Abstract
All tumors, both benign and metastatic, undergo an avascular growth stage with nutrients supplied by the surrounding tissue. This avascular growth process is much easier to carry out in more qualitative and quantitative experiments starting from tumor spheroids in vitro with reliable reproducibility. Essentially, this tumor progression would be described as a sequence of phenotypes. Using agent-based simulation in a two-dimensional spatial lattice, we constructed a composite growth model in which the phenotypic behavior of tumor cells depends on not only the local nutrient concentration and cell count but also the game among cells. Our simulation results demonstrated that in silico tumors are qualitatively similar to those observed in tumor spheroid experiments. We also found that the payoffs in the game between two living cell phenotypes can influence the growth velocity and surface roughness of tumors at the same time. Finally, this current model is flexible and can be easily extended to discuss other situations, such as environmental heterogeneity and mutation.
Highlights
EGT has been used to address many aspects of cancer biology[26,27,28,29,30,31]
Gatenby et al demonstrated that carcinogenesis requires cellular proliferation to successfully adapt varying environmental constraints based on population biology and game theory[32,33,34]
In order to simulate tumor growth, we consider the host tissue represented by a two-dimensional (2D) square lattice of sides Ω = Lx × Ly, where Lx = Ly = L is the length of each side of the domain
Summary
The blood vessels around this domain supply the nutrients that are consumed by both healthy and tumor cells[47,48,49,50]. The remainder of this space is discretized to a regular grid in which one or more various cell types reside. The blood vessels around the area of interest supply the stable nutrient source. The conditions at those boundaries for Eq (1) take on the form φ(0,y; t) = φ(1, y; t) = φ (x,0;t) = φ (x,1;t) = 1
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