Tommaso Lorenzi

Journal articles

34 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, Submitted

33 M.A.J. Chaplain, T. Lorenzi, F.R. Macfarlane, Bridging the gap between individual-based and continuum models of growing cell populations, Submitted

32 L.C. Franßen, T. Lorenzi, A. Burgess, M.A.J. Chaplain, A mathematical framework for modelling the metastatic spread of cancer, Submitted

31 T. Lorenzi, A. Marciniak-Czochra, T. Stiehl, A structured population model of clonal selection in acute leukemias with multiple maturation stages, Submitted

30 L. Almeida, P. Bagnerini, G. Fabrini, B.D. Hughes, T. Lorenzi, Evolution of cancer cell populations under cytotoxic therapy and treatment optimisation: insight from a phenotype-structured model, Submitted

29 T. Lorenzi, C. Venkataraman, A. Lorz, M.A.J. Chaplain, The role of spatial variations of abiotic factors in mediating intratumour phenotypic heterogeneity, J. Theor. Biol., 451, 101-110, 2018

28 F.R. Macfarlane, T. Lorenzi, M.A.J. Chaplain, Modelling the immune response to cancer: an individual-based approach accounting for the difference in movement between inactive and activated T cells, Bull. Math. Biol., 80, 1539-1562, 2018

27 T. Lorenzi, A. Lorz, B. Perthame, On interfaces between cell populations with different mobilities, Kinet. Relat. Models, 10, 299-311, 2017

26 A.E.F. Burgess, T. Lorenzi, P.G. Schofield, S.F. Hubbard, M.A.J. Chaplain, Examining the role of individual movement in promoting coexistence in a spatially explicit prisoner's dilemma, J. Theor. Biol., 419, 323-332, 2017

25 M. Delitala, T. Lorenzi, Emergence of spatial patterns in a mathematical model for the co-culture dynamics of epithelial-like and mesenchymal-like cells, Math. Biosci. Engin., 14, 79-93, 2017

24 A.E.F. Burgess, P.G. Schofield, S.F. Hubbard, M.A.J. Chaplain, T. Lorenzi, Dynamical patterns of coexisting strategies in a hybrid discrete-continuum spatial evolutionary game model, Math. Mod. Nat. Phen., 11, 49-64, 2016

23 T. Lorenzi, R.H. Chisholm, J. Clairambault, Tracking the evolution of cancer cell populations through the mathematical lens of phenotype-structured equations, Biol. Direct, 11, 1-17, 2016

22 R.H. Chisholm, T. Lorenzi, J. Clairambault, Cell population heterogeneity and evolution towards drug resistance in cancer: biological and mathematical assessment, theoretical treatment optimisation, Biochim. Biophys. Acta, Gen. Subj., 1860, 2627-2645, 2016

21 R.H. Chisholm, T. Lorenzi, L. Desvillettes, B.D. Hughes, Evolutionary dynamics of phenotype-structured populations: from individual-level mechanisms to population-level consequences, Z. angew. Math. Phys., 67, 1-34, 2016

20 R.H. Chisholm, T. Lorenzi, A. Lorz, Effects of an advection term in nonlocal Lotka-Volterra equations, Commun. Math. Sci., 14, 1181-1188, 2016

19 T. Lorenzi, R.H. Chisholm, L. Desvillettes, B.D. Hughes, Dissecting the dynamics of epigenetic changes in phenotype-structured populations exposed to fluctuating environments, J. Theor. Biol., 386, 166-176, 2015

18 T. Lorenzi, R.H. Chisholm, M. Melensi, A. Lorz, M. Delitala, Mathematical model reveals how regulating the three phases of T-cell response could counteract immune evasion, Immunology, 46, 271-280, 2015

17 R.H. Chisholm, T. Lorenzi, A. Lorz, A.K. Larsen, L. Neves de Almeida, A. Escargueil, J. Clairambault, Emergence of drug tolerance in cancer cell populations: an evolutionary outcome of selection, non-genetic instability and stress-induced adaptation, Cancer Res., 75, 930-939, 2015

16 C.J. Torney, T. Lorenzi, I.D. Couzin, S.A. Levin, Social information use and the evolution of unresponsiveness in collective systems, J. R. Soc. Interface, 12(103), 20140893, 2015

15 A. Lorz, T. Lorenzi, J. Clairambault, A. Escargueil, B. Perthame, Modeling the effects of space structure and combination therapies on phenotypic heterogeneity and drug resistance in solid tumors, Bull. Math. Biol., 77, 1-22, 2015

14 E. Faggiano, T. Lorenzi, A. Quarteroni, Metal artifact reduction in computed tomography images by a fourth-order total variation flow, CMBBE: Imaging & Visualization, DOI: 10.1080/21681163.2014.940629, 2014

13 G. Dimitriu, T. Lorenzi, R. Stefanescu, Evolutionary dynamics of cancer cell populations under immune selection pressure and optimal control of chemotherapy, Math. Mod. Nat. Phen., 9, 88-104, 2014

12 M. Delitala, T. Lorenzi, A mathematical model for value estimation with public information and herding, Kinet. Relat. Models, 7, 29-44, 2014

11 M. Delitala, T. Lorenzi, Evolutionary branching patterns in predator-prey structured populations, Disc. Cont. Dyn. Syst. B, 18, 2267-2282, 2013

10 T. Lorenzi, A. Lorz, G. Restori, Asymptotic dynamics in populations structured by sensitivity to global warming and habitat shrinking, Acta Appl. Math., 131, 49-67, 2013

9 M. Delitala, U. Dianzani, T. Lorenzi, M. Melensi, A mathematical model for immune and autoimmune response mediated by T-cells, Comp. Math. Appl., 66, 1010-1023, 2013

8 M. Delitala, T. Lorenzi, Drift-diffusion limit of a model for the dynamics of epithelial and mesenchymal cell mononalyers, Appl. Math. Letters, 26, 826-830, 2013

7 D. Borra, T. Lorenzi, Asymptotic analysis of continuous opinion dynamics models under bounded confidence, Commun. Pure Appl. Anal., 12, 1487-1499, 2013

6 M. Delitala, T. Lorenzi, Recognition and learning in a mathematical model for immune response against cancer, Disc. Cont. Dyn. Syst. B, 18, 891-914, 2013

5 A. Lorz, T. Lorenzi, M.E. Hochberg, J. Clairambault, B. Perthame, Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies, ESAIM Math. Model. Numer. Anal., 47, 377-399, 2013

4 D. Borra, T. Lorenzi, A hybrid model for opinion formation, Z. angew. Math. Phys., 64, 419-437, 2013

3 M. Delitala, T. Lorenzi, Asymptotic dynamics in continuous structured populations with mutations, competition and mutualism, J. Math. Anal. Appl., 389, 439-451, 2012

2 M. Delitala, T. Lorenzi, A mathematical model for the dynamics of cancer hepatocytes under therapeutic actions, J. Theor. Biol., 297, 88-102, 2012

1 M. Delitala, T. Lorenzi, A mathematical model for progression and heterogeneity in colorectal cancer dynamics, Theor. Popul. Biol., 79, 130-138, 2011

Book chapters

4 L. Almeida, R.H. Chisholm, J. Clairambault, T. Lorenzi, A. Lorz, C. Pouchol, E. Trélat, Why is evolution important in cancer and what mathematics should be used to treat cancer? Focus on drug resistance (pp. 107-120) in Trends in Biomathematics: Modeling, Optimization and Computational Problems, Ed. R. Mondaini, Springer, Cham, 2018

3 M. Delitala, T. Lorenzi, M. Melensi, A structured population model of competition between cancer cells and T-cells under immunotherapy (pp. 47-58) in Mathematical Models of Tumor-Immune System Dynamics, Eds. A. Eladdadi, P. Kim, D. Mallet, Springer Proceedings in Mathematics & Statistics, Vol. 107, 2014

2 M. Delitala, T. Lorenzi, Mathematical modeling of cancer cells evolution under targeted chemotherapies (pp. 81-89) in Managing Complexity, Reducing Perplexity, Eds. M. Delitala, G. Ajmone Marsan, Springer Proceedings in Mathematics & Statistics, Vol. 67, 2014

1 M. Delitala, T. Lorenzi, Formations of evolutionary patterns in cancer dynamics (pp. 179-190) in Pattern Formation in Morphogenesis. Problems and mathematical issues, Eds. V. Capasso, M. Gromov, A. Harel-Bellan, N. Morozova and L.L. Pritchard, Springer Proceedings in Mathematics, Vol. 15, 2013

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