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

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