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S.N. Antontsev, А.А. Papin, M.A. Tokareva, E.I. Leonova and E.A. Gridushko Izvestiya of Altai State University (1(117)) 72 (2021) https://doi.org/10.14258/izvasu(2021)1-12
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Influence of the mechanical properties of the necrotic core on the growth and remodelling of tumour spheroids
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Mark A. J. Chaplain, Chiara Giverso, Tommaso Lorenzi and Luigi Preziosi SIAM Journal on Applied Mathematics 79(5) 2011 (2019) https://doi.org/10.1137/19M124263X
How Nucleus Mechanics and ECM Microstructure Influence the Invasion of Single Cells and Multicellular Aggregates
A Measure-Theoretic Model for Collective Cell Migration and Aggregation
A. Colombi, M. Scianna, L. Preziosi, A. Stephanou and V. Volpert Mathematical Modelling of Natural Phenomena 10(1) 4 (2015) https://doi.org/10.1051/mmnp/201510101
A stable scheme for a nonlinear, multiphase tumor growth model with an elastic membrane
Ying Chen, Steven M. Wise, Vivek B. Shenoy and John S. Lowengrub International Journal for Numerical Methods in Biomedical Engineering 30(7) 726 (2014) https://doi.org/10.1002/cnm.2624
Tumor growth in complex, evolving microenvironmental geometries: A diffuse domain approach
Dumitru Trucu and Mark A. J. Chaplain Springer Proceedings in Mathematics & Statistics, Managing Complexity, Reducing Perplexity 67 45 (2014) https://doi.org/10.1007/978-3-319-03759-2_5
Multiphase modelling of vascular tumour growth in two spatial dimensions
Haralampos Hatzikirou, Arnaud Chauviere, Amy L. Bauer, André Leier, Michael T. Lewis, Paul Macklin, Tatiana T. Marquez‐Lago, Elaine L. Bearer and Vittorio Cristini WIREs Systems Biology and Medicine 4(1) 1 (2012) https://doi.org/10.1002/wsbm.158
A Hybrid Model Describing Different Morphologies of Tumor Invasion Fronts
Numerical simulation of a thermodynamically consistent four‐species tumor growth model
Andrea Hawkins‐Daarud, Kristoffer G. van der Zee and J. Tinsley Oden International Journal for Numerical Methods in Biomedical Engineering 28(1) 3 (2012) https://doi.org/10.1002/cnm.1467
Multispecies model of cell lineages and feedback control in solid tumors
Predictions of tumour morphological stability and evaluation against experimental observations
Kara Pham, Hermann B. Frieboes, Vittorio Cristini and John Lowengrub Journal of The Royal Society Interface 8(54) 16 (2011) https://doi.org/10.1098/rsif.2010.0194
A hybrid approach to multi-scale modelling of cancer
J. M. Osborne, A. Walter, S. K. Kershaw, et al. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 368(1930) 5013 (2010) https://doi.org/10.1098/rsta.2010.0173
Multiphase modeling of tumor growth with matrix remodeling and fibrosis
Individual Cell-Based Model for In-Vitro Mesothelial Invasion of Ovarian Cancer
C. Giverso, M. Scianna, L. Preziosi, N. Lo Buono and A. Funaro Mathematical Modelling of Natural Phenomena 5(1) 203 (2010) https://doi.org/10.1051/mmnp/20105109
Three-dimensional multispecies nonlinear tumor growth—II: Tumor invasion and angiogenesis