, 2014·Lab on a Chip·Marie-Eve Myrand-LapierreHongshen Ma
Dec 2, 2014·Cellular and Molecular Bioengineering·Patricia M DavidsonJan Lammerding
Aug 21, 2015·In Silico Cell and Tissue Science·Carlos BorauJosé Manuel García-Aznar
Mar 26, 2016·Science·Celine M DenaisJan Lammerding
Apr 17, 2016·Genes & Development·Toni Celià-Terrassa, Yibin Kang
Jun 25, 2016·Medical Engineering & Physics·Shada Abuhattum, Daphne Weihs
Jul 16, 2016·Annual Review of Biomedical Engineering·Colin D PaulKonstantinos Konstantopoulos
Dec 3, 2016·Nature Reviews. Cancer·Colin D PaulKonstantinos Konstantopoulos
Dec 23, 2016·Biomechanics and Modeling in Mechanobiology·Sonbula Massalha, Daphne Weihs

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Citations

Sep 11, 2019·Biomechanics and Modeling in Mechanobiology·Jiao ChenFred J Vermolen
Aug 2, 2020·Bulletin of Mathematical Biology·J ChenF J Vermolen
Mar 8, 2019·Biomechanics and Modeling in Mechanobiology·S Hervas-RaluyM J Gomez-Benito
Nov 17, 2020·APL Bioengineering·Gabriel ShatkinAdam J Engler
Mar 9, 2021·Biomechanics and Modeling in Mechanobiology·Yaniv Ben-David, Daphne Weihs
Jul 22, 2021·ACS Biomaterials Science & Engineering·Gowri Manohari BalachanderKaushik Chatterjee

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