Publications

    1. T. Lorenzi, C. Venkataraman, A. Lorz, M.A.J. Chaplain, The role of spatial variations of abiotic factors in mediating intratumour phenotypic heterogeneity – Submitted, 2017
    2. A. Lorz, D.-A. Botesteanu, D. LevyModeling cancer cell growth dynamics in vitro in response to antimitotic drug treatment – Submitted, 2017
    3. C. Pouchol, J. Clairambault, A. Lorz, E. Trélat, Asymptotic Analysis and Optimal Control of an Integro-Differential System Modelling Healthy and Cancer Cells Exposed to Chemotherapy – Accepted in Journal des Mathématiques Pures et Appliquées, 2017 – preprint
    4. M. Burger, A. Lorz, M.-T. Wolfram, Balanced growth path solutions of a Boltzmann mean field game model for knowledge growth – Kinetic and Related Models, Vol. 10, pp. 117-140, 2017 – preprintpublished version
    5. T. Lorenzi, A. Lorz, B. Perthame, On interfaces between cell populations with different mobilities – Kinetic and Related Models, Vol. 10, pp. 299-311, 2017 – preprintpublished version
    6. A. Lorz, B. Perthame, C. Taing, Dirac Concentrations in a Chemostat Model of Adaptive Evolution – Chinese Annals of Mathematics, Series B, Vol. 38, pp. 513-538, 2017 – preprintpublished version
    7. M. Burger, A. Lorz, M.-T. Wolfram, On a Boltzmann Mean Field Model for Knowledge Growth – SIAM Journal on Applied Mathematics, Vol. 76, pp. 1799-1818, 2016 – preprintpublished version
    8. R. H. Chisholm, T. Lorenzi, A. Lorz, Effects of an advective term in nonlocal Lotka-Volterra equations – Communications in Mathematical Sciences, Vol. 14, pp. 1181-1188, 2016 – published version
    9. R. H. Chisholm, T. Lorenzi, A. Lorz, A. Larsen, L. 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 Research, Vol. 75, pp. 930-939, 2015 – published version
    10. L. Boudin, C. Grandmont, A. Lorz, A. Moussa, Modelling and Numerics for Respiratory Aerosols – Communications in Computational Physics, Vol. 18, pp. 723-756, 2015 – preprintpublished version
    11. 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 – Bulletin of Mathematical Biology, Vol. 77, pp. 1-22, 2015 – preprintpublished version
    12. 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, Vol. 146, pp. 271-280, 2015 – published version
    13. A. Lorz, B. Perthame, Long-term behaviour of phenotypically structured models – Proceedings of The Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences, Vol. 470, pp. 20140089, 2014 – preprintpublished version
    14. T. Lorenzi, A. Lorz, G. Restori, Asymptotic dynamics in populations structured by sensitivity to global warming and habitat shrinking – Acta Applicandae Mathematicae, Vol. 131, pp. 49-67, 2014 – preprint
    15. A. Lorz, P. Markowich, B. Perthame, Bernoulli Variational Problem and Beyond – Archive for Rational Mechanics and Analysis, Vol. 212, pp. 415-443, 2013 – preprintpublished version
    16. F. Thomas, D. Fisher, P. Fort, J.-P. Marie, S. Daoust, B. Roche, C. Grunau, C. Cosseau, G. Mitta, S. Baghdiguian, F. Rousset, P. Lassus, E. Assenat, D. Grégoire, D. Missé, A. Lorz, F. Billy, W. Vainchenker, F. Delhommeau, S. Koscielny, R. Itzykson, R. Tang, F. Fava, A. Ballesta, T. Lepoutre, L. Krasinska, V. Dulic, P. Raynaud, P. Blache, C. Quittau-Prevostel, E. Vignal, H. Trauchessec, B. Perthame, J. Clairambault, V. Volpert, E. Solary, U. Hibner, M. E. Hochberg, Applying ecological and evolutionary theory to cancer: a long and winding road – Evolutionary Applications, Vol. 6, pp. 1-10, 2013 – published version
    17. A. Lorz, T. Lorenzi, M. E. Hochberg, J. Clairambault, B. Perthame, Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies – ESAIM. Mathematical Modelling and Numerical Analysis, Vol. 47, pp. 377-399, 2013 – preprintpublished version
    18. A. Lorz, A coupled Keller-Segel-Stokes model: global existence for small initial data and blow-up delay – Communications in Mathematical Sciences, Vol. 10, pp. 555-574, 2012 – preprintpublished version
    19. A. Chertock, K. Fellner, A. Kurganov, A. Lorz, P. Markowich, Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach – Journal of Fluid Mechanics, Vol. 694, pp. 155-190, 2012 – preprintpublished version
    20. J.-G. Liu, A. Lorz, A coupled chemotaxis-fluid model: global existence – Annales de l’Institut Henri Poincaré. Analyse Non Linéaire, Vol. 28, pp. 643-652, 2011 – preprintpublished version
    21. A. Lorz, S. Mirrahimi, B. Perthame, Dirac mass dynamics in multidimensional nonlocal parabolic equations – Communications in Partial Differential Equations, Vol. 36, pp. 1071-1098, 2011 – preprintpublished version
    22. R.-J. Duan, A. Lorz, P. Markowich, Global Solutions to the Coupled Chemotaxis–Fluid Equations – Comm. Partial Differential Equations, Vol. 35, pp. 1635-1673, 2010 – preprintpublished version
    23. M. Di Francesco, A. Lorz, P. Markowich, Chemotaxis–fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior – Discrete Contin. Dyn. Syst. Ser. A, Vol. 28, pp. 1437-1453, 2010 – published version
    24. A. Lorz, Coupled chemotaxis fluid model – Math. Models Methods Appl. Sci., Vol. 20, pp. 987-1004, 2010 – preprintpublished version

Proceedings

  1. F. Billy, J. Clairambault, O. Fercoq, T. Lorenzi, A. Lorz, B. Perthame, Modelling targets for anticancer drug control optimization in physiologically structured cell population models – AIP Conference Proceedings, Vol. 1479, 2012, pp. 1323-1326 – published version
  2. A. Decoene, A. Lorz, S. Martin. B. Maury, M. Tang, Simulation of self-propelled chemotactic bacteria in a Stokes flow – ESAIM: Proceedings, Vol. 30, 2010, pp. 105-124 – published versionpreprint