Nicola Bellomo

Personal Home Page

http://staff.polito.it/nicola.bellomo/

Articles in Scholarly Journals [Incomplete List]

  1. Special issue on modeling and computational methods in genomic sciences
    Computers & Mathematics with Applications, vol. 55, no. 5, pp. 863–866, 2008
  2. On the complexity of multiple interactions with additional reasonings about Kate, Jules and Jim
    Mathematical and Computer Modelling, vol. 47, no. 1-2, pp. 168–177, 2008
  3. From the mathematical kinetic theory of active particles to multiscale modelling of complex biological systems☆
    Mathematical and Computer Modelling, vol. 47, no. 7-8, pp. 687–698, 2008
  4. On the kinetic and stochastic games theory for active particles: Some reasonings on open large living systems
    Mathematical and Computer Modelling, 2008
  5. ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES
    Mathematical Models and Methods in Applied Sciences, vol. 18, no. 04, p. 593, 2008
  6. PREFACE — CHALLENGING MATHEMATICAL PROBLEMS IN CANCER MODELLING
    Mathematical Models and Methods in Applied Sciences, vol. 17, no. Supp, p. 1641, 2007
  7. MULTICELLULAR BIOLOGICAL GROWING SYSTEMS: HYPERBOLIC LIMITS TOWARDS MACROSCOPIC DESCRIPTION
    Mathematical Models and Methods in Applied Sciences, vol. 17, no. Supp, p. 1675, 2007
  8. From microscopic to macroscopic description of multicellular systems and biological growing tissues
    Computers & Mathematics with Applications, vol. 53, no. 3-4, pp. 647–663, 2007
  9. Crowd dynamics on a moving platform: Mathematical modelling and application to lively footbridges
    Mathematical and Computer Modelling, vol. 45, no. 3-4, pp. 252–269, 2007
  10. Mathematical tools of the kinetic theory of active particles with some reasoning on the modelling progression and heterogeneity?
    Mathematical and Computer Modelling, vol. 45, no. 5-6, pp. 564–578, 2007
  11. From the kinetic theory of active particles to the modeling of social behaviors and politics
    Quality & Quantity, vol. 41, no. 4, pp. 545–555, 2007
  12. On the onset of non-linearity for diffusion models of binary mixtures of biological materials by asymptotic analysis
    International Journal of Non-Linear Mechanics, vol. 41, no. 2, pp. 281–293, 2006
  13. On the mathematical kinetic theory of active particles with discrete statesThe derivation of macroscopic equations
    Mathematical and Computer Modelling, vol. 44, no. 3-4, pp. 397–404, 2006
  14. Preface
    Computational and Mathematical Methods in Medicine, vol. 7, no. 2, pp. 67–70, 2006
  15. Mathematical Models and Methods in Applied Sciences, vol. 16, no. 7, p. 1001, 2006
  16. On the modelling of complex sociopsychological systems with some reasoning about Kate, Jules, and Jim
    Differential Equations and Nonlinear Mechanics, vol. 2006, Article ID 86816, 26 pages, 2006
  17. Mediators of Inflammation, vol. 2006, Article ID 86816, 26 pages, 2006
  18. Preface
    Mathematical and Computer Modelling, vol. 41, no. 10, pp. xiii–xv, 2005
  19. First order models and closure of the mass conservation equation in the mathematical theory of vehicular traffic flow
    Comptes Rendus Mecanique, vol. 333, no. 11, pp. 843–851, 2005
  20. International Journal of Modern Physics B [Condensed Matter Physics; Statistical Physics; Applied Physics], vol. 18, no. 4 & 5, p. 487, 2004
  21. Mathematical Models and Methods in Applied Sciences, vol. 14, no. 11, p. 1683, 2004
  22. Review Article
    Journal of Theoretical Medicine, vol. 5, no. 2, pp. 111–136, 2003
  23. Non-linear consolidation models of clay which change type
    International Journal of Non-Linear Mechanics, vol. 38, no. 4, pp. 493–500, 2003
  24. Preface
    Mathematical and Computer Modelling, vol. 37, no. 11, pp. xiii–xv, 2003
  25. The modelling of the immune competition by generalized kinetic (Boltzmann) models: Review and research perspectives
    Mathematical and Computer Modelling, vol. 37, no. 1-2, pp. 65–86, 2003
  26. The generalized kinetic modelling of a multicomponent “real-life” fluid by means of a single distribution function
    Mathematical and Computer Modelling, vol. 38, no. 5-6, pp. 637–659, 2003
  27. Boundary value steady solutions of a class of hydrodynamic models for vehicular traffic flow
    Mathematical and Computer Modelling, vol. 38, no. 3-4, pp. 367–383, 2003
  28. La fonction de distribution d'équilibre pour des particules composées basée sur la cinétique généralisée
    Comptes Rendus Mecanique, vol. 331, no. 7, pp. 461–467, 2003
  29. From the modelling of driver's behavior to hydrodynamic models and problems of traffic flow
    Nonlinear Analysis: Real World Applications, vol. 3, no. 3, pp. 339–363, 2002
  30. Temperature fields in machining processes and heat transfer models
    Mathematical and Computer Modelling, vol. 35, no. 1-2, pp. 101–109, 2002
  31. Preface
    Mathematical and Computer Modelling, vol. 35, no. 5-6, pp. xiii–xiv, 2002
  32. Modelling Tumor Progression, Heterogeneity, and Immune Competition
    Journal of Theoretical Medicine, vol. 4, no. 1, pp. 51–65, 2002
  33. Mathematical Models and Methods in Applied Sciences, vol. 12, no. 4, p. 567, 2002
  34. Mathematical Models and Methods in Applied Sciences, vol. 12, no. 12, p. 1801, 2002
  35. Solution of nonlinear problems in applied sciences by generalized collocation methods and mathematica*1
    Computers & Mathematics with Applications, vol. 41, no. 10-11, pp. 1343–1363, 2001
  36. Kinetic equations modelling population dynamics
    Transport Theory and Statistical Physics, vol. 29, no. 1, pp. 125–139, 2000
  37. Modelling and mathematical problems related to tumor evolution and its interaction with the immune system
    Mathematical and Computer Modelling, vol. 32, no. 3-4, pp. 413–452, 2000
  38. From the Jager and Segel model to kinetic population dynamics nonlinear evolution problems and applications
    Mathematical and Computer Modelling, vol. 30, no. 1-2, pp. 15–40, 1999
  39. Transport in Porous Media, vol. 34, no. 1/3, pp. 17–27, 1999
  40. Bifurcation analysis for a nonlinear system of integro-differential equations modelling tumor-immune cells competition
    Applied Mathematics Letters, vol. 12, no. 2, pp. 39–44, 1999
  41. The Boltzmann equation for dissipative disparate mixtures
    Applied Mathematics Letters, vol. 12, no. 6, pp. 71–76, 1999
  42. Mathematical Models and Methods in Applied Sciences, vol. 8, no. 8, p. 1403, 1998
  43. The generalized Boltzmann equation solution and exponential trend to equilibrium
    Transport Theory and Statistical Physics, vol. 26, no. 6, pp. 661–677, 1997
  44. The evolution of the generalized shape in immunology
    Applied Mathematics Letters, vol. 10, no. 4, pp. 53–58, 1997
  45. A new system approach in estimate theory deterministic approach and uncertainty measures
    Mathematical and Computer Modelling, vol. 25, no. 5, pp. 1–11, 1997
  46. Nonlinear models and problems in applied sciences from differential quadrature to generalized collocation methods
    Mathematical and Computer Modelling, vol. 26, no. 4, pp. 13–34, 1997
  47. From the Boltzmann equation to generalized kinetic models in applied sciences
    Mathematical and Computer Modelling, vol. 26, no. 7, pp. 43–76, 1997
  48. Discretization of nonlinear models by Sinc collocation-interpolation methods
    Computers & Mathematics with Applications, vol. 32, no. 4, pp. 65–81, 1996
  49. Solution of a new class of nonlinear kinetic models of population dynamics
    Applied Mathematics Letters, vol. 9, no. 2, pp. 65–70, 1996
  50. Nonlinear models in soils consolidation theory parameter sensitivity analysis
    Mathematical and Computer Modelling, vol. 24, no. 3, pp. 11–20, 1996
  51. Journal of Biological Systems, vol. 4, no. 4, p. 479, 1996
  52. Population dynamics with stochastic interaction
    Transport Theory and Statistical Physics, vol. 24, no. 1, pp. 431–443, 1995
  53. Nonlinear kinetic equations with dissipative collisions
    Applied Mathematics Letters, vol. 8, no. 5, pp. 47–52, 1995
  54. Solution of nonlinear initial-boundary value problems by sinc collocation-interpolation methods
    Computers & Mathematics with Applications, vol. 29, no. 4, pp. 15–28, 1995
  55. The solution of the nonlinear Boltzmann equation: A survey of analytic and computational methods
    Computers & Mathematics with Applications, vol. 30, no. 7, pp. 21–30, 1995
  56. Dynamics of tumor interaction with the host immune system
    Mathematical and Computer Modelling, vol. 20, no. 1, pp. 107–122, 1994
  57. Mathematical Models and Methods in Applied Sciences, vol. 3, no. 1, p. 65, 1993
  58. Modeling and solution of stochastic inverse problems in mathematical physics
    Mathematical and Computer Modelling, vol. 16, no. 5, pp. 37–51, 1992
  59. Reviews in Mathematical Physics, vol. 3, no. 2, p. 137, 1991
  60. Mathematical Models and Methods in Applied Sciences, vol. 1, no. 1, p. 113, 1991
  61. Analysis of stochastic systems in continuum physics Some developments of the stochastic adaptive interpolation method
    Structural Safety, vol. 8, no. 1-4, pp. 93–101, 1990
  62. The discrete Boltzmann equation with multiple collisions: Global existence and stability for the initial value problem
    Journal of Mathematical Physics, vol. 31, no. 1, p. 245, 1990
  63. On the initial value problem for the Boltzmann equation with a force term
    Transport Theory and Statistical Physics, vol. 18, no. 1, pp. 87–102, 1989
  64. Stochastic partial differential equations in continuum physics—on the foundations of the stochastic interpolation method for ITO's type equations
    Mathematics and Computers in Simulation, vol. 31, no. 1-2, pp. 3–17, 1989
  65. Reviews in Mathematical Physics, vol. 1, no. 2 & 3, p. 183, 1989
  66. Random heat equation: Solutions by the stochastic adaptive interpolation method
    Computers & Mathematics with Applications, vol. 16, no. 9, pp. 759–766, 1988
  67. On the asymptotic equivalence between the Enskog and the Boltzmann equations
    Journal of Statistical Physics, vol. 51, no. 1-2, pp. 233–247, 1988
  68. Initial/boundary value problems for the semidiscrete Boltzmann equation: Analysis by Adomian's decomposition method
    Journal of Mathematical Analysis and Applications, vol. 128, no. 1, pp. 112–124, 1987
  69. On Adomian's decomposition method and some comparisons with Picard's iterative scheme
    Journal of Mathematical Analysis and Applications, vol. 123, no. 2, pp. 389–400, 1987
  70. The Enskog-Boltzmann equation in the whole space 3: Some global existence, uniqueness and stability results
    Computers & Mathematics with Applications, vol. 13, no. 9-11, pp. 851–859, 1987
  71. On the continuous approximation of the probability density and of the entropy functions for nonlinear stochastic dynamical systems
    Mathematics and Computers in Simulation, vol. 29, no. 3-4, pp. 233–241, 1987
  72. International Journal of Modern Physics B [Condensed Matter Physics; Statistical Physics; Applied Physics], vol. 1, no. 5 & 6, p. 1193, 1987
  73. Time evolution and fluctuations of the probability density and entropy function for a class of nonlinear stochastic systems in mathematical physics
    Computers & Mathematics with Applications, vol. 12, no. 6, pp. 663–675, 1986
  74. On the Tricomi problem
    Computers & Mathematics with Applications, vol. 12, no. 4-5, pp. 557–563, 1986
  75. A comparison between Adomian's decomposition methods and perturbation techniques for nonlinear random differential equations
    Journal of Mathematical Analysis and Applications, vol. 110, no. 2, pp. 495–502, 1985
  76. On the Cauchy problem for the nonlinear Boltzmann equation global existence uniqueness and asymptotic stability
    Journal of Mathematical Physics, vol. 26, no. 2, p. 334, 1985
  77. On the mathematical modelling of physical systems by ordinary differential stochastic equations
    Mathematics and Computers in Simulation, vol. 26, no. 4, pp. 361–367, 1984
  78. Semilinear stochastic systems: Analysis with the method of the stochastic Green's function and application in mechanics
    Journal of Mathematical Analysis and Applications, vol. 96, no. 2, pp. 330–340, 1983
  79. Dynamical and nonautonomous systems with random initial conditions and kinetic interaction: Mathematical modelling of the evolution of the probability density
    Mathematical Modelling, vol. 4, no. 3, pp. 269–273, 1983
  80. A mathematical model for two-dimensional molecular gas flow with dispersed particles
    Applied Mathematical Modelling, vol. 5, no. 3, pp. 205–208, 1981
  81. Mathematical modelling and nonlinear dynamics of a class of homokinetic systems
    Mechanism and Machine Theory, vol. 15, no. 5, pp. 371–383, 1980
  82. Time-evolution of the probability density under the action of a deterministic dynamical system
    Journal of Mathematical Analysis and Applications, vol. 77, no. 1, pp. 215–224, 1980
  83. Mathematical models and optimization problems for a class of multibodied homokinetic systems rotating about a fixed point
    Meccanica, vol. 15, no. 1, pp. 3–8, 1980
  84. Dynamical systems with a large number of degrees of freedom: A stochastic mathematical analysis for a class of deterministic problems
    Mechanics Research Communications, vol. 6, no. 2, pp. 75–80, 1979
  85. Mathematical models for the time-evolution of stochastic systems in two-phase flow
    Applied Mathematical Modelling, vol. 3, no. 1, pp. 41–44, 1979
  86. The general theory of the mechanics of a large class of multibodied systems for constant velocity transmission between intersecting axes
    Mechanism and Machine Theory, vol. 13, no. 3, pp. 361–368, 1978
  87. Scattering kernels for the boundary conditions of the boltzmann equation on the moving boundary of two-phase systems
    Meccanica, vol. 13, no. 3, pp. 127–132, 1978
  88. The fluid dynamics of rarefied molecular flow over convex bodies: A new theory and applications
    Zeitschrift für angewandte Mathematik und Physik ZAMP, vol. 29, no. 1, pp. 112–122, 1978
  89. Time dependent analysis of the evolution of the distribution of drop sizes of liquid droplets in a free-molecule stream
    International Journal of Multiphase Flow, vol. 3, no. 3, pp. 255–261, 1977
  90. Theoretical analysis of the dynamical motion of a spatial system of rigid bodies for the homokinetic transmission of the motion between angled shafts
    Meccanica, vol. 11, no. 1, pp. 57–63, 1976
  91. A physical-mathematical model describing the interface and transport kinetic properties fo a liquid-vapour system in non-equilibrium conditions
    Meccanica, vol. 11, no. 2, pp. 71–75, 1976