Marcello Delitala

Publications

The scientific papers authored by Marcello Delitala including scientific papers in refereed journals, books and chapters of books, are listed below.

Some recent papers by Marcello Delitala can be downloaded from http://calvino.polito.it/fismat the web page of the scientific his research group.

Books

  • A. Bellouquid, M. Delitala, Mathematical Modeling of Complex Biological Systems. A Kinetic Theory Approach, (Birkhäuser, Boston), 2006. More informations can be recovered at www.springer.com

Other publications

  • N. Bellomo, E. De Angelis, M. Delitala, Lecture notes on mathematical modelling from applied sciences to complex systems, SIMAI e-Lecture Notes, ISSN 1970-4429, vol. 8, (pp.1-164), 2010. [Teaching book]
  • A. Bellouquid and M. Delitala, From The Kinetic Theory for Active Particles to Modelling the Immune Competition (pp. 31-47), in Selected Topics on Cancer Modelling Genesis - Evolution - Immune Competition - Therapy, Eds. N. Bellomo, M. Chaplain and E. De Angelis, Birkhäuser (Boston), 2008. [Chapter of Book]
  • N. Bellomo, E. De Angelis, and M. Delitala, Lecture Notes on Mathematical Modelling in Applied Sciences, SIMAI e-Lecture Notes, ISSN 1970-4429, 1, (pp. 1-148) 2008, doi:10.1685/SELN08001 [Teaching book]
  • M. Delitala, On the Mathematical Modelling of Complex Biological Systems. A Kinetic Theory Approach, Bollettino UMI, Serie IX, I(3), 603-618, 2008. [Proceeding XVIII Conference UMI - Bari, 2007]
  • N. Bellomo, A. Bellouquid, M. Delitala, Methods and Tools of the Mathematical Kinetic Theory toward Modeling Complex Biological Systems (pp. 175-194) in Transport Phenomena and Kinetic Theory, Eds. C. Cercignani and E. Gabetta, Birkhäuser (Boston), 2007. [Chapter of book]

 

 

Scientific papers

  • M. Delitala, T. Lorenzi, Asymptotic dynamics in continuous structured populations with mutations, competition and mutualism, J. Math. Anal. Appl., 389, 439-451, 2012.
  • M. Delitala, T. Lorenzi, A mathematical model for the dynamics of cancer hepatocytes under therapeutic actions, J. Theoret. Biol., 297, 88-102, 2012.
  • M. Delitala, P. Pucci, M.C. Salvatori, From methods of the
    mathematical kinetic theory for active particles to modelling virus mutations, Math. Mod. Meth. Appl. Sci., 21, 843-870, 2011
  • M. Delitala, T. Lorenzi, A mathematical model for progression and heterogeneity in colorectal cancer dynamics, Theor. Popul. Biol., 79, 130–138, 2011.
  • C. Bianca, M. Delitala, On the modelling genetic mutations and immune system competition, Comput. Math. Appl., 61, 2362–2375, 2011.
  • A. Bellouquid, M. Delitala, Asymptotic limits of a discrete kinetic theory model of vehicular traffic, Appl. Math. Letters, 24, 972-978, 2011.
  • M.L. Bertotti, M. Delitala, Clusters formation in opinion dynamics: A qualitative analysis, Z. angew. Math. Phys., 61, 583-602, 2010.
  • N. Bellomo, C. Bianca, M. Delitala, Complexity analysis and mathematical tools towards the modelling
    of living systems, Physics of Life Reviews, 6, 144-175, 2009.
  • S. De Lillo, M. Delitala, M.C. Salvatori, Modelling epidemics and virus mutations by methods of the mathematical kinetic theory for active particles, Math. Mod. Meth. Appl. Sci., 19, 1405-1425, 2009.
  • N. Bellomo and M. Delitala, On the coupling of higher and lower scales using the mathematical kinetic theory of active particles, Appl. Math. Lett., 22, 646-650, 2009.
  • N. Bellomo and M. Delitala, From the mathematical kinetic, and stochastic game theory for active particles to modelling mutations, onset, progression and immune
    competition of cancer cells, Physics of Life Reviews, 5, 183–206, 2008.
  • P. Degond and M. Delitala, Modelling and Simulation of Vehicular Traffic Jam Formation, Kinetic and Related Models, 1, 279-293, 2008.
  • M.L. Bertotti, M. Delitala, On the existence of limit cycles of opinion formation processes under time periodic influence of persuaders, Math. Mod. Meth. Appl. Sci., 18, 913-934, 2008.
  • M.L. Bertotti, M. Delitala, On a discrete generalized kinetic approach for modelling persuaders influence in opinion formation processes, Math. Comp. Model., 48, 1107–1121, 2008.
  • N. Bellomo, A. Bellouquid, M. Delitala, From the mathematical kinetic theory of active particles to multiscale modelling of complex biological systems, Math. Comp. Model., 47, 687--698, 2008.
  • F. Berthelin, P. Degond, M. Delitala, M. Rascle, A model for the formation and evolution of traffic jams, Arch. Rational Mech. Anal., 187, 2, 185-220, 2008.
  • M.L. Bertotti, M. Delitala, Conservation laws and asymptotic behavior of a model of social dynamics, Nonlinear Anal. Real. World. Appl., 9, 183-196, 2008.
  • M.L. Bertotti, M. Delitala, N. Bellomo, From the Kinetic Theory of Active Particles to the Modelling of Social Behaviors and Politics, Quality and Quantity, 41, 545-555, 2007.
  • M. Delitala, A. Tosin, Mathematical modeling of vehicular traffic: a discrete kinetic approach, Math. Mod. Meth. Appl. Sci., 17, 901–932, 2007.
  • V. Coscia, M. Delitala, P. Frasca, On the mathematical theory of vehicular traffic flow II. Discrete velocity kinetic models, Int. J. Nonlinear Mech., 42, 411-421, 2007.
  • M.L. Bertotti, M. Delitala, On the qualitative analysis of the solutions of a mathematical model of social dynamics, Appl. Math. Letters, 19, 1107-1112, 2006.
  • E. De Angelis, M. Delitala, Modelling complex systems in applied sciences methods and tools of the mathematical kinetic theory for active particles, Math. Comp. Model. 43, 1310-1328, 2006.
  • A. Bellouquid, M. Delitala, Mathematical Methods and Tools of Kinetic Theory towards Modelling Complex Biological Systems, Math. Mod. Meth. Appl. Sci. 15, 1639-1666, 2005.
  • N. Bellomo, A. Bellouquid, M. Delitala, Mathematical topics on the modelling complex multicellular systems and tumor immune cells competition, Math. Mod. Meth. Appl. Sci. 14, 1683-1733, 2004.
  • M.L. Bertotti, M. Delitala, From discrete kinetic and stochastic game theory to modelling complex systems in applied sciences, Math. Mod. Meth. Appl. Sci. 14, 1061-1084, 2004.
  • M. Delitala, Generalized kinetic theory approach to modeling spread and evolution of epidemics, Math. Comp. Model. 39, 1-12, 2004.
  • A. Bellouquid, M. Delitala, Kinetic (cellular) models of cell progression and competition with the immune system, Z. angew. Math. Phys. 55, 295-317, 2004.
  • M. Delitala, Nonlinear models of vehicular traffic flow - New frameworks of the mathematical kinetic theory, CR Mécanique 331, 817-822, 2003.
  • E. De Angelis, M. Delitala, A. Marasco, A. Romano, Bifurcation analysis for a mean field modeling of tumor and immune system competition, Math. Comp. Model. 37, 1131-1142, 2003.
  • M. Delitala, Critical analysis and perspectives on the kinetic (cellular) theory of immune competition, Math. Comp. Model. 35, 63-75, 2002.
  • N. Bellomo, M. Delitala, V. Coscia, On the mathematical theory of vehicular traffic fow I - Fluid dynamic and kinetic modeling, Math. Mod. Meth. Appl. Sci. 12, 1801-1843, 2002.

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