Cancer growth, metastasis and control likewise Go gaming: an Ising model approach

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1 Mathematics Department, Center for Research and Advanced Studies of the National Polytechnic Institute, Mexico city, Mexico
2 Computer Science Department, Center for Research and Advanced Studies of the National Polytechnic Institute, Mexico city, México
3 Physics Institute, Universidad Nacional Autónoma de México, Mexico city, Mexico
4 Complex Sciences Center, Universidad Nacional Autónoma de México, Mexico city, Mexico
5 Curtin Health Innovation Research Institute, Curtin University of Technology, Perth, Australia
DOI
10.7287/peerj.preprints.3434v1
Published
Accepted
Subject Areas
Bioinformatics, Biophysics, Computational Biology, Mathematical Biology, Computational Science
Keywords
Go gaming, Metastasis, Ising model, Common fate graph, Cancer, Simulations
Copyright
© 2017 Barradas-Bautista et al.
Licence
This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, reproduction and adaptation in any medium and for any purpose provided that it is properly attributed. For attribution, the original author(s), title, publication source (PeerJ Preprints) and either DOI or URL of the article must be cited.
Cite this article
Barradas-Bautista D, Alvarado M, Cocho G, Agostino M. 2017. Cancer growth, metastasis and control likewise Go gaming: an Ising model approach. PeerJ Preprints 5:e3434v1

Abstract

This work aims for modeling and simulating the metastasis of cancer, via the analogy between the cancer process and the board game Go. In the game of Go, black stones play first, could correspond to metastasis of cancer. Moreover, playing white stones on the second turn would correspond to the inhibition of cancer invasion. Mathematical modeling and algorithmic simulation of Go may, therefore, benefit the efforts to deploy therapies to surpass cancer illness by providing insight into the cellular growth and expansion over a tissue area. In this paper, we use the Ising Hamiltonian, an energy model to describe the energy exchange in interacting particles, to propose the modeling of cancer dynamics. Parameters in the energy function refer the biochemical elements that induce cancer metastasis; as well as, the biochemical immune system process of response.

Author Comment

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