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

Read more

Summary

Results

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

Proliferative αpp βip Invasive αpi βii
Necrotic cell
Necrotic cell count in one grid
Discussion
Additional Information

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.