Publications

  1. M. Burger, A. Lorz, M.-T. Wolfram, Balanced growth path solutions of a Boltzmann mean field game model for knowledge growth – Accepted in Kinetic and Related Models – preprint
  2. T. Lorenzi, A. Lorz, B. Perthame, On interfaces between two cell populations with different mobilities and proliferation rates – Accepted in Kinetic and Related Models
  3. M. Burger, A. Lorz, M.-T. Wolfram, On a Boltzmann mean field model for knowledge growth – Accepted in SIAM Journal on Applied Mathematics – preprint
  4. A. Lorz, B. Perthame, C. Taing, Dirac concentrations in a chemostat model of adaptive evolution – Accepted in Chinese annals of mathematics
  5. R.H. Chisholm, T. Lorenzi, A. Lorz, Effects of an advection term in nonlocal Lotka-Volterra equations – Accepted in Communications in Mathematical Sciences
  6. 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
  7. L. Boudin, C. Grandmont, A. Lorz, A. Moussa, Modeling and numerics for respiratory aerosols – Accepted in Comm. Computational Physics, 2015 – preprint
  8. 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 Res., 75, pp. 930-939, 2015 – published version
  9. 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, 77, pp. 1-22, 2015 – preprintpublished version
  10. A. Lorz, and B. Perthame, Long-term behaviour of phenotypically structured models – Proceedings of the Royal Society A, Vol. 470, no. 2167, 2014 – published versionpreprint
  11. A. Lorz, P. Markowich, B. Perthame, Bernoulli variational problem and beyond – Archive for Rational Mechanics and Analysis, Vol. 212, 2014, pp. 415-443 – published versionpreprint
  12. T. Lorenzi, A. Lorz, G. Restori, Asymptotic Dynamics in Populations Structured by Sensitivity to Global Warming and Habitat Shrinking – Acta Applicandae Mathematicae, Vol. 131, 2014, pp. 49-67 – published version
  13. 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, 2013, pp. 1-10 – published version
  14. 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, 2013, pp. 377-399 – published versionpreprint
  15. 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, 2012, pp. 155-190 – published versionpreprint
  16. A. Lorz, A coupled Keller–Segel–Stokes model: global existence for small initial data and blow-up delay – Communications in Mathematical Sciences, Vol. 10, 2012, pp. 555–574 – published versionpreprint
  17. J.-G. Liu, A. Lorz, A Coupled Chemotaxis-Fluid Model: Global Existence – Annales de l’Institut Henri Poincaré. Analyse Non Linéaire, Vol. 28, 2011, pp. 643-652 – published versionpreprint
  18. A. Lorz, S. Mirrahimi, B. Perthame, Dirac mass dynamics in a multidimensional nonlocal parabolic equation – Communications in Partial Differential Equations, Vol. 36, 2011, pp. 1071-1098 – published versionpreprint
  19. M. Di Francesco, A. Lorz, P. Markowich, Chemotaxis fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior – Discrete and Continuous Dynamical Systems, Series A, Vol. 28, No. 4, 2010, pp. 1437-1453 – published versionpreprint
  20. R.-J. Duan, A. Lorz, P. Markowich, Global Solutions to the coupled chemotaxis-fluid equations – Communications in Partial Differential Equations, Vol. 35, No. 9, 2010, pp. 1635-1673 – published versionpreprint
  21. A. Lorz, Coupled Chemotaxis Fluid Model – Mathematical Models and Methods in Applied Sciences, Vol. 20, No. 6, 2010, pp. 987-1004 – published versionpreprint

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