I forgot to share this this when it was hot off the press, but last week +David Basanta
, +Jacob Scott
, +Robert Vander Velde
, and I released our latest preprint on the evolutionary games of cancer.
Here we introduce the double goods game for modeling acidity as a public good for all cancer cells, and oxygen from vasculature as a club good for non-glycolytic cancer cells. In this preprint, we focus on the case of linear goods, showing that our game has an internal equilibrium that one might not expect from previous analyses of the games in isolation. The dynamics in this case are (almost) identical to the optional public goods game (with the glycolytic cells as loners, and the slope of the acidity benefit function as their reward). The three possible dynamics regimes also have important consequences for treatment, in particular when it comes to scheduling concerns like timing, duration, and order.
If you prefer blog posts then this recent post has an overview of much of the content of the paper:https://egtheory.wordpress.com/2016/07/14/double-goods-dex/
If you still don't feel comfortable citing blog posts in your papers, but wanted to cite some of my work from TheEGG, then look at the appendices of this recent paper. What you want to cite might be there.
For those that prefer arXiv to the bioRxiv: http://arxiv.org/abs/1608.00985
If you have any comments on the work then please let me know. Either in the comments here, on the blog, or through email.