Multi-level Mathematical Models for Cell Migration in Confined Environments

[1]  Luigi Preziosi,et al.  Derivation and Application of Effective Interface Conditions for Continuum Mechanical Models of Cell Invasion through Thin Membranes , 2019, SIAM J. Appl. Math..

[2]  B. Schrefler,et al.  Evaluating the influence of mechanical stress on anticancer treatments through a multiphase porous media model. , 2017, Journal of theoretical biology.

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

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

[5]  Luigi Preziosi,et al.  Predicting the growth of glioblastoma multiforme spheroids using a multiphase porous media model , 2016, Biomechanics and Modeling in Mechanobiology.

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

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

[8]  Elliott J. Hagedorn,et al.  Traversing the basement membrane in vivo: A diversity of strategies , 2014, The Journal of cell biology.

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

[10]  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.

[11]  Luigi Preziosi,et al.  Time‐dependent traction force microscopy for cancer cells as a measure of invasiveness , 2013, Cytoskeleton.

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

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

[14]  L. Preziosi,et al.  Mechanics of tumor growth: Multiphase models, adhesion, and evolving configurations , 2011 .

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

[16]  Wesley R. Legant,et al.  Measurement of mechanical tractions exerted by cells in three-dimensional matrices , 2010, Nature Methods.

[17]  E. Lengyel.  Ovarian cancer development and metastasis. , 2010, The American journal of pathology.

[18]  S. Weiss,et al.  Breaching the basement membrane: who, when and how? , 2008, Trends in cell biology.

[19]  M. Quinn,et al.  Epithelial–mesenchymal interconversions in normal ovarian surface epithelium and ovarian carcinomas: An exception to the norm , 2007, Journal of cellular physiology.

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

[21]  R. Kalluri.  Basement membranes: structure, assembly and role in tumour angiogenesis , 2003, Nature reviews. Cancer.

[22]  L. Preziosi,et al.  Modelling Solid Tumor Growth Using the Theory of Mixtures , 2001, Mathematical medicine and biology : a journal of the IMA.

[23]  M. Dembo,et al.  Stresses at the cell-to-substrate interface during locomotion of fibroblasts. , 1999, Biophysical journal.

[24]  A. Huber,et al.  Disruption of the subendothelial basement membrane during neutrophil diapedesis in an in vitro construct of a blood vessel wall. , 1989, The Journal of clinical investigation.

[25]  R. Waugh,et al.  Elastic area compressibility modulus of red cell membrane. , 1976, Biophysical journal.

[26]  Luigi Preziosi,et al.  A Cellular Potts Model for Analyzing Cell Migration across Constraining Pillar Arrays , 2021, Axioms.

[27]  G. Gerlitz,et al.  The role of chromatin structure in cell migration. , 2011, Trends in cell biology.

[28]  L. Preziosi,et al.  Mechanical aspects of tumour growth: Multiphase modelling, adhesion, and evolving natural configurations , 2011 .

[29]  Luigi Preziosi,et al.  Individual Cell-Based Model for In-Vitro Mesothelial Invasion of Ovarian Cancer , 2010 .

[30]  C. Verdier,et al.  Traction patterns of tumor cells , 2009, Journal of mathematical biology.