Tommaso Lorenzi

Publications in journals

27 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, in review

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, in review

25 T. Lorenzi, R.H. Chisholm, J. Clairambault, Tracking the evolution of cancer cell populations through the mathematical lens of phenotype-structured equations, Biol. Direct, in press

24 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 - General Subjects, in press

23 T. Lorenzi, A. Lorz, B. Perthame, On interfaces between cell populations with different mobilities, Kinet. Relat. Models, in press

22 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., in press

21 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., in press

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. Theoret. 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 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

14 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

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

11 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

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

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. Theoret. 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 and proceedings

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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