DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Computational approaches to substrate-based cell motility

Abstract

Substrate-based crawling motility of eukaryotic cells is essential for many biological functions, both in developing and mature organisms. Motility dysfunctions are involved in several life-threatening pathologies such as cancer and metastasis. Motile cells are also a natural realization of active, self-propelled ‘particles’, a popular research topic in nonequilibrium physics. Finally, from the materials perspective, assemblies of motile cells and evolving tissues constitute a class of adaptive self-healing materials that respond to the topography, elasticity, and surface chemistry of the environment and react to external stimuli. Although a comprehensive understanding of substrate-based cell motility remains elusive, progress has been achieved recently in its modeling on the whole cell level. Furthermore we survey the most recent advances in computational approaches to cell movement and demonstrate how these models improve our understanding of complex self-organized systems such as living cells.

Authors:
 [1];  [2]
  1. Albert-Ludwigs-Univ. Freiburg, Freiburg (Germany); Institut Charles Sadron, Strasbourg (France)
  2. Argonne National Lab. (ANL), Argonne, IL (United States); Northwestern Univ., Evanston, IL (United States)
Publication Date:
Research Org.:
Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); Materials Sciences and Engineering Division; German Science Foundation
OSTI Identifier:
1352532
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
npj Computational Materials
Additional Journal Information:
Journal Volume: 2; Journal ID: ISSN 2057-3960
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 25 ENERGY STORAGE

Citation Formats

Ziebert, Falko, and Aranson, Igor S. Computational approaches to substrate-based cell motility. United States: N. p., 2016. Web. doi:10.1038/npjcompumats.2016.19.
Ziebert, Falko, & Aranson, Igor S. Computational approaches to substrate-based cell motility. United States. https://doi.org/10.1038/npjcompumats.2016.19
Ziebert, Falko, and Aranson, Igor S. Fri . "Computational approaches to substrate-based cell motility". United States. https://doi.org/10.1038/npjcompumats.2016.19. https://www.osti.gov/servlets/purl/1352532.
@article{osti_1352532,
title = {Computational approaches to substrate-based cell motility},
author = {Ziebert, Falko and Aranson, Igor S.},
abstractNote = {Substrate-based crawling motility of eukaryotic cells is essential for many biological functions, both in developing and mature organisms. Motility dysfunctions are involved in several life-threatening pathologies such as cancer and metastasis. Motile cells are also a natural realization of active, self-propelled ‘particles’, a popular research topic in nonequilibrium physics. Finally, from the materials perspective, assemblies of motile cells and evolving tissues constitute a class of adaptive self-healing materials that respond to the topography, elasticity, and surface chemistry of the environment and react to external stimuli. Although a comprehensive understanding of substrate-based cell motility remains elusive, progress has been achieved recently in its modeling on the whole cell level. Furthermore we survey the most recent advances in computational approaches to cell movement and demonstrate how these models improve our understanding of complex self-organized systems such as living cells.},
doi = {10.1038/npjcompumats.2016.19},
journal = {npj Computational Materials},
number = ,
volume = 2,
place = {United States},
year = {Fri Jul 15 00:00:00 EDT 2016},
month = {Fri Jul 15 00:00:00 EDT 2016}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 49 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Traction Dynamics of Filopodia on Compliant Substrates
journal, December 2008


Spontaneous symmetry breaking in active droplets provides a generic route to motility
journal, July 2012

  • Tjhung, E.; Marenduzzo, D.; Cates, M. E.
  • Proceedings of the National Academy of Sciences, Vol. 109, Issue 31
  • DOI: 10.1073/pnas.1200843109

The Forces Behind Cell Movement
journal, January 2007

  • Ananthakrishnan, Revathi; Ehrlicher, Allen
  • International Journal of Biological Sciences
  • DOI: 10.7150/ijbs.3.303

Periodic Migration in a Physical Model of Cells on Micropatterns
journal, October 2013


Cell Spreading and Lamellipodial Extension Rate Is Regulated by Membrane Tension
journal, January 2000

  • Raucher, Drazen; Sheetz, Michael P.
  • The Journal of Cell Biology, Vol. 148, Issue 1
  • DOI: 10.1083/jcb.148.1.127

Oscillatory motions of an active deformable particle
journal, June 2013


Bipedal Locomotion in Crawling Cells
journal, March 2010


Nonlinear Field Equations for Aligning Self-Propelled Rods
journal, December 2012


Modeling crawling cell movement on soft engineered substrates
journal, January 2014

  • Löber, Jakob; Ziebert, Falko; Aranson, Igor S.
  • Soft Matter, Vol. 10, Issue 9
  • DOI: 10.1039/C3SM51597D

Computational Model for Cell Morphodynamics
journal, September 2010


Dynamics of Cell Ensembles on Adhesive Micropatterns: Bridging the Gap between Single Cell Spreading and Collective Cell Migration
journal, April 2016


Velocity Fields in a Collectively Migrating Epithelium
journal, May 2010


Continuum Field Description of Crack Propagation
journal, July 2000


Ligand density elicits a phenotypic switch in human neutrophils
journal, January 2014

  • Henry, Steven J.; Crocker, John C.; Hammer, Daniel A.
  • Integrative Biology, Vol. 6, Issue 3
  • DOI: 10.1039/c3ib40225h

Glass-like dynamics of collective cell migration
journal, February 2011

  • Angelini, T. E.; Hannezo, E.; Trepat, X.
  • Proceedings of the National Academy of Sciences, Vol. 108, Issue 12
  • DOI: 10.1073/pnas.1010059108

Cell Motility Resulting from Spontaneous Polymerization Waves
journal, December 2011


Collective migration of an epithelial monolayer in response to a model wound
journal, September 2007

  • Poujade, M.; Grasland-Mongrain, E.; Hertzog, A.
  • Proceedings of the National Academy of Sciences, Vol. 104, Issue 41
  • DOI: 10.1073/pnas.0705062104

The immersed boundary method
journal, January 2002


Growth Factors, Matrices, and Forces Combine and Control Stem Cells
journal, June 2009


A Comparison of Computational Models for Eukaryotic Cell Shape and Motility
journal, December 2012


Continuum description of avalanches in granular media
book, December 2020


CellTrack: an open-source software for cell tracking and motility analysis
journal, May 2008


Collective migration under hydrodynamic interactions: a computational approach
journal, October 2016


Diffuse interface models of locally inextensible vesicles in a viscous fluid
journal, November 2014

  • Aland, Sebastian; Egerer, Sabine; Lowengrub, John
  • Journal of Computational Physics, Vol. 277
  • DOI: 10.1016/j.jcp.2014.08.016

Crawling Cells Can Close Wounds Without Purse Strings or Signaling
journal, February 2011


Effects of Adhesion Dynamics and Substrate Compliance on the Shape and Motility of Crawling Cells
journal, May 2013


Principles of locomotion for simple-shaped cells
journal, March 1993

  • Lee, Juliet; Ishihara, Akira; Theriot, Julie A.
  • Nature, Vol. 362, Issue 6416
  • DOI: 10.1038/362167a0

A mesoscopic field theoretical approach for active systems
text, January 2016


An Adaptive Finite Element Multi-Mesh Approach for Interacting Deformable Objects in Flow
journal, January 2016

  • Ling, Siqi; Marth, Wieland; Praetorius, Simon
  • Computational Methods in Applied Mathematics, Vol. 16, Issue 3
  • DOI: 10.1515/cmam-2016-0003

Analysis of actin dynamics at the leading edge of crawling cells: implications for the shape of keratocyte lamellipodia
journal, October 2003


Tumbling of vesicles under shear flow within an advected-field approach
journal, March 2003


The interaction of Arp2/3 complex with actin: Nucleation, high affinity pointed end capping, and formation of branching networks of filaments
journal, May 1998

  • Mullins, R. D.; Heuser, J. A.; Pollard, T. D.
  • Proceedings of the National Academy of Sciences, Vol. 95, Issue 11
  • DOI: 10.1073/pnas.95.11.6181

Continuum model of cell adhesion and migration
journal, May 2008


A hybrid particle-mesh method for incompressible active polar viscous gels
journal, June 2015

  • Ramaswamy, Rajesh; Bourantas, George; Jülicher, Frank
  • Journal of Computational Physics, Vol. 291
  • DOI: 10.1016/j.jcp.2015.03.007

Physical forces during collective cell migration
journal, May 2009

  • Trepat, Xavier; Wasserman, Michael R.; Angelini, Thomas E.
  • Nature Physics, Vol. 5, Issue 6
  • DOI: 10.1038/nphys1269

Use the force: membrane tension as an organizer of cell shape and motility
journal, February 2013

  • Diz-Muñoz, Alba; Fletcher, Daniel A.; Weiner, Orion D.
  • Trends in Cell Biology, Vol. 23, Issue 2
  • DOI: 10.1016/j.tcb.2012.09.006

Force transmission in migrating cells
journal, January 2010

  • Fournier, Maxime F.; Sauser, Roger; Ambrosi, Davide
  • The Journal of Cell Biology, Vol. 188, Issue 2
  • DOI: 10.1083/jcb.200906139

Emerging modes of collective cell migration induced by geometrical constraints
journal, July 2012

  • Vedula, S. R. K.; Leong, M. C.; Lai, T. L.
  • Proceedings of the National Academy of Sciences, Vol. 109, Issue 32
  • DOI: 10.1073/pnas.1119313109

Membrane Tension in Rapidly Moving Cells Is Determined by Cytoskeletal Forces
journal, August 2013

  • Lieber, Arnon D.; Yehudai-Resheff, Shlomit; Barnhart, Erin L.
  • Current Biology, Vol. 23, Issue 15
  • DOI: 10.1016/j.cub.2013.05.063

Viscous flows in two dimensions
journal, October 1986

  • Bensimon, David; Kadanoff, Leo P.; Liang, Shoudan
  • Reviews of Modern Physics, Vol. 58, Issue 4
  • DOI: 10.1103/RevModPhys.58.977

Phase-Field Models for Microstructure Evolution
journal, August 2002


Pattern selection in fingered growth phenomena
journal, June 1988


Contractility and retrograde flow in lamellipodium motion
journal, June 2006


Spontaneous motion in hierarchically assembled active matter
journal, November 2012

  • Sanchez, Tim; Chen, Daniel T. N.; DeCamp, Stephen J.
  • Nature, Vol. 491, Issue 7424
  • DOI: 10.1038/nature11591

Guidance of collective cell migration by substrate geometry
journal, January 2013

  • Doxzen, Kevin; Vedula, Sri Ram Krishna; Leong, Man Chun
  • Integrative Biology, Vol. 5, Issue 8
  • DOI: 10.1039/c3ib40054a

Novel Type of Phase Transition in a System of Self-Driven Particles
journal, August 1995


Polarity mechanisms such as contact inhibition of locomotion regulate persistent rotational motion of mammalian cells on micropatterns
journal, September 2014

  • Camley, B. A.; Zhang, Y.; Zhao, Y.
  • Proceedings of the National Academy of Sciences, Vol. 111, Issue 41
  • DOI: 10.1073/pnas.1414498111

Mechanisms of cell propulsion by active stresses
journal, July 2011


Membrane tension feedback on shape and motility of eukaryotic cells
journal, April 2016


Electron tomography reveals unbranched networks of actin filaments in lamellipodia
journal, April 2010

  • Urban, Edit; Jacob, Sonja; Nemethova, Maria
  • Nature Cell Biology, Vol. 12, Issue 5
  • DOI: 10.1038/ncb2044

Adaptive Mesh Refinement Computation of Solidification Microstructures Using Dynamic Data Structures
journal, January 1999

  • Provatas, Nikolas; Goldenfeld, Nigel; Dantzig, Jonathan
  • Journal of Computational Physics, Vol. 148, Issue 1
  • DOI: 10.1006/jcph.1998.6122

Cell Movement Is Guided by the Rigidity of the Substrate
journal, July 2000


Cell Migration Driven by Cooperative Substrate Deformation Patterns
journal, April 2010


Actin Filament Elasticity and Retrograde Flow Shape the Force-Velocity Relation of Motile Cells
journal, January 2012

  • Zimmermann, Juliane; Brunner, Claudia; Enculescu, Mihaela
  • Biophysical Journal, Vol. 102, Issue 2
  • DOI: 10.1016/j.bpj.2011.12.023

Cellular motions and thermal fluctuations: the Brownian ratchet
journal, July 1993


Persistent, directional motility of cells and cytoplasmic fragments in the absence of microtubules
journal, July 1984

  • Euteneuer, Ursula; Schliwa, Manfred
  • Nature, Vol. 310, Issue 5972
  • DOI: 10.1038/310058a0

Spontaneous Division and Motility in Active Nematic Droplets
journal, April 2014


Elastic Properties of Lipid Bilayers: Theory and Possible Experiments
journal, December 1973


Continuum description of avalanches in granular media
journal, July 2001


Evidence of a large-scale mechanosensing mechanism for cellular adaptation to substrate stiffness
journal, April 2012

  • Trichet, L.; Le Digabel, J.; Hawkins, R. J.
  • Proceedings of the National Academy of Sciences, Vol. 109, Issue 18
  • DOI: 10.1073/pnas.1117810109

Switchable adhesive substrates: Revealing geometry dependence in collective cell behavior
journal, March 2012


Emergence of agent swarm migration and vortex formation through inelastic collisions
journal, February 2008


Physics of adherent cells
journal, August 2013


A computational model of cell migration coupling the growth of focal adhesions with oscillatory cell protrusions
journal, August 2008

  • Stéphanou, Angélique; Mylona, Eleni; Chaplain, Mark
  • Journal of Theoretical Biology, Vol. 253, Issue 4
  • DOI: 10.1016/j.jtbi.2008.04.035

Swimming Droplets
journal, March 2016


Actin–myosin network reorganization breaks symmetry at the cell rear to spontaneously initiate polarized cell motility
journal, September 2007

  • Yam, Patricia T.; Wilson, Cyrus A.; Ji, Lin
  • The Journal of Cell Biology, Vol. 178, Issue 7
  • DOI: 10.1083/jcb.200706012

Phase transition in the collective migration of tissue cells: Experiment and model
journal, December 2006


Alignment of cellular motility forces with tissue flow as a mechanism for efficient wound healing
journal, January 2013

  • Basan, M.; Elgeti, J.; Hannezo, E.
  • Proceedings of the National Academy of Sciences, Vol. 110, Issue 7
  • DOI: 10.1073/pnas.1219937110

Direct measurement of the lamellipodial protrusive force in a migrating cell
journal, September 2006

  • Prass, Marcus; Jacobson, Ken; Mogilner, Alex
  • The Journal of Cell Biology, Vol. 174, Issue 6
  • DOI: 10.1083/jcb.200601159

Morphodynamic Profiling of Protrusion Phenotypes
journal, February 2006


Swarming behavior of simple model squirmers
journal, July 2011


Branching, Capping, and Severing in Dynamic Actin Structures
journal, August 2007


Locomotion of fish epidermal keratocytes on spatially selective adhesion patterns
journal, November 2007

  • Csucs, Gabor; Quirin, Katharina; Danuser, Gaudenz
  • Cell Motility and the Cytoskeleton, Vol. 64, Issue 11
  • DOI: 10.1002/cm.20230

Redundant Mechanisms for Stable Cell Locomotion Revealed by Minimal Models
journal, August 2011

  • Wolgemuth, Charles W.; Stajic, Jelena; Mogilner, Alex
  • Biophysical Journal, Vol. 101, Issue 3
  • DOI: 10.1016/j.bpj.2011.06.032

Collisions of deformable cells lead to collective migration
journal, March 2015

  • Löber, Jakob; Ziebert, Falko; Aranson, Igor S.
  • Scientific Reports, Vol. 5, Issue 1
  • DOI: 10.1038/srep09172

Comparison between advected-field and level-set methods in the study of vesicle dynamics
journal, July 2012


Cell motility driven by actin polymerization
journal, December 1996


Myosin light chain kinase regulates cell polarization independently of membrane tension or Rho kinase
journal, April 2015

  • Lou, Sunny S.; Diz-Muñoz, Alba; Weiner, Orion D.
  • The Journal of Cell Biology, Vol. 209, Issue 2
  • DOI: 10.1083/jcb.201409001

Asters, Vortices, and Rotating Spirals in Active Gels of Polar Filaments
journal, February 2004


Emergence and Persistence of Collective Cell Migration on Small Circular Micropatterns
text, January 2015


Modular approach for modeling cell motility
journal, June 2014


On an evolution equation in a cell motility model
journal, April 2016

  • Mizuhara, Matthew S.; Berlyand, Leonid; Rybalko, Volodymyr
  • Physica D: Nonlinear Phenomena, Vol. 318-319
  • DOI: 10.1016/j.physd.2015.10.008

Modelling cell motility and chemotaxis with evolving surface finite elements
journal, June 2012

  • Elliott, Charles M.; Stinner, Björn; Venkataraman, Chandrasekhar
  • Journal of The Royal Society Interface, Vol. 9, Issue 76
  • DOI: 10.1098/rsif.2012.0276

Actin, a Central Player in Cell Shape and Movement
journal, November 2009


Simulation of biological cell sorting using a two-dimensional extended Potts model
journal, September 1992


Spiral actin-polymerization waves can generate amoeboidal cell crawling
journal, May 2014


Modeling of the actin-cytoskeleton in symmetric lamellipodial fragments
journal, April 2008

  • Oelz, Dietmar; Schmeiser, Christian; Small, J. Victor
  • Cell Adhesion & Migration, Vol. 2, Issue 2
  • DOI: 10.4161/cam.2.2.6373

Phase-field model for collective cell migration
journal, May 2016


Optimality of Contraction-Driven Crawling
journal, May 2014


Quantitative phase-field modeling of dendritic growth in two and three dimensions
journal, April 1998


Phase-field model for Hele-Shaw flows with arbitrary viscosity contrast. II. Numerical study
journal, August 1999


Spontaneous Motility of Actin Lamellar Fragments
journal, February 2013


The phase field technique for modeling multiphase materials
journal, October 2008


An Adhesion-Dependent Switch between Mechanisms That Determine Motile Cell Shape
journal, May 2011


A phase-field approach for stress-induced instabilities
journal, April 1999


Redundant Mechanisms for Stable Cell Locomotion Revealed by Minimal Models
journal, January 2010


Physical Properties Determining Self-Organization of Motors and Microtubules
journal, May 2001


Symmetry-breaking in mammalian cell cohort migration during tissue pattern formation: Role of random-walk persistence
journal, January 2005

  • Huang, S.; Brangwynne, C. P.; Parker, K. K.
  • Cell Motility and the Cytoskeleton, Vol. 61, Issue 4
  • DOI: 10.1002/cm.20077

Symmetry breaking in reconstituted actin cortices
journal, January 2013


Tracking Retrograde Flow in Keratocytes: News from the Front
journal, March 2005

  • Vallotton, Pascal; Danuser, Gaudenz; Bohnet, Sophie
  • Molecular Biology of the Cell, Vol. 16, Issue 3
  • DOI: 10.1091/mbc.e04-07-0615

A computational model of ameboid deformation and locomotion
journal, August 1998

  • Bottino, Dean C.; Fauci, Lisa J.
  • European Biophysics Journal, Vol. 27, Issue 5
  • DOI: 10.1007/s002490050163

An extended Filament Based Lamellipodium Model produces various moving cell shapes in the presence of chemotactic signals
journal, October 2015


Slipping or Gripping? Fluorescent Speckle Microscopy in Fish Keratocytes Reveals Two Different Mechanisms for Generating a Retrograde Flow of Actin
journal, February 2005

  • Jurado, Carlos; Haserick, John R.; Lee, Juliet
  • Molecular Biology of the Cell, Vol. 16, Issue 2
  • DOI: 10.1091/mbc.e04-10-0860

The Shape of Motile Cells
journal, September 2009


Onset of Collective and Cohesive Motion
journal, January 2004


Modeling Elasticity in Crystal Growth
journal, June 2002


Asymmetry between pushing and pulling for crawling cells
journal, February 2013


Membrane tension feedback on shape and motility of eukaryotic cells
text, January 2015


A phase field model for vesicle–substrate adhesion
journal, November 2009


Emergence of collective modes and tri-dimensional structures from epithelial confinement
journal, May 2014

  • Deforet, M.; Hakim, V.; Yevick, H. G.
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms4747

Analysis of the Actin–Myosin II System in Fish Epidermal Keratocytes: Mechanism of Cell Body Translocation
journal, October 1997

  • Svitkina, Tatyana M.; Verkhovsky, Alexander B.; McQuade, Kyle M.
  • The Journal of Cell Biology, Vol. 139, Issue 2
  • DOI: 10.1083/jcb.139.2.397

Minimal model for spontaneous cell polarization and edge activity in oscillating, rotating and migrating cells
journal, January 2016

  • Raynaud, Franck; Ambühl, Mark E.; Gabella, Chiara
  • Nature Physics, Vol. 12, Issue 4
  • DOI: 10.1038/nphys3615

Symmetry breaking in reconstituted actin cortices
journal, April 2014


Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions
journal, March 2006


Mechanical feedback between membrane tension and dynamics
journal, October 2012

  • Gauthier, Nils C.; Masters, Thomas A.; Sheetz, Michael P.
  • Trends in Cell Biology, Vol. 22, Issue 10
  • DOI: 10.1016/j.tcb.2012.07.005

Diffuse interface models of locally inextensible vesicles in a viscous fluid
text, January 2013


Modeling Cell Movement and Chemotaxis Using Pseudopod-Based Feedback
journal, January 2011

  • Neilson, M. P.; Mackenzie, J. A.; Webb, S. D.
  • SIAM Journal on Scientific Computing, Vol. 33, Issue 3
  • DOI: 10.1137/100788938

Contraction-Driven Cell Motility
journal, September 2013


A Mechanistic Collective Cell Model for Epithelial Colony Growth and Contact Inhibition
journal, October 2015

  • Aland, Sebastian; Hatzikirou, Haralambos; Lowengrub, John
  • Biophysical Journal, Vol. 109, Issue 7
  • DOI: 10.1016/j.bpj.2015.08.003

Nonlinear Study of Symmetry Breaking in Actin Gels: Implications for Cellular Motility
journal, February 2008


An asymmetry between pushing and pulling for crawling cells
text, January 2013


Macroscopic dynamics of polar nematic liquid crystals
journal, August 2006


Self-Propelled Nanomotors Autonomously Seek and Repair Cracks
journal, September 2015


Stochastic dynamics of adhesion clusters under shared constant force and with rebinding
journal, November 2004

  • Erdmann, Thorsten; Schwarz, Ulrich S.
  • The Journal of Chemical Physics, Vol. 121, Issue 18
  • DOI: 10.1063/1.1805496

Study on Multicellular Systems Using a Phase Field Model
journal, April 2012


Probing and repairing damaged surfaces with nanoparticle-containing microcapsules
journal, January 2012

  • Kratz, Katrina; Narasimhan, Amrit; Tangirala, Ravisubhash
  • Nature Nanotechnology, Vol. 7, Issue 2
  • DOI: 10.1038/nnano.2011.235

Modeling cell shape and dynamics on micropatterns
journal, February 2016


Reversible and dissipative macroscopic contributions to the stress tensor: Active or passive?
journal, September 2014


The moving boundary node method: A level set-based, finite volume algorithm with applications to cell motility
journal, September 2010


Model of Polarization and Bistability of Cell Fragments
journal, December 2007


Effect of Adhesion Geometry and Rigidity on Cellular Force Distributions
journal, July 2009


A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow
journal, September 1994

  • Sussman, Mark; Smereka, Peter; Osher, Stanley
  • Journal of Computational Physics, Vol. 114, Issue 1
  • DOI: 10.1006/jcph.1994.1155

Traveling and Resting Crystals in Active Systems
journal, February 2013


Viscous-Fingering-Like Instability of Cell Fragments
journal, June 2008


A continuum model of epithelial spreading
journal, January 2013


Learning From Nature: Synthesis and Characterization of Longitudinal Polymer Gradient Materials Inspired by Mussel Byssus Threads
journal, December 2011

  • Claussen, Kai U.; Giesa, Reiner; Scheibel, Thomas
  • Macromolecular Rapid Communications, Vol. 33, Issue 3
  • DOI: 10.1002/marc.201100620

Spontaneous Splay Phases in Polar Nematic Liquid Crystals
journal, June 1989


Mathematical model for self-propelled droplets driven by interfacial tension
journal, March 2016

  • Nagai, Ken H.; Tachibana, Kunihito; Tobe, Yuta
  • The Journal of Chemical Physics, Vol. 144, Issue 11
  • DOI: 10.1063/1.4943582

Mechanism of shape determination in motile cells
journal, May 2008

  • Keren, Kinneret; Pincus, Zachary; Allen, Greg M.
  • Nature, Vol. 453, Issue 7194
  • DOI: 10.1038/nature06952

Modeling cellular deformations using the level set formalism
journal, January 2008

  • Yang, Liu; Effler, Janet C.; Kutscher, Brett L.
  • BMC Systems Biology, Vol. 2, Issue 1
  • DOI: 10.1186/1752-0509-2-68

Self-polarization and directional motility of cytoplasm
journal, January 1999


Emergence and Persistence of Collective Cell Migration on Small Circular Micropatterns
journal, June 2015


Amoeboid Swimming: A Generic Self-Propulsion of Cells in Fluids by Means of Membrane Deformations
journal, November 2013


Designing mechano-responsive microcapsules that undergo self-propelled motion
journal, January 2012

  • Kolmakov, German V.; Schaefer, Alexander; Aranson, Igor
  • Soft Matter, Vol. 8, Issue 1
  • DOI: 10.1039/C1SM06415K

Multiple scale model for cell migration in monolayers: Elastic mismatch between cells enhances motility
journal, July 2015

  • Palmieri, Benoit; Bresler, Yony; Wirtz, Denis
  • Scientific Reports, Vol. 5, Issue 1
  • DOI: 10.1038/srep11745

A minimal physical model captures the shapes of crawling cells
journal, January 2015

  • Tjhung, E.; Tiribocchi, A.; Marenduzzo, D.
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms6420

Large-Scale Chaos and Fluctuations in Active Nematics
journal, July 2014


Soft deformable self-propelled particles
journal, September 2012


Renormalization group approach to multiscale simulation of polycrystalline materials using the phase field crystal model
journal, August 2005

  • Goldenfeld, Nigel; Athreya, Badrinarayan P.; Dantzig, Jonathan A.
  • Physical Review E, Vol. 72, Issue 2
  • DOI: 10.1103/PhysRevE.72.020601

An Extended Filament Based Lamellipodium Model Produces Various Moving Cell Shapes in the Presence of Chemotactic Signals
preprint, January 2015


Phase field formulations for modeling the Ostwald ripening in two-phase systems
journal, January 1998


Coupling actin dynamics to phase-field in modeling neural growth
journal, January 2015


Active gel physics
journal, February 2015

  • Prost, J.; Jülicher, F.; Joanny, J-F.
  • Nature Physics, Vol. 11, Issue 2
  • DOI: 10.1038/nphys3224

Crawling Cells Can Close Wounds without Purse Strings or Signaling
journal, March 2011


Signaling networks and cell motility: a computational approach using a phase field description
journal, July 2013


Model for self-polarization and motility of keratocyte fragments
journal, September 2011

  • Ziebert, Falko; Swaminathan, Sumanth; Aranson, Igor S.
  • Journal of The Royal Society Interface, Vol. 9, Issue 70
  • DOI: 10.1098/rsif.2011.0433

Living liquid crystals
journal, January 2014

  • Zhou, S.; Sokolov, A.; Lavrentovich, O. D.
  • Proceedings of the National Academy of Sciences, Vol. 111, Issue 4
  • DOI: 10.1073/pnas.1321926111

Living Liquid Crystals
journal, January 2014


Phase-field modeling on morphological landscape of isotactic polystyrene single crystals
journal, July 2005


A mechanism for cell motility by active polar gels
journal, June 2015

  • Marth, W.; Praetorius, S.; Voigt, A.
  • Journal of The Royal Society Interface, Vol. 12, Issue 107
  • DOI: 10.1098/rsif.2015.0161

Transient Frictional Slip between Integrin and the ECM in Focal Adhesions under Myosin II Tension
journal, July 2010


Generic theory of active polar gels: a paradigm for cytoskeletal dynamics
journal, January 2005


Coupling actin flow, adhesion, and morphology in a computational cell motility model
journal, April 2012

  • Shao, D.; Levine, H.; Rappel, W. -J.
  • Proceedings of the National Academy of Sciences, Vol. 109, Issue 18
  • DOI: 10.1073/pnas.1203252109

Phase-field model for Hele-Shaw flows with arbitrary viscosity contrast. I. Theoretical approach
journal, August 1999


Active behavior of the Cytoskeleton
journal, September 2007


Mechanism of cell rear retraction in migrating cells
journal, October 2013


Continuum field description of crack propagation
text, January 2000


Chemotaxis: A Feedback-Based Computational Model Robustly Predicts Multiple Aspects of Real Cell Behaviour
journal, May 2011


Computation of geometric partial differential equations and mean curvature flow
journal, April 2005


Causes of retrograde flow in fish keratocytes: Causes of Retrograde Flow in Fish Keratocytes
journal, November 2013

  • Fuhs, Thomas; Goegler, Michael; Brunner, Claudia A.
  • Cytoskeleton, Vol. 71, Issue 1
  • DOI: 10.1002/cm.21151

A microscopic field theoretical approach for active systems
journal, July 2016


The composition and dynamics of cell-substratum adhesions in locomoting fish keratocytes
journal, November 1997


A mechanical function of myosin II in cell motility
journal, January 1995

  • Jay, Patrick Y.; Pham, Peter A.; Wong, Scott A.
  • Journal of Cell Science, Vol. 108, Issue 1
  • DOI: 10.1242/jcs.108.1.387

Works referencing / citing this record:

Phase-Field Modeling of Individual and Collective Cell Migration
journal, December 2019


Stability of Contraction-Driven Cell Motion
text, January 2021


Modeling random crawling, membrane deformation and intracellular polarity of motile amoeboid cells
text, January 2020


Non-Gaussianity, population heterogeneity, and transient superdiffusion in the spreading dynamics of amoeboid cells
journal, January 2018

  • Cherstvy, Andrey G.; Nagel, Oliver; Beta, Carsten
  • Physical Chemistry Chemical Physics, Vol. 20, Issue 35
  • DOI: 10.1039/c8cp04254c

Tuning Cell Motility via Cell Tension with a Mechanochemical Cell Migration Model
journal, June 2020


Modeling the mechanosensitivity of fast-crawling cells on cyclically stretched substrates
journal, January 2019

  • Molina, John J.; Yamamoto, Ryoichi
  • Soft Matter, Vol. 15, Issue 4
  • DOI: 10.1039/c8sm01903g

Spontaneous spatiotemporal ordering of shape oscillations enhances cell migration
journal, January 2019

  • Campo, Matteo; Schnyder, Simon K.; Molina, John J.
  • Soft Matter, Vol. 15, Issue 24
  • DOI: 10.1039/c9sm00526a

Rotating lamellipodium waves in polarizing cells
journal, November 2018


Substrate-rigidity dependent migration of an idealized twitching bacterium
journal, March 2019

  • Simsek, Ahmet Nihat; Braeutigam, Andrea; Koch, Matthias D.
  • Soft Matter
  • DOI: 10.1101/581348

Modeling random crawling, membrane deformation and intracellular polarity of motile amoeboid cells
journal, August 2018


Modeling random crawling, membrane deformation and intracellular polarity of motile amoeboid cells
journal, August 2018


Cellular Response to Surface Morphology: Electrospinning and Computational Modeling
journal, October 2018

  • Denchai, Anna; Tartarini, Daniele; Mele, Elisa
  • Frontiers in Bioengineering and Biotechnology, Vol. 6
  • DOI: 10.3389/fbioe.2018.00155

Tuning cell motility via cell tension with a mechanochemical cell migration model
journal, November 2019

  • Tao, K.; Wang, J.; Kuang, X.
  • Biophysical Journal
  • DOI: 10.1101/847046

Cellular Response to Surface Morphology: Electrospinning and Computational Modeling
journal, October 2018

  • Denchai, Anna; Tartarini, Daniele; Mele, Elisa
  • Frontiers in Bioengineering and Biotechnology, Vol. 6
  • DOI: 10.3389/fbioe.2018.00155

Three-dimensional simulation of obstacle-mediated chemotaxis
journal, May 2018


Substrate-rigidity dependent migration of an idealized twitching bacterium
journal, January 2019

  • Simsek, Ahmet Nihat; Braeutigam, Andrea; Koch, Matthias D.
  • Soft Matter, Vol. 15, Issue 30
  • DOI: 10.1039/c9sm00541b

Confinement and substrate topography control cell migration in a 3D computational model
journal, July 2019


Controlled Propagation and Jamming of a Delamination Front
preprint, January 2020


Tuning Cell Motility via Cell Tension with a Mechanochemical Cell Migration Model
journal, June 2020


Crawling and turning in a minimal reaction-diffusion cell motility model: Coupling cell shape and biochemistry
journal, January 2017


Computational models for active matter
text, January 2019