Cancer metastasis and the immune system response: modeling the micro-environment by Ising hamiltonian
DOI:
https://doi.org/10.31349/SuplRevMexFis.1.4.25Keywords:
Cancer metastasis, immune system, tumor immune interaction, Ising Hamiltonian energy functionAbstract
To overcome the cancer seeding and late metastasis, the immune system opportune response is essential. Recently, the system biology approach is relevant for better understanding the highly complex process of cancer metastasis and the immune system response CM-IS. Diverse
mathematical modeling and algorithmic simulations has been introduced in the tumor immune research. In spite of that the comprehension is far away to be satisfactory. In this paper we introduce an Ising Hamiltonian energy function to model the micro-environment of CM-IS,
focus on the innate immune system response.
References
Douglas Hanahan and Robert A. Weinberg. Hallmarks of Cancer:
The Next Generation. Cell, 144(5):646–674, March 2011.
Gregory L. Szeto and Stacey D. Finley. Integrative Approaches
to Cancer Immunotherapy. Trends in Cancer, 5(7):400–410,
July 2019.
Sonya S. Lowe, Brita Danielson, Crystal Beaumont, Sharon M.
Watanabe, Vickie E. Baracos, and Kerry S. Courneya. Correlates
of objectively measured sedentary behavior in cancer
patients with brain metastases: an application of the theory of
planned behavior. Psycho-Oncology, 24(7):757–762, 2015.
Kathleen A. Ashcraft, Ralph M. Peace, Allison S. Betof,
Mark W. Dewhirst, and Lee W. Jones. Efficacy and Mechanisms
of Aerobic Exercise on Cancer Initiation, Progression,
and Metastasis: A Critical Systematic Review of In Vivo Preclinical
Data. Cancer Research, 76(14):4032–4050, July 2016.
Majid Eslami, Bahman Yousefi, Parviz Kokhaei, Maral Hemati,
Zahra Rasouli Nejad, Vahid Arabkari, and Afshin Namdar. Importance
of probiotics in the prevention and treatment of colorectal
cancer. Journal of Cellular Physiology, 234(10):17127–
, 2019.
H´ector Peinado, Haiying Zhang, Irina R. Matei, Bruno Costa-
Silva, Ayuko Hoshino, Goncalo Rodrigues, Bethan Psaila,
Rosandra N. Kaplan, Jacqueline F. Bromberg, Yibin Kang,
Mina J. Bissell, Thomas R. Cox, Amato J. Giaccia, Janine T.
Erler, Sachie Hiratsuka, Cyrus M. Ghajar, and David Lyden.
Pre-metastatic niches: organ-specific homes for metastases.
Nature Reviews Cancer, 17(5):302–317, May 2017.
Arthur D. Lander. Pattern, Growth, and Control. Cell,
(6):955–969, March 2011.
Didier Barradas-Bautista, Matias Alvarado-Mentado, Mark
Agostino, and Germinal Cocho. Cancer growth and metastasis
as a metaphor of Go gaming: An Ising model approach. PLOS
ONE, 13(5):e0195654, May 2018.
Mills Gordon B. Ram Prahlad T.Werner, Henrica M. J. Cancer
systems biology: a peak into the future of patient care? Nature
Reviews Clinical Oncology, 11:167–176, March 2014.
Kiran Vanaja Paul A. Kurywchak Andre Levchenko Raghu
Kalluri Kshitiz Yasir Suhail, Margo P. Cain. Systems biology
of cancer metastasis. Cell Systems, 9:109–127, August 2019.
Chang Gong, Oleg Milberg, Bing Wang, Paolo Vicini,
Rajesh Narwal, Lorin Roskos, and Aleksander S. Popel.
A computational multiscale agent-based model for simulating
spatio-temporal tumour immune response to PD1 and
PDL1 inhibition. Journal of The Royal Society Interface,
(134):20170320, September 2017.
Philipp M. Altrock, Lin L. Liu, and Franziska Michor. The
mathematics of cancer: integrating quantitative models. Nature
Reviews Cancer, 15(12):730–745, December 2015.
Leili Shahriyari. A new hypothesis: Some metastases are the
result of inflammatory processes by adapted cells, especially
adapted immune cells at sites of inflammation. F1000Research,
, 02 2016.
Anfossi S Mego M Reddy NG Debeb B et al. Cohen EN,
Gao H. Inflammation mediated metastasis: Immune induced
epithelial-to-mesenchymal transition in inflammatory breast
cancer cells. PLoS ONE, 10, 2015.
Vanessa Barriga, Nyanbol Kuol, Kulmira Nurgali, and Vasso
Apostolopoulos. The Complex Interaction between the Tumor
Micro-Environment and Immune Checkpoints in Breast Cancer.
Cancers, 11(8):1205, August 2019.
Chris Cleveland, David Liao, and Robert Austin. Physics of
cancer propagation: A game theory perspective. AIP Advances,
(1):011202, March 2012.
Dass S. Vinay, Elizabeth P. Ryan, Graham Pawelec,Wamidh H.
Talib, John Stagg, Eyad Elkord, Terry Lichtor, William K.
Decker, Richard L. Whelan, H.M.C. Shantha Kumara,
Emanuela Signori, Kanya Honoki, Alexandros G. Georgakilas,
Amr Amin, William G. Helferich, Chandra S. Boosani, Gunjan
Guha, Maria Rosa Ciriolo, Sophie Chen, Sulma I. Mohammed,
Asfar S. Azmi, W. Nicol Keith, Alan Bilsland, Dipita Bhakta,
Dorota Halicka, Hiromasa Fujii, Katia Aquilano, S. Salman
Ashraf, Somaira Nowsheen, Xujuan Yang, Beom K. Choi, and
Byoung S. Kwon. Immune evasion in cancer: Mechanistic
basis and therapeutic strategies. Seminars in Cancer Biology,
:S185–S198, December 2015.
Paul K. Newton, Jeremy Mason, Brian Hurt, Kelly Bethel,
Lyudmila Bazhenova, Jorge Nieva, and Peter Kuhn. Entropy,
complexity and Markov diagrams for random walk cancer models.
Scientific Reports, 4(1):7558, May 2015.
Paul K Newton, Jeremy Mason, Neethi Venkatappa, Maxine
S Jochelson, Brian Hurt, Jorge Nieva, Elizabeth Comen,
Larry Norton, and Peter Kuhn. Spatiotemporal progression
of metastatic breast cancer: a Markov chain model highlighting
the role of early metastatic sites. npj Breast Cancer,
(1):15018, November 2015.
John Nash. Non-Cooperative Games. Annals of Mathematics,
(2):286–295, 1951.
David Silver, Julian Schrittwieser, Karen Simonyan, Ioannis
Antonoglou, Aja Huang, Arthur Guez, Thomas Hubert, Lucas
Baker, Matthew Lai, Adrian Bolton, Yutian Chen, Timothy
Lillicrap, Fan Hui, Laurent Sifre, George van den Driessche,
Thore Graepel, and Demis Hassabis. Mastering the game of
Go without human knowledge. Nature, 550(7676):354–359,
October 2017.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2020 Matías Alvarado Mentado, Renato Salomón Arroyo Duarte, Daniela Isisi Flores Silva
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Authors retain copyright and grant the Suplemento de la Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
