Tommaso Lorenzi
Journal articles

61 L. Almeida, J. Denis, N. Ferrand, T. Lorenzi, M. Sabbah, C. Villa, Evolutionary dynamics of glucose-deprived cancer cells: insights from experimentally-informed mathematical modelling, submitted

60 A. Lasri Doukkali, T. Lorenzi, B.J. Parcell, J.L. Rohn, R. Bowness, A hybrid individual-based mathematical model to study bladder infections, Front. Appl. Math. Stat., 9, doi: 10.3389/fams.2023.1090334, 2023

59 L. Almeida, C. Audebert, E. Leschiera, T. Lorenzi, A hybrid discrete-continuum modelling approach to explore the impact of T-cell infiltration on anti-tumour immune response, Bull. Math. Biol., 84:141, 2022

58 F.R. Macfarlane, T. Lorenzi, K.J. Painter, The impact of phenotypic heterogeneity on chemotactic self-organisation, Bull. Math. Biol., 84:143, 2022

57 F.R. Macfarlane, X. Ruan, T. Lorenzi, Individual-based and continuum models of phenotypically heterogeneous growing cell populations, AIMS Bioeng., 9, 68-92, 2022

56 T. Lorenzi, Cancer modelling as fertile ground for new mathematical challenges, Phys. Life Rev., 40, 3-5, 2022

55 L. Almeida, C. Audebert, E. Leschiera, T. Lorenzi, Discrete and continuum models for the coevolutionary dynamics between CD8+ cytotoxic T lymphocytes and tumour cells, Math. Med. Biol., dqac017, 2023

54 T. Lorenzi, K.J. Painter, Trade-offs between chemotaxis and proliferation shape the phenotypic structuring of invading waves, Int. J. Non Linear Mech., 139:103885, 2022

53 C. Colson, F. Sánchez-Garduño, H.M. Byrne, P.K. Maini, T. Lorenzi, Travelling-wave analysis of a model of tumour invasion with degenerate, cross-dependent diffusion, Proc. Roy. Soc. A, 477:20210593, 2021

52 E. Leschiera, T. Lorenzi, S. Shen, L. Almeida, C. Audebert, A mathematical model to study the impact of intra-tumour heterogeneity on anti-tumour CD8+ T cell immune response, J. Theor. Biol., 538:111028, 2022

51 C. Giverso, T. Lorenzi, L. Preziosi, Effective interface conditions for continuum mechanical models describing the invasion of multiple cell populations through thin membranes, Appl. Math. Letters, 125:107708, 2022

50 T. Lorenzi, A. Pugliese, M. Sensi, A. Zardini, Evolutionary dynamics in an SI epidemic model with phenotype-structured susceptible compartment, J. Math. Biol., 83:72, 2021

49 C. Villa, M.A.J. Chaplain, A. Gerisch, T. Lorenzi, Mechanical models of pattern and form in biological tissues: the role of stress-strain constitutive equations, Bull. Math. Biol., 83:80, 2021

48 G. Fiandaca, M. Delitala, T. Lorenzi, A mathematical study of the influence of hypoxia and acidity on the evolutionary dynamics of cancer, Bull. Math. Biol., 83:83, 2021

47 G. Estrada-Rodriguez, T. Lorenzi, Macroscopic limit of a kinetic model describing the switch in T cell migration modes via binary interactions, Eur. J. Appl. Math., 34, 1-27, 2023

46 T. Lorenzi, B. Perthame, X. Ruan, Invasion fronts and adaptive dynamics in a model for the growth of cell populations with heterogeneous mobility, Eur. J. Appl. Math., 33, 766-783, 2022

45 F.R. Macfarlane, M.A.J. Chaplain, T. Lorenzi, A hybrid discrete-continuum approach to model Turing pattern formation, Math. Biosci. Eng., 17, 7442-7479, 2020

44 A. Ardaševa, R.A. Gatenby, A.R.A. Anderson, H.M. Byrne, P.K. Maini, T. Lorenzi, A comparative study between discrete and continuum models for the evolution of competing phenotype-structured cell populations in dynamical environments, Phys. Rev. E, 102:042404, 2020

43 F. Bubba, T. Lorenzi, F.R. Macfarlane, From a discrete model of chemotaxis with volume-filling to a generalised Patlak-Keller-Segel model, Proc. Roy. Soc. A, 476:20190871, 2020

42 C. Villa, M.A.J. Chaplain, T. Lorenzi, Evolutionary dynamics in vascularised tumours under chemotherapy: Mathematical modelling, asymptotic analysis and numerical simulations, Vietnam J. Math., 49, 143–167, 2021

41 A. Ardaševa, R.A. Gatenby, A.R.A. Anderson, H.M. Byrne, P.K. Maini, T. Lorenzi, A mathematical dissection of the adaptation of cell populations to fluctuating oxygen levels, Bull. Math. Biol., 82:81, 2020

40 C. Villa, M.A.J. Chaplain, T. Lorenzi, Modelling the emergence of phenotypic heterogeneity in vascularised tumours, SIAM J. Appl. Math., 81, 434–453, 2021

39 A. Ardaševa, R.A. Gatenby, A.R.A. Anderson, H.M. Byrne, P.K. Maini, T. Lorenzi, Evolutionary dynamics of competing phenotype-structured populations in periodically fluctuating environments, J. Math. Biol., 80, 775–807, 2020

38 T. Lorenzi, C. Pouchol, Asymptotic analysis of selection-mutation models in the presence of multiple fitness peaks, Nonlinearity, 33:5791, 2020

37 F.R. Macfarlane, M.A.J. Chaplain, T. Lorenzi, A stochastic individual-based model to explore the role of spatial interactions and antigen recognition in the immune response against solid tumours, J. Theor. Biol., 480, 43–55, 2019

36 T. Lorenzi, P.J. Murray, M. Ptashnyk, From individual-based mechanical models of multicellular systems to free-boundary problems, Interface Free Bound., 22, 205-244, 2020

35 R.E.A Stace, T. Stiehl, M.A.J. Chaplain, A. Marciniak-Czochra, T. Lorenzi, Discrete and continuum phenotype-structured models for the evolution of cancer cell populations under chemotherapy, Math. Mod. Nat. Phen., 15:14, 2020

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, SIAM J. Appl. Math., 79, 2011–2031, 2019

33 M.A.J. Chaplain, T. Lorenzi, F.R. Macfarlane, Bridging the gap between individual-based and continuum models of growing cell populations, J. Math. Biol., 80, 343-371, 2020

32 L.C. Franssen, T. Lorenzi, A. Burgess, M.A.J. Chaplain, A mathematical framework for modelling the metastatic spread of cancer, Bull. Math. Biol., 81, 1965-2010, 2019

31 T. Lorenzi, A. Marciniak-Czochra, T. Stiehl, A structured population model of clonal selection in acute leukemias with multiple maturation stages, J. Math. Biol., 79, 1587-1621, 2019

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, ESAIM Math. Model. Numer. Anal., 53, 1157-1190, 2019

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

6 T. Lorenzi, F.R. Macfarlane, C. Villa, Discrete and continuum models for the evolutionary and spatial dynamics of cancer: a very short introduction through two case studies, (pp. 359-380) in Trends in Biomathematics: Modeling Cells, Flows, Epidemics, and the Environment, Ed. R. Mondaini, Springer, Cham, 2019

5 M.A.J. Chaplain, T. Lorenzi, A. Lorz, C. Venkataraman, Mathematical modelling of phenotypic selection within solid tumours (pp. 237-245) in Numerical Mathematics and Advanced Applications ENUMATH 2017, Eds. F.A. Radu, K. Kumar, I. Berre, J.M. Nordbotten, I.S. Pop, Lecture Notes in Computational Science and Engineering, vol 126. Springer, Cham, 2019

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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