Ariel, G.; Ayali, A.; Be’er, A.; Knebel, D. Variability and heterogeneity in natural swarms: experiments and modeling. (English) Zbl 1504.92178 Bellomo, Nicola (ed.) et al., Active particles. Volume 3. Advances in theory, models, and applications. Cham: Birkhäuser. Model. Simul. Sci. Eng. Technol., 1-33 (2022). MSC: 92D50 35Q92 PDF BibTeX XML Cite \textit{G. Ariel} et al., in: Active particles. Volume 3. Advances in theory, models, and applications. Cham: Birkhäuser. 1--33 (2022; Zbl 1504.92178) Full Text: DOI
Dietrich, Anne; Kolbe, Niklas; Sfakianakis, Nikolaos; Surulescu, Christina Multiscale modeling of glioma invasion: from receptor binding to flux-limited macroscopic PDEs. (English) Zbl 1493.92010 Multiscale Model. Simul. 20, No. 2, 685-713 (2022). MSC: 92C17 92C50 35M10 35Q92 PDF BibTeX XML Cite \textit{A. Dietrich} et al., Multiscale Model. Simul. 20, No. 2, 685--713 (2022; Zbl 1493.92010) Full Text: DOI arXiv
Conte, Martina; Loy, Nadia Multi-cue kinetic model with non-local sensing for cell migration on a fiber network with chemotaxis. (English) Zbl 1489.35286 Bull. Math. Biol. 84, No. 3, Paper No. 42, 46 p. (2022). Reviewer: Philippe Laurençot (Toulouse) MSC: 35Q92 45K05 92C17 82C40 PDF BibTeX XML Cite \textit{M. Conte} and \textit{N. Loy}, Bull. Math. Biol. 84, No. 3, Paper No. 42, 46 p. (2022; Zbl 1489.35286) Full Text: DOI arXiv
Zhigun, Anna; Surulescu, Christina A novel derivation of rigorous macroscopic limits from a micro-meso description of signal-triggered cell migration in fibrous environments. (English) Zbl 1483.35295 SIAM J. Appl. Math. 82, No. 1, 142-167 (2022). MSC: 35Q92 35B27 35D30 35Q49 45K05 92C17 92D25 PDF BibTeX XML Cite \textit{A. Zhigun} and \textit{C. Surulescu}, SIAM J. Appl. Math. 82, No. 1, 142--167 (2022; Zbl 1483.35295) Full Text: DOI arXiv
Loy, Nadia; Zanella, Mattia Structure preserving schemes for Fokker-Planck equations with nonconstant diffusion matrices. (English) Zbl 07429005 Math. Comput. Simul. 188, 342-362 (2021). MSC: 65-XX 82-XX PDF BibTeX XML Cite \textit{N. Loy} and \textit{M. Zanella}, Math. Comput. Simul. 188, 342--362 (2021; Zbl 07429005) Full Text: DOI arXiv
Corbin, Gregor; Klar, Axel; Surulescu, Christina; Engwer, Christian; Wenske, Michael; Nieto, Juanjo; Soler, Juan Modeling glioma invasion with anisotropy- and hypoxia-triggered motility enhancement: from subcellular dynamics to macroscopic PDEs with multiple taxis. (English) Zbl 1473.92007 Math. Models Methods Appl. Sci. 31, No. 1, 177-222 (2021). MSC: 92-10 92C17 35Q92 PDF BibTeX XML Cite \textit{G. Corbin} et al., Math. Models Methods Appl. Sci. 31, No. 1, 177--222 (2021; Zbl 1473.92007) Full Text: DOI arXiv
Kolbe, Niklas; Sfakianakis, Nikolaos; Stinner, Christian; Surulescu, Christina; Lenz, Jonas Modeling multiple taxis: tumor invasion with phenotypic heterogeneity, haptotaxis, and unilateral interspecies repellence. (English) Zbl 1467.35323 Discrete Contin. Dyn. Syst., Ser. B 26, No. 1, 443-481 (2021). Reviewer: Yaroslav Baranetskij (Lviv) MSC: 35Q92 92C17 92C37 35K55 35A01 35D30 92-08 PDF BibTeX XML Cite \textit{N. Kolbe} et al., Discrete Contin. Dyn. Syst., Ser. B 26, No. 1, 443--481 (2021; Zbl 1467.35323) Full Text: DOI arXiv
Blavatska, Viktoria On the shape of invading population in anisotropic environments. (English) Zbl 1468.92021 Math. Model. Nat. Phenom. 15, Paper No. 4, 12 p. (2020). MSC: 92C17 92D40 60G50 PDF BibTeX XML Cite \textit{V. Blavatska}, Math. Model. Nat. Phenom. 15, Paper No. 4, 12 p. (2020; Zbl 1468.92021) Full Text: DOI arXiv
Shuttleworth, Robyn; Trucu, Dumitru Cell-scale degradation of peritumoural extracellular matrix fibre network and its role within tissue-scale cancer invasion. (English) Zbl 1444.92028 Bull. Math. Biol. 82, No. 6, Paper No. 65, 47 p. (2020). MSC: 92C32 92C37 35Q92 PDF BibTeX XML Cite \textit{R. Shuttleworth} and \textit{D. Trucu}, Bull. Math. Biol. 82, No. 6, Paper No. 65, 47 p. (2020; Zbl 1444.92028) Full Text: DOI arXiv
Loy, Nadia; Preziosi, Luigi Modelling physical limits of migration by a kinetic model with non-local sensing. (English) Zbl 1434.92014 J. Math. Biol. 80, No. 6, 1759-1801 (2020). MSC: 92C17 35Q92 PDF BibTeX XML Cite \textit{N. Loy} and \textit{L. Preziosi}, J. Math. Biol. 80, No. 6, 1759--1801 (2020; Zbl 1434.92014) Full Text: DOI arXiv
Giniūnaitė, Rasa; Baker, Ruth E.; Kulesa, Paul M.; Maini, Philip K. Modelling collective cell migration: neural crest as a model paradigm. (English) Zbl 1432.92016 J. Math. Biol. 80, No. 1-2, 481-504 (2020). MSC: 92C17 92C20 PDF BibTeX XML Cite \textit{R. Giniūnaitė} et al., J. Math. Biol. 80, No. 1--2, 481--504 (2020; Zbl 1432.92016) Full Text: DOI
Loy, Nadia; Preziosi, Luigi Kinetic models with non-local sensing determining cell polarization and speed according to independent cues. (English) Zbl 1432.92020 J. Math. Biol. 80, No. 1-2, 373-421 (2020). MSC: 92C17 92C37 35Q92 PDF BibTeX XML Cite \textit{N. Loy} and \textit{L. Preziosi}, J. Math. Biol. 80, No. 1--2, 373--421 (2020; Zbl 1432.92020) Full Text: DOI arXiv
Conte, Martina; Gerardo-Giorda, Luca; Groppi, Maria Glioma invasion and its interplay with nervous tissue and therapy: a multiscale model. (English) Zbl 1429.92052 J. Theor. Biol. 486, Article ID 110088, 17 p. (2020). MSC: 92C32 92C17 92C15 92C50 35Q92 PDF BibTeX XML Cite \textit{M. Conte} et al., J. Theor. Biol. 486, Article ID 110088, 17 p. (2020; Zbl 1429.92052) Full Text: DOI
Shuttleworth, Robyn; Trucu, Dumitru Multiscale dynamics of a heterotypic cancer cell population within a fibrous extracellular matrix. (English) Zbl 1429.92058 J. Theor. Biol. 486, Article ID 110040, 22 p. (2020). MSC: 92C32 92C17 35Q92 PDF BibTeX XML Cite \textit{R. Shuttleworth} and \textit{D. Trucu}, J. Theor. Biol. 486, Article ID 110040, 22 p. (2020; Zbl 1429.92058) Full Text: DOI arXiv Link
Shuttleworth, Robyn; Trucu, Dumitru Multiscale modelling of fibres dynamics and cell adhesion within moving boundary cancer invasion. (English) Zbl 1417.92029 Bull. Math. Biol. 81, No. 7, 2176-2219 (2019). MSC: 92C17 92-08 PDF BibTeX XML Cite \textit{R. Shuttleworth} and \textit{D. Trucu}, Bull. Math. Biol. 81, No. 7, 2176--2219 (2019; Zbl 1417.92029) Full Text: DOI arXiv
Berlyand, Leonid (ed.); Fuhrmann, Jan (ed.); Marciniak-Czochra, Anna (ed.); Surulescu, Christina (ed.) Mini-workshop: PDE models of motility and invasion in active biosystems. Abstracts from the mini-workshop held October 22–28, 2017. (English) Zbl 1409.00069 Oberwolfach Rep. 14, No. 4, 2907-2942 (2017). MSC: 00B05 00B25 92C17 92C37 35Q92 92-06 PDF BibTeX XML Cite \textit{L. Berlyand} (ed.) et al., Oberwolfach Rep. 14, No. 4, 2907--2942 (2017; Zbl 1409.00069) Full Text: DOI
Delitala, Marcello; Lorenzi, Tommaso Emergence of spatial patterns in a mathematical model for the co-culture dynamics of epithelial-like and mesenchymal-like cells. (English) Zbl 1361.92010 Math. Biosci. Eng. 14, No. 1, 79-93 (2017). MSC: 92C15 92C17 92C50 PDF BibTeX XML Cite \textit{M. Delitala} and \textit{T. Lorenzi}, Math. Biosci. Eng. 14, No. 1, 79--93 (2017; Zbl 1361.92010) Full Text: DOI
Peurichard, D. Macroscopic model for cross-linked fibers with alignment interactions: existence theory and numerical simulations. (English) Zbl 1366.35202 Multiscale Model. Simul. 14, No. 4, 1175-1210 (2016). Reviewer: Dominik Strzałka (Rzeszów) MSC: 35Q92 82C40 82C22 82C31 82C70 92C10 92C17 82-08 PDF BibTeX XML Cite \textit{D. Peurichard}, Multiscale Model. Simul. 14, No. 4, 1175--1210 (2016; Zbl 1366.35202) Full Text: DOI
Dyson, R. J.; Green, J. E. F.; Whiteley, J. P.; Byrne, H. M. An investigation of the influence of extracellular matrix anisotropy and cell-matrix interactions on tissue architecture. (English) Zbl 1341.92007 J. Math. Biol. 72, No. 7, 1775-1809 (2016). MSC: 92C10 92C15 92C17 35Q92 92C37 PDF BibTeX XML Cite \textit{R. J. Dyson} et al., J. Math. Biol. 72, No. 7, 1775--1809 (2016; Zbl 1341.92007) Full Text: DOI
Engwer, Christian; Hillen, Thomas; Knappitsch, Markus; Surulescu, Christina Glioma follow white matter tracts: a multiscale DTI-based model. (English) Zbl 1343.92072 J. Math. Biol. 71, No. 3, 551-582 (2015). Reviewer: Fatima T. Adylova (Tashkent) MSC: 92C17 92C50 35Q92 PDF BibTeX XML Cite \textit{C. Engwer} et al., J. Math. Biol. 71, No. 3, 551--582 (2015; Zbl 1343.92072) Full Text: DOI
Stéphanou, A.; Le Floc’h, S.; Chauviére, A. A hybrid model to test the importance of mechanical cues driving cell migration in angiogenesis. (English) Zbl 1314.35198 Math. Model. Nat. Phenom. 10, No. 1, 142-166 (2015). MSC: 35Q92 65M06 92C10 92C15 92C17 PDF BibTeX XML Cite \textit{A. Stéphanou} et al., Math. Model. Nat. Phenom. 10, No. 1, 142--166 (2015; Zbl 1314.35198) Full Text: DOI Link
Deutsch, Andreas (ed.); Hillen, Thomas (ed.); Surulescu, Christina (ed.); Winkler, Michael (ed.) Mini-workshop: Mathematical models for cancer cell migration. Abstracts from the mini-workshop held April 13–19, 2014. (English) Zbl 1349.00141 Oberwolfach Rep. 11, No. 2, 1075-1109 (2014). MSC: 00B05 00B25 92-06 92C17 35Q92 PDF BibTeX XML Cite \textit{A. Deutsch} (ed.) et al., Oberwolfach Rep. 11, No. 2, 1075--1109 (2014; Zbl 1349.00141) Full Text: DOI
Lorenz, Thomas; Surulescu, Christina On a class of multiscale cancer cell migration models: well-posedness in less regular function spaces. (English) Zbl 1300.92016 Math. Models Methods Appl. Sci. 24, No. 12, 2383-2436 (2014). MSC: 92C17 92C50 35Q82 45K05 PDF BibTeX XML Cite \textit{T. Lorenz} and \textit{C. Surulescu}, Math. Models Methods Appl. Sci. 24, No. 12, 2383--2436 (2014; Zbl 1300.92016) Full Text: DOI
Hillen, Thomas; Painter, Kevin J. Transport and anisotropic diffusion models for movement in oriented habitats. (English) Zbl 1347.92065 Lewis, Mark A. (ed.) et al., Dispersal, individual movement and spatial ecology. A mathematical perspective. Berlin: Springer (ISBN 978-3-642-35496-0/hbk; 978-3-642-35497-7/ebook). Lecture Notes in Mathematics 2071. Mathematical Biosciences Subseries, 177-222 (2013). MSC: 92D25 92D50 35K57 PDF BibTeX XML Cite \textit{T. Hillen} and \textit{K. J. Painter}, Lect. Notes Math. 2071, 177--222 (2013; Zbl 1347.92065) Full Text: DOI
Painter, K. J.; Hillen, T. Mathematical modelling of glioma growth: the use of diffusion tensor imaging (DTI) data to predict the anisotropic pathways of cancer invasion. (English) Zbl 1314.92083 J. Theor. Biol. 323, 25-39 (2013). MSC: 92C50 92C55 PDF BibTeX XML Cite \textit{K. J. Painter} and \textit{T. Hillen}, J. Theor. Biol. 323, 25--39 (2013; Zbl 1314.92083) Full Text: DOI
Meral, Gülnihal; Surulescu, Christina Mathematical modelling, analysis and numerical simulations for the influence of heat shock proteins on tumour invasion. (English) Zbl 1306.92026 J. Math. Anal. Appl. 408, No. 2, 597-614 (2013). MSC: 92C50 35Q92 PDF BibTeX XML Cite \textit{G. Meral} and \textit{C. Surulescu}, J. Math. Anal. Appl. 408, No. 2, 597--614 (2013; Zbl 1306.92026) Full Text: DOI
Märkl, Christian; Meral, Gülnihal; Surulescu, Christina Mathematical analysis and numerical simulations for a system modeling acid-mediated tumor cell invasion. (English) Zbl 1268.92067 Int. J. Anal. 2013, Article ID 878051, 15 p. (2013). MSC: 92C50 92-08 PDF BibTeX XML Cite \textit{C. Märkl} et al., Int. J. Anal. 2013, Article ID 878051, 15 p. (2013; Zbl 1268.92067) Full Text: DOI
Kelkel, Jan; Surulescu, Christina A multiscale approach to cell migration in tissue networks. (English) Zbl 1241.92041 Math. Models Methods Appl. Sci. 22, No. 3, 1150017, 25 p. (2012). MSC: 92C50 92C37 92C17 74A25 45K05 74S99 65R99 PDF BibTeX XML Cite \textit{J. Kelkel} and \textit{C. Surulescu}, Math. Models Methods Appl. Sci. 22, No. 3, 1150017, 25 p. (2012; Zbl 1241.92041) Full Text: DOI
Häcker, Anita A mathematical model for mesenchymal and chemosensitive cell dynamics. (English) Zbl 1284.92018 J. Math. Biol. 64, No. 1-2, 361-401 (2012). MSC: 92C17 35Q92 76Z99 PDF BibTeX XML Cite \textit{A. Häcker}, J. Math. Biol. 64, No. 1--2, 361--401 (2012; Zbl 1284.92018) Full Text: DOI
Stefanoni, Filippo; Ventre, Maurizio; Mollica, Francesco; Netti, Paolo A. A numerical model for durotaxis. (English) Zbl 1397.92103 J. Theor. Biol. 280, 150-158 (2011). MSC: 92C17 PDF BibTeX XML Cite \textit{F. Stefanoni} et al., J. Theor. Biol. 280, 150--158 (2011; Zbl 1397.92103) Full Text: DOI HAL
Scianna, Marco; Merks, Roeland M. H.; Preziosi, Luigi; Medico, Enzo Individual cell-based models of cell scatter of ARO and MLP-29 cells in response to hepatocyte growth factor. (English) Zbl 1402.92160 J. Theor. Biol. 260, No. 1, 151-160 (2009). MSC: 92C37 92C17 35Q92 PDF BibTeX XML Cite \textit{M. Scianna} et al., J. Theor. Biol. 260, No. 1, 151--160 (2009; Zbl 1402.92160) Full Text: DOI
Painter, K. J. Modelling cell migration strategies in the extracellular matrix. (English) Zbl 1311.92041 J. Math. Biol. 58, No. 4-5, 511-543 (2009). MSC: 92C17 PDF BibTeX XML Cite \textit{K. J. Painter}, J. Math. Biol. 58, No. 4--5, 511--543 (2009; Zbl 1311.92041) Full Text: DOI