A contribution to the mathematical modeling of immune-cancer competition-Reference-Cited by-同舟云学术

A contribution to the mathematical modeling of immune-cancer competition

Published:2018-12-01 Issue:2 Volume:9 Page:76-90
ISSN:2038-0909
Container-title:Communications in Applied and Industrial Mathematics
language:en
Short-container-title:

Author:

Dabnoun Najat M. Omar¹,Mongiovì Maria Stella¹²

Affiliation:

1. Dipartimento di Energia,Ingegneria dell'Informazione e Modelli Matematici (DEIM), Università di Palermo , Italy

2. Dipartimento di Innovazione Industriale e Digitale (DIID), Università di Palermo , Italy

Abstract

Abstract This paper deals with the modeling of interactions between the immune system and cancer cells, in the framework of the mathematical kinetic theory for active particles. The work deepens a previous paper of Belloquid et al. that assumes spatial homogeneity and discrete values of the activity of cancer and immune cells. A number of simulations are made with the aim to investigate how the state of the various cell populations evolves in time depending on the choice of the free parameters.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Industrial and Manufacturing Engineering

Link

https://www.sciendo.com/pdf/10.2478/caim-2018-0012

Reference14 articles.

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

2. 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.2011.02.013

3. 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/S0218202512500650

4. 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, 2002.10.1080/10273660290015170

5. 5. N. Bellomo, Modeling Complex Living Systems. Birkhäuser, 2008.

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the Interaction Between Soft and Hard Sciences: the Role of Mathematical Sciences;Vietnam Journal of Mathematics;2020-01-10

2. A NOTE ON THE MODELING OF IMMUNE-CANCER COMPETITION IN THE HOMOGENEOUS SYSTEMS;ATTI ACCAD PELORIT;2019

3. Preface to the Special Issue Mathematical modelling for complex systems: multi-agents methods;Communications in Applied and Industrial Mathematics;2018-12-01