Skip to main content
Log in

Numerical investigation of the role of intercellular interactions on collective epithelial cell migration

  • Original Paper
  • Published:
Biomechanics and Modeling in Mechanobiology Aims and scope Submit manuscript

Abstract

During collective cell migration, the intercellular forces will significantly affect the collective migratory behaviors. However, the measurement of mechanical stresses exerted at cell–cell junctions is very challenging. A recent experimental observation indicated that the intercellular adhesion sites within a migrating monolayer are subjected to both normal stress exerted perpendicular to cell–cell junction surface and shear stress exerted tangent to cell–cell junction surface. In this study, an interfacial interaction model was proposed to model the intercellular interactions for the first time. The intercellular interaction model-based study of collective epithelial migration revealed that the direction of cell migration velocity has better alignment with the orientation of local principal stress at higher maximum shear stress locations in an epithelial monolayer sheet. Parametric study of the effects of adhesion strength indicated that normal adhesion strength at the cell–cell junction surface has dominated effect on local alignment between the direction of cell velocity vector and the principal stress orientation, while the shear adhesion strength has little effect, which provides compelling evidence to help explain the force transmission via cell–cell junctions between adjacent cells in collective cell motion and provides new insights into “adhesive belt” effects at cell–cell junction.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  • AnayaHernández A, RodríguezCastelán J, Nicolás L, MartínezGómez M, JiménezEstrada I, Castelán F, Cuevas E (2015) Hypothyroidism affects differentially the cell size of epithelial cells among oviductal regions of rabbits. Reprod Domest Anim 50:104–111

    Article  Google Scholar 

  • Anon E, Serra-Picamal X, Hersen P, Gauthier NC, Sheetz MP, Trepat X, Ladoux B (2012) Cell crawling mediates collective cell migration to close undamaged epithelial gaps. Proc Natl Acad Sci 109:10891–10896

    Article  Google Scholar 

  • Bazellières E et al (2015) Control of cell–cell forces and collective cell dynamics by the intercellular adhesome. Nat Cell Biol 17:409–420

    Article  Google Scholar 

  • Belytschko T, Chiapetta R, Bartel H (1976) Efficient large scale nonlinear transient analysis by finite elements. Int J Numer Methods Eng 10:579–596

    Article  Google Scholar 

  • Berdyyeva TK, Woodworth CD, Sokolov I (2004) Human epithelial cells increase their rigidity with ageing in vitro: direct measurements. Phys Med Biol 50:81

    Article  Google Scholar 

  • Bertet C, Sulak L, Lecuit T (2004) Myosin-dependent junction remodelling controls planar cell intercalation and axis elongation. Nature 429:667–671

    Article  Google Scholar 

  • Bi D, Lopez J, Schwarz J, Manning ML (2015) A density-independent glass transition in biological tissues. Nat Phys 11:1074–1079

    Article  Google Scholar 

  • Brodland GW, Viens D, Veldhuis JH (2007) A new cell-based FE model for the mechanics of embryonic epithelia. Comput Methods Biomech Biomed Eng Imaging 10:121–128

    Article  Google Scholar 

  • Brugués A et al (2014) Forces driving epithelial wound healing. Nat Phys 10:683–690

    Article  Google Scholar 

  • Butcher DT, Alliston T, Weaver VM (2009) A tense situation: forcing tumour progression. Nat Rev Cancer 9:108–122

    Article  Google Scholar 

  • Chen HH, Brodland GW (2000) Cell-level finite element studies of viscous cells in planar aggregates. J Biomech Eng 122:394–401

    Article  Google Scholar 

  • Collins C, Nelson WJ (2015) Running with neighbors: coordinating cell migration and cell–cell adhesion. Curr Opin Cell Biol 36:62–70

    Article  Google Scholar 

  • Das T, Safferling K, Rausch S, Grabe N, Boehm H, Spatz JP (2015) A molecular mechanotransduction pathway regulates collective migration of epithelial cells. Nat Cell Biol 17:276–287

    Article  Google Scholar 

  • De Paiva CS, Pflugfelder SC, Li DQ (2006) Cell size correlates with phenotype and proliferative capacity in human corneal epithelial cells. Stem Cells 24:368–375

    Article  Google Scholar 

  • Driessche W, Smet P, Raskin G (1993) An automatic monitoring system for epithelial cell height. Pflügers Arch Eur J Physiol 425:164–171

    Article  Google Scholar 

  • Du Roure O, Saez A, Buguin A, Austin RH, Chavrier P, Siberzan P, Ladoux B (2005) Force mapping in epithelial cell migration. Proc Natl Acad Sci USA 102:2390–2395

    Article  Google Scholar 

  • Edwards S, Yeomans J (2009) Spontaneous flow states in active nematics: a unified picture. EPL 85:18008

    Article  Google Scholar 

  • Fan H, Li S (2015a) Modeling microtubule cytoskeleton via an active liquid crystal elastomer model. Comput Mater Sci 96:559–566

    Article  Google Scholar 

  • Fan H, Li S (2015b) Modeling universal dynamics of cell spreading on elastic substrates. Biomech Model Mechanobiol 14:1265–1280

    Article  Google Scholar 

  • Farooqui R, Fenteany G (2005) Multiple rows of cells behind an epithelial wound edge extend cryptic lamellipodia to collectively drive cell-sheet movement. J Cell Sci 118:51–63

    Article  Google Scholar 

  • Farsad M, Vernerey FJ (2012) An XFEMbased numerical strategy to model mechanical interactions between biological cells and a deformable substrate. Int J Numer Meth Eng 92:238–267

    Article  MATH  Google Scholar 

  • Frascoli F, Hughes BD, Zaman MH, Landman KA (2013) A computational model for collective cellular motion in three dimensions: general framework and case study for cell pair dynamics. PLoS ONE 8:e59249

    Article  Google Scholar 

  • Friedl P, Hegerfeldt Y, Tusch M (2004) Collective cell migration in morphogenesis and cancer. Int J Dev Biol 48:441–449

    Article  Google Scholar 

  • Gagliardi PA et al (2015) Real-time monitoring of cell protrusion dynamics by impedance responses. Sci Rep 5:10206

    Article  Google Scholar 

  • Giepmans BN, van IJzendoorn SC (2009) Epithelial cell–cell junctions and plasma membrane domains. Biochim Biophys Acta Biomembr 1788:820–831

    Article  Google Scholar 

  • Grainger DW, Reichert A, Ringsdorf H, Salesse C, Davies DE, Lloyd JB (1990) Mixed monolayers of natural and polymeric phospholipids: structural characterization by physical and enzymatic methods. Biochim Biophys Acta Biomembr 1022:146–154

    Article  Google Scholar 

  • Guillot C, Lecuit T (2013) Mechanics of epithelial tissue homeostasis and morphogenesis. Science 340:1185–1189

    Article  Google Scholar 

  • Guz N, Dokukin M, Kalaparthi V, Sokolov I (2014) If cell mechanics can be described by elastic modulus: study of different models and probes used in indentation experiments. Biophys J 107:564–575

    Article  Google Scholar 

  • Hernandez S, Munguia BC, Gonzalez-Mariscal L (2007) ZO-2 silencing in epithelial cells perturbs the gate and fence function of tight junctions and leads to an atypical monolayer architecture. Exp Cell Res 313:1533–1547

    Article  Google Scholar 

  • Hunter AW, Barker RJ, Zhu C, Gourdie RG (2005) Zonula occludens-1 alters connexin43 gap junction size and organization by influencing channel accretion. Mol Biol Cell 16:5686–5698

    Article  Google Scholar 

  • Jacinto A, Wood W, Balayo T, Turmaine M, Martinez-Arias A, Martin P (2000) Dynamic actin-based epithelial adhesion and cell matching during Drosophila dorsal closure. Curr Biol 10:1420–1426

    Article  Google Scholar 

  • Kabla AJ (2012) Collective cell migration: leadership, invasion and segregation. J R Soc Interface 9:3268–3278

    Article  Google Scholar 

  • Kim JH et al (2013) Propulsion and navigation within the advancing monolayer sheet. Nat Mater 12:856–863

    Article  Google Scholar 

  • Lecaudey V, Gilmour D (2006) Organizing moving groups during morphogenesis. Curr Opin Cell Biol 18:102–107

    Article  Google Scholar 

  • Levental KR et al (2009) Matrix crosslinking forces tumor progression by enhancing integrin signaling. Cell 139:891–906

    Article  Google Scholar 

  • Li B, Sun SX (2014) Coherent motions in confluent cell monolayer sheets. Biophys J 107:1532–1541

    Article  Google Scholar 

  • Lin L, Zeng X (2017) Computational study of cell adhesion and rolling in flow channel by meshfree method. Comput Methods Biomech Biomed Eng 20:832–841

    Article  Google Scholar 

  • Lin L, Wang X, Zeng X (2014) Geometrical modeling of cell division and cell remodeling based on Voronoi tessellation method. CMES. Comput Model Eng Sci 98:203–220

    Google Scholar 

  • Lin L, Samuel J, Zeng X, Wang X (2017a) Contribution of extrafibrillar matrix to the mechanical behavior of bone using a novel cohesive finite element model. J Mech Behav Biomed Mater 65:224–235

    Article  Google Scholar 

  • Lin L, Wang X, Zeng X (2017b) Computational modeling of interfacial behaviors in nanocomposite materials. Int J Solids Struct 115:43–52

    Article  Google Scholar 

  • Liu P, Zhang Y, Cheng Q, Lu C (2007) Simulations of the spreading of a vesicle on a substrate surface mediated by receptor-ligand binding. J Mech Phys Solids 55:1166–1181

    Article  MATH  Google Scholar 

  • Liu Z et al (2010) Mechanical tugging force regulates the size of cell–cell junctions. Proc Natl Acad Sci 107:9944–9949

    Article  Google Scholar 

  • Mayor R, Carmona-Fontaine C (2010) Keeping in touch with contact inhibition of locomotion. Trends Cell Biol 20:319–328

    Article  Google Scholar 

  • McGarry J, Murphy B, McHugh P (2005) Computational mechanics modelling of cell–substrate contact during cyclic substrate deformation. J Mech Phys Solids 53:2597–2637

    Article  MATH  Google Scholar 

  • Méhes E, Vicsek T (2014) Collective motion of cells: from experiments to models. Integr Biol 6:831–854

    Article  Google Scholar 

  • Mogilner A (2009) Mathematics of cell motility: have we got its number? J Math Biol 58:105–134

    Article  MathSciNet  MATH  Google Scholar 

  • Montell DJ (2008) Morphogenetic cell movements: diversity from modular mechanical properties. Science 322:1502–1505

    Article  Google Scholar 

  • Park K et al (2010) Measurement of adherent cell mass and growth. Proc Natl Acad Sci 107:20691–20696

    Article  Google Scholar 

  • Patton DL, Thwin SS, Meier A, Hooton TM, Stapleton AE, Eschenbach DA (2000) Epithelial cell layer thickness and immune cell populations in the normal human vagina at different stages of the menstrual cycle. Am J Obstet Gynecol 183:967–973

  • Ponti A, Machacek M, Gupton SL, Waterman-Storer C, Danuser G (2004) Two distinct actin networks drive the protrusion of migrating cells. Science 305:1782–1786

    Article  Google Scholar 

  • Reig G, Pulgar E, Concha ML (2014) Cell migration: from tissue culture to embryos. Development 141:1999–2013

    Article  Google Scholar 

  • Rørth P (2009) Collective cell migration. Ann Rev Cell Dev 25:407–429

    Article  Google Scholar 

  • Roy S, Qi HJ (2010) A computational biomimetic study of cell crawling. Biomech Model Mechanobiol 9:573–581

    Article  Google Scholar 

  • Saez A, Ghibaudo M, Buguin A, Silberzan P, Ladoux B (2007) Rigidity-driven growth and migration of epithelial cells on microstructured anisotropic substrates. Proc Natl Acad Sci 104:8281–8286

    Article  Google Scholar 

  • Saez A et al (2010) Traction forces exerted by epithelial cell sheets. J Phys Condens Matter 22:194119

    Article  Google Scholar 

  • Scarpa E, Mayor R (2016) Collective cell migration in development. J Cell Biol 212:143–155

    Article  Google Scholar 

  • Schoen I, Hu W, Klotzsch E, Vogel V (2010) Probing cellular traction forces by micropillar arrays: contribution of substrate warping to pillar deflection. Nano Lett 10:1823–1830

    Article  Google Scholar 

  • Sepúlveda N, Petitjean L, Cochet O, Grasland-Mongrain E, Silberzan P, Hakim V (2013) Collective cell motion in an epithelial sheet can be quantitatively described by a stochastic interacting particle model. PLoS Comput Biol 9:e1002944

    Article  MathSciNet  Google Scholar 

  • Shaw TJ, Martin P (2009) Wound repair at a glance. J Cell Sci 122:3209–3213

    Article  Google Scholar 

  • Sheetz MP, Felsenfeld DP, Galbraith CG (1998) Cell migration: regulation of force on extracellular-matrix-integrin complexes. Trends Cell Biol 8:51–54

    Article  Google Scholar 

  • Simpson KJ, Selfors LM, Bui J, Reynolds A, Leake D, Khvorova A, Brugge JS (2008) Identification of genes that regulate epithelial cell migration using an siRNA screening approach. Nat Cell Biol 10:1027–1038

    Article  Google Scholar 

  • Tambe DT et al (2011) Collective cell guidance by cooperative intercellular forces. Nat Mater 10:469–475

    Article  Google Scholar 

  • Trepat X, Fredberg JJ (2011) Plithotaxis and emergent dynamics in collective cellular migration. Trends Cell Biol 21:638–646

    Article  Google Scholar 

  • Trepat X, Wasserman MR, Angelini TE, Millet E, Weitz DA, Butler JP, Fredberg JJ (2009) Physical forces during collective cell migration. Nat Phys 5:426–430

    Article  Google Scholar 

  • Vasioukhin V, Bauer C, Yin M, Fuchs E (2000) Directed actin polymerization is the driving force for epithelial cell–cell adhesion. Cell 100:209–219

    Article  Google Scholar 

  • Vedula SRK, Ravasio A, Lim CT, Ladoux B (2013) Collective cell migration: a mechanistic perspective. Physiology 28:370–379

    Article  Google Scholar 

  • Vernerey FJ, Farsad M (2014) A mathematical model of the coupled mechanisms of cell adhesion, contraction and spreading. J Math Biol 68:989–1022

    Article  MathSciNet  MATH  Google Scholar 

  • Vitorino P, Meyer T (2008) Modular control of endothelial sheet migration. Genes Dev 22:3268–3281

    Article  Google Scholar 

  • Weijer CJ (2009) Collective cell migration in development. J Cell Sci 122:3215–3223

    Article  Google Scholar 

  • Xu X-P, Needleman A (1994) Numerical simulations of fast crack growth in brittle solids. J Mech Phys Solids 42:1397–1434

    Article  MATH  Google Scholar 

  • Zeng X, Li S (2011a) Modelling and simulation of substrate elasticity sensing in stem cells. Comput Methods Biomech Biomed Eng 14:447–458

    Article  Google Scholar 

  • Zeng X, Li S (2011b) Multiscale modeling and simulation of soft adhesion and contact of stem cells. J Mech Behav Biomed Mater 4:180–189

    Article  Google Scholar 

  • Zeng X, Li S (2012) A three dimensional soft matter cell model for mechanotransduction. Soft Matter 8:5765–5776

    Article  Google Scholar 

  • Zeng X, Li S (2014) Biomechanical cell model by liquid-crystal elastomers. J Eng Mech 140:04013003

    Article  Google Scholar 

Download references

Acknowledgements

This work is supported by a grant from National Institutes of Health (Grant No. SC2GM112575) and a grant from the University of Texas at San Antonio (UTSA), Office of the Vice President for Research. Valuable discussions with Professor Jean Jiang and Professor Bruce Nicholson at Biochemistry Department of University of Texas Health Science Center at San Antonio, and with Professor Xiaodu Wang at Mechanical Engineering of UTSA are gratefully acknowledged.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xiaowei Zeng.

Ethics declarations

Conflict of interest

The authors declare that there is no conflict of interest.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lin, L., Zeng, X. Numerical investigation of the role of intercellular interactions on collective epithelial cell migration. Biomech Model Mechanobiol 17, 439–448 (2018). https://doi.org/10.1007/s10237-017-0970-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10237-017-0970-y

Keywords

Navigation