Otwarty dostęp

A contribution to the mathematical modeling of immune-cancer competition

Communications in Applied and Industrial Mathematics's Cover Image
Communications in Applied and Industrial Mathematics
Special Issue on Mathematical modelling for complex systems: multi-agents methods. Guest Editor: Elena De Angelis

Zacytuj

1. D. Hanahan and R. Weinberg, The hallmarks of cancer, Cell, vol. 100, no. 1, pp. 57-70, 2000.10.1016/S0092-8674(00)81683-9Search in Google Scholar

2. D. Hanahan and R. Weinberg, Hallmarks of cancer: the next generation, Cell, vol. 144, no. 5, pp. 646- 674, 2011.10.1016/j.cell.2011.02.01321376230Search in Google Scholar

3. A. Bellouquid, E. D. Angelis, and D. Knopoff, From the modeling of the immune hallmarks of cancer to a black swan in biology, Mathematical Models and Methods in Applied Sciences, vol. 23, no. 05, pp. 949-978, 2013.10.1142/S0218202512500650Search in Google Scholar

4. L. Arlotti, M. Lachowicz, and A. Gamba, A kinetic model of tumor/immune system cellular interaction, Jornal of Theoretical Medicine, vol. 4, no. 1, pp. 39-50, 2002.10.1080/10273660290015170Search in Google Scholar

5. N. Bellomo, Modeling Complex Living Systems. Birkhäuser, 2008.Search in Google Scholar

6. N. Bellomo, D. Knopoff, and J. Soler, On the difficult interplay between life, "complexity", and mathematical sciences, Mathematical Models and Methods in Applied Sciences, vol. 23, no. 10, pp. 1861-1913, 2013.10.1142/S021820251350053XSearch in Google Scholar

7. A. Bellouquid and E. D. Angelis, From kinetic models of multicellular growing systems to macroscopic biological tissue models, Nonlinear Analysis: Real World Applications, vol. 12, no. 2, pp. 1111-1122, 2011.10.1016/j.nonrwa.2010.09.005Search in Google Scholar

8. A. Bellouquid and M. Delitala, Mathematical Modeling of Complex Biological Systems-A Kinetic Theory Approach. Birkhäuser, 2006.Search in Google Scholar

9. A. Chauviere and I. Brazzoli, On the discrete kinetic theory for active particles. mathematical tools, Mathematical and Computer Modelling, vol. 43, no. 7-8, pp. 933-944, 2006.10.1016/j.mcm.2005.10.001Search in Google Scholar

10. N. Bellomo, C. Bianca, and M. Mongiovì, On the modeling of nonlinear interactions in large complex systems, Applied Mathematics Letters, vol. 23, no. 11, pp. 1372-1377, 2010.10.1016/j.aml.2010.07.001Search in Google Scholar

11. I. Brazzoli, E. D. Angelis, and P. E. Jabin, A mathematical model of immune competition related to cancer dynamics, Mathematical Methods in the applied sciences, vol. 33, no. 6, pp. 733-750, 2010.10.1002/mma.1190Search in Google Scholar

12. N. Bellomo, L. Preziosi, and G. Forni, On a kinetic (cellular) theory for competition between tumors and the host immune systems, Jornal of Biological Systems, vol. 04, no. 04, pp. 479-502, 1996.10.1142/S0218339096000326Search in Google Scholar

13. N. Bellomo, A. Bellouquid, and M. Delitala, 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, 2008.10.1016/j.mcm.2007.06.004Search in Google Scholar

14. S. Farkona, E. P. Diamandis, and I. M. Blasutig, Cancer immunotherapy: the beginning of the end of cancer?, BMC medicine, vol. 14, no. 1, p. 73, 2016.10.1186/s12916-016-0623-5485882827151159Search in Google Scholar

eISSN:
2038-0909
Język:
Angielski
Częstotliwość wydawania:
Volume Open
Dziedziny czasopisma:
Mathematics, Numerical and Computational Mathematics, Applied Mathematics