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Cancer modelling
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Cancer modelling
Modelli di crescita tumorale
  1. L. Preziosi, G. Toscani, M. Zanella. Optimal control of tumor growth distributions through kinetic methods, J. Theor. Biol. 514: 110579 (2021).
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  2. M.A.J Chaplain, C. Giverso, T. Lorenzi, L. Preziosi. Derivation and application of effective interface conditions for continuum mechanical models of cell invasion through thin membranes, SIAM J. Appl. Math. 79: 2011-2031 (2019).
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  3. C. Giverso, L. Preziosi. Influence of the mechanical properties of the necrotic core on the growth and remodelling of tumour spheroids, Int. J. Nonlinear Mech. 108: 20-32 (2019).
  4. C. Giverso, A. Arduino, L. Preziosi. How nucleus mechanics and ECM topology influence the invasion of single cells and multicellular aggregates, Bull. Math. Biol. 80: 1017-1045 (2018).
  5. P. Mascheroni, D. Boso, L. Preziosi, B.A. Schrefler. Evaluating the influence of mechanical stress on anticancer treatments through a multiphase porous media model, J. Theor. Biol. 421: 179--188 (2017). doi: 10.1016/j.jtbi.2017.03.027
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  6. A. Ramirez-Torres, R. Rodriguez-Ramos, F.J. Sabina, C. Garcia-Reimbert, R. Penta, J. Merodio, R. Guinovart-Diaz, J. Bravo-Castillero, A. Conci, L. Preziosi. The role of malignant tissue on the thermal distribution of cancerous breast, J. Theor. Biol. 426: 1339-1351 (2017).
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  7. P. Mascheroni, C. Stigliano, M. Carfagna, D.P. Boso, L. Preziosi, P. Decuzzi, B.A. Schrefler, Predicting the growth of glioblastoma multiforme spheroids using a multiphase porous media, Biomech. Model. Mechanobiol. 15: 1215-1228 (2016).
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  8. A. Arduino, L. Preziosi. A multiphase model of tumour segregation in situ by a heterogeneous extracellular matrix, Int. J. Non-Linear Mech., 75: 22-30, 2015.
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  9. S.M. Mumenthaler, G. D'Antonio, L. Preziosi, P. Macklin. The need for integrative computational oncology: An illustrated example through MMP-mediated tissue degradation, Front. Oncol., 3: 194, 2013.
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  10. V. Balanica, I. Dumitrache, L. Preziosi. Breast cancer diagnosis based on spiculation feature and neural network techniques, Int. J. Comp. Comm. Control, 8: 353-365, 2013.
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  11. P. Ciarletta, D. Ambrosi, G.A. Maugin, L. Preziosi. Mechano-transduction in tumour growth modelling, Eur. Phys. J. E, 36: 23-31, 2013.
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  12. E. Karathanasis, A. Cervadoro, C. Giverso, R. Pande, S. Sarangi, L. Preziosi, J. Wosik, A. Brazdeikis, P. Decuzzi. Design maps for the hyperthermic treatment of tumors with superparamagnetic nanoparticles, Plos One, 8: e57332, 2013.
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  13. D. Ambrosi, L. Preziosi, G. Vitale. The interplay between stress and growth in solid tumors, Mech. Res. Comm., 42:87-91, 2012.
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  14. L. Preziosi, G. Vitale. A multiphase model of tumor and tissue growth including cell adhesion and plastic reorganization, Math. Models Methods Appl. Sci., 21:1901-1932, 2011.
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  15. L. Preziosi, G. Vitale. Mechanical aspects of tumour growth: Multiphase modelling, adhesion, and evolving natural configurations, in M. Ben Amar, A. Goriely, M. M. Muller, L. F. Cugliandolo, Eds., New Trends in the Physics and Mechanics of Biological Systems, p. 177-228, Lecture Notes of the Les Houches Summer School, vol. 92, Oxford University Press, 2011.
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  16. A. Tosin, L. Preziosi. Multiphase modeling of tumor growth with matrix remodeling and fibrosis, Math. Comput. Modelling, 52(7-8):969-976, 2010.
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  17. D. Ambrosi, L. Preziosi. Cell adhesion mechanisms and stress relaxation in the mechanics of tumours, Biomech. Model. Mechanobiol., 8(5):397-413, 2009.
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  18. S. Astanin, L. Preziosi. Mathematical modelling of the Warburg effect in tumour cords, J. Theor. Biol., 258(4):578-590, 2009.
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  19. L. Preziosi, A. Tosin. Multiphase and multiscale trends in cancer modelling, Math. Model. Nat. Phenom., 4(3):1-11, 2009.
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  20. J. Galle, L. Preziosi, A. Tosin. Contact inhibition of growth described using a multiphase model and an individual cell-based model, Appl. Math. Lett., 22(10):1483-1490, 2009.
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  21. L. Preziosi, A. Tosin. Multiphase modelling of tumour growth and extracellular matrix interaction: mathematical tools and applications, J. Math. Biol., 58(4-5):625-656, 2009.
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  22. S. Astanin, L. Preziosi. Multiphase models of tumour growth, in N. Bellomo, M. Chaplain, E. De Angelis, Eds., Selected Topics in Cancer Modelling: Genesis - Evolution - Immune Competition - Therapy, Birkhauser, 2008.
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  23. J. Galle, L. Preziosi. Multiphase and individual cell-based models of tumour growth, in F. Giraldez, M. A. Herrero, Eds., Mathematics, Developmental Biology and Tumour Growth, p. 103-123, AMS Series on Contemporary Mathematics, vol. 492, 2009.
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  24. L. Graziano, L. Preziosi. Mechanics in tumor growth, in F. Mollica, K. R. Rajagopal, L. Preziosi, Eds., Modeling of Biological Materials, p. 267-328, Birkhauser, 2007.
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  25. M. Chaplain, L. Graziano, L. Preziosi. Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development, Math. Medicine Biol. 23:197-229, 2006.
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  26. L. Preziosi. Modelli matematici a sostegno della ricerca contro il cancro, Boll. UMI, Serie VIII, 8-B:55-76, 2005.
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  27. N. Bellomo, E. De Angelis, L. Preziosi. Multiscale modelling and mathematical problems related to tumor evolution and medical therapy , J. Theor. Med. 5:111-136, 2004.
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  28. H. M. Byrne, L. Preziosi. Modelling solid tumour growth using the theory of mixtures, Math. Med. Biol. 20:341-366, 2004.
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  29. L. Preziosi. Modeling tumor growth and progression, in A. Buikis, R. Ciegis, A. D. Fitt, Eds., Progress in Industrial Mathematics at ECMI 2002, p. 53-66, Springer, 2004.
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  30. H. M. Byrne, J. R. King, D. L. S. McElwain, L. Preziosi. A two-phase model of solid tumor growth, Appl. Math. Letters 16:567-573, 2003.
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  31. L. Preziosi, L. Graziano. Multiphase models of tumour growth: General framework and particular cases, in V. Capasso, Ed., Mathematical Modelling and Computing in Biology and Medicine, p. 622-628, Societa' Editrice Esculapio, 2003.
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  32. D. Ambrosi, L. Preziosi. On the closure of mass balance models for tumour growth, Math. Models Methods Appl. Sci. 12:737-754, 2002.
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  33. D. Ambrosi, N. Bellomo, L. Preziosi. Modelling tumor progression, heterogeneity, and immune competition, J. Theoret. Medicine 4:51-65, 2002.
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  34. N. Bellomo, L. Preziosi. Modelling and mathematical problems related to tumor evolution and its interaction with the immune system, Math. Comp. Model. 32:413-452, 2000.
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  35. E. De Angelis, L. Preziosi. Advection-diffusion models for solid tumour evolution in vivo and related free boundary problem, Math. Models Methods Appl. Sci. 10:379-408, 2000.
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  36. N. Bellomo, B. Firmani, L. Guerri, L. Preziosi. On a kinetic theory of cytokine-mediated interaction between tumors and immune system, ARI J. 1: 21-32, 1997.
  37. N. Bellomo, L. Preziosi, G. Forni. On a kinetic (cellular) theory for competition between tumors and the host immune system, J. Biol. Syst. 4: 479-502, 1996.
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