Modelling physical limits of migration by a kinetic model with non-local sensing

[1]  Gonzalo P. Suárez,et al.  A generic arboviral model framework for exploring trade-offs between vector control and environmental concerns. , 2020, Journal of theoretical biology.

[2]  L. Preziosi,et al.  Kinetic models with non-local sensing determining cell polarization and speed according to independent cues , 2019, Journal of Mathematical Biology.

[3]  R. Eftimie,et al.  Non-local Parabolic and Hyperbolic Models for Cell Polarisation in Heterogeneous Cancer Cell Populations , 2018, Bulletin of Mathematical Biology.

[4]  R. Plaza.  Derivation of a bacterial nutrient-taxis system with doubly degenerate cross-diffusion as the parabolic limit of a velocity-jump process , 2017, Journal of Mathematical Biology.

[5]  P. Buono,et al.  Pattern formation in a nonlocal mathematical model for the multiple roles of the TGF-β pathway in tumour dynamics. , 2017, Mathematical biosciences.

[6]  C. Giverso,et al.  How Nucleus Mechanics and ECM Microstructure Influence the Invasion of Single Cells and Multicellular Aggregates , 2017, Bulletin of Mathematical Biology.

[7]  Kelin Xia,et al.  Multiscale Persistent Functions for Biomolecular Structure Characterization , 2016, Bulletin of Mathematical Biology.

[8]  K. Painter,et al.  A space-jump derivation for non-local models of cell–cell adhesion and non-local chemotaxis , 2016, Journal of Mathematical Biology.

[9]  Luigi Preziosi,et al.  Plasticity of Cell Migration In Vivo and In Silico. , 2016, Annual review of cell and developmental biology.

[10]  Paolo P. Provenzano,et al.  Multiscale Cues Drive Collective Cell Migration , 2016, Scientific Reports.

[11]  L. Preziosi,et al.  Coherent modelling switch between pointwise and distributed representations of cell aggregates , 2016, Journal of Mathematical Biology.

[12]  C. Schmeiser,et al.  Aggregated steady states of a kinetic model for chemotaxis , 2016, 1601.07712.

[13]  Luigi Preziosi,et al.  A multiphase model of tumour segregation in situ by a heterogeneous extracellular matrix , 2015 .

[14]  J A Sherratt,et al.  A Nonlocal Model for Contact Attraction and Repulsion in Heterogeneous Cell Populations , 2015, Bulletin of Mathematical Biology.

[15]  J. Carrillo,et al.  Non-local kinetic and macroscopic models for self-organised animal aggregations , 2014, 1407.2099.

[16]  J. Lammerding,et al.  Nuclear Deformability Constitutes a Rate-Limiting Step During Cell Migration in 3-D Environments , 2014, Cellular and molecular bioengineering.

[17]  L. Preziosi,et al.  A cellular Potts model for the MMP-dependent and -independent cancer cell migration in matrix microtracks of different dimensions , 2014 .

[18]  L. Preziosi,et al.  A cellular Potts model for the MMP-dependent and -independent cancer cell migration in matrix microtracks of different dimensions , 2013, Computational Mechanics.

[19]  C. Giverso,et al.  Influence of nucleus deformability on cell entry into cylindrical structures , 2013, Biomechanics and Modeling in Mechanobiology.

[20]  S. Weiss,et al.  Physical limits of cell migration: Control by ECM space and nuclear deformation and tuning by proteolysis and traction force , 2013, The Journal of cell biology.

[21]  L. Preziosi,et al.  Modeling the influence of nucleus elasticity on cell invasion in fiber networks and microchannels. , 2013, Journal of theoretical biology.

[22]  L. Preziosi,et al.  A Cellular Potts Model simulating cell migration on and in matrix environments. , 2012, Mathematical biosciences and engineering : MBE.

[23]  Luigi Preziosi,et al.  Differentiated cell behavior: a multiscale approach using measure theory , 2011, Journal of mathematical biology.

[24]  R. Eftimie.  Hyperbolic and kinetic models for self-organized biological aggregations and movement: a brief review , 2011, Journal of Mathematical Biology.

[25]  Jan Lammerding,et al.  Nuclear mechanics during cell migration. , 2011, Current opinion in cell biology.

[26]  Paolo Frasca,et al.  Existence and approximation of probability measure solutions to models of collective behaviors , 2010, Networks Heterog. Media.

[27]  Robert D. Goldman,et al.  Actin, microtubules, and vimentin intermediate filaments cooperate for elongation of invadopodia , 2010, The Journal of cell biology.

[28]  I. Nabi,et al.  Pseudopodial actin dynamics control epithelial-mesenchymal transition in metastatic cancer cells. , 2010, Cancer research.

[29]  Douglas A Lauffenburger,et al.  Microarchitecture of three-dimensional scaffolds influences cell migration behavior via junction interactions. , 2008, Biophysical journal.

[30]  Bertrand Lods,et al.  Equilibrium Solution to the Inelastic Boltzmann Equation Driven by a Particle Bath , 2008, 0805.3283.

[31]  Luigi Preziosi,et al.  Modelling the motion of a cell population in the extracellular matrix , 2007 .

[32]  M. Stack,et al.  Multi-step pericellular proteolysis controls the transition from individual to collective cancer cell invasion , 2007, Nature Cell Biology.

[33]  K. Painter,et al.  A continuum approach to modelling cell-cell adhesion. , 2006, Journal of theoretical biology.

[34]  C. Schmeiser,et al.  Global existence for chemotaxis with finite sampling radius , 2006 .

[35]  D. Lauffenburger,et al.  Migration of tumor cells in 3D matrices is governed by matrix stiffness along with cell-matrix adhesion and proteolysis. , 2006, Proceedings of the National Academy of Sciences of the United States of America.

[36]  T. Hillen.  M5 mesoscopic and macroscopic models for mesenchymal motion , 2006, Journal of mathematical biology.

[37]  Bertrand Lods,et al.  Semigroup generation propertiesof streaming operators with noncontractive boundary conditions , 2005, Math. Comput. Model..

[38]  Shelly R. Peyton,et al.  Extracellular matrix rigidity governs smooth muscle cell motility in a biphasic fashion , 2005, Journal of cellular physiology.

[39]  B. Lods.  Semigroup generation properties of streaming operators with non--contractive boundary conditions , 2004, math/0412402.

[40]  R. Pettersson.  On Solutions to the Linear Boltzmann Equation for Granular Gases , 2004 .

[41]  Kevin J Painter,et al.  Modelling the movement of interacting cell populations. , 2003, Journal of theoretical biology.

[42]  P. Devreotes,et al.  Eukaryotic Chemotaxis: Distinctions between Directional Sensing and Polarization* , 2003, Journal of Biological Chemistry.

[43]  Hans G. Othmer,et al.  Aggregation, Blowup, and Collapse: The ABC's of Taxis in Reinforced Random Walks , 1997, SIAM J. Appl. Math..

[44]  S. Goodman,et al.  The E8 subfragment of laminin promotes locomotion of myoblasts over extracellular matrix , 1989, The Journal of cell biology.

[45]  H. Berg,et al.  Adaptation kinetics in bacterial chemotaxis , 1983, Journal of bacteriology.

[46]  W. Alt.  Biased random walk models for chemotaxis and related diffusion approximations , 1980, Journal of mathematical biology.

[47]  Daniel W. Stroock,et al.  Some stochastic processes which arise from a model of the motion of a bacterium , 1974 .

[48]  J. Adler.  Chemotaxis in Bacteria , 1966, Science.

[49]  Luigi Preziosi,et al.  MODELING THE MOTION OF A CELL POPULATION IN THE , 2007 .

[50]  K. Painter,et al.  Volume-filling and quorum-sensing in models for chemosensitive movement , 2002 .

[51]  H. Othmer,et al.  The Diffusion Limit of Transport Equations II: Chemotaxis Equations , 2002, SIAM J. Appl. Math..

[52]  Hans G. Othmer,et al.  The Diffusion Limit of Transport Equations Derived from Velocity-Jump Processes , 2000, SIAM J. Appl. Math..

[53]  H. Othmer,et al.  Models of dispersal in biological systems , 1988, Journal of mathematical biology.

[54]  C. Cercignani.  The Boltzmann equation and its applications , 1988 .

[55]  M. Abercrombie,et al.  Observations on the social behaviour of cells in tissue culture. I. Speed of movement of chick heart fibroblasts in relation to their mutual contacts. , 1953, Experimental cell research.

[56]  Politecnico,et al.  Networks and Heterogeneous Media Modeling Cell Movement in Anisotropic and Heterogeneous Network Tissues , 2022 .