On a mathematical model of immune competition

Applied Mathematics Letters

Volumn 19, Issue 7, 2006, Pages 678-683

  Cattani, C ^a   Ciancio, A ^b   Lods, B ^c  

^a UNIVERSITY OF SALERNO   (Italy)

^b UNIVERSITY OF MESSINA   (Italy)

^c POLITECNICO DI TORINO   (Italy)

Author keywords

Asymptotic analysis; Immune competition; Kinetic theory; Nonlinearity

Indexed keywords

CELLS; IMMUNOLOGY; MATHEMATICAL MODELS; PARAMETER ESTIMATION; TUMORS;

ASYMPTOTIC ANALYSIS; IMMUNE COMPETITION; NONLINEARITY;

NONLINEAR EQUATIONS;

EID: 33645380795     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2005.09.001     Document Type: Article

References (7)

1. A. Bellouquid, and M. Delitala Kinetic (Cellular) approach to models of cell progression and competition with the immune system Z. Angew. Math. Phys. 55 2004 295 317
2. A. Bellouquid, and M. Delitala Mathematical methods and tools of kinetic theory towards modelling complex biological systems Math. Models Methods Appl. Sci. 15 2005
3. L. Arlotti, N. Bellomo, and E. De Angelis Generalized kinetic (Boltzmann) models: Mathematical structures and applications Math. Models Methods Appl. Sci. 12 2002 579 604
4. N. Bellomo, A. Bellouquid, and M. Delitala Mathematical topics on the modelling complex multicellular systems and tumor immune cells competition Math. Models Methods Appl. Sci. 14 2004 1683 1733
5. N. Bellomo, and G. Forni Dynamics of tumor interaction with the host immune system Math. Comput. Modelling 20 1994 107 122
6. P.C. Nowell Tumor progression: a brief historic perspective Semin. Cancer Biol. 12 2002 261 266
7. P.J. Delves, and Y.M. Roitt The immune system Adv. Immunol. 343 2000 37 49